A rectangular prism has a volume of 160 cubic centimeters and a height of 4 centimeters. What is the area of its base?

The coordinate points of T are (0,6). The midpoint of ST is (6,-8). Find the coordinate of point S.

givi [52]

Answer:

The coordinates of the point S = (12, -22)

Step-by-step explanation:

The coordinate points of T = (0,6)

Mid point of ST = (6,-8)

Let the coordinates of S = (a,b)

Now, BY MID POINT FORMULA:

If (x, y) and (z, w) are the line point joining line segment and (p,q) is the coordinate of mid point. Then

$(p, q) = (\frac{x + z}{2} , \frac{y + w}{2} )$

So, here similarly, $(6, -8) = (\frac{(0+a)}{2} , \frac{6+ b}{2} )$

⇒ $6 = \frac{0+a}{2} , -8 = \frac{6+ b}{2}$

⇒ a =2 x 6 = 12, b = 2 (-8) -6 = -22

⇒(a,b) = (12, -22)

Hence, the coordinates of the point S = (12, -22)

6 0

3 years ago

Josephine wrote the number 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that

nirvana33 [79]

22% since 100-78 is 22 so that is the percentage of numbers between 78 and 100

6 0

4 years ago

Write an expression that gives the area of the shaded region in the figure.

Jet001 [13]

Answer:

Area = 88 square units

Step-by-step explanation:

The length of the blue rectangle can be found by subtracting 15 and 4, which equals 11. The width of the blue rectangle can be found by subtracting 6 from 14, which equals 8.

area = length x width

area = 11 x 8

area = 88 square units

6 0

4 years ago

1. A senator is thinking about running for president. But she will only do so if more than 60% of the voters view her favorably.

OLga [1]

The senator is faced with the making a decision to run for President, based

on the conclusion she can make from the data she gathers.

The statistical method that would be best for her to use is inferential

statistic method such as finding the percentage of supporters she has to a

given confidence level.

Reason:

The two main types of statistical methods are;

Inferential statistics methods; Theses are methods used to reach a

conclusion that extends past the given or available data.

Descriptive statistics methods; Theses are statistical method used as a

summary of a data set.

Given that the senator is trying to draw conclusion based on the data she

gathers, she should use inferential statistic method.

The type inferential statistic method that can be used is the confidence

interval.

From the data collected, the proportion of voters that view her favorably is

used at a given confidence level to determine the true proportion of voters

that view her favorably.

Therefore;

The statistical method that would be best for her to use is the

finding of the confidence interval which is a inferential statistic method.

Learn more here:

brainly.com/question/15873157

7 0

3 years ago

what is the equation of a line hat is perpindicular to x=-6 abd that passes throught the point (-1,-2)

Dmitriy789 [7]

The equation is more than that numbor

3 0

4 years ago