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Sergeeva-Olga [200]
4 years ago
8

On a coordinate plane, point A is located at (7, 4), and point B is located at (-8, 4). What is the distance between the two poi

nts?
Mathematics
2 answers:
seropon [69]4 years ago
6 0

Answer:

15

Step-by-step explanation:

The distance formula is:

d=\sqrt{(x_{2}-x_{1)^{2}-(y_{2}+y_{1)^{2}  }

Given the problem, you must do (-8-7) squared plus (4-4) squared. The result of that is 225, and the square root of 225 is 15.

PSYCHO15rus [73]4 years ago
4 0

Answer:

Using Pythagorean Theorem, the distance between the two points is 15 units

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A and b are two similar solids. the volume of a is 400cm^3<br> work out the volume of b
madam [21]

Answer:

1350 cm³

Step-by-step explanation:

we have given that,

• Height of A = 10 cm.

1350

• Volume of A = 400cm³.

• Height of B = 15 cm.

• Both A and B solids are similar.

from above told concept we get,

→ V(A) / V(B) = (Height of A)³ / (Height of B)³

Putting all given values we get,

→400/ V(B) = (10)³/(15)³

→400/V(B) = (1000/3375)

→ V(B) = (400*3375) / 1000

→ V(B) = (4 * 3375) / 10

→ V(B) = 1350 cm³. (Ans.)

Hence, Volume of B will be 1350 cm³.

7 0
3 years ago
the mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.5 %. assume
zhuklara [117]
Given:
Population proportion, \mu _{p} = 57% = 0.57
Population standard deviation, σ  = 3.5% = 0.035
Sample size, n = 40
Confidence level = 95%

The standard error is
SE_{p} =  \sqrt{ \frac{p(1-p)}{n} } = \sqrt{ \frac{0.57*0.43}{40} } =0.0783

The confidence interval is 
\hat{p} \pm z^{*}SE_{p}
where
\hat{p} = sample proportion
z* = 1.96 at the 95% confidence lvvel

The sample proportion lies in the interval
(0.57-1.96*0.0783, 0.57+1.96*0.0783) = (0.4165, 0.7235)

Answer: Between 0.417 and 72.4), or between (41% and 72%)

8 0
4 years ago
What is the slope of the line graphed on the coordinate plane?
tigry1 [53]

Answer:

1/4

Step-by-step explanation:

use the slope formula, (y2-y1)/(x2-x1) , or rise over run.

this would give you 2-(-1) divided by 6-(-6)

giving you 3/12, reducing to 1/4

6 0
3 years ago
Richard needed to read 5 books for his summer reading assignment. It took him 458 hours to read the first 2 books. It took him 7
katen-ka-za [31]

Answer:

1236 books

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
You drop a rock off a bridge. The rock’s height, h (in feet above the water), after t seconds is modeled by h = -16t2 + 541. Wha
Nina [5.8K]
Given the time t = 2 seconds, simply plug in it to the equation.
h = - 16(2)² + 541
= - 16(4) + 541
= - 64 + 541
h = 477 feet
8 0
4 years ago
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