Express the ratio below in its simplest
form.
14:7:21

Answer:

37.69    (≈ 38 ft²)

Step-by-step explanation:

2πr = 30.77

r = 30.77 / (2 * 3.14) = 4.9

half of free-throw circle area: πr² / 2 = (3.14 * 4.9²) / 2 = 37.69    (≈ 38 ft²)

Answer:

use this formula

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two relations can be written in general form using the given variable definitions as ...

  5x +7y -57.40 = 0

  4x +2y -32.60 = 0

The solution using the cross-multiplication method is ...

  d1 = (5)(2) -(4)(7) = 10 -28 = -18

  d2 = (7)(-32.60) -(2)(-57.40) = -228.20 +114.80 = -113.40

  d3 = (-57.40)(4) -(-32.60)(5) = -229.60 +163 = -66.60

  x = d2/d1 = -113.40/-18 = 6.30

  y = d3/d1 = -66.60/-18 = 3.70

The cost of 1 sandwich is $6.30.

The cost of 1 burrito is $3.70.
_____

For more about the cross-multiplication method of solving systems of equations, see ...

  https://brainly.com/question/26397343

a. Based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.

b. To the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.

The ratios of the corresponding sides of two triangles that are similar are equal.

Two triangles with two pairs of congruent angles are similar to each other based on the AA similarity theorem.

a. In ΔABC and ΔSDC, there are two pairs of congruent angles - ∠DCS ≅ ∠BCA (vertical angles) and ∠ABC ≅ ∠SDC (right angles)

Therefore, based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.

b. AB = 150 ft

Distance from the ship to the shore = SD = ?

DC = 130 ft

CB = 23 ft

Thus:

AB/SD = CB/DC

Substitute

150/SD = 23/130

SD = (150×130)/23

SD = 847.8

Thus, to the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.

Learn more about similar triangles on:

https://brainly.com/question/11899908

Answer:

What are you talking about

Step-by-step explanation:

Answer:

Point

Step-by-step explanation:

its kinda in the name

Answer:

Step-by-step explanation:

Answer:

area= 59.5    perimeter=31.6

Step-by-step explanation:

the area of the square is 49 because 7x7=49 and the area of the triangle is 3x7/2 because it is half of a rectangle so it is 10.5 + 49 = 59.5 and perimeter you add all the sides so 3+7.6+7+7+7= 31.6

Answer:

I think b it's the only one that makes sense to me

( 575.75 - 65 ) / 15 = amount each player gets

575.75 - 65 = 510.75

510.75 / 15 = $34.05 given to each player

your answer choice should be A

Answer:

x = 27

Step-by-step explanation:

this problem is similar to a scale drawing where we can set up a proportion:

'x' is to 5 as 162 is to 30

x/5 = 162/30

cross-multiply:

30x = 810

x = 810/30

x = 27

Answer:

x=27

Step-by-step explanation:

Answer:

y-0 = 4/5(x-2)

Explanation:

0 is the y point so it goes in the y-y1 spot. The m or the slope goes into the m spot by the parenthesis. The 2 goes into the spot of the m-m1. One thing that is important is that when plugging in the point into the equation is to always put in the inverse. So if 3 was the y point, the equation would be y-3, if it was a negative point it would be, y + 3.

Answer:

D:2x

Step-by-step explanation:

acc, to BOADMAS rule we have to first multiple then add

so , 1+2(x-1)

=> 1+2x-1

=> 2x

Answer:

6/8 = 12/18

Step-by-step explanation:

hope this helps :D

Answer:

4 4/15

I put it all in the pic. I am bad at formatting. Sorry. Hope this helps.

:D

Answer:

1, 2, and 3

Step-by-step explanation:

You can simplify n+2<6 by subtracting 2 from both sides to get n<4. Now you just select all options less than 4 which include 1, 2, and 3. The reason 4 is not a solution is because it is equal to, but not less than, 4. Sense 5 is greater than 4 it is not a correct answer either.

Answer:

D. M and O are similar but not congruent

Step-by-step explanation:

As you can see, M and O are similar because they both have four sides and equal length for each of the side meaning that they are both squares.

At the same time, M and O are do not have the same dimensions meaning they are not congruent

Using the concept of margin of error, it is found that higher samples lead to more precise results, hence the correct option is:

D. it is based on a very large random sample.

The margin of error of a confidence interval is given by:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

In this problem the increase in life expectancy regarding regular slow walking should be considerably greater than 2 months, which means that the a larger sample is needed to give a more precise result, hence option D is correct.

You can learn more about margin of error at https://brainly.com/question/25821952

Step-by-step explanation:

it is a simple addition and subtraction sequence :

10 + 0 + -21 + 14 = 3

since the result is positive, it is overall a gain.

if the result were negative, it would be an overall loss.

so, he had an overall gain of 3 yards.

Answer:

[tex]\frac{24}{a}[/tex] - b

[tex]\frac{b-2}{a}[/tex]

[tex]\frac{21}{a}[/tex]-[tex]\frac{b}{4}[/tex]

b - [tex]\frac{2}{3}[/tex]a

25 - 2b

5b - 10a

Step-by-step explanation:

a = 3 and b = 8

Plug in a and b into your equations.

25 - 2(8) = 25 - 16..........9

[tex]\frac{8-2}{3}[/tex] = [tex]\frac{6}{3}[/tex]..........2

5(8) - 10(3) = 40 - 30..........10

[tex]\frac{24}{3}[/tex] - 8 = 8 - 8..........0

[tex]\frac{21}{3}[/tex] - [tex]\frac{8}{4}[/tex] = 7 - 2..........5

8 - [tex]\frac{2}{3}[/tex](3) = 8 - 2..........6

Then you order least to greatest.

Answer:

1)  f-2g

2) h+3fg

Step-by-step explanation:

1)

2)

#1.

[tex]f(4) - g(2) + f(3))[/tex]

[tex]4f-2g + 3f[/tex]

[tex]4f - 3f - 2g[/tex]

[tex]f-2g[/tex]

#2.

[tex]h(1) + f(1) x g(3)[/tex]

[tex]h+fx 3g[/tex]

[tex]h + 3fg[/tex]

Answer:

x=2 y=16 so (2,16)

Step-by-step explanation:

y=10x-4 --> 8x=10x-4

                  -10x -10x

-2x=-4

-2/-2x -4/-2

x=2

y=10x-4 --> y=10(2)-4

y=20-4

y=16

Answer:

2 ; 16

Step-by-step explanation:

y = 8x _
y = 10x - 4

___________
0=2x-4

4=2x

x=2

=> y=8*2=16

Answer:

8x^2-22x+15

Step-by-step explanation:

Multiply them together

Answer:

There are many, many, different expressions equivalent, but if you distribute them together you come up with:

8x² - 22x + 15

Step-by-step explanation:

When distributing (4x–5) (2x-3) we should end up with four values, and then add them together.

[] The outside numbers of 4x and -3

-> 4x * -3 = -12x

[] The inside numbers of -5 and 2x

-> -5 * 2x = -10x

[] The left numbers of 4x and 2x

-> 4x * 2x = 8x²

[] The right numbers of -5 and -3

-> -5 * -3 = 15

Now we can add them together;

-12x + -10x + 8x² + 15

8x² - 22x + 15

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

3

......,..............

Answer:

There are 3 zeros.

Step-by-step explanation:

5 x 10³ = 5000

Answer: 120000

Step-by-step explanation:

x/4 = 55

=> x = 55 × 4

=> x = 220

Answer:

x = 220

Step-by-step explanation:

220 divided by 4 = 55

or

55 x 4 = 220

...

Answer:

Answers are in picture, and they are color-coded.

Step-by-step explanation:

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Answer:

Upper quartile- The median of the upper half of a set of data

Lower Quartile- The median of the upper half of a set of data

Quartile- Divides a data set into four equal parts

Range- Difference between the highest and lowest data points

Interquartile- The difference between the upper quartile and the lower quartile

Answer:

Addition and subtraction are easier than other operations like multiplication, division, square roots and to the power of.

Multiplication builds on the idea of addition, and to the power of builds on multiplication.

For example: 2+2+2=6. This is very simple, if you have 2 apples, and you get 2 more apples, and then you get 2 more apples, you add them together and you get 6 apples. Multiplication is a faster way to do this but it is more complicated. If you have 3 groups of apples, and each group has 2 apples in it, you multiply them together to get 6 apples. The reason this is faster is that instead of individually adding all the numbers together, you count the number of groups there are and multiply because you know that each group has 2 apples in it. Addition is a simple concept to understand, if you have two apples, than you add two apples more, you get 4 apples. very simple. the idea of subtraction works on a similar idea, if you have 4 apples, and you eat two, then you have 2 apples left.

If you are adding

3+3+3+3+3+3+3+3+3+3+3+3+3+3

then its very simple, right? You take 3 apples, you add 3 more apples, and you add 3 more apples...

Its very simple, but the problem is it would take forever, so you multiply instead.

How many groups do you have?

We count them all and find there are 14 groups.

14x?

What are we multiplying?

3

so 14x3=42

but we couldn't do this without simple addition because we had to add the number of groups there are.

I hope this helps!

Answer number 1.:

x=

31

​

−6≈−0.432235637

x=−

31

​

−6≈−11.567764363

answer number 2.:

Factor:

3 (x-(6 - 2   10

Evaluate:  

3 ( x2 - 12x -- 4)

Answer:

Step-by-step explanation:

To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.

a^2 + b^2 = c^2

c is the hypotenuse, the longest side of a right triangle.

a and b are the legs of the right triangle.

a = 7

b = 15

c = 17

7^2 + 15^2 = 17^2 ?

49 + 225 = 289 ?

274 ≠ 289

Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.

have a good day :)