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kakasveta [241]
3 years ago
13

Write an equation that represents a discount of 18% on a retail price of $55. Let p represent the new price.

Mathematics
1 answer:
trapecia [35]3 years ago
6 0

\boxed{\tt{55(55-0.18)=pA}}

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(25 Points) The measure of b is ______?
Eva8 [605]

Answer:

21

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse (opposite the right angle)

20^2 +b^2 = 29^2

400 + b^2 =841

Subtract 400 from each side

400-400 +b^2 = 841-400

b^2 = 441

Take the square root of each side

sqrt(b^2) = sqrt(441)

b = 21

6 0
3 years ago
Read 2 more answers
The height of a cylinder is 10 and the area of a base is 36 pi square units. What
ollegr [7]

Answer:

1130.97336 units^3

Step-by-step explanation:

The volume of a cylinder can be found using:

v=\pi r^2h

We have the area of the base, but not the radius

a=\pi r^2

We know the area is 36\pi, so we can substitute that in for a

36\pi =\pi r^2

We want to find r, so we need to isolate it

Divide both sides by pi

36=r^2

Take the square root of both sides

6=r

Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in

v=\pi r^2h

v=\pi 6^210

Solve the exponent

v=\pi 36(10)

v=\pi 360

v=1130.97336

The volume is 1130.97336 units^3

6 0
3 years ago
Which scatterplot has a correlation coefficient closest to r = 1?
qwelly [4]

Answer:

The scatter diagram that contains the correlation coefficient closest to r = 1 is the first one shown in the attached images.

Step-by-step explanation:

The correlation coefficient "r" measures how much two variables x and y are related. When the variables are highly related, the value of r is closer to one and the points contained in the scatter diagrams are assimilated more and more to a line. When the value of r is positive the relation is crescent and therefore the slope of the line drawn by the points in the diagram has a positive slope


Therefore, to answer this question, one must search among the attached images for the dispersion diagram in which the points resemble a straight line with a positive slope.


The scatter diagram that meets the requirements mentioned is the first one that appears in the attached images

6 0
3 years ago
Read 2 more answers
Find the slope of the line between the points (4,1) and (8,9)
Liono4ka [1.6K]
Use the slope formula which is; 
slope= (y2 - y1)/ (x2 - x1)
slope= (9-1)/ (8-4)
Slope= (8)/(4)
Slope= 2
6 0
3 years ago
Find the area of each shape. Show your reasoning.
Troyanec [42]

Answer:

Those areas are: A 1 = 12,  A 2 = 19

Step-by-step explanation:

The area of shape 1  : it consists of 1 square + 4 right triangles

Area of the square: A = a², area of the triangle: A = 1/2 · a · h

A 1 = 2² + 4 · 1/2 · 2 · 2 = 4 + 8 = 12

The area of shape 2 :  it consists of 2  isosceles triangles

A 2 = 1/2 · 2 · 4 + 1/2 · 6 · 5 = 4 + 15 = 19

3 0
3 years ago
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