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3 years ago

12

Find the radius of the base of a cylinder with a volume of 1357.17 cm3 if the height of the cylinder is twice the length of the

radius.

1 answer:

MAVERICK [17]3 years ago

5 0

Answer:

6cm

I hope it will be useful.

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132 packages of clay, 6 clay sticks in each package, 3 sticks go to each student. How many students are able make projects out c

spayn [35]

Answer: 264

Step-by-step explanation: 132 x 6 = 792

792 divided by 3 = 264

Hope this helps

7 0

4 years ago

the figure is made up of a semicircle and a triangle. Find the area of the figure. Use pi equals 3.14

valentinak56 [21]

Answer:

The area of the figure is 63.25 square feet

Step-by-step explanation:

we know that

The area of the figure is equal to the area of semicircle plus the area of triangle

step 1

Find the area of semicircle

The area of semicircle is

$A_1=\frac{1}{2}\pi r^{2}$

we have

$r=10/2=5\ ft$ ----> the radius is half the diameter

$\pi =3.14$

substitute

$A_1=\frac{1}{2}(3.14)5^{2}$

$A_1=39.25\ ft^2$

step 2

Find the area of the triangle

The area of triangle is equal to

$A_2=\frac{1}{2}bh$

we have

$b=8\ ft\\h=6\ ft$

substitute

$A_2=\frac{1}{2}(8)(6)$

$A_2=24\ ft^2$

step 3

The area of the figure is equal to

$A=A_1+A_2$

substitute

$A=39.25+24=63.25\ ft^2$

5 0

4 years ago

the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the

Ulleksa [173]

with the pythagorean theorem

$\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}$

using the formula of the quadratic equation

$\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}$

the length cannot be negative, therefore x=7

length of the shorter leg is: 7ft

length of the longer leg is: 3+3(7)= 24ft

length of the hypotenuse is: 4+3(7)= 25ft

5 0

1 year ago

What is the area of the triangle?

Crazy boy [7]

Answer:

5 units²

Step-by-step explanation:

Area of the triangle = ½ × base × height

base = 2

height = 5

Plug in the values into the formula

Area = ½ × 2 × 5

Area = ½ × 10

Area = 5 units²

5 0

3 years ago

Is pi is more accurate than an answer that uses 3.14 for pi ?<br> .

Burka [1]

Answer: yes because pi = 22/7 as a fraction and as a decimal that never terminates

Step-by

6 0

3 years ago