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3 years ago

Find the distance between the points (0, 0) and (6, -8). 4 √28 10

Mathematics

1 answer:

kvasek [131]3 years ago

6 0

Answer:

Step-by-step explanation:

The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is

d = √[(x2 - x1)² + (y2 - y1)²]

Here (x2, y2) = (6, -8) and (x1, y1) = (0, 0)

Plugging them gives us

d = √[(6 - 0)² + (-8 - 0)²]

d = √[(6)² + (-8)²]

d = √[36 + 64]

d = √100

d = 10

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A study has indicated that the sample size necessary to estimate the average electricity use by residential customers of a large

Zanzabum

Answer:

$\sigma=547.1125$

Step-by-step explanation:

-The margin of error is calculated using the formula:

$ME=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}\\\\$

-We substitute the values, n=900 and ME=30 in the formula to solve for standard deviation:

$ME=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}\\\\\\30=1.645\times\frac{\sigma}{\sqrt{900}}\\\\\sigma=\frac{30^2}{1.645}\\\\=547.1125$

Hence, the population standard deviation is 547.1125

7 0

3 years ago

Please help on number 3 part 1 and part 2 pretty please thanks

Goryan [66]

For the first part you need to find 85% of 16,000. its 13,600. you get this by multiplying .85 by 16,000.

for part two, i don't know how to show the work, but 816 is 96% of 850.

sorry about that, but i hope it helps

7 0

3 years ago

what are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotensue is 15 units long?

givi [52]

Refer to the diagram shown below.

Given:
m∠A = 19°
c = 15

By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835

cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828

Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)

6 0

3 years ago

Rewrite 5/6 with the denomintaior of 12

svp [43]

To change 5/6 to a fraction with a denominator of 12, you need to do one step. Since 12 is a multiple of 6 (meaning that it can be multiplied by 6 and another number), you multiply 5/6 by 2 to get 10/12. 10/12 is your answer.

3 0

3 years ago

Which of the following correctly completes the the square for the equation below? x^2+18x=0

Nookie1986 [14]

X² +18x = 0

To complete the square we are going to use formula a² +2ab +b² = (a+b)²

x² +2*9*x = 0
x² +2*9x+9² = 9²
(x+9)² = 9²
√(x+9)² = +/-√9²
x+9 = 9, or x+9 = -9
x=0, or x= - 18

The equation could be solved different way
x² +18x = 0
x(x+18) = 0
x=0 or x+18=0
x=0 or x=-18

4 0

4 years ago

Read 2 more answers