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2 years ago

Maryam's rectangular bedroom is 9 feet by 12 feet. What is the diagonal distance from one corner to the opposite corner?

1 answer:

4 0

Create a right triangle with the the two legs being sides of 9 and 12...then use the Pythagorean theorem to solve

a^2 + b^2 = c^2

9^2 + 12^2 = c^2
81 + 144 = c^2
225 = c^2

Square root both sides to get c = 15 feet.

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I dont know the x of 30-2x=22

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Answer:

Step-by-step explanation:

30-22=2x

8=2x

8/2=x

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2 years ago

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Frank is making a pennant in the shape of a triangle for his senior class photo. He wants the base length of this triangle to be

Sav [38]

Answer:

Height should be ≤ 9 inches.

Step-by-step explanation:

Given:

Frank is making a pennant in the shape of a triangle for his senior class photo.

Base of triangle = 6 in

Area of triangle ≤ 27 $in^2$

Let height of the triangle be h

Now we now that,

Area of triangle = $\frac{1}{2}\times base \times height$

$\frac{1}{2}\times 6 \times h \leq 27\\\\3h\leq 27\\\\h\leq \frac{27}{3}\\\\h\leq 9 \ in.$

Hence the height of the triangle must be at most or ≤ 9 inches.

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2 years ago

A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's ar

Nataliya [291]

Width = W
Length = 3 times w = 3W

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2 years ago

The area of a rectangular fountain is x2 + 9x + 20 square feet. A 3-foot walkway is built around the fountain. Find the dimensio

Leto [7]

Answer:

(x+11) by (x+10)

Step-by-step explanation:

We know that Area = Length x width

Given: Area = x²+9x+20

Lets sort this out first

Area = x²+5x + 4x + 20

Area = x(x+5) + 4(x+5)

Area = (x+5) (x+4)

Therefore, it is concluded that:

Length 'l' = (x+5) feet

Width 'w' = (x+4) feet

if a 3-foot walkway is built around the fountain, we'll add 3 feet on both sides

Therefore,

Outer Length = (x+5+3+3) = (x+11) feet

Outer Width = (x+4+3+3) = (x+10) feet

Answer:

The fountain is (x+5) by (x+4).

dimensions of the outside border of the walkway are (x+11) by (x+10)

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3 years ago

A unit of electricity costs 13.2 pence. On average, tanya uses 90 units of electricity per week. She pays for her bill in 12 wee

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Her electricity bill will be of 14256 pence.

Explanation

On average, Tanya uses 90 units of electricity per week.

So, the total units of electricity in 12 weeks will be: $(90*12)=1080$ units

One unit of electricity costs 13.2 pence.

Thus, the total cost for 1080 units will be: $(13.2*1080)pence= 14256$ pence.

So, her electricity bill will be of 14256 pence.

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2 years ago

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