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3 years ago

PLEASE HELP!!!!

Mathematics

2 answers:

yan [13]3 years ago

7 0

C. The area is increased by an area of 25

8x7=56
40x35=1400

1400/56=25

pshichka [43]3 years ago

5 0

Consider what the area is when a rectangle has a width of 8m and a length of 7m. The area is 8m x 7m, or 56m^2.

Now, multiple the length and width by 5 each, to produce a triangle with the dimensions of 40m and 35m. Multiply the two values together to get 1400m^2.

1400 / 56 = 25, so the area is increased by a factor of 25.

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A researcher gathered data on hours of video games played by school-aged children and young adults. She collected the following

antiseptic1488 [7]

Step-by-step explanation:

The complete frequency distribution table for the data has been attached to this response.

The frequency column contains values that are the number of times the given range of hours appear in the data. For example, numbers in the range 0 - 2 hours, appear 9 times in the data. Also, the numbers in the range 3 - 5 appear 6 times. The same logic applies to other ranges.

The relative frequency column contains the ratio of the number of times the given range of hours appear in the data, to the total number of outcomes. The total number of outcomes is the sum of all the frequencies on the frequency column. This gives 38 as shown.

So, for example, to get the relative for the numbers in the range 0-2, divide their frequency (9) by the total outcome or frequency (38). i.e

9 / 38 = 0.24

Also, to get the relative for the numbers in the range 3-5, divide their frequency (6) by the total outcome or frequency (38). i.e

6 / 38 = 0.16

Do the same for the other ranges.

5 0

3 years ago

There are 13 salespeople at a car dealership. last year, they each sold the same number of cars. Together, they sold 1,157 cars.

klemol [59]

Answer:

Each salesperson sold 89 cars last year.

Step-by-step explanation:

13x = 1157 Set up an equation with an x-varible in place of the number of cars to be found

13x/13 = 1157/13 Divide 1157 by 13

x = 89

3 0

3 years ago

A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multi

Ierofanga [76]

Answer: A. Factor 2 => 4x greater

Factor 3 => 9x greater

Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

$A_{1}$ = 2πrh

If multiply both dimensions by a factor of 2:

$A_{2}$ = 2.π.2r.2h

$A_{2}$ = 8πrh

Comparing $A_{1}$ to $A_{2}$ :

$\frac{A_{2}}{A_{1}}$ = $\frac{8.\pi.rh}{2.\pi.rh}$ = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

By factor 3:

$A_{3} = 2.\pi.3r.3h$

$A_{3} = 18.\pi.r.h$

Comparing areas:

$\frac{A_{3}}{A_{1}}$ = $\frac{18.\pi.r.h}{2.\pi.r.h}$ = 9

Multiplying by 3, gives an area 9 times bigger.

By factor 5:

$A_{5} = 2.\pi.5r.5h$

$A_{5} = 50.\pi.r.h$

Comparing:

$\frac{A_{5}}{A_{1}}$ = $\frac{50.\pi.r.h}{2.\pi.r.h}$ = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

3 0

3 years ago

Use a calculator to find the

Tamiku [17]

Use the calculator to find the Product

8 0

3 years ago

What is the slope of 6x+10y=8 (choice A) A -3/4 B -5/4 C -3/5 D -4/5

kvv77 [185]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is