What is 3(x +3) -10 • 5

A rectangle has a perimeter of 30 feet and an area of 50 square feet. What are the dimensions of the rectangle.

KiRa [710]

I believe the shorter sides are 5 feet and the longer ones are 10. This is because when you add up the two shorter sides as 10, and the other two as 20, then add them up to 30. That's the perimeter. For the area, you would do 10•5 to get 50 for the area

3 0

3 years ago

Read 2 more answers

Unit 6 homework 2 need help

kodGreya [7K]

∆PQR and ∆SQT are similar, so corresponding sides occur in fixed ratios with one another. This means

SQ / PQ = ST / PR

Solve for x :

8 / ((x + 5) + 8) = (x - 9) / 21

8 / (x + 13) = (x - 9) / 21

168 = (x - 9) (x + 13)

168 = x² + 4x - 117

x² + 4x - 285 = 0

(x + 19) (x - 15) = 0

⇒ x = -19 or x = 15

But x can't be smaller than 9, otherwise ST = x - 9 would be a negative length. So x = 15.

8 0

2 years ago

Priscilla has 4.3*10^8 strands of hair on her head. Diego has 8.7*10^5 strands of hair on his head. How many more strands of hai

MrMuchimi

<h3>Answer: 4.2913 * 10^8</h3>

====================================================

Work Shown:

4.3*10^8 = 4.3 * 10^(3+5)

4.3*10^8 = 4.3 * 10^3*10^5

4.3*10^8 = 4.3*1000*10^5

4.3*10^8 = 4300*10^5

Priscilla has 4300*10^5 strands of hair while Diego has 8.7 * 10^5 strands. Subtract the values out front: 4300-8.7 = 4291.3

Then tack on the "*10^5" portion to get 4291.3*10^5

The difference in the number of strands is 4291.3*10^5

Convert this to scientific notation to get the final answer.

4291.3*10^5 = (4291.3)*10^5

4291.3*10^5 = (4.2913 * 1000)*10^5

4291.3*10^5 = 4.2913 * 1000*10^5

4291.3*10^5 = 4.2913 * 10^3*10^5

4291.3*10^5 = 4.2913 * 10^(3+5)

4291.3*10^5 = 4.2913 * 10^8

Note: The number 4.2913 * 10^8 expands out to 429,130,000 which is a little over 429 million.

6 0

3 years ago

What is the range of this absolute value function? a. -[infinity] < y ≤ 0 b. 0 ≤ y < [infinity] c. -[infinity] < y ≤ 7

tigry1 [53]

If the equation of the absolute value function is f(x) = |x + 1| + 7, then the range of the function is -∞ < y ≤ 7

<h3>How to determine the range of the absolute value function?</h3>

<em>The question is incomplete, so I will provide a general explanation</em>

Assume that the absolute value function is given as:

f(x) = |x + 1| + 7

Set the absolute value to 0

f(x) ≥ 0 + 7

Evaluate

f(x) ≥ 7

This means that the smallest value of the function is 7

Hence, the range of the absolute value function is -∞ < y ≤ 7

Read more about range at:

brainly.com/question/10197594

#SPJ4

7 0

2 years ago

-PLEASE ANSWER- An experiment was repeated a number of times and the following measurements were obtained:

gladu [14]

Answer:

Step-by-step explanation:

From the given data, it can be observed that there are two number that are abnormal and extremely different from others, 322 and 19. Eliminating these two numbers would reduce the error that can be generated.

Then to obtain the best single result from the measurements, find the mean of the other numbers.

i.e 52.3, 52.5, 52.2, 52.6

Mean = $\frac{52.3 + 52.5 + 52.2 + 52.6}{4}$

= $\frac{209.6}{4}$

= 52.4

Thus the best single result that can be obtained is 52.4.

3 0

3 years ago