Simplify the expression

(-3v)^5

Answer:

[tex]x=21.6[/tex]

Step-by-step explanation:

Use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,

[tex]a^2 + b^c = c^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Use the Pythagorean theorem in the right triangle with legs (15) and (18),

[tex](15)^2+(18)^2=c^2\\\\225 + 324=c^2\\\\549=c^2\\\\\sqrt{549}=c[/tex]

Use the Pythagorean theorem again in the right triangle with the legs (18) and (x)

[tex](x)^2+(18)^2=c^2\\\\\sqrt{x^2+324}=c[/tex]

Use the Pythagorean theorem one final time in the larger triangle,

[tex](\sqrt{x^2+324})^2+(\sqrt{549})^2=(x+15)^2\\[/tex]

Simplify, remember that anything to the power (2) is equal to the base (number under the exponent) times itself,

[tex]x^2+324+549=x^2+30x+225[/tex]

[tex]x^2+873=x^2+30x+225[/tex]

Inverse operations,

[tex]x^2+873=x^2+30x+225\\-x^2\\\\873=30x+225\\-225\\\\648=30x\\/30\\\\\frac{648}{30}=x\\\\21.6=x[/tex]

                            Friend! your answer would be 34!

                           ~Notify me if you have questions~

                          Have a nice day and I hope it helps!

                                                   ^ω^

-- XxFTSxX

The area of the composite figure is 34 square units.

The formula for the area of a trapezoid is:

Area = (1/2) × (sum of bases) × height

Here, the sum of the bases is 10 + 6 = 16, and the height is 5.

Thus, the area of the trapezoid before the rectangle is cut out is:

Area of trapezoid = (1/2) × 16 × 5 = 40 units²

The height of the rectangle is 2, and the length is 3.

Therefore, the area of the rectangle is:

Area of rectangle = length × height

= 3 × 2

= 6 units²

To find the area of the composite figure, we subtract the area of the rectangle from the area of the trapezoid:

Area of composite figure = Area of trapezoid - Area of rectangle

= 40 units² - 6 units²

= 34 units²

Therefore, the area of the composite figure is 34 square units.

Learn more about the trapezoid here :

brainly.com/question/8643562

#SPJ2

Answer:

72

Step-by-step explanation:divide 36 by 9 and find the ration is 4. Apply same ratio to the width and the result is 8; 32/4=8. Area of rectangle is length times width; 9x8=72 sq inches

Answer:

0.167 is rational

2/6 is rational and the other two is irrational

:)

Step-by-step explanation:

Answer:

Use dynamic geometry software to draw any triangle and label it △ABC. a. Dilate △ABC using a scale factor of 2 and a center of dilation at the origin to form ... the scale factor is k = 3. —. 2 . So, the dilation is an enlargement. b. Because. CP′ ... Graph △ABC with vertices A(2, 1), B(4, 1), and C(4, −1) and its image after a.

Step-by-step explanation:

Answer:

[tex]-8[/tex]

Step-by-step explanation:

Just take away parentheses.

Answer:

25

Step-by-step explanation:

That is the answer, 25

Answer:

Step-by-step explanation:

Given:

To find:

Solution:

Answer:

7/3

Step-by-step explanation:

no brainlyest i see how it is -_-

Answer:

42.86%

Step-by-step explanation:

Answer:

Step-by-step explanation:

3Y+6<24

3Y<18

Y<6

Y can be any number/integer that is less than 6.

Answer:

b) 11.7

Step-by-step explanation:

Given:

Volume of a right circular cone = 16 cubic inches

Radius of the cone = 1.5 inches.

To find:

The height of the cone.

Solution:

The volume of a cone is:

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius and h is the height of the cone.

Putting [tex]V=16,r=1.5,\pi=3.14[/tex] in the above formula.

[tex]16=\dfrac{1}{3}(3.14)(1.5)^2h[/tex]

[tex]48=(3.14)(2.25)h[/tex]

[tex]48=7.065h[/tex]

Divide both sides by 7.065.

[tex]\dfrac{48}{7.065}=h[/tex]

[tex]6.794=h[/tex]

[tex]h\approx 7[/tex]

Therefore, the height of the cone is 7 inches.

Answer:

7 cups

Step-by-step explanation:

1 pint is 2 cups.

Just double the number of pints to get the amount of cups

Answer:

7

Step-by-step explanation:

Answer:

x = 12°

Step-by-step explanation:

The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.

The sum of the exterior angles of a polygon sums up to 360

An hexagon is a 6 - sided polygon

(x + 2x + 5x + 6x + 7x + 9x) = 360

30x = 360

Divide both sides by 30

x = 360 / 30

x = 12

Hence, x = 12°

Answer:

[tex]7^{8}[/tex]

Step-by-step explanation:

When you multiply exponential numbers with the same base number, you have to add the exponents. So add 2 and 6 because the numbers share 7 as base.

please give brainliest if it helped:)

Answer:

#1 is Geometric

the common ratio is 2

#2 is Arithmetic

the common difference is 6

Answer:

C

Step-by-step explanation:

Answer:

y=-2x-8.5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

FYI

Answer:

24

Step-by-step explanation:

5^2-3^2=?

25-9=16

sqrt 16 = 4

6×4=24

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

18 - 2n2  We are gonna be evaluating

Step 2

18 - 2n^2  Substitute n for 3

18-2(3^2)

Step 3

18-2(3^2)  simplify

0

So therefore, your answer is 0

Hope this helps

Answer:

It is an rational

Step-by-step explanation:

Answer:

B, the box on the left used 30 in square units less cardboard.

Step-by-step explanation:

I took this question on my quiz and got it right.

Answer:

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

The first thing to notice is that <EBC and <ABE form a straight line. This means they are a linear pair, also known as complementary. So, when they are added together they will equal 180 degrees. Therefore, to solve, set up and solve the algebraic equation, 180=58+x. When 58 is subtracted from both sides, you are left with x=122.