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Agata [3.3K]
1 year ago
13

The diagram shows a pyramid whose base is a regular pentagon of area 42 cm2 and whose height is 7 cm.

Mathematics
1 answer:
AnnZ [28]1 year ago
8 0
We know, Volume = Area of base pentagon * h/2
V = 42 * 7/2
V = 21 * 7
V = 147 cm³

In short, Your Answer would be 147 cm³  [ Option D ]

Hope this helps!
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Identify the property used in each step of solving the inequality 3x – 2 > –4.
Marizza181 [45]

Answer:addition and multiplication

Step-by-step explanation:

I just did it

7 0
2 years ago
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Find the 88th term of the arithmetic sequence 26, 28, 30,...
ICE Princess25 [194]

Answer:

200

Step-by-step explanation:

Given Arithmetic sequence is: 26, 28, 30,...

First term a = 26

Common Difference d = 2

n = 88

\because t_n=a +(n-1) d \\  \therefore \: t_{88}=26 +(88-1)  \times 2 \\ \therefore \: t_{88}=26 +87  \times 2 \\ \therefore \: t_{88}=26 +174 \\ \huge \red{ \boxed{ \therefore \: t_{88}=200}} \\

4 0
2 years ago
In triangle XYZ, XY = 13, YZ=20, and XZ=25. What is the measure of angle Z to the nearest degree?
anastassius [24]
We can use Law of Cosines to solve for the angle of Z. The solution is shown below:
cos C=(a²+b²-c²)/2ab
cos Z = (yz² + xz² - xy² )/2*yz*xz
cos Z = (20² + 25  - 13²)/2*20*25
cos Z = 856 / 1000
Z=31.13°

The answer is angle 31.13°. 
4 0
2 years ago
According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with a mean of 23.3 ce
Yakvenalex [24]

Answer:

26.11% of women in the United States will wear a size 6 or​ smaller

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 23.3, \sigma = 1.4

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or​ smaller?

This is the pvalue of Z when X = 22.4. So

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

Z = \frac{22.4 - 23.3}{1.4}

Z = -0.64

Z = -0.64 has a pvalue of 0.2611

26.11% of women in the United States will wear a size 6 or​ smaller

8 0
2 years ago
According to New Jersey Transit, the 8:00 a.M. Weekday train from Princeton to New York City has a 90% chance of arriving on tim
ser-zykov [4K]
Digit numbers.

Let the numbers 00 to 89 represent that the train is on time.

Let the numbers between 90 and 99 represent that the train is late.

Randomly select 6 numbers, with repetition allowed.

Count the number of times the train is late.

Repeat this simulation multiple times.

You will most likely obtain a result of between 0 and 2 times that the train is late.
6 0
1 year ago
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