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3 years ago

The ratio of boys to girls in the ninth grade is 6:5. If there are 185 girls in the class, how many boys are there.

2 answers:

4 0

There are 222 boys in the class. You find this by dividing 185 by 5 which gets you 37, so you have to multiply the 6 by 37 to find the amount of boys.

anygoal [31]3 years ago

3 0

There is 222 boys and 185 girls

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What is the amplitude of y = 2 cos(7x + 5) + 1?

dedylja [7]

Answer:

the amplitude would be 2

Step-by-step explanation:

as much as I would like to, I'm not really the best at explaining things

8 0

4 years ago

please help. answer is 62.1m(squared) and the objects are composite! please show the work, no matter what i do i cant seem to ge

yuradex [85]

Answer:

$SA=62.1\ m^2$

Step-by-step explanation:

step 1

Find the surface area of the smaller rectangular prism

$SA=2B+Ph$

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

$SA=2[(2.5)(1.5)]+2(2.5+1.5)(1.5)$

$SA=7.5+12=19.5\ m^2$

step 2

Find the surface area of the cube

$SA=6s^2$

where

s is the length side of the cube

$SA=6(2.5^2)=37.5\ m^2$

step 3

Find the lateral area of the cylinder

$LA=\pi DL$

where

D is the diameter of the base

L is the length of cylinder

$LA=(3.14)(0.5)(3.5)=5.495\ m^2$

step 4

Find the area of the base of cylinder

$A=\pi r^{2}$

we have

$r=0.5/2=0.25\ m$ ----> the radius is half the diameter

$A=(3.14)(0.25)^{2}=0.19625\ m^2$

step 5

Find the surface are of the composite figure

we know that

The surface area of the composite figure is equal to the surface area of the smaller rectangular prism plus the lateral area of the cylinder, plus the surface area of the cube, minus the area of the two bases of cylinder

$SA=19.5+5.495+37.5-2(0.19625)=62.1\ m^2$

5 0

3 years ago

Part 2. Which of the following descriptions represent the transformation shown in the image

Over [174]

Answer:

a. rotation; then reflection across x

Step-by-step explanation:

The transformation shown is a reflection across the y-axis.

The first part of each answer choice is a rotation 180°. That rotation is fully equivalent to reflection across both the x- and y-axes, in either order. In order to have a net effect of reflection across the y-axis, the reflection across the x-axis must be cancelled--by another reflection across the x-axis.

The reflection across y shown is equivalent to ...

rotation 180° followed by reflection across the x-axis.

7 0

3 years ago

Payton starts a lemonade stand for the summer. She thinks that she should be able to operate her business for 14 weeks. The tabl

kotykmax [81]

Answer:

Payton starts a lemonade stand for the summer. She thinks that she should be able to operate her business for 14 weeks. The table shows the

expenses and revenue after 1 week.

Item

Expenses Revenue

Cups

Lemonade

Ice

Income

$45

Based on this, how much money will Payton make during the 14 weeks?

8 0

3 years ago

A lines passes through the points (-4, 7) and (5, -8). What is the slope of the line?

Korvikt [17]

Answer:

Step-by-step explanation:

The formula to find the slope of a line is:

(y2 - y1) / (x2 - x1)

We can substitute the points (-4, 7) and (5, -8) to find the slope:

(-8 - 7) / (5 - (-4))

(-15) / (5 + 4)

(-15) / 9

This can be simplified to

- 5 / 3

which is option C

6 0

3 years ago