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jolli1 [7]
3 years ago
8

Select the correct answer.

Mathematics
1 answer:
BigorU [14]3 years ago
8 0

Step-by-step explanation:

The correct answer is B, y + 7 = 5x.

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Can someone please help me out with the last one<br> ASAP I WILL GIVE OUT BRAINLY
monitta

Answers:

  • x = 7
  • Area of shaded region = 162 square units

You may need to leave off the "square units" portion.

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

Explanation:

For now, ignore the smaller rectangle and its dimensions. The larger rectangle has sides 3x and x+5, which I'll call the length and width.

L = 3x

W = x+5

The perimeter of any rectangle is P = 2(L+W). Plug in those values of L and W, and also the given perimeter P = 66. Isolate x.

P = 2(L+W)

2(L+W) = P

2(3x+x+5) = 66

2(4x+5) = 66

8x+10 = 66

8x = 66-10

8x = 56

x = 56/8

x = 7

-------------------

Now that we know x, we can find the area of the rectangles.

As you probably can guess, the shaded region is the difference of the two areas.

A = area of larger rectangle

A = (length)*(width)

A = (3x)*(x+5)

A = (3*7)*(7+5)

A = 252

B = area of smaller rectangle

B = (x+3)*(x+2)

B = (7+3)*(7+2)

B = 90

C = area of shaded region

C = A - B

C = 252 - 90

C = 162 square units is the area of the shaded region.

4 0
3 years ago
Problem #1: A group of 5 people went white water rafting. They spent a total of
ale4655 [162]

$750

They spent 6 hours white water rafting.

$50x5=250

$250- $1000=$750

5 0
3 years ago
Whats the answer for this problem ?
riadik2000 [5.3K]
The answer is Square *8=h
I hope this helps.
6 0
3 years ago
Read 2 more answers
Given that 8 x − 3 y = 36 Find x when y = 3 Give your answer as an improper fraction in its simplest form.
Keith_Richards [23]

Answer:

5.62

Step-by-step explanation:

8x-3y=36

8x-3×3=36

8x=36+9

x=5.62

5 0
3 years ago
Read 2 more answers
mariela is standing in a building and looking out a window at a tree. The tree is 20 feet away from Mariela, Mariela's line of s
PtichkaEL [24]

Answer: 30.01 feet.

Step-by-step explanation:

You need to remember this identity:

tan\alpha=\frac{opposite}{adjacent}

Observe the figure attached, where h_t is the height in feet of the tree.

You need to calculate h_1 of the Triangle 1, where:

\alpha= \alpha_1=42\°\\opposite=h_1\\adjacent=20

Substitute values into tan\alpha=\frac{opposite}{adjacent} and solve for h_1:

tan(42\°)=\frac{h_1}{20}\\\\h_1=20*tan(42\°)\\h_1=18

Now you need to calculate h_2 of the Triangle 2, where:

\alpha= \alpha_2=31\°\\opposite=h_2\\adjacent=20

Substitute values into tan\alpha=\frac{opposite}{adjacent} and solve for h_2:

tan(31\°)=\frac{h_2}{20}\\\\h_2=20*tan(31\°)\\h_2=12.01

Then the height in feet of the tree is:

h_t=h_1+h_2\\h_t=(18+12.01)ft\\h_t=30.01ft

5 0
3 years ago
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