A cube has a surface area of 216 square centimeters. What is the length of each side of the cube?

Answer:

3.

1.x=√(15²-12²)=√81=9

2.x=√(6²+6²)=6√2

3.c=√(√19²-√7²)=√(19-7)=√12

Step-by-step explanation:

4.h=10

a=b=x

we have

by using Pythagoras law

h²=x²+x²

100=2x²

x²=50

x=√50=5√2

both legs =5√2

Answer:

x=105

Step-by-step explanation:

75+75+x+x=360

150+2x=360

2x=210

x=105

I hope this is correct and helps you!

Answer:

x = 105°

Step-by-step explanation:

Because x° and 75° are supplementary angles (sum equals 180°), we cand do 180° - 75° to find x.

180° - 75° = x

x = 105°

Answer:

3 and 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 = (-1) * (-3)

So, Now we can write

[tex](5^{n})^{3}= (5^{n})^{-1 * -3}\\\\= (5^{n*-1})^{-3}\\\\=(5^{-n})^{-3}\\\\= (0.5)^{-3}\\\\= \frac{1}{0.5^{3}}\\\\=\frac{1}{0.125}[/tex]

Answer:

2x is less than 8 or B

Step-by-step explanation:

When looking at the number line you got to look to see if the circle is closed or not. In this case it is a closed circle meaning to include the number. Then look at what direction it is going toward. Is it increasing? Is it decreasing? In this case it is decreasing. Meaning that 2x is less than 8

NOT A - Reason why it is not a is because 8 is not included in the range of numbers

NOT C

Step-by-step explanation:

the lebgth to form the right angle is e9

Answer:

71

Step-by-step explanation:

vertical sides  are congruent

x+30=101

x=71

Answer:

Simplify each term.

Px+px+3p=10x−7

Move all terms not containing P to the right side of the equation.

Px=10x−7−px−3p

Divide each term by x and simplify.

P=10−7/x−p−3p/x

Step-by-step explanation:

Answer:

False

48° + 77° + 66° ≠ 180°

Step-by-step explanation:

Answer:this one is hard

Step-by-step explanation:

Answer:

to prove:

mo=qo (given in the question)

angle m = angle q (given in the question)

angle MOP= angle QON (both the triangles meet at angle O so the angles are equal)

hence they are congruent.

Step-by-step explanation:

hope so its right

mark brainliest

Answer:

B. 3.5 feet

Step-by-step explanation:

The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.

Given the following data;

Hypotenuse = 12.5 ft

Opposite = 12 ft

To find the adjacent side, we would use the Pythagorean theorem;

Hypotenuse² = opposite² + adjacent²

Substituting into the formula, we have;

12.5² = 12² + adjacent²

156.25 = 144 + adjacent²

Adjacent² = 156.25 - 144

Adjacent² = 12.25

Taking the square root of both sides, we have;

Adjacent = 3.5 feet.

Therefore, the distance of the ladder from the house is 3.5 feet.

Answer:

[tex]\frac{A+2c}{2}[/tex] = b

Step-by-step explanation:

A = 2(b-c)

Distribute

A = 2b - 2c

+2c         +2c

A + 2c = 2b

/2           /2

[tex]\frac{A+2c}{2}[/tex] = b

Answer:

3

Step-by-step explanation:

The two quads are of similar, and we know that they are of ratio 1:2, thus

3y+5/7 = 2

y = 3

Answer:

y = 3

Step-by-step explanation:

The figures are similar so the ratios of corresponding sides are equal, that is

[tex]\frac{UR}{DA}[/tex] = [tex]\frac{TS}{CB}[/tex] , substitute values

[tex]\frac{4}{2}[/tex] = [tex]\frac{3y+5}{7}[/tex] ( cross- multiply )

2(3y + 5) = 28 ( divide both sides by 2 )

3y + 5 = 14 ( subtract 5 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

Answer:

7 dimes and 5 nickles

Step-by-step explanation:

7 times 10 equals 70 5 times 5 equals 25. 70 plus 25 equals 95

Answer:

The side lengths are 10 by 7

Step-by-step explanation:

The area of a rectangle is

A = l*w

70 = (x - 11)(x - 8)

FOIL

70 = x^2 -8x-11x+88

Combine like terms

70 = x^2 -19x +88

Subtract 70 from each side

0 = x^2 -19x +88-70

0 = x^2 -19x+18

Factor

What number multiplies to 18 and adds to -19

-18*-1 =18

-18-1 = -19

0=(x-18)(x-1)

Using the zero product property

x-18=0   x-1=0

x=18   x=1

But x cannot x=1 because then the side lengths would be negative

x-18 = 10

x-11 = 7

The side lengths are 10 by 7

Answer:

[tex]\Huge\boxed{B}[/tex]

Step-by-step explanation:

Hello There!

The area of a rectangle is equal to length times width

2*9=18 so the area of the rectangle is 18 square feet

If a triangle is formed in a rectangle then that triangle is 1 half of the area of the rectangle

18/2=9 so the area of the triangle is 9 square feet

Answer:

x=3

Step-by-step explanation:

Hello There!

The shown angles have a sum of 90 degrees

This is noticeable because there is a square at the vertex which indicates that its a right angle

A right angle has a measure of 90 degrees

That being said we can create an equation to solve for x

90 = 66 + 8x having made an equation we now solve for x

step 1 subtract 66 from each side

90 - 66 = 24

66 - 66 cancels out

now we have

24 = 8x

step 2 divide each side by 8

8x/8=x

24/8=3

we're left with x = 3

Answer:

x=3

Step-by-step explanation:

8x+66=90 complement

8x=90-66

x=24/8=3

Answerloser

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

f(x) = [tex]\sqrt{3x}[/tex]

g(x) = [tex]\frac{1}{x+3}[/tex]

(f o g)(x) = f[g(x)]

             = [tex]\sqrt{\frac{3}{x+3} }[/tex]

This function is defined for (x + 3) > 0

(x + 3) - 3 > 0 - 3

x > -3

From the given options x = 8 is the only solution which is greater than -3.

Therefore, x - 8 is in the domain of the given function.

Answer:

intercepts are 2 and -4

I hope this helps ;)

Answer:

350

Step-by-step explanation:

2(lw + wh + lh)

(7*7) = 49

(7*9) = 63

(9*7) = 63

so now its

2(49 + 63 + 63)

= 2(175)

= 350

have agreat day and easter :)

Answer:

The percentage change (an increase) wa 40%.

Step-by-step explanation:

The beginning number of acres was 100; adding 40 more brought that to 140 acres.  This was an increase.  Dividing the increase (40) by the starting value (100) yields 0.40.  Finally, multiplying this result by 100% yields 40%.

The percentage change (an increase) wa 40%.

Answer:

x=-2

Step-by-step explanation:

2x+1=(-3)

-1 on both sides

2x=-4

÷2 on both sides

x=-2

Hope this helps =]

Answer:

A

Step-by-step explanation:

We have to determine the future value of the annuity to determine which account has a greater value

Future value = Amount x annuity factor

annuity factor = Annuity factor = {[(1+r)^n] - 1} / r

Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14

Account B = 250  x[ (1.051)^15 - 1 ] / 0.051 = $5435,42

Account A will be greater