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2 years ago

Write an equation to help you find the value of each variable. Solve the equation.

Mathematics

1 answer:

Travka [436]2 years ago

5 0

Answer:

C = 72

E = 500

Step-by-step explanation:

Is means equals and of means multiply

a) 60% of C is 43.2

.60 *c = 43.2

Divide each side by .60

c = 43.2 / .6

C =72

b) 38% of E is 190

.38 *E = 190

Divide each side by .38

E = 190/.38

E =500

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Rectangle ABCD has vertices at A(-1,1), B(2,1), C(2,-5), and D(-1,-5). What is the perimeter of rectangle

Drupady [299]

Answer:

The perimeter of the rectangle is 18 units.

Step-by-step explanation:

The image included below presents the location of the points on the Cartesian plane. From Geometry we get that the perimeter ( $p$ ), dimensionless, of the rectangle is the sum of its four sides. That is to say:

$p = AB+BC+CD+DA$ (1)

Where $AB$ , $BC$ , $CD$ and $DA$ are the sides of the rectangle, dimensionless.

Each side value is found by means of the Pythagorean Theorem:

$AB = \sqrt{[2-(-1)]^{2}+(1-1)^{2}}$

$AB = 3$

$BC = \sqrt{(2-2)^{2}+[(-5)-1]^{2}}$

$BC = 6$

$CD = \sqrt{(-1-2)^{2}+(5-5)^{2}}$

$CD = 3$

$DA = \sqrt{(-1-1)^{2}+[1-(-5)]^{2}}$

$DA = 6$

And the perimeter of the rectangle is:

$p = 3+6+3+6$

$p = 18$

The perimeter of the rectangle is 18 units.

8 0

2 years ago

Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. Th

Alisiya [41]

Answer:

s ≈ 105

Step-by-step explanation:

Given:

The data set: 700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750

To find:

The standard deviation of the data

Steps:

To find the standard deviation, first write the computational formula for the standard deviation of the sample.

${s}= \sqrt{\frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n - 1}}$

Take the square root of the answer found in step 7 above. This number is the standard deviation of the sample. It is symbolized by $s$ . Here, we round the standard deviation to the nearest whole number.