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sweet-ann [11.9K]

2 years ago

13

Kendra's dog has and outside pen enclosed by a fence.the area of the pen is 135 square feet of the pen is 15 feet long how wide

is it?

1 answer:

sveta [45]2 years ago

8 0

Kendra's dog has and outside pen enclosed by a fence.the area of the pen is 135 square feet of the pen is 15 feet long how wide is it?

Answer: 9 feet

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A jumbo crayon is composed of a cylinder with a conical tip. The cylinder is 12 cm tall with a radius of 1.5 cm, and the cone ha

s2008m [1.1K]

Answer:

Part 1) The lateral area of the cone is $LA=2\pi\ cm^{2}$

Part 2) The lateral surface area of the cylinder is $LA=36\pi\ cm^{2}$

Part 3) The surface area of the crayon is $SA=41.50\pi\ cm^{2}$

Step-by-step explanation:

Part 1) Find the lateral area of the cone

The lateral area of the cone is equal to

$LA=\pi rl$

we have

$r=1\ cm$

$l=2\ cm$

substitute

$LA=\pi (1)(2)$

$LA=2\pi\ cm^{2}$

Part 2) Find the lateral surface area of the cylinder

The lateral area of the cylinder is equal to

$LA=2\pi rh$

we have

$r=1.5\ cm$

$h=12\ cm$

substitute

$LA=2\pi (1.5)(12)$

$LA=36\pi\ cm^{2}$

Part 3) Find the surface area of the crayon

The surface area of the crayon is equal to the lateral area of the cone, plus the lateral area of the cylinder, plus the top area of the cylinder plus the bottom base of the crayon

<em>Find the area of the bottom base of the crayon</em>

$A=\pi[r2^{2}-r1^{2}]$

where

r2 is the radius of the cylinder

r1 is the radius of the cone

substitute

$A=\pi[1.5^{2}-1^{2}]$

$A=1.25\pi\ cm^{2}$

<em>Find the area of the top base of the cylinder</em>

$A=\pi(1.5)^{2}=2.25\pi\ cm^{2}$

<em>Find the surface area</em>

$SA=2\pi+36\pi+2.25\pi+1.25\pi=41.50\pi\ cm^{2}$

8 0

3 years ago

Read 2 more answers

A room is 15 feet tall. An architect wants to include a window that is 6 feet tall. The distance between the floor and the botto

Ivenika [448]

Answer:

the independent variable in this equation is a because its the answer and cannot be changed

4 0

2 years ago

Khan sucks 3 for 30 points<br> again

tester [92]

Answer:

D, John did not make a mistake!

Step-by-step explanation:

7 0

2 years ago

Carol has a 24 cm x 36 cm photo that she scales down to 3/4 of its original demintion. what is the new demention?

just olya [345]

1245789633
okay thats the answer

8 0

2 years ago

According to a report, 11 people got colds for every 2000 people.

lianna [129]

Answer:

Probability that one or more people in Arbalest got a cold is 0.9987.

Step-by-step explanation:

We are given that according to a report, 11 people got colds for every 2000 people.

There are 1200 people in the town of Arbalest.

The above situation can be represented through binomial distribution;

$P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......$

where, n = number of trials (samples) taken = 1200 people

r = number of success = one or more people got a cold

p = probability of success which in our question is probability

that people got colds, i.e; p = $\frac{11}{2000}$ = 0.55%

Let X = <u><em>Number of people in Arbalest who got a cold</em></u>

So, X ~ Binom(n = 1200 , p = 0.0055)

Now, Probability that one or more people in Arbalest got a cold is given by = P(X $\geq$ 1)

P(X $\geq$ 1) = 1 - P(X = 0)

= $1- \binom{1200}{0} \times 0.0055^{0} \times (1-0.0055)^{1200-0}$

= $1- (1 \times 1 \times 0.9945^{1200})$

= 0.9987 or 99.87%

Hence, the required probability is 99.87%.

8 0

3 years ago