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4 years ago

Please help What is the area of this octagon?

Mathematics

1 answer:

kolbaska11 [484]4 years ago

6 0

Answer:

See the graphic I made

Area of Section A = 4 *1 = 4 square centimeters

Section B = 4 * (3 + 4) = 28 sq cm

Section C = 3 * (2 + 3 + 4) = 27 sq cm

Total Area = 4 + 28 + 27 = 59 square centimeters

Step-by-step explanation:

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n automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally di

Paraphin [41]

Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Step-by-step explanation:

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that $\mu = 116, \sigma = 5.4$

Find the probability that one selected subcomponent is longer than 118 cm.

This is 1 subtracted by the pvalue of Z when X = 118. So

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

$Z = \frac{118 - 116}{5.4}$

$Z = 0.37$

$Z = 0.37$ has a pvalue of 0.6443

1 - 0.6443 = 0.3557

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

8 0

3 years ago

Quisha spent 1/3 hour answering 9 homework questions for her history class. she spent the same ammount on each question. what fr

Alisiya [41]

Answer:

$\frac{1}{3} \div 9$

to get the time for each question

3 0

3 years ago

Read 2 more answers

What is the solution to {y>2x+5 (over) y<-3x+5

Alecsey [184]

Look at the picture.

$\left\{\begin{array}{ccc}y > 2x+5\\y < -3x+5\end{array}\right\\\\y=2x+5\\for\ x=-2\to y=(2)(-2)+5=-4+5=1\to(-2;\ 1)\\for\ x=0\to y=(2)(0)+5=0+5=5\to(0;\ 5)\\\\y=-3x+5\\for\ x=0\to y=(-3)(0)+5=0+5=5\to(0;\ 5)\\for\ x=2\to y=(-3)(2)+5=-6+5=-1\to(2;\ -1)$

8 0

3 years ago

how many circles can be drawn passing through three non collinear points and how many circles can be drawn passing through three

MrRissso [65]

Answer:

Only one circle can be drawn through three non nonlinear points, No circle can be drawn through three nonlinear points

Step-by-step explanation:

A circle has a curve. As long as the three non nonlinear points both have the same amount of distance from the center of the circle it can be a circle drawn. No circle can be drawn through three points on the line.

7 0

3 years ago

Find the area of the right triangle. If necessary, round to the nearest tenth

Ad libitum [116K]

Answer:

B. 150 yards

Step-by-step explanation:

Area of a Triangle = .5 * Base * height

So we need the height of the triangle, or the missing side.

We have to use Pythagorean Theorem to solve this:

A^2 + B^2 = C^2

15 ^ 2 + B ^ 2 = 25 ^2

b^2 = 25^2 - 15 ^ 2

b^2 = 625 - 225

b^2 = 400

sqrt (400) = 20

The missing height is 20. Now we plug it into 1/2 * b * H

.5 * 15 * 20

7.5 * 20 = 150

150 Yds

6 0

4 years ago

Please help What is the area of this octagon?​

Please help What is the area of this octagon?