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3 years ago

Can someone help with this question

Mathematics

1 answer:

NikAS [45]3 years ago

4 0

1st : Find the volume of the rectangular block:
12 × 10 × 20 = 2400 cm^3.

2nd : Find the volume of a cylinder
$\pi {r}^{2} h$
Where r is radius & h is height.
so:
$\pi \times 2.2 {}^{2} \times 5.0$
= 76.02654222 cm^3

Lastly, divide the volume of the rectangular block by the volume of the cylinder
2400 ÷ 76.026 = 31.5679226

You can't round it up so the answer is F) 31

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Pratap Puri rowed 14 miles down a river in 2 hours, but the return trip took him 3 and one half hours. Find the rate Pratap can

SOVA2 [1]

speed of current is 1.5 mi/hr

Answer:

let the rate in still water be x and rate of the current be y.

speed down the river is:

speed=distance/time

speed=14/2=7 mi/h

speed up the river is:

speed=(14)/(3.5)=4 mi/hr

thus total speed downstream and upstream will be:

x+y=7...i

x-y=4.......ii

adding the above equations i and ii we get:

2x=11

x=5.5 mi/hr

thus

y=5-5.5=1.5 mi/r

thus the speed in still waters is 5.5 mi/hr

speed of current is 1.5 mi/hr

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2 years ago

In Exercise 4, find the surface area of the solid formed by the net.

Fittoniya [83]

Answer:

3. 150.72 in²

4. 535.2cm²

Step-by-step Explanation:

3. The solid formed by the net given in problem 3 is the net of a cylinder.

The cylinder bases are the 2 circles, while the curved surface of the cylinder is the rectangle.

The surface area = Area of the 2 circles + area of the rectangle

Take π as 3.14

radius of circle = ½ of 4 = 2 in

Area of the 2 circles = 2(πr²) = 2*3.14*2²

Area of the 2 circles = 25.12 in²

Area of the rectangle = L*W

width is given as 10 in.

Length (L) = the circumference or perimeter of the circle = πd = 3.14*4 = 12.56 in

Area of rectangle = L*W = 12.56*10 = 125.6 in²

Surface area of net = Area of the 2 circles + area of the rectangle

= 25.12 + 125.6 = 150.72 in²

4. Surface area of the net (S.A) = 2(area of triangle) + 3(area of rectangle)

= $2(0.5*b*h) + 3(l*w)$

Where,

b = 8 cm

h = $\sqrt{8^2 - 4^2} = \sqrt{48} = 6.9 cm} (Pythagorean theorem)w = 8 cm[tex]S.A = 2(0.5*8*6.9) + 3(20*8)$

$S.A = 2(27.6) + 3(160)$

$S.A = 55.2 + 480$

$S.A = 535.2 cm^2$

6 0

3 years ago

Can someone help me with credit recovery

Sindrei [870]

Answer:

Credit recovery is a term used to describe a wide variety of educational strategies and programs that give high school students who have failed a class the opportunity to redo coursework or retake a course through alternate means—and thereby avoid failure and earn academic credit.

Step-by-step explanation:

I'm not sure if this help but if it does good luck with it.

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3 years ago

Ulio has started his very own floral business. He sells centerpieces for $19.50 each. His fixed costs are $500 per month, and ea

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He would need to at least 44 to sell before breaking even.

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3 years ago

What is the sum of 56+64 writen as the product of its gcf and another sum

jenyasd209 [6]

Look for the sum of 56 and 64, written as the product of its GCF and another sum.
First, let’s find the greatest common factor of both given numbers:
=> 56 = 1, 2, 4, 7, 8, 13, 28 and 56
=> 64 = 1, 2, 4, 8, 16, 32, and 64
Now, we need to find the greatest common factor between the two numbers. The GCF of the 2 numbers is 8.
=> 56 / 8 = 7
=> 64 / 8 = 8
=> 56 + 64 = 120
=> (8 x 7) + (8 x 8)
=> 56 + 64
=> 120.

3 0

3 years ago