Answer:
The measure of the complement =
= 80°
The measure of the supplement=
= 170°
Step-by-step explanation:
Let
90-x equal the degree measure of its complement
180-x equal the degree measure of its supplement.
We are told in the question that: the supplement of a given angle is 10 degrees more than twice its complement.
Hence, the Equation is;
(180 - x) = 10° + 2(90 - x)
180 - x = 10 + 180 - 2x
Collect like terms
-x + 2x = 10 + 180 - 180
x = 10°
Hence,
The measure of the complement =
90 - x
= 90 - 10
= 80°
The measure of the supplement=
180 - x
= 180 - 10
= 170°
Paula has a large ball of yarn that she is going to use to knit a scarf for the winter. Every square inch on the scarf requires a certain number of yards of yarn from the ball. A linear model of this situation contains the values (11 , 352.99) and (30 , 126.7), where x represents the number of square inches knitted on the scarf, and y represents the number of yards remaining on the ball of yarn. How many yards of yarn did Paula start with?
Answer:
She started with 484 yarns
Step-by-step explanation:
Given
[tex](x_1,y_1) = (11,352.99)[/tex]
[tex](x_2,y_2) = (30,126.7)[/tex]
Required
Number of yarns she started with
The interpretation of this question is to calculate the y intercept.
We strt by calculating the slope (m)
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{352.99 - 126.7}{11 - 30}[/tex]
[tex]m = \frac{226.29}{-19}[/tex]
[tex]m = -11.91[/tex]
Next, we calculate the linear equation as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (11,352.99)[/tex]
[tex]m = -11.91[/tex]
[tex]y - 352.99 = -11.91(x - 11)[/tex]
[tex]y - 352.99 = -11.91x + 131.01[/tex]
Make y the subject
[tex]y= -11.91x + 131.01 + 352.99[/tex]
[tex]y= -11.91x +484[/tex]
A linear equation has the form
[tex]y=mx + b[/tex]
Where
[tex]b = y\ intercept[/tex]
By comparison.
[tex]b = 484[/tex]
Hence, she started with 484 yarns
need some help (Geo)
Answer:
hi
Step-by-step explanation:
Please help me I need this
Answer:
since it's increasing 15% each year, it'll be linear, having a slope of 15.
Step-by-step explanation:
Because the users are increasing a percentage over time the function would be exponential.
The answer is exponential.
Write the slope-intercept form of the equation of the line through the given point and slope.
through: (-2,-2) slope:
A.y = 3x - 1
B.y = 2x +3
C.y = x + 7
D.y=x
Answer:
hmmmm
Step-by-step explanation:
Sarah reads 51 pages in 17 days.
Sarah's unit rate is _________ pages per day.
Must show work!
Answer:
sarah is a slow reader.....51/17=3
so she reads 3 pages per day
Step-by-step explanation:
1. One factor is a two digit number between 1 and 10 2. One factor is a two digit number between 1 and 10 ( different from the first) 3. The product is greater than 8. But less than 10
Answer: 3.5 * 2.5 = 8.75
Step-by-step explanation:
The factors are to be less than 10 but are should be two digit numbers. The only way this is possible would be if they had decimals.
Which two numbers below 10 can give a product less than 10 but more than 8?
3 and 3 would give 9 which is the closest to our constraints.
Both numbers cannot be similar however and have to have a decimal but the factors should be around 3 but not up to 4 as this would pass the 10.
3.5 * 2.5 = 8.75 would work.
A car is traveling at 45 miles per hour. Once the car starts to brake, it's speed (s) is related to the number of seconds (t) it spends braking according to the formula shown below. s=10t+45
Determine how many seconds it takes for the car to stop.
Answer: 55t
Step-by-step explanation:
The time taken by the car to stop is 1.28 seconds.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that a car is travelling at 45 miles per hour. Once the car starts to brake, its speed (s) is related to the number of seconds (t) it spends braking according to the formula shown below. s=10t+45.
The formula to calculate the speed is written as,
V = s / t
Here s = 10t + 45 substitutes the value in the formula and calculate the time,
45 = ( 10t + 45 ) / t
45t = 10t + 45
35t = 45
t = 45 / 35
t = 1.28 seconds
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-x/6 +10 = 11
I need the value for x it’s either
-6 or 6
Answer:-6
Step-by-step explanation:
use pathway with a m
which calculation and answer show how to convert 9/16 to a decimal
Answer: 0.5625
Step-by-step explanation:
A is ur answer
h ope it helps!
In 60 seconds, a car in a parade travels 0.2 mile. The car traveled the last 0.05 mile in 12 seconds. How long did it take for the car to travel 0.1 mile?
Answer:
First 0.1 miles: 32 seconds
Last 0.1 miles: 28 seconds
Step-by-step explanation:
The car traveled 0.2 mile in 60 seconds.
The last 0.05 miles were done in 12 seconds.
Then the first 0.2 - 0.05 = 0.15 miles were done in 60 - 12 = 48 seconds. The speed of the car was: 0.15/48 = 0.003125 mi/s
At this speed it takes 0.1/0.003125 = 32 s to travel the first 0.1 mile.
In the second 0.1 mile, 0.05 miles are done at the same speed than before. It takes 0.05/0.003125 = 16 s, the next 0.05 miles were traveled in 12 seconds, making a total of 16+12 = 28 seconds
The family built a house that has a length and width in a ratio of 5: 4, what is the length and width of the house if the total area of two identical floors is 160m2
I hope it will help u , please Brain -list the question
Step-by-step explanation:As given that
L:W=5:4
L/W=5/4
L=(5/4)W
hence we also know that
Area of rectangle= L*W
As given A=160m2
putt the value of A and L=(5/4)W in above equation ,
hence 160 = (5/4)W * W
W^2 = 160*4/5
W^2 = 32*4
W^2=128
taking square root
W= +_ 11.3
but length can't be negative so we take positive value of W
W=11.3 m
Now for L putt in above equation,
L=5/4 * 11.3 = 14.12 m
The percent of each number?
200% of 10
A. 20
B. 200
C. 2,000
D. 20,000
sorry if this is easy i dont listen :l
20
Step-by-step explanation:
please mark me as branliest and follow me
dilation with a scale factor of 2 centered at (1 2)
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would show how to solve.
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.
Dilation is the enlargement or reduction of the size of an object by a factor.
If a point A(x, y) is dilated by a factor k with a center of dilation at (a, b), then the new point is:
A'(x, y) = [k(x - a) + a, k(y - b) + b]
Let us assume that point A(2, 0) dilation with a scale factor of 2 centered at (1, 2). Hence the new point is:
A'(x, y) = [2(2 - 1) + 1, 2(0 - 2) + 2] = (3, -2)
Pls help it’s due today. I’ll give BRAINLIEST
Answer:
You can't get an actual amount unless you know the length of one of the sides. Other than that, AC would be 3 times as much as DE minus 10 units
Step-by-step explanation:
Find the actual sum 1 3/4+ 1 5/8 to determine how much david grew in two years. Use the estimate to explain how you know your answer is reasonable.Show your work.
Answer:
S = 27/8
Step-by-step explanation:
We need to find the actual sum of [tex]1\dfrac{3}{4}+1\dfrac{5}{8}[/tex].
We need to find how much Devid grew in two years.
[tex]1\dfrac{3}{4}=\dfrac{7}{4}[/tex]
and
[tex]1\dfrac{5}{8}=\dfrac{13}{8}[/tex]
Sum means,
[tex]S=\dfrac{7}{4}+\dfrac{13}{8}\\\\=\dfrac{7(2)+13}{8}\\\\=\dfrac{14+13}{8}\\\\=\dfrac{27}{8}[/tex]
Hence, the answer is 27/8.
How do I find the 5 roots of 1^(1/5) using De Moivre's Theorem?
Do you mean the 5th roots of 1? Or the 5th roots of 1^(1/5), i.e. the 5th roots of the 5th roots of 1?
I assume you mean the former. To begin with,
1 = exp(0°i ) = cos(0°) + i sin(0°)
Take the 5th root, i.e. (1/5)th power of both sides, so that by DeMoivre's theorem,
1^(1/5) = [ cos(0°) + i sin(0°) ]^(1/5)
1^(1/5) = cos((0° + 360°n)/5) + i sin((0° + 360°n)/5)
where n = 0, 1, 2, 3, or 4. Then 1^(1/5) has the 5 possible values,
• cos(0°/5) + i sin(0°/5) = 1
• cos(360°/5) + i sin(360°/5) = cos(72°) + i sin(72°)
• cos(720°/5) + i sin(720°/5) = cos(144°) + i sin(144°)
• cos(1080°/5) + i sin(1080°/5) = cos(216°) + i sin(216°)
• cos(1440°/5) + i sin(1440°/5) = cos(288°) + i sin(288°)
If you wish, or are required to, you can go on to write these in terms of radicals by expanding cos(5x) and sin(5x) (where x = 72° so that 5x = 360°). For example,
cos(5x) = cos⁵(x) - 10 cos³(x) sin²(x) + 5 cos(x) sin⁴(x)
cos(5x) = cos⁵(x) - 10 cos³(x) (1 - cos²(x)) + 5 cos(x) (1 - cos²(x))²
cos(5x) = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)
which follows from the expansion
(cos(x) + i sin(x))⁵ = cos(5x) + i sin(5x)
due to DeMoivre's theorem and equating the real parts. Then cos(5x) = 1, and you can try to solve for cos(x) :
1 = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)
Actually, it would be easier to find sin(x) first, since sin(5x) = 0. The expansion in terms of sin(x) will look quite similar to the one shown here.
I picked the blue one, was I correct?
Answer:
yes
Step-by-step explanation:
The given formula
[tex]a_{n}[/tex] = 5n + 3 ← is an explicit formula for an arithmetic sequence
3x + 5y = 25
x - 2y = -6
______This equation can be solved for _____
easily.
What fraction of a whole turn is 45°? *
Answer:
the fraction is answer
Step-by-step explanation:
Katelyn ate ⅓ of an apple pie, and Chad ate ⅜ of the same pie. What fraction of the pie was eaten?
Answer:
17/24
Step-by-step explanation:
1. This is an addition problem. Remember, when adding fractions, you first need to find a common denominator.
What is a number that both 3 and 8 go into? (If you don't know, then you can just multiply the numbers and use that as the denominator)3 x 8 = 24The new denominator is 24.2. To find the numerator, multiply the current numerators by the number of times the original denominators divide into 24.
For example, 3 divides into 24 a total of 8 times. So, multiply 1 by 8 to turn 1/3 into 8/24.Do the same for 3/8, except multiply it by 3 because 8 goes into 24 three times. This makes the fraction equal 9/24.3. Now that the denominators are the same, add the numerators and keep the denominator for now.
8/24 + 9/24 = 17/244. Usually, you would have to reduce the fraction, but since 17/24 is already reduced to its simplest form, 17/24 is your answer.
(20p) Write the equation that represents a circle with center (−10, −6) and radius 9 units.
Answer:
The equation of a circle is:
(x−x0)2+(y−y0)2=R2
where x0 and y0 are the center of the circle (x0,y0) and R is the radius of the circle.
Step-by-step explanation:
Step-by-step explanation:
The equation of the circle is (x + 10)² + (y + 6)² = 81.
Anybody know the answer
Answer:
8
Step-by-step explanation:
pytherogream triple or smth
17,15,8
225+64=289
Which of the following is a zero for the function f(x) = (x - 15)(x + 1)(x - 10)?
x=-15
x=-10
x=1
x= 15
Answer:
x=15
Step-by-step explanation:
Compute the sales commission:
Amount $4,500.00
Rate 5%
900 hope this helped
what is the mean absolute deviation of the numbers in the list?
32, 43, 38, 28, 51
A. 34.4
B. 6.88
C. 38.4
D. 7.68
Answer:
The mean for these numbers would have to be 38.4
Forgive me if I'm wrong!
Step-by-step explanation:
-5y + 31 = y – 11 plz give me the anser
solve for x... Please i need help!
Answer:
6
Step-by-step explanation:
x=6
ax+bx=cx
10+bx=16
10+6=16
x=6
Plzzzz help me!!!!!!!!!!
Answer:
The most specific way you can name this shape is parallelogram.
4x-5=x+13 is the equation that can be used to solve for x.
3x = 18
x is equal to 6
AC is equal to 2*(6+13) = 2*19 = 38
What are the answers here?
Answer:
x
Step-by-step explanation:
y interspect x
Solve for c.
2(c +1) = 10
Answer:
c = 4
Step-by-step explanation:
[tex]2(c+1) = 10[/tex]
Lets divide both the sides by 2.
[tex]=> \frac{2 (c+1)}{2} = \frac{10}{2}[/tex]
[tex]=> c + 1 = 5[/tex]
Now , lets substract 1 on both the sides.
[tex]=> c + 1 - 1 = 5 - 1[/tex]
[tex]=> c = 4[/tex]
The solution to the equation 2(c + 1) = 10 is c = 4.
We have,
To solve for c in equation 2(c + 1) = 10, we will apply the distributive property and simplify the equation step by step.
Let's solve it:
Distribute the 2 to the terms inside the parentheses:
2c + 2 = 10
Move the constant term (2) to the right side by subtracting 2 from both sides of the equation:
2c + 2 - 2 = 10 - 2
Simplifying further:
2c = 8
Divide both sides of the equation by 2 to solve for c:
(2c) / 2 = 8 / 2
Simplifying further:
c = 4
Therefore,
The solution to the equation 2(c + 1) = 10 is c = 4.
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