The length of each base of a trapezoid is shrunk to one-third its original length and the height of the trapezoid is tripled.
Lisa claims that the area of the new trapezoid is one-third the area of the original trapezoid.
Which expression best uses the dimensions of the new trapezoid to compare its area to the area of the original trapezoid in order to
determine if Lisa's claim is accurate?
A
lh + b) 3h
C С
3(02+)31
D

Answer: the answer is 4x^2

Step-by-step explanation:

hope it help

Answer:

200π

Step-by-step explanation:

Surface area is abbreviated to SA

TOTAL SA of cone = Base area + πrl

Base area = πr² = π x 8² = 64π

Curved SA = πrl = π x 8 x l

to work out l, use pythagoras theorem: √(15)² + (8)² = 17

so, curved SA = π x 8 x 17 = 136π

Total SA of cone = 64π + 136π = 200π

Answer: The answer is B because the triangle rotated a 90 degrees counterclockwise then got a reduction.

Step-by-step explanation:

Answer:

609 m²

Step-by-step explanation:

Area of unshaded:

(6 x 18) + ((13-6) x 7) = 157

Area of overall rectangle:

36 x 28 = 1008

Area of the chunck of rectangle not included:

11 x 22 = 242

Area of shaded:

1008 - 157 - 242 = 609

Answer:

a

Step-by-step explanatio

Answer:

36

Step-by-step explanation:

3(15.9 - 3.9)

3 · (15.9 - 3.9)

3(15.9) - 3(3.9)

47.7 - 3(3.9)

47.7 - 11.7

36

Answer:

I believe the answer is 15

Step-by-step explanation:

15.9 - 3.9 (line up the decimals correctly)

then subtract it and you get 12.0

add 12.0 + 3 (under the 2)

12.0

+3

and you get 15 as your answer :)

Answer:

The formula for circumference of a circle is 2πr

Mark me brainliest teehee :)

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

8 units²

Step-by-step explanation:

What you have is a square with two triangles. We will break them apart, calculate the area and then add them together.

Square: A = l · w

2 · 2 = 4 un²

Triangle: A = (b · h) ÷ 2

(2 · 2) ÷ 2 = 2 un²

4 un² + 2 un² + 2 un²

8 un²

Answer:

2/9

Step-by-step explanation:

convert mixed number to improper fraction

8/3÷3 1/4

dividing is equivalent to multiplying by the reciprocal

8/3×1/3×1/4

reduce the numbers with the greatest common factor 4

2/3×1/3

multiply the fraction

2/3×1/3=2/9

2/9 is your answer

Answer:

AB = 5.6 cm

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 62°

Hypothenus = BC = 12 cm

Adjacent = AB =?

The lenght of side AB can be obtained by using Cos θ ratio. This is illustrated:

Cos θ = Adjacent / Hypothenus

Cos 62 = AB / 12

0.4695 = AB / 12

Cross multiply

AB = 0.4695 × 12

AB = 5.6 cm

Thus, length AB is 5.6 cm

Answer:

54 square ft

Step-by-step explanation:

Find missing sides:

8+6 = 14

9-6 = 3

Find area of full rectangle:

9×8 = 72

Find the area of the missing part of the full rectangle

3×6 = 18

Find the area of the actual shape:

72-18 = 54

Area = 54 square ft

Answer:

y = 54

x = 36

Step-by-step explanation:

Using tan x or y = opp/adj

Answer:

[tex]36+27\pi\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The figure consists of a square and a sector. We can add the areas of the square and sector to get the total area of the figure.

The area of a sector with measure [tex]\theta[/tex] in a circle of radius [tex]r[/tex] is equal to [tex]\frac{\theta}{360}\cdot r^2\pi[/tex]. Since there are 360 degrees in a circle and 90 degrees in each corner of a square, the measure of the sector is [tex]270^{\circ}[/tex].

Thus, its area is:

[tex]\frac{270}{360}\cdot6^2\cdot pi=\frac{3}{4}\cdot 6^2\cdot \pi=27\pi[/tex].

The area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex]. Therefore, the area of the circle is [tex]6^2=36[/tex] and the total area of the figure is [tex]\boxed{36+27\pi\:\mathrm{in^2}}[/tex]

Answer: 36+27in2

Step-by-step explanation:

Answer:

A. Right 6, Down 5

Step-by-step explanation:

I don't know how to explain this

Answer:

423.32cm³

Step-by-step explanation:

Volume of a cylinder = [tex]V=\pi r^2h[/tex]

where r = radius and h = height

Given height = 11 cm

Given radius = 3.5 cm

* plug in these values into the formula *

[tex]V=\pi 3.5^211\\3.5^2=12.25 \\12.25\pi =38.48\\34.48*11=423.32\\V=423.32[/tex]

So we can conclude that the answer would be D

Answer:

60

Step-by-step explanation:

Answer:

t = -100

Step-by-step explanation:

Simplify to isolate t:

[tex]\frac{t}{2}+10-10=-40-10[/tex]

[tex]\frac{t}{2} * \frac{2}{1} = -50 * 2[/tex]

[tex]t = -100[/tex]

The last one 8,000 + 600 + 9

Answer:

Step-by-step explanation:

²³

Answer:

c

Step-by-step explanation:

[tex] \sqrt{ \frac{1}{ {x}^{2} } } \times \sqrt{ \frac{ {x}^{2} }{81} } = \frac{1}{x} \times \frac{x}{9 } = \frac{1}{9} [/tex]

The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below,

⇒ [√(1 / x²)] · [√(x² / 81)]

Simplify the equation, then we have

⇒ [√(1 / x²)] · [√(x² / 81)]

⇒ [1/x] · [x/9]

⇒ 1/9

The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ7

Answer:

The equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].

Step-by-step explanation:

The exponential growth function is represented by the expression described below:

[tex]y = a\cdot b^{x}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a[/tex] - Initial value of [tex]y[/tex].

[tex]b[/tex] - Base.

By deriving (1), we obtain an expression for the slope of the curve:

[tex]y' = a\cdot b^{x} \cdot \ln b[/tex] (2)

If we know that [tex]x = 0[/tex], [tex]y = 3[/tex] and [tex]y' = 6[/tex], then we have the following system of equations:

[tex]a = 3[/tex] (3)

[tex]a\cdot \ln b = 6[/tex] (4)

By (3) in (4):

[tex]3\cdot \ln b = 6[/tex]

[tex]\ln b = 2[/tex]

[tex]b = e^{2}[/tex]

[tex]b = 7.389[/tex]

Therefore, the equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].

Answer:

2

Step-by-step explanation:

your dog doesn't love you because it saw what you did. it knows. be cautious around your dog from now on. it knows more than you think and sees all. I'm warning you

Answer:

1,2,4,8,16,32

Step-by-step explanation:

power of two sequence