These are similar figures. Solve for x

Answer:

33.5 in^3

Step-by-step explanation:

The formula for a cone is (pi)(r^2)(h/3)

Since we need to use 3.14 for pi, we will plug in 3.14 for pi. It should look like this:  (3.14)(r^2)(h/3)

The radius is 2 and the height is 8. Plug in the numbers:

(3.14)(2^2)(8/3)

Simplify:

(3.14)(4)(2.66...)

Multiply:

(12.56)(2.66...) -> 39.4933...

Finally, 39.4933... is rounded to the tenths place:

39.5

Hope this helps :)

Answer:

$1,679.62

Step-by-step explanation:

129.60*12=$1,555.20

You then do 1,555.2*.08, and get:124.416

You then add the 2 together to find the amount needed to be paid back.

[tex]12b^2\sqrt[3]{2a}[/tex]

In word form, this is 12 b squared (RootIndex 3 StartRoot 2 a EndRoot

Or you could say 12b^2 times the cube root of 2a

========================================================

Work Shown:

[tex]3b^2\sqrt[3]{54a}+3\sqrt[3]{2ab^6}\\\\3b^2\sqrt[3]{27*2a}+3\sqrt[3]{b^6*2a}\\\\3b^2\sqrt[3]{(3)^3*2a}+3\sqrt[3]{(b^2)^3*2a}\\\\3b^2\sqrt[3]{(3)^3}*\sqrt[3]{2a}+3\sqrt[3]{(b^2)^3}*\sqrt[3]{2a}\\\\3b^2*3*\sqrt[3]{2a}+3*b^2*\sqrt[3]{2a}\\\\9b^2\sqrt[3]{2a}+3b^2\sqrt[3]{2a}\\\\(9b^2+3b^2)\sqrt[3]{2a}\\\\\boldsymbol{12b^2\sqrt[3]{2a}}\\\\[/tex]

The idea here is that we break the cube roots into smaller pieces, so we pull out perfect cubes when factoring.

The sum of the expression is 12 b squared (Root Index 6 Start Root 2 a End Root) or 12b²∛(2a).

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We have the expression,

3 b squared (Root Index 3 Start Root 54 a End Root) + 3 (Root Index 3 Start Root 2 a b Superscript 6 Baseline End Root).

In numerical form,

3b²∛(54a) + 3∛(2ab⁶)

To find the sum of the above expression:

we simplify the expression,

3b²∛(54a) + 3∛(2ab⁶)

= 3b²∛3³(2a) + 3∛(2a)(b²)³

= 9b²∛(2a) + 3b²∛(2a)

= 12b²∛(2a)

Therefore, the sum is 12b²∛(2a).

To learn more about the expression;

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Answer:

Length of AC = 12units.

Step-by-step explanation:

[tex]\sf\large{\star Given:-}[/tex]

[tex]\sf\large{\star To\: Find:-}[/tex]

[tex]\rightarrow[/tex] Base of the triangle.

[tex]\sf\large{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]As we know that,

Pythagoras Theorem:

[tex]\sf\blue{Hypotenuse^2\:=\: Height^2+Base^2}[/tex]

So, In triangle ABD by putting the value of hypotenuse and height in this formula we get,

[tex]\rightarrow[/tex][tex]\sf{10^2\:=\: 8^2 + Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{100\:=\: 64 + Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{100-64\:=\: Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{36\:=\: Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{\sqrt{36}\:=\: Base}[/tex]

[tex]\rightarrow[/tex][tex]\sf{6\:=\: Base}[/tex]

Since, it is given that BD is the perpendicular bisector of AC so length of AC will be doubled.

Therefore, length of AC of the given triangle = [tex]\sf\purple{12units.}[/tex]

Answer:

f(1) = 3

Step-by-step explanation:

f(t) = t² - 1t + 3

we want to find f(1)

all we have to do is replace the t's with 1 and evaluate

f(1) = (1)² - 1(1) + 3

evaluate exponent 1² = 1

f(1) = 1 - 1(1) + 3

multiply

f(1) = 1 - 1 + 3

subtract

f(1) = 3

Answer:because each answers eachother

Step-by-step explanation:

Answer:

64 cubes

Step-by-step explanation:

The volume of wooden box,

→ x = l × b × h

→ x = 32 × 16 × 8

→ [x = 4096 cm³]

The volume of a cube,

→ y = side³

→ y = 4 × 4 × 4

→ [ y = 64 cm³]

Now we have to,

find how many cubes can be packed inside the wooden box.

→ x ÷ y

→ 4096 ÷ 64

→ 64 cubes

Hence, the solution is 64 cubes.

Answer:

9x3 + 3x2 + 35

x2

Step-by-step explanation:

I hope this helped u

Answer:

D;the last answer

Step-by-step explanation:

The more negative a fraction or decimal, the lower that actual value.

Therefore since -1 1/5 is the lowest it should go first, and D is the only answer like this! Hope this helps ^^

Answer: -1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75

Step-by-step explanation:

    I will turn all of these numbers into numbers that are not fractions since most of the numbers are already this way.

0.75 -> 0.75

-1 -> -1

[tex]\frac{1}{2}[/tex] -> 0.5

-1 [tex]\frac{1}{5}[/tex] -> -1.2

0.25 -> 0.25

    First of all, the negative numbers are smaller than the positive numbers. Then, we can order them least to greatest by number.

-1.2, -1, 0.25, 0.5, 0.75

   Putting the numbers into what they were originally given as gives us this:

-1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75

    The answer is the last option, -1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75.

What is the average weight of the adult elephants in the exhibit? This is the correct statistical question.

Statistical question is that type of question which have more than one possible answers.

The answer of statistical question is the collection of various  points of data.

The answer of statistical question depends on variety and situations.

The answer of statistical question may be range . Answer of statistical question are more than one.

What is the average weight of the adult elephants in the exhibit?

This is the correct statistical question.

Learn more about statistical question;

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129m^2

A= bxh/2

Since I have 2 triangle I'll x 2 to get rid of the ÷ by 2

A= 13x5

= 65

A= bxh

= 8x8

=64

64 + 65= 129

Hope this helps!

Answer:

$4,014.68

Step-by-step explanation:

A = $4,014.68

A = P + I where

P (principal) = $3,000.00

I (interest) = $1,014.68

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 3,000.00(1 + 0.06/1)^(1)(5)

A = 3,000.00(1 + 0.06)^(5)

A = $4,014.68

Answer:

Runner B

Step-by-step explanation:

speed = distance ÷ time

Runner A: 1 ÷ 8 = 0.125m/ms

Runner B: 2 ÷ 10 = 0.2m/ms

Runner C: 3 ÷ 20 = 0.15m/ms

Runner D: 5 ÷ 30 = 0.17m/ms

Runner B has the highest speed so he is the fastest runner.

If the triangle has all sides of different lengths, then the triangle is considered scalene, which means it can be classified.

There isn't enough info to know if the triangle is acute, right, or obtuse.

Answer:

m<7

m is greater than 7, i hope that helps

Answer:

m<7

Step-by-step explanation:

-5+20m+3<18m+12

Group like terms

20m-18m<12+5-3

2m<17-3

2m<14

2m÷2<14÷2

m<7

hope this helps *_*

pls brainliest

First, we need to follow the circumference of a circle formula, which is [tex]C = 2 \pi r[/tex]. Since we know the radius, we can plug 11 for the radius and 3.14 for pi.

The equation should now look like this: [tex]C = 2 * 3.14 *11[/tex]. Then, we multiply. After solving, the circumference of the circle is 69.08 centimeters.

z = 7, z = -7

z² = 49

Take the square root of both sides to find what z equals

z = 7

Is that the only solution? Is 7 the only number that can be multiplied by itself and have a result of 49? No, there's another number. This number is -7.

7, -7

hope helpful ~

Answer:

7x3 = 21

Step-by-step explanation:

It's simple math. One week is 7 days. So just multiply 7x3 and then that's equaled to 21.

#1

[tex]\\ \rm\Rrightarrow \dfrac{WX}{UV}=\dfrac{HI}{FE}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{WX}{16}=\dfrac{10}{8}[/tex]

[tex]\\ \rm\Rrightarrow WX/2=10[/tex]

[tex]\\ \rm\Rrightarrow WX=20[/tex]

Again

#2

[tex]\\ \rm\Rrightarrow \dfrac{WX}{UT}=\dfrac{HI}{FG}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{20}{20}=\dfrac{10}{FG}[/tex]

[tex]\\ \rm\Rrightarrow FG=10[/tex]

Answer:

WX = 20

FG = 10

Step-by-step explanation:

If EFGHI ~ VUTXW

then:

The only pair of sides that both have measures is EF and VU

EF = 8

VU = 16

VU/EF = 16/8 = 2

Therefore, VUTXW is enlargement of EFGHI by a scale factor of 2.

As HI = 10

⇒ WX = 10 × 2 = 20

As UT = 20

⇒ FG = 20 ÷ 2 = 10

[tex]\frac{2}{1}[/tex]Answer: A.

Step-by-step explanation:

The first graph has a slope of -2/1 (down 2 and over 1). It also has a y-intercept of 3, meaning it crosses the y-axis or vertical axis at 3.

Answer:

2000 times

Step-by-step explanation:

I'm assuming you mean 4*10^3 and 8*10^6.

8*10^6/(4*10^3)

=(8/4)*(10^6/10^3)

=2*(10^3)

=2*1000

=2000 times

Answer:

$6.74

$242.78

Step-by-step explanation:

A

$53.95 ÷ 8 = $6.74

B

3 × 12 = 36

36 ÷ 8 = 4.5

4.5 × 53.95 = 242.775

$242.78

Answer:

B. the spring has a length of 1 inch when no force is applied

Step-by-step explanation:

Answer:

the last guy who answered is correct

Step-by-step explanation:

sorry I needed to answer for more answers I can get

Answer:

the ratio for the 12 sunfish and the 30 rainbow shiners is 12:30

Step-by-step explanation:

umm i think