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ioda
3 years ago
12

Howard needs new gutters for the front and both sides of his home. The front of the house is 50 ft 8 in., and each side is 22 ft

9 in. Wide. What length of gutter must he buy?
Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

95 ft 10 in

Step-by-step explanation:

We need to add the lengths of the front of the house and both sides of the house:

50 ft 8 in + 2(22ft + 9in)

= 50ft + 8 in + 44ft + 18in

= 94ft + 22in

12 inches = 1 foot

22 inches = 1 ft 10 in

Therefore, the length of the gutter he must buy must be:

94 ft + 1 ft + 10 in

= 95 ft 10 in

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Please help.
yan [13]
131 3/4 ⇒ 115 5/8 ⇒ 5 2/3

Subtract 131 3/4 by 115 5/8.

131 3/4 ⇒ 131 6/8
131 6/8 - 115 5/8 = 16 1/8

Now add 16 1/8 + 5 2/3 and this will give you how much weight she lost in all.

16 1/8 ⇒ 16 3/24
5 2/3 ⇒ 5 16/24
16 3/24 + 5 16/24 = 21 19/24

Felice lost 21 19/24 pounds in all.
4 0
2 years ago
Read 2 more answers
This figure is made up of a quadrilateral and a semicircle.
Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

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

The length of AB is

AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}

The length of AD is

AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}

Since AB=AD, therefore ABCD is a square. The area of the of square is

A_1=a\times a=\sqrt{29}\times \sqrt{29} =29

The area of square is 29 units².

The area of a semicircle is

A_2=\frac{\pi}{2}r^2

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

r=\frac{d}{2}=\frac{\sqrt{29}}{2}

The area of the semicircle is

A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825

The area of the figure is

A=A_1+A_2=29+11.2825=40.3825\approx 40.4

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0
3 years ago
Choose the correct equation for the parabola based on the given information. Given: Focus:(2,8) Directrix: y = 4 a. 2(y-2)= (x-
Harman [31]
<h3>Answer:  c. 8(y-6) = (x-2)^2</h3>

Explanation:

The directrix is horizontal, so the axis of symmetry is vertical. We'll have an x^2 term. The vertical distance from y = 4 to y = 8 is 4 units. Cut this in half to get 2, which is the focal distance p = 2.

The point (2,4) is directly below (2,8), and the point is on the directrix. The midpoint between (2,4) and (2,8) is (2,6). This is the vertex.

(h,k) = (2,6)

4p(y-k) = (x-h)^2

4*2(y-6) = (x-2)^2

8(y-6) = (x-2)^2

8 0
3 years ago
A television had a regular price of 1400. It was on sale with a 30 discount. How much is the discount on the television
lilavasa [31]

Answer:

$420.

Step-by-step explanation:

What is 30% off 1400 Dollars. The easiest way of calculating discount is, in this case, to multiply the normal price $1400 by 30 then divide it by one hundred. So, the discount is equal to $420.

6 0
2 years ago
Which expression is equivalent to 9p+9p
mafiozo [28]

Answer:

18p? I don't know what other expressions could be equivalent. I just added 9p to 9p to get my answer.

8 0
2 years ago
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