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11Alexandr11 [23.1K]
3 years ago
9

Determine the coordinates of the vertices of the rectangle to compute the area of the rectangle using the distance formula (roun

d to the nearest integer).
A) 35 units2
B) 50 units2
C) 60 units2
D) 70 units2
Mathematics
1 answer:
diamong [38]3 years ago
7 0

Answer:

The answer is 70 units2

Step-by-step explanation:

D = dx

2 + dy

2

W = (5-10)

2 + (10-5)

2

W = (5)

2 + (5)

2 = 7.071

L = (5-12)

2 + (10-17)

2

L = (7)

2 + (7)

2 = 9.899

A = LxW = (9.899)(7.071) = 69.9958 units

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A local gym had 490 members last quarter. This quarter, with a change in its rates, it has 686 members. What is the percent of i
sergij07 [2.7K]

Given:

Number of gym members in last quarter = 490

Number of gym members in this quarter = 686

To find:

The percent of increase in the number of members.

Solution:

We have,

Number of gym members in last quarter = 490

Number of gym members in this quarter = 686

Now, the percent of increase in the number of members.

\%\text{ of increase}=\dfrac{{Members in this month - Members in last month}}{\text{Members in last month}}\times 100

\%\text{ of increase}=\dfrac{686-490}{490}\times 100

\%\text{ of increase}=\dfrac{196}{490}\times 100

\%\text{ of increase}=\dfrac{2}{5}\times 100

\%\text{ of increase}=2\times 20

\%\text{ of increase}=40

Therefore, the gym members increased by 40%.

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3 years ago
If the y-intercept is b= -9 and the slope is m= 1. What is the slope intercept form? How do I set it up?
Rina8888 [55]

Answer:

y=1x-9 That's the equation if you're trying to figure that out and the slope would be 1/1

6 0
3 years ago
Can someone please give me the answers to this? ... please ...
mariarad [96]

Answer:

d=√((x_2-x_1)²+(y_2-y_1)²)

Step-by-step explanation:

use your brain and fill in the variables

5 0
2 years ago
A group of statistics students decided to conduct a survey at their university to find the average (mean) amount of time student
Butoxors [25]

Answer: (21.541,\ 23.059)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n=240 , which is a large sample , so we apply z-test .

Sample mean : \overline{x}=22.3

Standard deviation : \sigma= 6

Significance level : \alpha=1-0.95=0.05

Critical value : z_{\alpha/2}=1.960

Now, a confidence interval at the 95% level of confidence will be :-

22.3\pm(1.960)\dfrac{6}{\sqrt{240}}\\\\\approx22.3\pm0.759\\\\=(22.3-0.759,\ 22.3+0.759)\\\\=(21.541,\ 23.059)

7 0
3 years ago
1 27 points from 35 points.
pishuonlain [190]

Answer:

127 from 35

127 - 35

92

Step-by-step explanation:

6 0
3 years ago
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