Answer:
87 || 2,700 || 2,787
Step-by-step explanation:
29x3=87
180x15=2,700
2,700+87=2,787
(cot theta + cosec theta)/(cosec theta (1 + (cot theta/ cosec theta)).
I promise brainliest for right answer
The given expression [tex]\dfrac{\frac{cos \theta}{sin \theta} + \frac{1}{sin\theta} }{\frac{1}{sin \theta} (1+cos \theta)} =1[/tex] is true
Proving trigonometry identityGiven the expression
[tex]\frac{cot \theta + cosec \theta}{cosec \theta(1+\frac{cot \theta}{cosec \theta} )} =1[/tex]
Note that:
cotθ = cosθ/sinθcosecθ = 1/sinθSubstituting the given parameters into the formula;
[tex]\frac{\frac{cos \theta}{sin \theta} + \frac{1}{sin\theta} }{\frac{1}{sin \theta} (1+cos \theta)} =1[/tex]
Find the LCM of both the numerator and denominator
[tex]= \dfrac{\frac{cos \theta + 1}{sin \theta} }{(\frac{1+cos \theta}{sin \theta} )}\\[/tex]
Divide the result to have:
[tex]= \frac{1+cos \theta}{sin \theta} \times \frac{sin \theta}{1+cos \theta}\\ = \frac{1}{1}\\ = 1 (Proved)[/tex]
Learn more on proofs of trigonometry identity here: https://brainly.com/question/7331447
Hope it helps.
If you have any query, feel free to ask
Solve 5(n-2)=-30 check your solution
Answer:
n>=-4
Step-by-step explanation:
(0 - 5 • (n - 2)) - 30 ≤ 0
-5n - 20 = -5 • (n + 4)
-5 • (n + 4) ≤ 0
Divide both sides by -5
Subtract 4 from both sides which is n ≥ -4
Answer:
n = -4Step-by-step Solution:
5(n - 2) = -30=> 5n - 10 = -30=> 5n = -30 + 10=> 5n = -20=> n = -4Check:
5(n - 2) = -30 => 5(-4 - 2) = -30=> 5(-6) = -30=> -30 = -30Hence, this is correct.
Can anyone tell me what’s the answer??
Answer:
x = 10
y = 25
Step-by-step explanation:
if you add the equations as they are then the 'y-term' is eliminated:
60x = 600
x = 10
substitute x=10 to find value of 'y':
40(10) + 4y = 500
400 + 4y = 500
4y = 100
y = 25
Check:
20(10) - 4(25) should equal 100
200 - 100 = 100
100 = 100
Bert has 4 dogs and 5 cans of dog food.How much dog food does each dog get if Bert give each dog the same amount
Answer:
1.25 cans or 1 1/4
Step-by-step explanation:
5 divided by 4 = 1.25
Answer:
1.25
Step-by-step explanation:
A confectionery company that uses only natural flavoring is approached by a company that produces artificial flavors. The artificial flavor producer presents a study that shows 99% of people cannot tell the difference between artificial flavors and natural flavors. What is the problem with this study?
-self-interest
-missing data
-voluntary response
-correlation and causality
The problom with this study would be self-intrest. Your welcome
What is the slope of the line that passes through the points (9, 2) and (9, 27)? Write your answer in simplest form.
Answer:
undefined
Step-by-step explanation:
y2 -y1
______
x2 -x1
27 - 2
_____
9-9
25
__
0
The line is a vertical line, thus, the slope is not defined.
What is the slope of the line that passes through the two given points?If we know that a line passes through two points (a, b) and (c, d), then the slope is given by the expression:
slope = (d - b)/(c - a)
Here we have the two points (9, 2) and (9, 27)
So the slope is:
slope = (27 - 2)/(9 - 9)
That tends to infinity, and this happens because this is a vertical line. So the slope is undefined.
Learn more about slopes at:
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Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your conclusion. -x=-10
The equation has
how many solutions and what goes in the blanks after
.
Answer:
Step-by-step explanation:
the equation has none because-1because-10 w9nt touch the x axis. One is 10 and I don't know the other.
Hey I need help with please show your work
Thank you.
Answer:
315
Step-by-step explanation:
→ Substitute the first equation into the second
a + 21a = 330
→ Simplify
22a = 330
→ Solve for a
a = 15
→ Multiply answer by 21
15 × 21 = 315
a. WZ= ZY
b . c. XZ | WY
d. XWY = XYW
please help!!
Answer:
B. ∠WXZ ≅∠YXZ
Step-by-step explanation:
In the method of Side-Angle-Side:
We need ∠WXZ ≅∠YXZ which tells us that
WX and YX are equal as isosceles.Angle X is equal for both of them. XZ has similar side.This goes side to angle to side. Therefore its true.
what is 4.2 divided by 0.14 and how do u divide it correctly?
Answer:
30
Step-by-step explanation:
So, im doing it in fractions
First we have to convert:
4.2= 4 2/10= 4 1/5
0.14=14/100
Then make fractions( if needed)
21/5÷14/100
21/5x100/24=2100/70=210/7=30
Mr.Green pays $240 for Netflix over the course of 2 years. What is the cost per MONTH that he is currently paying? *
Answer:
10 $ per month
Step-by-step explanation:
divide the payment by the number of months
Jared is tiling his kitchen. He wants to buy tile at the cheapest price. The local hardware store sells tile for $5.27 per square foot of tile. The cost at the mega hardware store is shown in the graph. There is a proportional relationship between the number of tiles bought and the cost of the tiles. What is the cheapest price Jared will pay for 100 square feet of tile
The cheapest price for 100 square feet $527 is at the local hardware store.
What is the price for 100 square feet at the local hardware store?The total price is equivalent to the price of tile per foot multiplied by 100.
$5.27 per square foot of tile x 100 = $527What is the price for 100 square feet at a mega hardware store?The total price is equivalent to the price of tile per foot multiplied by 100.
$5.35 per square foot of tile x 100 = $535Note: This question is incomplete because the graph is missing; here is the graph.
Learn more about square feet in: https://brainly.com/question/478298
3. Cell phone provider A offers a plan that costs $83 per month with unlimited
provider B charges $47 per month and $0 per ol over the limited data usage provided. For how
many gigs of data over the data provided doos cell phone provider 'n plan cout more than provider
А?
Answer:
Step-by-step explanation:
which of the following numbers is a rational number a. square root of 5 b. square root of 83 c. square root of 91 d. cube root of 125.
Answer:
d. cube root of 125
Step-by-step explanation:
A: square root of 5 is 2.23606.. and so on. this is an irrational number because it's a non-repeating and non-terminating decimal.
B: square root of 83 is 9.1104.. and so on. this is an irrational number because it's a non-repeating and non-terminating decimal.
C: square root of 91 is 9.5393920.. and so on. this is an irrational number because it's a non-repeating and non-terminating decimal.
D: cube root of 125 is 5. this is a rational number because it falls under the set of natural numbers, whole numbers, and integers.
What's the cube root?
The cube root of a number is number you multiply by itself three times to get another number. Some common cubes are 27 (cube root is 3), 64 (cube root is 4), and 215 (cube root is 5).Have a lovely rest of your day/night, and good luck with your assignments! ♡
What equation represents this graph? (ANSWER QUICK)
Answer:
I do believe y= -2
Rise over run method
Justin’s doctor said that the expression StartFraction x y 5 over 2 EndFraction, where x and y are his parents’ current heights in inches, gives an estimate of how tall Justin will be as an adult. Justin’s work evaluating the formula is shown below. Mom’s height = 54 inches Dad’s height = 71 inches StartFraction 71 54 5 over 2 EndFraction = 71 27 5 = 103 inches What error did Justin make? He should have made x equal 54 and y equal 71. He should have added the values in the numerator before dividing by 2. He should have divided the 71 by 2 instead of the 27. He should have made the numerator 76 59.
Answer:
Its B ^^
Step-by-step explanation:
He should have added the values in the numerator before dividing by 2.
Given
Justin’s doctor said that the expression;
Expression;[tex]\rm \dfrac{x+y+5}{2}[/tex]
Where x and y are his parents’ current heights in inches.
Mom’s height = 54 inches Dad’s height = 71 inches.
Substitute all the values in the equation;
[tex]\rm= \dfrac{x+y+5}{2} =\\\\=\dfrac{71+54+5}{2} \\\\= \dfrac{130}{2}\\\\= 65[/tex]
Hence, He should have added the values in the numerator before dividing by 2.
To know more about Equation click the link given below.
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A family worked all day building a sandcastle on the beach. As they were building the castle they recorded the number of pails of sand that
were used. In all, the creation used 20 pails of sand. Each pail was cylindrical in shape, had a radius of 5" and was 10" in height. How many
cubic inches of sand were used in building the family's castle? (let pi = 3.14)
Answer:
15708 cubic inches
Step-by-step explanation:
The formula for a cylandir is V=πr^2h, substitute in your known factors and multiply by 20 for the 20 pails used and you get your answer.
What is the degree of 5x-6?
Answer:
1
Step-by-step explanation:
The highest power of variable x is the degree of the polynomial.
Highest power of x = 1
Degree of polynomial = 1
Solve the system of equations: {y=5/4x-2
y=-1/4x+19
PLEASE HELP
Answer:
x = 14
y = 31/2
Step-by-step explanation:
[tex]y = \dfrac{5}{4}x-2 ---------------(i)\\\\\\y =\dfrac{-1}{4}x + 19 --------------(ii)\\\\\\Substitute \ y =\dfrac{5}{4}x -2 \ in \ equation \ (2) \\\\\\\dfrac{5}{4}x-2=\dfrac{-1}{4}x+19\\\\\\\dfrac{5}{4}x-2+\dfrac{1}{4}x=19\\\\\\\dfrac{6}{4}x-2=19\\\\\\\dfrac{6}{4}x=19+2\\\\\\\dfrac{6}{4}x=21\\\\\\x=21*\dfrac{4}{6}\\\\\\x=\dfrac{7*4}{2}\\\\\\x=7*2=14\\\\\\substitute \ x= 14\ in \ equation (1)\\\\\\y=\dfrac{5}{4}*14 }-2\\\\y=\dfrac{35}{2}-2\\\\\\[/tex]
[tex]y=\dfrac{35}{2}-\dfrac{2*2}{1*2}\\\\\\y=\dfrac{35}{2}-\dfrac{4}{2}\\\\y=\dfrac{31}{2}[/tex]
calculate the value of x in each case
First taking small triangle,
Perpendicular(P') = 5cm
Base(B) = y (let)
Hypotenuse(H') = 12cm
so,
(H')² = (P')² + (B)²
(12)² = (5)² + (y)²
(y)² = 144 - 25
(y)² = 119
Now taking big triangle,
Perpendicular (P) = 12+5 = 17cm
Base (B) = y (already supposed)
Hypotenuse (H) = x
so,
(H)² = (P)² + (B)²
(x)² = (17)² + (y)²
(x)² = 289 + 119 = 408
x = √408
Hope it helps...Which graph shows data whose r-value is most likely closest to 0?
A graph shows both axes unnumbered. Points show a downward trend.
A graph shows both axes unnumbered. Points show an upward trend.
A graph shows both axes unnumbered. Points show a downward trend.
A graph shows both axes unnumbered. Points are scattered all over the graph.
Answer:
D) A graph shows both axes unnumbered. Points are scattered all over the graph.
Step-by-step explanation:
The value of "r" tells you how strong the correlation is between the independent and dependent variables. If its close to 0, then there will be hardly any correlation, so a good example of this is the 4th option where there's no pattern in the data set.
Answer:
B
Step-by-step explanation:
The lines represented by the equations 12y – 8x = -72 and y = 2/3 x – 3
are
perpendicular
parallel
the same line
neither parallel nor perpendicular
Answer:
They are parallel
Step-by-step explanation:
Same slope but different y-intercept
Answer: It is parallel.
Step-by-step explanation: Both equations have the same slope but different y-intercepts, the -3 and -6 in the picture.
Evelyn watches airplanes take off at an airport. She is 200 meters away from where the planes take off from the runway. The initial angle at takeoff of a plane is 12°. A triangle is shown. The triangle is made up of the initial takeoff of the plane, where the plane currently is in the sky, and where Evelyn is watching the plane. The angle of takeoff is 12 degrees. The distance from the initial takeoff to Evelyn is 200 meters and the distance from the initial takeoff to the plane apostrophe s current position is 100 meters. What is true when the plane is 100 meters away from takeoff? Check all that apply. The given information is the SSS case. The given information is the SAS case. The given information is the SSA case. Evelyn is approximately 104 meters from the plane. The angle of elevation of the plane is 12°.
Two triangle are congruent when the shape and size of both the triangle are same.
The given information is the SAS case. Thus the option B is the correct option.
What is triangle congruence theorem?Two triangle are congruent when the shape and size of both the triangle are same.
Triangle congruence theorem are-
Angle-Side-Angle theorem (AAS)- This theorem states that two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.Side-Side-Side theorem (SSS)- When the three sides of the one triangle is equal to the three sides of the other triangle respectively, then the triangle are congruent. Side-Angle-Side theorem (SAS)- Two sides and the included angle of are equal to the two sides and one angle of other triangle respectively.Given information-
The distance of the Evelyn from the airplane is 200 meters.
The initial angle at takeoff of the plane is 12 degrees.
Evelyn is approximately 104 meters from the plane.
The angle of elevation of the plane is 12°.
The triangle made for this situation is attached below.
As in the shown triangle below this question. The distance of Evelyn from the initial takeoff of the plane is shown.
This distance is equal to the base of the triangle. Therefore we get the one side of the tingle.
Now the plane is flied 100 meters, which gives the value of another side of the triangle as shown in the image below attached.
Angle of elevation of the plane is 12 degrees, which gives the one angle of the triangle.
Thus we have one side equal to the 100 meters, one angle equal to the 12 degrees and another side with equal to the 200 meters.
Thus it is the case of side angle side.
Hence, the given information is the SAS case. Thus the option B is the correct option.
Learn more about the triangle congruence theorem here;
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Answer:
The correct answer would be options B. D. and E.
Step-by-step explanation:
Just got this correct on edge. - hope this helps!
Brainliest would be greatly appreciated :)
Type the expressions as radicals.
q 3/2
√q³ your answer
pls mark me in branlist
An equation of the line that contains the origin and the point (1, 2) is
a) y = 2x
b) 2y = x
c) y = x - 1 d) y = 2x + 1 e) =x-1
d) y = 2x + 1 e) =x-1
e) =x-1
Answer:
a) y = 2x
Step-by-step explanation:
We can plug in the two points of (1, 2) and (0, 0) to find our answer. I am going to start by plugging in (0, 0). If it works, I will then plugin (1, 2)
a) y = 2x
0 = 2(0)
0 = 0 ✓
2 = (2)1
2 = 2 ✓
-> We got lucky, the first equation satisfies the question!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Bob is thinking about leasing a car. The lease comes with an interest rate of 8%. Determine the money factor that will be used to calculate Bob’s payment. A. 0. 00033 b. 0. 00192 c. 0. 00333 d. 0. 1920.
The money factor will be used to calculate Bob’s payment is 0.0033.
Given
Bob is thinking about leasing a car.
The lease comes with an interest rate of 8%.
How to calculate the money factor?The money factors can be converted to interest rates by multiplying by 2,400.
In the same vein, if the car dealer uses an interest rate, this can be converted to a money factor by dividing by 2,400.
[tex]\rm APR = 2400 \times money\ factor\\\\Money \ factor = \dfrac{ARP}{2400}[/tex]
Therefore,
The money factor will be used to calculate Bob’s payment is;
[tex]\rm APR = 2400 \times money\ factor\\\\Money \ factor = \dfrac{ARP}{2400}\\\\Money \ factor = \dfrac{0.08}{2400}\\\\Money \ factor =0.0033[/tex]
Hence, the money factor will be used to calculate Bob’s payment is 0.0033.
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Answer:
✅ C. 0.00333
CORRECT ⬇️
Amy has 27 pounds of raisins. She divides the raisins equally into 12 bags.
How many pounds of raisins are in each bag? Tell how many zeros you had to write at the end of the
dividend to solve.
Each bag has
pounds of raisins. You had to write
zeros at the end of the dividend.
[Answer in picture below]
Answer/Step-by-step explanation:
To calculate how many pounds of raisins are in each bag, we have to divide the pounds of raisins by number of bags.
To be precise, we are looking for next quotient:
27 / 12 = ?
Divide until you have an amount less than the divisor left over.Insert a decimal point and a zero at the end of the dividend.Place a decimal point in the quotient above the decimal point in the dividend.Continue dividing
There are 25 packs
of rib-eye steaks on
display at a supermarket.
If each pack weighs 2.5
pounds, how many
pounds of rib-eye steaks
in total are available for
sale at the supermarket
help meeeeeeeeeeee plz plz
Answer:
A) it is positive because it has points in both the bottom left quadrant and the top right quadrant of a graph
B) slope=2/5
Step-by-step explanation:
A student creates a table of the equation y = 5x + 8. The student begins the table as shown below. Which shows the correct headings for the columns?
Answer:
1
Step-by-step explanation:
Column A=X the first value for x is 1
Column B has the x value replaced in the equation 5x+8. 5(1) + 8
Column C has the result, y=13
