Each problem is worth 10 points each. (For each problem show your work and give a brief explanation of how you solved your problem.)

There are 5^12 blades of grass in each acre of land, and a section of land has 5^7 acres of land. How many blades of grass does the land have? Leave your answer in the for a^b and simplified form.

A swimming center builds a new pool that has the dimensions 3a^6 by a^2 by b^4. What is the volume of the pool?

Answer:

C

Step-by-step explanation:

Answer:

214.08 cm²

Step-by-step explanation:

To find the whole area of an irregular polygon, you must first break it into polygons that are findable. For this figure, we can break it up into two figures, a triangles and a rectangle. To find the triangle, we must first find the height of it. To get that, we take the length of the blue line (the height of the entire figure), and subtract the height of the rectangle (9.6 cm) to  get a height of 5.7 cm for the triangle. the area formula for a triangle is 1/2 of the base multiplied by the height. To get the base of the triangle, we add the base of the rectangle to the parts of the triangle that hang past it (6.2 cm in total). 6.2 + 12.8 gives us 19 cm. Now we have (19 x 9.6) divided by 2 to give us 91.2 cm². The area formula for a quadrilateral is just the base (12.8 cm) multiplied by the height (9.6 cm), to give us 122.88 cm². Add the area of the rectangle to the area of the triangle to get our answer, 214 cm².

*So sorry for the first answer, my bad.

Answer:

1. Vertical

2. Adjacent

Step-by-step explanation:

Answer:

(x)   (y)

6   -6

-10   -22

The rule is to subtract 12 from x or to add 12 from y. x - y = 12 or y + 12 = x.

Step-by-step explanation:

32 - 20 = 12

14 - 2 = 12

-6 + 12 = 6

The input is 6 for the output that is -6.

-2 - 12 = -14

-10 - 12 = -22

The output is -22 for the input that is -10.

Answer:

Hello the answer is 35 + 82 = da x

Step-by-step explanation:

I mean i gave it all away-

Answer:

C.7 weeks

Step-by-step explanation:

Subtract 60 on both sides then you get: 30w=210, then divide both sides and you get w=7, so it'll take 7 weeks

Answer:

C. 7 weeks

Step-by-step explanation:

30w + 60 = 270

        - 60    -60

subtract 60 from both sides of the equal sign.

30w = 210

We need to isolate the variable, which is (w), so divide both sides by 30.

w = 7

It will take 7 weeks for Uma to save enough money to buy the video game system. So the answer is (c).

Answer:

Step-by-step explanation:

The above list is for the figures numbered 1-3 (left to right) on the top row, and 4-5 (left to right) on the bottom row.

__

"Alternate" angles are on opposite sides of the transversal. If the angles are between the parallel lines, they are "interior" (fig 4). If they are outside the parallel lines, they are "exterior" (fig 1).

"Corresponding" angles are found in the same direction from the point of intersection. Upper-left corresponding angles are seen in fig. 3; lower-right corresponding angles are seen in fig. 5.

The angles marked in figure 2 are "consecutive exterior" angles, also called "same-side exterior" angles. The applicable descriptive choice in this problem is "none of these".

Answer:

I DON'T KNOW  the answer but hears the explanation.

Step-by-step explanation: So the total area of the composite shape is 30 + 20 = 50 cm². Note: An alternative method is to use the formula for the area of a trapezoid. Example 2 A circular shaped garden of radius 15m contains a square concrete region of side length 4m.

The area of the composite figure is,

⇒ 22 m²

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The Composite figure is made up of a Triangle, and a trapezoid.

Now,

Area of triangle is;

⇒ A = 1/2 × 3 × 4

⇒ A = 6 m²

And, Area of trapezoid is,

⇒ A = (a + b) × h/2

⇒ A = (10 + 6) × 2/2

⇒ A = 16 m²

Thus, The area of the composite figure is,

⇒ 6 + 16

⇒ 22 m²

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

Answer:

22 1/2

Step-by-step explanation:

22 1/2

srry if its wrong <3

Answer:

W

Step-by-step explanation:

quadrant 4 is the bottom right one

W: 4;5

V: 4;2

Y: -1;2

X: -5;-1

Answer:

300 [tex]in^{2}[/tex]

Step-by-step explanation:

First, calculate the area of the rectangle. The height and width are 10 and 20, so the area is 200 [tex]in^{2}[/tex].

For the triangle, we know the base length is 10 inches. But for the height, you add the 10 inches that happens to be part of the rectangle and another 10 inches, which is shown to the left of the top of the triangle, making the height 20 inches. Following the formula for the area of a triangle, [tex]\frac{bh}{2}[/tex], you would get 100 [tex]in^{2}[/tex].

To get the total area of the whole figure, add 200 and 100, which will give you 300 [tex]in^{2}[/tex]

also math makes me sad sometimes too so that's very relatable

Answer: 38

Step-by-step explanation:

Answer:

D. CBA

Step-by-step explanation:

If b was the third point, then it would be C. ACB.

AB+BC=ABC or CBA

Answer:

i dont see a x-

Step-by-step explanation:

Answer:

x=6.5

Step-by-step explanation:

distribute

60+10x=125

-60 from both sides

10x= 65

÷10 on both sides

x= 6.5

Using the Pythagorean Theorem, it is found that the length of the dotted line in the diagram below is of 8.6 units.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem:

Hence, the value of x is found as follows.

[tex]x^2 = 3^2 + 4^2[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \sqrt{25}[/tex]

[tex]x = 5[/tex]

Then, the length l of the dotted line is found as follows.

[tex]l^2 = 5^2 + 7^2[/tex]

[tex]l = \sqrt{74}[/tex]

[tex]l = 8.6[/tex]

The length of the dotted line in the diagram below is of 8.6 units.

To learn more about the Pythagorean Theorem, you can take a look at https://brainly.com/question/654982

Answer:

3(-8 + 3w)

Step-by-step explanation:

The greatest common factor (GCF) of 24 and 9 is 3. By taking out a 3 from the quantity, you get a -8 from the -24 and a 3w from the 9w. But the 3 doesn't disappear. It is put outside of the quantity to indicate that it has been taken out and can be put back in.

-24+9w

9w-24

= 3(3w-8)

Answer:

3+.50d=

Step-by-step explanation:

3 represents $3.00

.50 represents $0.50 for each mile

d represents the total cost

Answer:

I think its $5,700

Step-by-step explanation:

I think its $5,700 because you multiply 3000 by .9 because 9% equals to 0.9. And you would get 2,700 and you add it to 3,000 and you'd get 5,700

Answer:

D.

Step-by-step explanation:

she will pay back the amount the bank loaned her. since its simple interest the nine will just be multiplied by the four years and you would do .36x3000 and you would add 1080 to 3000.

Answer:

14:4

Step-by-step explanation:

First u would find how much black are left then u would put it in a ratio black to red which is what I put up there

Answer:

1. x+14

2. x-2/5

3. (x+y)e

4. x-2/3

Answer:

For number 3 the answer is -4

Answer:

2 44

3 -4

4 6

5 -56

Step-by-step explanation:

here is all of them

Answer:

Step-by-step explanation:

c, rhombus because it has different angles some times may be right angle.

Answer:

C it's a rhombus

Step-by-step explanation:

bekause have opposite parallel