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3 years ago

A and b are complementary angles. a measures 32º. What is the measure of b?

Mathematics

1 answer:

Trava [24]3 years ago

5 0

Answer:

A = 32º and B = 58º

Step-by-step explanation:

A complementary angle measures at 90º. If angle A is 32º, we can write an equation to solve for B.

32 + B = 90

32 - 32 + B = 90 - 32

B = 58

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An executive for the movie production company wants to create a function that models this data. . Create a function that can be

stich3 [128]

Functions can be modeled by equations, tables and graphs

The equation that models the function is $y = \frac 14x +1$
The domain of the function is the set of whole numbers
The company should expect 4 box office gross in week 10

<h3>How to determine the function</h3>

From the question, we have the following ordered pairs

(x,y) = (0,1) and (4,2)

The function is a linear function.

So, we start by calculating the slope (m) using:

$m = \frac{y_2 - y_1}{x_2 -x_1}$

Substitute known values

$m = \frac{2 - 1}{4 - 0}$

$m = \frac{1}{4}$

The equation is then calculated as:

$y = m(x -x_1) +y_1$

This gives

$y = \frac 14(x -0) +1$

$y = \frac 14x +1$

The domain of the above function is the set of whole numbers

Substitute 10 for x, to calculate the number of box office gross for week 10

$y = \frac 14 * 10 +1$

$y = 3.5$

Approximate

$y = 4$

Hence, the company should expect 4 box office gross in week 10

Read more about linear functions at:

brainly.com/question/15602982

5 0

2 years ago

Write an equation for the line that passes through (−10,3) and whose slope is undefined. Give an answer in standard form.

PSYCHO15rus [73]

Answer:

y=-10x+3

Step-by-step explanation:

The slope is -10

7 0

3 years ago

HELP I WILL MARK BRAINLIEST

Alborosie

Answer:

I think your right my dude

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the height of the tree in the image below? 10 points Wall 4 6 ft 24 O I foot O 36 foot None of the above

Zinaida [17]

16 ft

Explanation

Step 1

because the ligth comes in the same angle, we have 2 similar triangles .

so,as the triangles are similar,the ratio of the shorter leg to the bigger leg must be equal.

$\begin{gathered} ratio=\frac{shorter\text{ leg}}{\text{bigger leg}} \\ ratio1=ratio2 \\ \frac{h}{24}=\frac{4}{6} \end{gathered}$

Step 2

solve for h

$\begin{gathered} \frac{h}{24}=\frac{4}{6} \\ \text{cross multiply} \\ 6\cdot h=4\cdot24 \\ 6h=96 \\ \text{divide boths} \\ \frac{6h}{6}=\frac{96}{6} \\ h=16 \end{gathered}$

therefore, the heigth of the tree is 16 ft

5 0

1 year ago

6,000 dollars is invested in two different accounts earning 3%and 5% interest. At the end of the year, the two accounts earned 2

nadezda [96]

Hi there

To solve this question
0.03x+0.05 (6000-x)=220
Solve for x to know How much money was invested at 3%
First multiply the values
0.03x+0.05×6000-0.05x=220
0.03x+300-0.05x=220
Second calculate the difference and rearranging the values
0.03x-0.05x=220-300
-0.02x=-80
Divide both sides by-0.02 and divide the values
X=-0.02/-80
x=4000 invested at 3% this is the answer of your question

While the amount invested at 5% is
6000-4000=2000

Good luck!

5 0

3 years ago