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3 years ago

Find the area of the rectangle.

Mathematics

1 answer:

kirill115 [55]3 years ago

4 0

Answer:

40 units²

Step-by-step explanation:

Area of Rectangle: A = lw

Step 1: Define variables

l = 8

w = 5

Step 2: Substitute and evaluate

A = 8(5)

A = 40 u²

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Use the given information to find the value of x. Then, find the measure of angle ADC.

skad [1K]

Answer:

60degrees

Step-by-step explanation

To get the angle x, you must first know that the sum of angle at a point is 360degrees. Hence;

x + <ADB + <CDB = 360

x +150 + 150 = 360

x+ 300 = 360

x = 360 - 300

x = 60

Hence the value of x is 60degrees

5 0

3 years ago

The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).

mars1129 [50]

Answer:

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

This function has the following derivative, which represents the variation in relation to the previous month.

$S'(t) = 0.09t^{2} + t + 9$

Find S(2) and S'(2)

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

$S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24$

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(t) = 0.09t^{2} + t + 9$

$S'(2) = 0.09*2^{2} + 2 + 9 = 11.36$

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

7 0

3 years ago

Determine the distance between the following two points. (round to the nearest hundredths)

padilas [110]

Answer:

$d=7.07$

Step-by-step explanation:

Distance Formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Simply plug in the 2 coordinates into the distance formula to find distance d:

$d=\sqrt{(3-(-2))^2+(-4-1)^2}$

$d=\sqrt{(3+2)^2+(-5)^2}$

$d=\sqrt{(5)^2+25}$

$d=\sqrt{25+25}$

$d=\sqrt{50}$

$d=5\sqrt{2}$

$d=7.07$

5 0

2 years ago

Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in

Readme [11.4K]

Answer:

$\huge\boxed{7\ \text{inches}}$

Step-by-step explanation:

As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.

However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.

Hope this helped!

3 0

3 years ago

A raft traveled 24 miles upstream on a river in 6 hours. The return trip took the raft 3 hours. What is the rate of the raft in

Lynna [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

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