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3 years ago

A cylinder has a volume of 540 cm cubed. if the height of the cylidner is 15 cm, find the radius.

1 answer:

6 0

You should always remember that a cylinder consists of circles that are all over each other to form the height of the cylinder.
So the volume of the cylinder= the area of the surface circle* the height.
$V=540=\pi r^2*h= \pi r^2*15$
Then,
$r^2= \frac{540}{15 \pi }$
So, $r= \sqrt{\frac{540}{15 \pi }}$
radius is approximately 3.4cm
*If you cannot see the equations properly please wait till it downloads or refresh the page*
Hope this helps.

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A triangle has sides with lengths of 11 miles, 15 miles, and 17 miles. Is it a right triangle?

dybincka [34]

Answer:

Below.

Step-by-step explanation:

If its a right triangle it will obey the Pythagoras theorem.

17^2 = 289

11^2 + 15^2 = 121 + 225 = 346

- so NOT a right triangle.

3 0

3 years ago

What is the y-intercept of the graph of the function f(x) = x^2 + 3x + 5?

Semenov [28]

Answer:

(0,5)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

y=x^2 + 3x + 5

y=(0)^2 + 3(0) +5

y=0+0+5

y=5

Since there is no x coordinate for a y-intercept, the answer is (0,5)

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3 years ago

How many triangular faces does a rectangular pyramid have?

Advocard [28]

A rectangular pyramid has a rectangular base and 4 triangular faces.

5 0

3 years ago

Determine if events A and B are mutually exclusive.

gladu [14]

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

$P(A) = \frac{1}{4}$

$P(B) = \frac{3}{5}$

$P(A\ or\ B) = \frac{7}{10}$

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

$P(A\ or\ B) = P(A) + P(B)$

So, we have:

$P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}$

Take LCM

$P(A\ or\ B) = \frac{5+12}{20}$

$P(A\ or\ B) = \frac{17}{20}$

By comparing:

$P(A\ or\ B) = \frac{17}{20}$ ---- Calculated

$P(A\ or\ B) = \frac{7}{10}$ ---- Given

We can conclude that A and B are not mutually exclusive because:

$\frac{17}{20} \ne \frac{7}{10}$

6 0

3 years ago

The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a differe

monitta

Options:

a. Nikki's proposed placement will light a greater area than Dylan's placement.

b. Dylan's proposed placement will light a greater area than Nikki's placement.

c. Both proposed placements will light the same sized area.

d. Nikki's proposed placement will light more than half the yard.

e. Dylan's proposed placement will light more than half the yard.

f. Dylan's proposed placement will light exactly half of the yard.

g. Nikki's proposed placement will light less than half of the yard.

Answer:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

Step-by-step explanation:

The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft

Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.

3 0

3 years ago