Find the surface area of the figure. Round to the nearest hundredth.

The value of x is 13. Therefore, option B is the correct answer.

Given that, EF=7x+9, FG=3x+4 and EG=143.

A line segment is a part of a line that connects two points which are considered to be its endpoints. It is the distance between two points that can be measured.

Now, EG=EF+FG

⇒143=7x+9+3x+4

⇒10x+13=143

⇒10x=130

⇒x=13

The value of x is 13. Therefore, option B is the correct answer.

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Answer:

sqrt d = 10

d = (10)^2

d = 100

Part b

x^2 = 144

x = 12 or -12

Step-by-step explanation:

Answer:

4k(2k² - 5k - 4) + 5(2k² - 5k - 4)

8k³ - 20k² - 16k + 10k² -25k - 20

8k³ - 10k² - 41k - 20

Thus its G

So the right answer is of option G.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:

(2b)

Step-by-step explanation:

Answer:

One. see it for the ages of 50-59.

Answer:

9.4 = x

Step-by-step explanation:

You are given the hypotenuse and the adjacent side, leading you to use cosine.

Set it up:

[tex]cos48 = \frac{x}{14}[/tex]

Multiply everything by 14, to remove it from the denominator:

[tex]14(cos48 = \frac{x}{14})[/tex]

[tex]14cos48=x[/tex]

Multiply accordingly:

9.36 = x

Round to nearest tenth:

9.4 = x

Answer:

Cylinder =   [tex]\pi[/tex]* [tex]r^{2}[/tex] * h

Rectangle =   l*w*h

Cone =   1/3 [tex]\pi[/tex]* [tex]r^{2}[/tex] * h

Pyramid =   1/3 b*h

Step-by-step explanation:

Answer:

-1220703125

Explanation:

The 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The sequence is:

1 , − 5 , 25 , . . .

The above sequence represents a geometric sequence.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,

approaching either infinity or -infinity.

The common ratio = -5/1  = -5

The nth term a(n) = arⁿ⁻¹

The first term a = 1

The nth term a(n) = (5)ⁿ⁻¹

Plug n = 14

The 14th term a(14) = (-5)¹⁵⁻¹

The 14th term a(14) = (5)¹⁴

Thus, the 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.

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Answer:

1600 ft

Step-by-step explanation:

Y is equal to -50. (y= -50)

Step-by-step explanation: Solve for y

by simplifying both sides of the equation, then isolating the variable.y=−50

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

a^2 + b^2 = c^2

a = side of right triangle

b = side of right triangle

c = hypotenuse

*can only be used for a RIGHT triangle*

( hope i was able to help)

Answer:

$174.05

Step-by-step explanation:

To find the value of the investment at a later date:

[tex]x * multiplier^n = y[/tex]

Here, [tex]x[/tex] is the original amount, [tex]n[/tex] is the number of times the amount compounds and [tex]y[/tex] is the new value.

Let's find the multiplier. Imagine the $125 to be 100%, because that is the full amount of the investment. If you add 18% onto 100%, the result is 118%.

To convert this into a multiplier, you simply divide by 100:

118 ÷ 100 = 1.18

The original amount [tex]x[/tex] in this case is equal to $125, so we can easily substitute that into the equation. We know our multiplier is 1.18. And here, the investment is compounded once per year, and this is over a two year period, meaning the original amount will be compounded twice overall. Therefore, [tex]n=2[/tex].

Finally, we substitute our values into the equation:

[tex]125 * 1.18^2 =174.05[/tex]

This means our final answer is $174.05.

Answer:

54 in^2

Step-by-step explanation:

9*12/2=54 in^2

Answer:

54

Step-by-step explanation:

The formula is 1/2*base*height which is 1/2*12*9. This is equal to 54.

hope this helps:)

Answer:

2,493.796 => 2493.8

Step-by-step explanation:

Answer:

2,492.5 mm^2

Step-by-step explanation:

The formula to find the Surface area is 2 pi r^2 + 2 pi r x h

So, 2 pi 14.7^2 + 2 pi 14.7 x 12.3

2 pi 216.09 + 2 pi 180.81

2 x 678.5226 + 2 x 567.7434‬

1,357.0452 + 1,135.4868

2,492.532‬

The surface area of this cylinder is 2,492.5 mm^2

Answer:

Domain: [0, 6]

Step-by-step explanation:

There's a rising slope between 0 and 6 and then it's decreasing for the rest.

I hope this helped and have a good rest of your day!

Answer: 292

Step-by-step explanation:

The formula is: [tex]a_n=a_1+(n-1)d[/tex]

Where;

[tex]a_n=[/tex] [tex]n^t^h[/tex] term or the term we're trying to find.

[tex]a_1=[/tex] First term

[tex]d=[/tex] Common difference.

To find the common difference, take [tex]a_2-a_1[/tex], or [tex]a_3-a_2[/tex] or [tex]a_4-a_3[/tex]

4-(-2)=?

4+2=?

6 -> this is our common difference

---------------------------------

10-4=?

6 -> this is our common difference

--------------------------------

16-10=?

6 -> this is our common difference

------------------------------------------------------------

Knowing this, we plug into the formula the number we're trying to find.

[tex]a_n=a_1+(n-1)d\\a_5_0=-2+(50-1)6\\a_5_0=-2+(49)6\\a_5_0=-2+294\\a_5_0=292[/tex]

Answer:

C. 292

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

800/8 = 100

sooo.......

120/8 = 15

15/100

hope this helps ! :)

Answer:

last one

Step-by-step explanation:

the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe

6 < x < 64

Therefore, option b) is correct.

Step-by-step explanation:

Given :

Two sides of the triangle -- 35 , 29

Solution :

Let y, z and x are the sides of the triangle and given that y = 35 and z = 29.

Then ,

y - z < x < y + z

35 - 29 < x < 35 + 29

6 < x < 64

Therefore, option b) is correct.

For more information, refer to the link given below

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Answer: 118 feet

Step-by-step explanation:

For a rectangular shape: Area = W × L

450 = 9 × L

450 ÷ 9

L = 50

Perimeter of a rectangular shape = 2L + 2W

Perimeter = (2 × 50) + (2 × 9)

= 100 + 18 = 118 feet

Answer:

363

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 92 and d = - 85 - (- 92) = - 85 + 92 = 7 , thus

[tex]a_{66}[/tex] = - 92 + (65 × 7) = - 92 + 455 = 363

Answer:

363.

Step-by-step explanation:

We see that each term increases by 7.

This is an arithmetic sequence with first term (a1) = -92  and the common difference (d) is 7.

an = a1 + (n - 1)d

a66 = -92 + (66 - 1)7

= -92 + 455

= 363.

Answer:

"yes" the triangles are similar

the scale factor going from triangle PQR to triangle ZYK is "2"

Step-by-step explanation:

i just did it :3 good luck!

Answer:

"yes" and "2"

526.36 rounded will be =

= 530

Answer:

108

Step-by-step explanation:

add 90+68+94, which will give you 252. subtract that from 360 because it‘s a quadrilateral and you will get 108 :)

Answer:

64°

Step-by-step explanation:

See the angle is smaller than 108° and it is not 90° so the answer is 64°

Answer:

multiply 1 1/3 to 3 3/4

Step-by-step explanation:

Answer:

3 2/3

Step-by-step explanation:

If you make the one batch of walnut muffins into a mixed number you get 3 2/3 so that would be how much you would need for the 3 3/4 batches of muffins

Answer:

I think it is b. Curve

Step-by-step explanation: