Figure ABCDE is similar to figure FGHIJ. What is the length of segment FG?

Find the area and the circumference of a circle with diameter 8 cm. Use the value 3.14 for π , and do not round your answers. Be

Illusion [34]

Answer:

Area= 50.24 squared cm.

Circumference= 25.12 cm.

Step-by-step explanation:

To find the area of a circle- A= 3.14*(4 cm squared). ( The 4 cm is your radius. Half of the diameter.) After you square your radius you get 16cm squared. You then go onto multiply the 16 cm squared by 3.14 to get 50.24 cm squared.

To find the circumference of a circle- C= 2*(3.14)*(4cm). (Again the 4cm is your radius. Half of the diameter.) After you multiply the 2 and 3.14 you get 6.28. You then multiply the 6.28 by 4 cm to get 25.12 cm.

7 0

3 years ago

Find the area of the figure below

Serhud [2]

Easy

the easiest way is to imagine that you have a rectangle with a corner cut off
the area of the figure=area of rectangle-area cut off

area that was cut off was a triangle

area of rectangle=length times width
area of triangle=1/2base times height

so we draw imaginary lines like in attachment
find area of rectangle
legnth=9 inch
width=9 inch
area=9 times 9=81 in^2

triangle
the top part is ?+5=9, so the base of triangle=4
the side is ?+4=9, so the base is 5
area=1/2 times 4 times 5=10 in^2

area=rectangle-triangle
area=81-10=71 in^2

7 0

3 years ago

Read 2 more answers

Can please help!

sukhopar [10]

Answer:
equation is: width = area / length
width = 62.5 yd

Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²

For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd

Hope this helps :)

5 0

3 years ago

A television costs $270.25 including 15% tax. How much of cost is the tax

My name is Ann [436]

Answer:

229.7125

Step-by-step explanation:

4 0

3 years ago

Consider the question of whether the home team wins more than half of its games in the National Basketball Association. Suppose

spayn [35]

Answer:

0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$