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4 years ago

Area of the polygon??? Help me !!!!

Mathematics

2 answers:

vitfil [10]4 years ago

8 0

do the larger area minus the smaller area

10 * 12 = 120

9*4 = 36

120-36 = 84 square units

elena55 [62]4 years ago

4 0

It would be A hope it helped!

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An airplane takes 3 hours to travel a distance of 1680 miles with the wind. The return trip was 4 hours against wind. Find the s

nasty-shy [4]

Answer:

Speed of plane in still air: 490 mile/hour

speed of wind: 70 mile/hour

Step-by-step explanation:

still speed = x wind speed = w

with wind: speed = still + wind

(x+w) * 3 = 1680 ...a

against wind: speed = still - wind

(x-w) * 4 = 1680 ...b

b-a ... 4x-4w-3x-3w = 0

x-7w = 0

x = 7w

substitution: (7w+w)*3 = 1680 8w = 560 wind speed (w) = 70

still speed (x) = 7w = 490 mile/hour

5 0

3 years ago

= table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.

denpristay [2]

Answer:

A. Slope is -12 feet per second

B. Yes, it is constant.

<u>Skills needed: Linear Equations, Substitution and Division</u>

Step-by-step explanation:

1) Solving Part A (we need to find the slope):

The slope is $\frac{y_2-y_1}{x_2-x_1}$ --> $y_1$ , $y_2$ , $x_1$ , and $x_2$ are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.

2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:

- $\frac{y_2-y_1}{x_2-x_1}$ ==> $\frac{1090-1150}{10-5}$ ==> $1090-1150=-60, 10-5=5$ ==> $\frac{-60}{5}$

$\frac{-60}{5} =-12$ , so the slope is -12.

==================================================================

1) Part B (analysis)

We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.

8 0

3 years ago

Lenny worked 7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. His gross pay for all three days was $196.90.

Elza [17]

Answer:

8.95

Step-by-step explanation: Add the hours and divide the money by the amount of hours

7 0

3 years ago

Find the focus of the parabola whose vertex is at<br> the origin and whose directrix is x = 3.

defon

Answer:

Step-by-step explanation:

Vertex is halfway between focus and directrix, so focus is (-3,0).

6 0

3 years ago

a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate

Misha Larkins [42]

Answer:

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

Step-by-step explanation:

Given that

Volume of cube = V = 2197 cubic feet

Side of cube = a =?

Height of ware house = h = 14 feet

In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h

In order to check this we have to find the side/height of crate

So,

$V = a^3\\2197 = a^3$

Taking cube root on both sides

$\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet$

So the height of cube is 13 feet.

Comparing the height of c and height of ware house we can conclude that

Height of Warehouse > Height of crate

h>a

14>13

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

7 0

3 years ago