The radius of a circle is 10 m. Which choice is best represents the area of the circle?

314 square meters

78.5 square meters

1256 square meters

62.8 square meters

I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.

Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.

A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.

Answer:

[tex]15 × 10^{0}[/tex]

Step-by-step explanation:

5 × 10^-7 × 3 × 10^6

15 × 10^-1

= 1.5 × 10^0

Answer:

15 × 10^{-1} is the correct

Step-by-step explanation:

Answer:

The sides are 3 and 9

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

x^2 + (3x)^2 = (3 sqrt(10))^2

x^2 + 9x^2 = 9*10

10x^2 = 90

Divide each side by 10

x^2 = 90/10

x^2 =9

Take the square root of each side

x = sqrt(9)

x = 3

The sides are x=3  and 3x = 3(3) = 9

Answer: x=10

Step-by-step explanation:

Since the original statements were x, 3x, and 3[tex]\sqrt{x}[/tex], is already given as 10 in 3[tex]\sqrt{x}[/tex], therefore, 3x is 3*10 and x is 10

Answer:

Step-by-step explanation:

Area = 28 Sq.ft

length * width = 28

2 * n = 28

Divide both sides by 2

2n/2 = 28/2

n = 14 ft

Answer:b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

7.2 / 2.4 = 3 half-lives

(1/2)3 = 0.125 (the amount remaining after 3 half-lives)

100.0 g x 0.125 = 12.5 g remaining

Hope this Helped! :)

Step-by-step explanation:

Reflection mean bouncing light of a shining surface.

Answer:

-5

Step-by-step explanation:

make the decimals have the same bottom by mutiplying by 3 in the top and the bottom. and not adding the bottms to make 12 instead stay at 6. Add. then you can easliy divide from there. using the keep change flip.

Answer:

-5

Step-by-step explanation:

make the decimals have the same bottom by multiplying by 3 in the top and the bottom. and not adding the bottoms to make 12 instead stay at 6. Add. then you can easily divide from there. using the keep change flip.

Answer:

6 cube/to the 3rd units

Step-by-step explanation:

um idk if this is what you want but yeah

if you spilt it into a 2x2x1 and a 1x2x1 you can count that there are 6 cube units

Answer:6 cubes

Step-by-step explanation:

There are 2 ways that I think you could solve this.

1. First, you could make those 2 missing cubes actual cubes, so then you could find the volume of the cube by doing 2x2x2(length x width x height) and you would get 8 cubes. After that, you would take away the two missing cubes, and you would get 6 cubes.

2. You could also just count the cubes. I counted the two inner cubes and then counted the 4 outer cubes, and got 6 cubes.

Hope this helps!

Answer:

5 to 1.

Step-by-step explanation:

There are 5 unshaded and one shaded section so it's

5:1.

The ratio of unshaded sections to shaded sections is;

Option D; 5 to 1

We are told that the diagram is divided into equal parts.

Now, from the given, we can see that there are 6 equal parts. However, out of the 6 equal sections, only one section is shaded while 5 sections are unshaded.

This means that the ratio of unshaded sections to shaded sections is; 5 to 1.

In conclusion, the ratio of unshaded sections to shaded sections from the given diagram that was divided into equal parts is; 5 to 1.

Read more at; https://brainly.com/question/20094176

.03 is the answer. hope it help!:-)

Answer:

0.02623 rounds to 0.03

Step-by-step explanation:

ones. tenths hundredths thousands

we look at the thousandths place when rounding to the hundredths

the thousands place is 6 (which is 5 or greater) so we will round the hundreds place up 1

0.02623 rounds to 0.03

Answer:

8.1(?)

Step-by-step explanation:

Just do 3.5+4.6 to get 8.1, but if you do multiplication then it'll be 16.1. I'm not sure if this is accurate, though.

Answer:

Mark was 8.1 miles away from his home.

Step-by-step explanation:

3.5 + 4.6 = 8.1

Answer:

First box plot

Step-by-step explanation:

In the figure attached, the options are shown.

The left end of the box is the lower quartile (also called quartile 1 or Q1)

The right end of the box is the upper quartile (also called quartile 3 or Q3)}

The interquartile range (IQR) is computed as follows:

IQR = Q3 - Q1

If Q1 = 3 and IQR = 5, then Q3 = 5 + 3 = 8

The first box plot is the only one with a lower quartile of 3 and an interquartile range of 5

The box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).

Interquartile range (IQR) of a data set is the distance between the lower quartile (Q1) and the upper quartile (Q3) on a box plot.

Thus, a box plot that has a lower quartile of 3 and interquartile range of 5 will have a distance of 5 from the lower quartile to the upper quartile.

Therefore, the box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).

Learn more about interquartile range on:

https://brainly.com/question/4102829

Answer:

Y=17

X=17√2

Step-by-step explanation:

1) This triangle is a right isosceles triangle. You know this because it is marked in that way.

2) In an isosceles triangle, the legs are congruent. That means, if one leg is x, then the other leg will also be x.

- In this case, (y) will be 17 because the other leg is also 17.

3) According to pythagorean theorem, a^2 + b^2 = c^2. The hypotenuse is directly across the 90º angle. So, in this case, knowing that both legs are 17,

you can write  17^2 + 17^2 = c^2

(c = x) because i'm just substituting the values.

So now, solve it. You will get

289 + 289 = c^2

c^2 = 578

now just square root 578.

(remember c = x)

You get that x = √578 = 17√2

Answer:

When in doubt, pick C

Step-by-step explanation:

I don't know what you're asking

Answer: [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{3}-(-5)=[/tex]

Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.

[tex]-\frac{2*3+1}{3} -(-5)=[/tex]

Solve;

[tex]-\frac{6+1}{3} -(-5)=[/tex]

[tex]-\frac{7}{3} -(-5)=[/tex]

Now, get rid of the two negatives by multiplying.

[tex]-\frac{7}{3} +5=[/tex]

Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.

[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]

To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.

[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]

Solve;

[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]

Subtract numerators and keep the same denominator.

[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]

Convert to a mixed number. To do this, first, divide:

8/3=2

6

----

2

The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]

Answer:

35

Step-by-step explanation:

175/5

Answer:

455 cupcakes

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

146° = 9x + 20°

146° - 20° = 9x

126° = 9x

x = 126°/9

x = 14

Answer:

[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]

Step-by-step explanation:

A perfect square is a number that has two identical factors, meaning it can be square rooted. The numbers 64 and 100 are an example:

8 · 8 = 64

10 · 10 = 100

So when you take the square root of [tex]\frac{64}{100}[/tex], you get:

[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]

It doesn't say to simplify, so we can just leave it at that.

Answer:12-J 3.169 meters

13-B $11.46

Answer:

12-J 3.169 meters

13-B $11.46

Step-by-step explanation:

Answer:

i think the answer should be 60 ft long bc that would leave 10ft on each side of the banner

Step-by-step explanation:

hope this helps

To solve you can use inverse operations.

Here are the steps to find the answer:

1. Write out the equation: -6(x-2)+3x= -3(x+3) +21

2. Distribute both sides: -6x+12+3x= -3x-9+21

3. Simplify both sides: -3x+12=-3x+12

4. This equation is true for all values, or infinity, because the equation is the same on both sides

Let me know if you need further explanation. I hope this helps.

Correct question:

Evaluate the expression below for x = 2, y = –3, and z = –1.

Given: [tex] x^2 z^2 -y^2(x+z) [/tex]

Options:

A.–23

B.–5

C.13

D.27

Answer:

B. -5

Step-by-step explanation:

In this question we are given the following values:

x = 2

y = -3

z = -1

Given the expression:

[tex] x^2 z^2 -y^2(x+z) [/tex]

To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively

Therefore,

[tex] x^2 z^2 -y^2(x+z) [/tex]

Substituting values, we have:

[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]

Simplifying, we have:

[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]

[tex]= [(4) (1)] - [(9)(1)] [/tex]

[tex]= 4 - 9[/tex]

= -5

The correct answer is option B

Answer:

59%

Step-by-step explanation:

No. of squares in a whole = 10*10=100

No. of spaces shaded = 59

No. of spaces not shaded = 41

Hence, percent represented by the shaded area = 59%

Answer:

11.56m²

Step-by-step explanation:

3.4×3.4=11.56m²

Answer:

11.56

Step-by-step explanation:

Answer:

b = 16

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

12^2 + b^2 = 20^2

144+b^2 = 400

Subtract 144 from each side

b^2 = 400-144

b^2 = 256

Take the square root of each side

sqrt(b^2) = sqrt(256)

b = 16

Answer:

3, 4, 5, 6, 7, 9, 10, 11

Step-by-step explanation:

Actually it's 10 points but whatever:

I number the figures like this:

1, 2, 3

4, 5, 6

7, 8, 9

3, 4, 5, 6, 7, 9, 10, 11 work because if you cut them out and glued the sides correctly, it will become a cube.