Answer:
3 I think it's 3. sorry if I'm wrong
The correct answer is (3) they map lines to parallel lines
Transformation is the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, left or right in the coordinate plane.
Translation is a rigid transformation, that is, it preserves the size and shape of the figure. Reflection and rotation are also rigid transformation.
Translation maps lines to parallel lines whereas rotation does not since it changes the direction of the line.
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Find the median of the data. 12,33,18,28,29,12,17,4,2
Answer:
Step-by-step explanation:
2, 4, 12, 12, 17, 18, 28, 29, 33
(17+18)/2
35/2= 17.5 is the median
The median is 17 for the data. 12,33,18,28,29,12,17,4,2 which is a mid value of the data.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have data:
12, 33, 18, 28, 29, 12, 17, 4, 2
After arranging in accending orde:
2, 4, 12, 12, 17, 18, 28, 29, 33
As we can see the mid-value is 17
Median = 17
Thus, the median is 17 for the data. 12,33,18,28,29,12,17,4,2 which is a mid value of the data.
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venona is solving the equation-3+4x=9 in order to isolate the variable term
Answer:
x = 3
Step-by-step explanation:
-3 + 4x = 9 .... add the 3 over
4x = 12 .... divide by 4
x = 3
What transformations were applied to ABC to obtain A'B'C'?
Answer: rotated 90 degrees counterclockwise and shifted 2 units up.
Step-by-step explanation:
What is the midline equation of the function? do I add 5.5 to 3.5 then divide ? Thanks in advance
Answer:
The midline of the function is y = 2.
Step-by-step explanation:
Midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.
The midline of a sinusoidal function passes exactly in the middle of its extreme values.
Since the amplitude of a sinusoid is equal to the vertical distance from its midline to one of its extrema, we can calculate the midline using one of the following formulas.
midline = max value − amplitude
midline = min value + amplitude
According to the graph, the maximum value of the function is 5.5, and the amplitude is 3.5.
So, the midline is
midline = max value − amplitude
midline = 5.5 − 3.5 = 2
Want brainliest? Get this correct , What is one of the negative effects of globalization?
Answer:
B
Step-by-step explanation:
the reason is, i suffered it ;)
The distance between the towns of Averton and Brackston is 10km. On map the distance is 5cm. What is the scale of the map in its simplest form
Answer: The scale of the map in its simplest form is 1:200,000
Step-by-step explanation: From the question,
The distance between the two towns is 10km which is a distance of 5cm on the map.
This means, 5cm represents 10km. Now we will determine what 1cm represents.
If 5cm represents 10km
Then 1cm will represent (10÷5) km
Hence, 1 cm will represent 2km
Now, convert 2km to cm
2km = 2000m = 200,000cm
Hence, 1cm represents 200,000cm
This means on the map 1cm represents 200,000cm.
The scale of the map is therefore
1:200,000
Cars lose value the farther they are driven. A random sample of
11
1111 cars for sale was taken. All
11
1111 cars were the same make and model. A line was fit to the data to model the relationship between how far each car had been driven and its selling price.
Complete Question
which on these linear equations best describe the given model
The description and diagram of the model is shown on the first uploaded image
Answer:
The linear equation is [tex]y = -\frac{1}{4}x + 40[/tex]
Step-by-step explanation:
Generally a linear equation is mathematically represented as
[tex]y = mx+c[/tex]
m is the slope which can be obtained from the graph diagram as
[tex]s = \frac{30 -20}{80 -40}[/tex]
[tex]s = \frac{1}{4}[/tex]
Now this slope is a negative slope as seen from the diagram so
[tex]s =-\frac{1}{4}[/tex]
The intercept is 40 as seen from the graph
So the linear equation is
[tex]y = -\frac{1}{4}x + 40[/tex]
Answer:
sorry i need the points
Step-by-step explanation:
After sitting out of a refrigerator for a while, a turkey at room temperature 71 f is placed into an oven. The oven temperature is 325 f. Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the oven.
The turkey reaches the temperature of 117 f after 1.5 hours. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 4.5 hours.
Answer: The value of k to the nearest thousandth is -0.133
The of the turkey to the nearest degree after 4.5 hours is 186F
Step-by-step explanation: Please see the attachments below
We are interested in knowing more about the number of hours students study for ST 311 each week. We know that there are 800 students enrolled in the course, with 35 students per section. We also know that ST 311 students study 10 hours a week on average, and that the standard deviation is 2 hours. We randomly sample 40 students taking the course, and record the average number of hours that they study per week. What is the sample size? A. 35 B. 40 C. 100 D. 800
Answer:
B. 40
Step-by-step explanation:
What do you understand by sample size; a sample size is a little portion of a large number we which to investigate. Imagine we wanted to know the electricity consumption of people in a town of 200million people sometimes we could do that be investigating that of 50million especially when you know the conditions would be no different from others. In this sense the sample size is 50 million because that's the one we are investigating.
Similarly our concern of interest for investigation is 40, so that's the sample size.
Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. The host then says to you, "Do you want to pick door No. 2 instead of door No. 1?" Is it to your advantage to switch your choice?
Answer:
I think it is to my advantage to switch my choice to door 2.
Step-by-step explanation:
Under the normal circumstances, switching to another choice has increased one,s chances to getting a car which is 2/3 and just sticking to a choice gets one 1/3.
Since we already have a vague idea bout what is already behind doors 1 and 3, I think it is to my advantage to switch my choice to door 2.
How many cubes of side 3 cm can be cut from a wooden solid cuboid with dimensions 12 cm x 12 cm x 9 cm?
Answer:
48 cubes can be cut from the wooden cuboid
Step-by-step explanation:
Total calculate this, we will first of all find the volume of the cuboid, and the volume of the cubes to be cut, then divide the volumes to see how many cubes can be cut from the cuboid.
Volume of cuboid = 12 × 12 × 9 = 1296 cm
volumes of each cube to be cut = 3 × 3 × 3 = 27 cm
Next, we will divide the volume of cuboid by the volume of the cubes:
Number of cubes = Volume of cuboid ÷ volume of cubes
Number of cubes = 1296 ÷ 27 = 48 cubes
Therefore, 48 cubes of sides 3cm can be cut from the wooden cuboid
Which of the following terms describes a company's first sale of stock to the
public?
O A. Circular flow model
B. Debt financing
O C. Venture capital
D. Initial public offering
Answer:
D. Initial public offering
Step-by-step explanation:
A P E X
Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
Answer:
y=-1/3x+6 .Hope this helps
Answer:
3y = -x + 18
Step-by-step explanation:
Given the equation y = 3x + 2;
By comparison with the general equation
y = mx + C ; where m is the slope
We see that m = 3
Now for a perpendicular line and it's slope is -1/m = -1/3 and let it be M2
But the new slope cuts across points (3,5) .
It means M2 = y - 5/ x-3
-1/3 = y-5/ x-3
-1(x-3) = 3(y-5)
-x +3 = 3y -15
3y = -x + 18
The formula for the total surface area of closed hemisphere for any value of R is S=
Answer:
The formula for the total surface area of closed hemisphere for any value of R is S = 3πR²
Step-by-step explanation:
The total surface area of closed hemisphere is given as;
Curved surface area of the hemisphere + Base surface area of the hemisphere
Curved surface area of the hemisphere, A= 2πr²
Base surface area of the hemisphere, B = πr²
The total surface area of closed hemisphere, S = A + B
The total surface area of closed hemisphere, S = 2πr² + πr² = 3πr²
Therefore, The formula for the total surface area of closed hemisphere for any value of R is S = 3πR²
What is the definition of an acute angle?
Answer:
Measure less 90 degrees
Step-by-step explanation:
Less than 90 degrees measure acute angle. 90 degrees in right corner. Obtuse corners are larger than 90 degrees
Hope this helps.
Answer: An angle less than 90 degrees
Step-by-step explanation:
An angle that is less than 90° is known as an acute angle. The acute angle is otherwise called the angle which is less than the right angle.
A 65 ft. long swimming pool is to be constructed. The pool will be 4 ft. deep at one end and 11 ft. deep at the other. To the nearest degree, what will be the measure of the acute angle the bottom of the pool makes with the wall at the deep end
Answer:
Measure of the acute angle = 84°
Step-by-step explanation:
In the figure attached,
ABDE is a swimming pool having length 'AB' = 65 feet
Depth of one end of the pool is BE = 4 feet
And depth of the other end AD = 11 feet
Acute angle between the bottom of the pool (DE) and wall of the deep end (AD) is ∠ADE.
Now from ΔCDE,
tanx = [tex]\frac{EC}{DC}[/tex]
tanx = [tex]\frac{7}{65}[/tex]
x = [tex]\text{tan}^{-1}(\frac{7}{65})[/tex]
x = 6.15°
Now measure of acute angle the bottom of the pool makes with wall at he deep end,
m∠ADE = (90 - 6.15)°
= 83.85°
≈ 84°
What is the length of CD?
Answer:
Step-by-step explanation:
Standard CDs have a diameter of 120 millimetres (4.7 in) and can hold up to about 80 minutes of uncompressed audio or about 700 MiB of data. The Mini CD has various diameters ranging from 60 to 80 millimetres (2.4 to 3.1 in); they are sometimes used for CD singles, storing up to 24 minutes of audio, or delivering device drivers.
The answer is option B) 26
What is the Pythagorean theorem?Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Hypotenuse² = Perpendicular²+ Base²
c² = a² + b²
Given here, BC=37 , CA=53 and ∠C=∠B=90° therefore by Pythagoras theorem we can write AB² = 37²+53²
AB= 64.63
again using Pythagoras' theorem we have where ∠B is 90°
AB² + BD² = AD²
AB² + 37² + CD² = (CD+53)²
(64.63)² + 37² + CD² = CD² + 106CD +53²
CD²=(64.63²-53²+37²)/106
CD=26 (approx)
Hence the final answer is 26
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The following statement is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample to the statement. if the statement is true, give a justification. if v_1, v_2, v_3 are in ropf^3 and v_3 is not a linear combination of v_1, v_2, then {v_1, v_2, v_3} is linearly independent. fill in the blanks below. the statement is take v_1 and v_2 to be multiples of one vector and take v_3 to be not a multiple of that vector. for example, v_1 = [1 1 1], v_2 = [2 2 2], v_3 = [1 0 0] since at least one of the vectors is a linear combination of the other two, the three vectors are linearly
Answer:
Step-by-step explanation:
The following statement is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample to the statement. if the statement is true, give a justification. if v_1, v_2, v_3 are in ropf^3 and v_3 is not a linear combination of v_1, v_2, then {v_1, v_2, v_3} is linearly independent. fill in the blanks below. the statement is take v_1 and v_2 to be multiples of one vector and take v_3 to be not a multiple of that vector. for example, v_1 = [1 1 1], v_2 = [2 2 2], v_3 = [1 0 0] since at least one of the vectors is a linear combination of the other two, the three vectors are linearly
Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders.
Answer:
The size will be "431".
Step-by-step explanation:
On assuming:
P1 = 0.5
P2 = 0.5
Now,
[tex]q1=1-p1[/tex]
[tex]=1-0.5[/tex]
[tex]=0.5[/tex]
and,
[tex]q2=1-p2[/tex]
[tex]=1-0.5[/tex]
[tex]=0.5[/tex]
Margin's error will be,
E = 0.07
For 96% CI critical will be:
Z = 2.054
So,
Sample size = [tex](p1q1+p2q2)\times (\frac{Z}{E})^2[/tex]
On putting the estimated values, we get
= [tex](0.5\times 0.5+0.5\times 0.5)\times (\frac{2.054}{0.07})^2[/tex]
= [tex](0.25+0.25)\times (29.3)^2[/tex]
= [tex](0.5)\times (858.49)[/tex]
= 431
A board measures 2½m by 1¼m and costs 750 naira. calculate the cost of 1m² of the board.
Answer:
240naira
Step-by-step explanation:
The board measures 2½m by 1¼m
The area of the board is;
2½× 1¼ = 5/2 × 5/4 = 25/8 m²;
But 25/8 m² cost 750 naira;
Therefore 1m² cost 750 / 25/8
750 × 8/25 =
30 × 8
240naira
what is -5 + 4 please send help
Answer:
The answer is -1
Hope this helped :3
Notice that we had an overall accuracy greater than 96% in the training data, but the overall accuracy was lower in the test data. This can happen often if we overtrain. In fact, it could be the case that a single feature is not the best choice. For example, a combination of features might be optimal. Using a single feature and optimizing the cutoff as we did on our training data can lead to overfitting. Given that we know the test data, we can treat it like we did our training data to see if the same feature with a different cutoff will optimize our predictions. Which feature best optimizes our overall accuracy
Answer:
Step-by-step explanation:
Training data overall accuracy is >96%
Test data overall accuracy is <96%
A single feature is not the best choice but a combination of features might be optimal.
The feature that best optimizes your overall accuracy is the combination of both cut off scores. The mean of the two cut off scores will optimize your predictions of overall accuracy.
Please answer this correctly I have to finish this today.I want genius people or expert people to answer this correctly without making mistakes
Answer:
Surface Area is 16π mm²
Step-by-step explanation:
Remember me? (I answered your question before) Do I count as "genius people or expert people"? I certainly hope so.
The area for a cylinder's surface area is
a=2πrh+2πr²
The cylinder base's radius is 2 mm
The cylinder's height is 2 mm
Putting into the equation:
a=2×π×2×2+2×π×2²
a=2π×2×2+2×π×2²
a=4π×2+2×π×2²
a=8π+2×π×2²
a=8π+2×π×4
a=8π+2π×4
a=8π+8π
a=16π
The surface area of the cylinder is 16π mm².
Which of the following trigonometric equations meets the criteria given? amplitude = 3, period = , phase shift = y = 3sin(x-) y = 3sin2(x-) y = 3sin2(x-2)
Answer:
the last one
Step-by-step explanation:
Answer:
y = 3sin2(x - pi)
Step-by-step explanation:
The number in front of the trigonometric value (sin, cos, tan, etc.) indicates the amplitude. If the period is pi then the value in front of x must be 2, because frequency (in other words, the period) is determined by the equation 2pi/B, where the value in front of (x) is B. And if the phase shift is pi, or positive pi, then the corresponding equation must be (x - pi) because it's always the opposite.
Rocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. According to U.S. National Park Service statistics, 46.7% of visitors to Rocky Mountain National Park in 2018 entered through the Beaver Meadows park entrance, 24.3% of visitors entered through the Fall River park entrance, 6.3% of visitors entered through the Grand Lake park entrance, and 22.7% of visitors had no recorded point of entry to the park.† Consider a random sample of 175 Rocky Mountain National Park visitors. Use the normal approximation of the binomial distribution to answer the following questions. (Round your answers to four decimal places.)
(a) What is the probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance?(b) What is the probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance?(c) What is the probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance?(d) What is the probability that more than 55 visitors have no recorded point of entry?
Answer:
a) 0.6628 = 66.28% probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance
b) 0.5141 = 51.41% probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance
c) 0.5596 = 55.96% probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance.
d) 0.9978 = 99.78% probability that more than 55 visitors have no recorded point of entry
Step-by-step explanation:
Using the normal approximation to the binomial.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In this problem, we have that:
175 visitors, so [tex]n = 175[/tex]
a)
46.7% through the Beaver Meadows, so [tex]p = 0.467[/tex]
[tex]\mu = E(X) = np = 175*0.467 = 81.725[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.467*0.533} = 6.6[/tex]
This probability, using continuity correction, is [tex]P(X \geq 85 - 0.5) = P(X \geq 84.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 84.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{84.5 - 81.725}{6.6}[/tex]
[tex]Z = 0.42[/tex]
[tex]Z = 0.42[/tex] has a pvalue of 0.6628.
66.28% probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance.
b)
This is [tex]P(80 - 0.5 \leq X < 90 - 0.5) = P(79.5 \leq X \leq 89.5)[/tex], which is the pvalue of Z when X = 89.5 subtracted by the pvalue of Z when X = 79.5. So
X = 89.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{89.5 - 81.725}{6.6}[/tex]
[tex]Z = 1.18[/tex]
[tex]Z = 1.18[/tex] has a pvalue of 0.8810.
X = 79.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{79.5 - 81.725}{6.6}[/tex]
[tex]Z = -0.34[/tex]
[tex]Z = -0.34[/tex] has a pvalue of 0.3669.
0.8810 - 0.3669 = 0.5141
0.5141 = 51.41% probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance
c)
6.3% over the Grand Lake park entrance, so [tex]p = 0.063[/tex]
[tex]\mu = E(X) = np = 175*0.063 = 11.025[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.063*0.937} = 3.2141[/tex]
This probability is P(X < 12 - 0.5) = P(X < 11.5), which is the pvalue of Z when X = 11.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{11.5 - 11.025}{3.2141}[/tex]
[tex]Z = 0.15[/tex]
[tex]Z = 0.15[/tex] has a pvalue of 0.5596.
55.96% probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance.
d)
22.7% with no recorded point, so [tex]p = 0.227[/tex]
[tex]\mu = E(X) = np = 175*0.227 = 39.725[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.227*0.773} = 5.54[/tex]
This probability is [tex]P(X \leq 55 + 0.5) = P(X \leq 55.5)[/tex], which is the pvalue of Z when X = 55.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55.5 - 39.725}{5.54}[/tex]
[tex]Z = 2.85[/tex]
[tex]Z = 2.85[/tex] has a pvalue of 0.9978
99.78% probability that more than 55 visitors have no recorded point of entry
need help fast this is time
Answer:
x= 34
Step-by-step explanation:
96 + 50 + x = 180
180 - 146 = x
x= 34
Answer: x = 34
Step-by-step explanation:
The interior angles of a triangle add up to 180.
So we can set an equation to 180 like this: [tex]180 = x + 96 + 50[/tex]
We can simplify this:
[tex]180 = x +146[/tex]
Now we need to isolate x to solve for it.
We do this by subtracting the 146.
[tex]34 = x[/tex]
A project team assesses their primary risk factor's probability of failure with a maturity risk of 0.3, a complexity risk of 0.7, and a dependency risk of 0.8. The probability of failure is:
a. Greater than 0.3 but less than or equal to 0.55.
b. Greater than or equal to 0.9.
c. Greater than 0.56 but less than or equal to 0.89.
d. Less than or equal to 0.3.
Answer:
b. Greater than or equal to 0.9.
Step-by-step explanation:
We have three types of risks, that can make the project fail independently.
The probability of failure have to be calculated as the complement of the probability of success, and the probability of success is the probability of avoiding each of the risks.
The probability of avoiding each of the risks is the complementary probability of each risk. For example, the probability of avoiding the maturity risk (0.3) is 1-0.3=0.7.
Then, we can calculate the probabilty of success as:
[tex]P_s=(1-P_{mr})(1-P_{cr})(1-P_{dr})\\\\P_s=(1-0.3)(1-0.7)(1-0.8)\\\\P_s=0.7\cdot 0.3\cdot 0.2\\\\P_s=0.042[/tex]
Then, the probability of failure is the complementary of the probability of success:
[tex]P_f=1-P_s\\\\P_f=1-0.042=0.958[/tex]
The probability of failure is Pf=0.958
Choose the best answer to explain whether the question is statistical or not statistical. How far from work does Jeremy live?
Answer:
not statistical
Step-by-step explanation:
Jane is using a sextant to measure her distance from a building of height 270 feet. Her eyes
are 5 feet 3 inches above the ground. The angle of elevation from her viewpoint using the
sextant is 40°. How far away, measured to the nearest foot, is Jane from the building?
a) 221 feet b) 203 feet c) 170 feet d) 316 feet e) none of these.
Answer:
d) 316 feet
Step-by-step explanation:
Now 3 Inches = 0.25 feet
Therefore: 5 feet 3 inches =5.25 feet
The problem forms a right triangle in which the height of the triangle
= 270 -5.25 =264.75 feet.
Using Trigonometric ratios
[tex]\tan 40^\circ=\dfrac{264.75}{y} \\$Cross multiply\\y\tan 40^\circ=264.75\\y=264.75 \div \tan 40^\circ\\y=315.5$ feet[/tex]
Therefore, Jane is approximately 316 feet from the building.
Answer: d) 316 feet
Step-by-step explanation:
A right angled triangle ABC is formed.
BC represents the height of the building minus the height of Jane's eyes from the ground. AB represents Jane's distance from the building.
12 inches = 1 feet
3 inches = 3/12 = 0.25 feet
Therefore, the height of her eyes from the ground is 5 + 0.25 = 5.25 feet
Therefore, BC = 270 - 5.25 = 264.75 feet
To determine AB, we would apply the the tan trigonometric ratio which is expressed as
Tan# = opposite side/adjacent side
Tan 40 = 264.75/AB
AB = 264.75/tan40
AB = 264.75/0.839
AB = 316 feet
Find the y intercept of the line 3y=12x+15
Answer:
y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 12x + 15 ( divide all terms by 3 )
y = 4x + 5 ← in slope- intercept form
with y- intercept c = 5
The y-intercept of the given line, 3y=12x+15 is: 5.
What is the y-intercept of a line?The slope-intercept form equation of a line easily helps us to determine the y-intercept of the line, b.y = mx + b represents the equation of a line in slope-intercept form."b" is the y-intercept.Given:
3y=12x+15
Rewrite in slope-intercept formy = 12x/3 + 15/3
y = 4x + 5
Therefore, the y-intercept of the given line, 3y=12x+15 is: 5.
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