Solve the inequality

A. The total area of the figure below is (blank) units B. The perimeter of the figure below is (blank) units (look at the pictur

lbvjy [14]

Answer:

p ≈ 17.6

a = 10.5

Step-by-step explanation:

AC = 3

BC = 7

use pythagorean theorem to find AB

AB² = 3² + 7²

AB² = 58

AB = 7.615773105863908

AB ≈ 7.6

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Perimeter

p ≈ 3 + 7 + 7.6

p ≈ 17.6

Area

a = (1/2)bh

a = (1/2)3 * 7

a = 10.5

3 0

3 years ago

Is y = 7x +2 and x + 7y = 8 perpendicular, parallel, or neither ?

Vika [28.1K]

Answer:

The lines are perpendicular.

Step-by-step explanation:

I graphed both of the equation on the graph below.

5 0

4 years ago

Read 2 more answers

State the Pythagorean theorem using the triangle shown below

AlekseyPX

Answer: p^2 + q^2 = r^2

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2

P = a (leg)

q = b (leg)

r = c (Hypotenuse)

7 0

3 years ago

Read 2 more answers

Give the equation of the circle centered at the origin and passing through the point(0,10)

beks73 [17]

Answer:

$x^{2} + y^{2} = 100$

Step-by-step explanation:

The equation of a circle has the following format:

$(x - x_{0})^{2} + (y - y_{0})^{2} = r^{2}$

In which r is the radius(half the diameter) and the centre is the point $(x_{0}, y_{0})$

Centered at the origin

This means that $x_{0} = 0, y_{0} = 0$

Passing through the point(0,10)

The radius is the distance of any point in which the circle passes to the centre.

Using the formula for the distance between two points.

$r = D = \sqrt{(0 - 0)^{2} + (10 - 0)^{2}} = 10$

So

$x^{2} + y^{2} = 10^{2}$

$x^{2} + y^{2} = 100$

3 0

3 years ago

The web logs of a certain website show that the average number of hits in an hour is 75 with a standard deviation equal to 8.6.

Wittaler [7]

Answer:

a) There is a 10.75% probability of observing less than 60 hits in an hour.

b) The 99th percentile of the distribution of the number of hits is 95.21 hits.

c) There is a 24% probability of observing between 80 and 90 hits an hour

Step-by-step explanation:

Problems of normally distributed samples 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

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

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. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem, we have that

The web logs of a certain website show that the average number of hits in an hour is 75 with a standard deviation equal to 8.6, so $\mu = 75, \sigma = 8.6$ .