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3 years ago

Using the diagram below, what is the horizontal distance between the control tower and the plane?

Mathematics

1 answer:

Natali [406]3 years ago

6 0

Answer:

x = 664.093 m

Step-by-step explanation:

tan∅ = opposite over adjacent

Since we are trying to find the horizontal distance, that means we are dealing with the bottom length and not the hypotenuse (the diagonal length):

Our theta (∅) = 52°

Our opposite = 850 m

Our adjacent = x m

tan52° = 850/x

xtan52° = 850

x = 850/tan52°

x = 664.093 m

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A grocery store manager notices that this month her store sold a total of 623 gallons of ice cream, which represents a decrease

kotykmax [81]

Answer:

- The store sold 733 gallons of ice cream last month.

- The store sold 748 pounds of broccoli last month.

Step-by-step explanation:

Given

$Ice\ Cream = 623$

$\%\ Ice\ Cream = 15\%$

$Broccoli = 912$

$\%\ Broccoli = 22\%$

Solving (a): Gallons of Ice Cream

Let Gallons sold last month be G1; Gallons sold this month be G2;

The relationship between both is:

$G2 =G1 - 15\% * G1$

Substitute 623 for G2

$623 =G1 - 15\% * G1$

$623 =G1 - 0.15 * G1$

$623 =G1 - 0.15 G1$

$623 =0.85 G1$

Divide through by 0.85

$G1 = 623/0.85$

$G1 = 732.941176471$

$G1 = 733$

Solving (b): Pounds of Broccoli

Let Pounds sold last month be P1; Pounds sold this month be P2;

The relationship between both is:

$P2 =P1 + 22\% * P1$

Substitute 912 for P2

$912 =P1 + 22\% * P1$

$912 =P1 + 0.22 * P1$

$912 =P1 + 0.22 P1$

$912 =1.22 P1$

Divide through by 1.22

$P1 = 912/1.22$

$P1 = 747.540983607$

$P1 = 748$

6 0

3 years ago

Please answer please answer

inessss [21]

I attached a photo of my work below; I just screenshotted the photo you provided. I apologize in advance for any mistakes, it’s 1 am and I’m in need of some sleep. However, I hope it helps otherwise. Have a good one!

8 0

2 years ago

Read 2 more answers

1. Find the distance between two

BigorU [14]

Answer:

$\mathrm{D)\:}9.4\: \mathrm{units}$

Step-by-step explanation:

Solution 1:

Notice the $x$ coordinate of both points are equal, meaning both points are on a vertical line. The distance between two points on a vertical line is the absolute difference of their y-coordinates. The absolute difference between $4.7$ and $-4.7$ is $|4.7-4.7|=\fbox{$9.4$}$ .