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Nat2105 [25]
2 years ago
8

In a triangle the base is 4/7 the height and their sum is 110cm. A square is 7/8 of the triangle. Calculate the perimeter of the

square​
Mathematics
2 answers:
rusak2 [61]2 years ago
8 0

Answer:

  • 60 cm

Step-by-step explanation:

Let the height is x, the the base is 4/7x.

<u>Their sum is 110 cm:</u>

  • x + 4/7x = 110
  • 11/7x = 110
  • x = 70

<u>The base is:</u>

  • 110 - 70 = 40 cm

<u>The area of the triangle is:</u>

  • A = 1/2bh = 1/2*70*40 = 1400 cm²

<u>Area of the square:</u>

  • 1400*7/8 = 1225 cm²

<u>Side of the square:</u>

  • √1225 = 15 cm

<u>Perimeter of the square:</u>

  • 15 cm * 4 = 60 cm
Likurg_2 [28]2 years ago
3 0

Perimeter is the continuous line forming the boundary of a closed geometric figure.The formula to find perimeter is (length+width)x2

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Max and pedro both clean pools. Each charges a flat fee to clean a pool. Max cleans 12 pools in 8 hours and earned $270. Pedro c
marshall27 [118]

Answer:

The number of pools clean per hour is 1.5

Step-by-step explanation:

Given as :

The number of pools clean in 8 hours = 12

The number of pools clean in 7.5 hours = 9

Let The number of pools they clean per hours = x

I.e x = \frac{8}{12} +  \frac{7.5}{9}

Or, x =  \frac{24+30}{36}

Or, x =  \frac{54}{36}

∴   x =  \frac{3}{2}

I.e x = 1.5

Hence The number of pools clean per hour is 1.5 Answer

3 0
3 years ago
(3x + 5)º<br> (6x + 13)°
Zigmanuir [339]

Answer: 18x2 + 69x + 65

Step-by-step explanation:

(3x + 5) (~6x + 13)

1. 3x(6x + 13) + 5(6x + 13)

2. 18x2 + 39x + 5(6x + 13)

3. 18x2 + 39x + 30 + 65

4. 18x2 + 69 + 65

6 0
3 years ago
Identify the range of the function y=4x-2 domain={-1,-2,-3,-4}​
olga55 [171]

Answer:

<h2>The range: {-6, -10, -14, -18}</h2>

Step-by-step explanation:

Put the values of x from the domain to the equation of a function y = 4x - 2:

for x = -1

y = 4(-1) - 2 = -4 - 2 = -6

for x = -2

y = 4(-2) - 2 = -8 - 2 = -10

for x = -3

y = 4(-3) - 2 = -12 - 2 = -14

for x = -4

y = 4(-4) - 2 = -16 - 2 = -18

7 0
3 years ago
Karl is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an
natali 33 [55]

Answer:

The width of the garden bed must be less than or equal to 4 feet.

w\leq4

Explanation:

Given that;

She has 20 feet of boards to make the sides.

The perimeter of the garden bed must not be more than 20 feet

\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}

Given;

The length is 6 feet;

l=6

To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;

\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}

Therefore, the width of the garden bed must be less than or equal to 4 feet.

w\leq4

8 0
1 year ago
Solve the simultaneous equations<br>8x – 3y = 30<br>3x + y = 7​
hodyreva [135]
Solve for y in 3x+7=y

y=7−3x

Substitute y=7−3x

y=7−3x into 8x−3y=30

8x−3y=30.

17x−21=30

Solve for x

x in 17x−21=30

17x−21=30.

X=3

Substitute x=3 into y=7−3x

y=-2

Therefore,

x=3

y=−2

​

6 0
3 years ago
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