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Naya [18.7K]
3 years ago
9

What is the area of figure ABCD?

Mathematics
1 answer:
klasskru [66]3 years ago
8 0

Answer: 120

Step-by-step explanation: We can solve this by finding the area of the right triangle and the area of the rectengle and adding both of them. To find the area of the rectengle we use the formula base times height or (b)(h). The base is 13 and the height is 8 so it turns to 8 times 13 which equalls 104. We then need to find the area of the traingle. The formula for that is one half times base times heigt of (1/2)(b)(h). The height of the traingle is the same as the height of the rectengle which is 8 inches. The base of the rectangle is 13 and the base of the rectangle plus the base of the traiangle is 17. To find the base of the traingle we do 17-13 which equalls 4. We then input these numbers into the equation (1/2)(b)(h) which is (1/2)(8)(4) which equals 16. The area of the rectangle (104 inches) plus the area of thetriangle (16 inches) equal 120.

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If f(x) = 5x, what is f–1(x)?
Verdich [7]
We are given f(x) = 5x
and we are to find inverse of f(x).

Step 1:
Replace f(x) by y.
So,

y = 5x

Step 2:
Isolate x
So,

x = y/5

Step 3:
Replace x by f'(y)
So,

f'(y) = y/5

Step 4:
Replace all occurrences of y by x.
So,

f'(x) = x/5

Therefore, the inverse of f(x) = 5x is f'(x) = x/5
7 0
3 years ago
Two factory plants are making TV panels. Yesterday, Plant A produced 6000 panels. Seven percent of the panels from Plant A and 2
azamat

Answer:

1% of 4000 + 4% of B = 2% of (4000 + B)

40 + 0.04*B = 0.02( 4000 + B)

40 + 0.04* B = 80 + 0.02*B

40 + 0.04*B - 80 - 0.02B = 0

0.02*B - 40 = 0

0.02*B = 40

2B = 4000

B = 2000

Step-by-step explanation:

7 0
3 years ago
87-(36.5-11.5)*(-3)+9 simplify using order of operations
OLga [1]
Remember PEMDAS 
Do parentheses, results in 25. So whats left is 87-25*(-3)+9
Then you multiply -25 by -3, answer is 75.        87+75+9
Add all of them up.                                                171
The answer is 171!
5 0
3 years ago
Read 2 more answers
Solve for x. 2x - 9 I - 2 16<br>i need how yo solve <br>​
puteri [66]
Can you rewrite the equation? It doesn’t make sense
4 0
3 years ago
In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur
miv72 [106K]

The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = ^{18}C_{2}

^{18}C_{2} = \frac{18!}{(18-2)!2!}

^{18}C_{2} = \frac{18!}{16!2!}

^{18}C_{2} = \frac{18\times17\times16!}{16!\times2!}

^{18}C_{2} = \frac{18\times17}{2\times1}

^{18}C_{2} = \frac{306}{2}

^{18}C_{2} = 153

∴ The number of handshakes = 153 handshakes

Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.

Learn more here: brainly.com/question/1991469

5 0
2 years ago
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