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natita [175]
3 years ago
5

Aaron is having rain gutters installed around the perimeter of his roof. How much will he spend if he is charged $3.50 per foot?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0

Answer:

$294.35

Step-by-step explanation:

left and right side of the house: 15 ft + 15 ft = 30 ft

top part of the house: (20 ft - 12 ft = 8 ft) 8ft + 9.6 ft + 7.5 ft = 25.1

bottom part of the house: (20 ft - 15 ft = 5 ft) 15 ft + 5 ft + 4. 5 ft + 4.5 ft = 29

30ft + 25.1ft + 29ft = 84.1

84.1 ft x $3.50 = 294.35

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Mariam’s uncle donate 120 cans of juice and 90 packs of cheese cracker for the school picnic. Each student must receive the same
monitta

Answer:

8 students,

15 cans of juice and 11 packs of cheese cracker

Step-by-step explanation:

Mariam’s uncle donate 120 cans of juice and 90 - 2 = 88 packs of cheese cracker (eats two packs) for the school picnic.

Factor these numbers:

120=2\cdot 60=2\cdot 2\cdot 30=2\cdot 2\cdot 2\cdot15=2\cdot 2\cdot 2\cdot 3\cdot 5\\ \\88=2\cdot 44=2\cdot 2\cdot 22=2\cdot 2\cdot 2\cdot 11

The greatest common factor is

2\cdot 2\cdot 2=8,

so the greatest number of students who can share the food equally is 8 and each student will get 3\cdot 5=15 cans of juice and 11 packs of cheese cracker.

4 0
3 years ago
The state of Colorado is in the shape of a rectangle whose length is 380 miles and whose length is 380 miles and whose width is
KiRa [710]
Area of a rectangle is Length times width
So basically 380 * 280 should be the answer
The answer should be 106400
8 0
3 years ago
Read 2 more answers
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

5 0
3 years ago
What is the length of QR rounded to the nearest whole number?
Furkat [3]
The answer to this question is D. 14
5 0
3 years ago
Read 2 more answers
In the diagram below of circle , diameter AB is parallel to chord CD. A. 110° B. 70° D C. 55° h D. 35° A B If mCD = 70, what is
UkoKoshka [18]

Answer:

55

Step-by-step explanation:

here's the working out i did

5 0
2 years ago
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