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Kobotan [32]
2 years ago
10

How tall is a building that casts a 71​-ft shadow when the angle of elevation of the sun is 29 degrees​?

Mathematics
1 answer:
TiliK225 [7]2 years ago
4 0
We can use trigonometry to solve the problem. First draw a picture of the situation to understand what is going on (See the attached photo).

Next, we can use the tangent  function to solve for the height of the building:

tan(29^{\circ})= \frac{h}{71}

Next, rearrange the problem to solve for h:

h = 71tan(29^{\circ})

h = 39.356 ft

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-2 is the slope

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Wendy is helping her mom put candy in 217 giftbagd. Each bag has 7 pieces of candy. She already put 58 pieces of candy in the ba
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Algebra 1 Prerequisites
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3 years ago
A supermarket is selling two types of​ candies, orange slices and strawberry leaves. The orange slices cost $1.27 per pound and
garik1379 [7]

The question here has wrong numbers. Here is the correct question:

A supermarket is selling 2 types of candies, orange slices and strawberry leaves. The orange slices cost $1.27 per pound and the strawberry leaves cost $1.77 per pound. How many pounds of each should be mixed to get a 13-pound mixture that sells for $19.01?

Answer:

8 pounds of orange slices and 5 pounds of strawberry leaves

Step-by-step explanation:

This question is related to simple algebra

Let x represent orange slices weight

Let y represent strawberry leaves weight

The sum of the weights of x and y will be 13 pounds

So first equation will be x + y = 13

The total cost will be $19.01

So the second equation will be

1.27x + 1.77y = 19.01

Using first equation  

x + y = 13

x = 13 – y

Substituting this in the second equation

1.27 (13 - y) + 1.77y = 19.01

16.51 – 1.27y + 1.77y = 19.01

16.51 + 0.5y = 19.01

y = 5

 

Using this value of y to find x

x = 13 – y

x = 13 – 5

x = 8

So 8 pounds of orange slices and 5 pounds of strawberry leaves

3 0
2 years ago
Read 2 more answers
9.5 is what percent of 500?
natta225 [31]
9.5% of 500 = 47.5

9.5% × 500 =

(9.5 ÷ 100) × 500 =

(9.5 × 500) ÷ 100 =

4,750 ÷ 100 =

47.5;
3 0
2 years ago
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