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3 years ago

5

Jane noticed as she was doing her morning run that a 12 m flagpole cast a 18 m shadow. A tree was casting a 36 m shadow. The tre

e was __? ___ m tall.

1 answer:

Vika [28.1K]3 years ago

7 0

The tree was 30 meters long

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A distribution x is known to have a mean value of 5 and a standard deviation of 5. what is its mean square value (i.e., the expe

telo118 [61]

$\mathbb V(X)=\mathbb E(X^2)-\mathbb E(X)^2$
$\implies 5^2=\mathbb E(X^2)-5^2$
$\implies\mathbb E(X^2)=50$

8 0

2 years ago

CD contains the points C at 4, D at 0, and E at 2.

horsena [70]

Answer:

the length of CD is 4

the length of DE is 2

the ratio of CD to DE is 2:1

Step-by-step explanation:

8 0

2 years ago

Amy is making a puppet that requires equal pieces of string to make it dance. Amy has 33 inches of string. How many 5 1 2 inch p

stepan [7]

33 / (5 1/2) =
33 / (11/2) =
33 * 2/11 =
66/11 =
6 pieces <===

7 0

3 years ago

Read 2 more answers

Manuel is building a circular pool with an area of 100 square feet he will build rectangular deck around the pool as shown

kirill [66]

Answer:

26 feet

Step-by-step explanation:

w: width

w+4 : length

w(w+4) = 572

w² + 4w - 572 = 0

w² + 26w - 22w - 572 = 0

w(w+26) - 22(w+26) = 0

(w-22)(w+26) = 0

w = 22, -26

width = 22 feet

length = w+4 = 22+4 = 26 feet

7 0

3 years ago

Read 2 more answers

Can someone please help me with this question

Agata [3.3K]

The volume of the styrofoam collar is approximately 1,960.35 $in^{3} .$

Step-by-step explanation:

Step 1:

The given styrofoam collar is a hollow cylinder. A hollow cylinder consists of an outer radius and an inner radius.

This given hollow cylinder has an outer radius of 8 inches and an inner radius of 5 inches. The height of the cylinder is 16 inches.

To calculate the volume of a hollow cylinder we subtract the volume of a cylinder constructed with the inner radius from the volume of a cylinder with the outer radius.

Step 2:

The volume of a cylinder, $V = \pi r^{2} h.$

For the outer cylinder, $r = 8$ inches and $h=16$ inches.

The volume of the outer cylinder, $V_{1} = \pi (8^{2})(16) = 3,216.99.$

For the inner cylinder, $r = 5$ inches and $h=16$ inches.

The volume of the inner cylinder, $V_{2} = \pi (5^{2})(16) = 1,256.637.$

Step 3:

The volume of the styrofoam collar $= V_{1} -V_{2},$

The volume of the styrofoam collar $= 3,216.99-1,256.637 = 1,960.353.$

Rounding this off, we get the volume of the styrofoam collar as 1,960.35 $in^{3} .$

4 0

3 years ago