Pyramid A with height 8 has lateral edges of length 10. Pyramid B with height 12 has lateral edges of 15. Both A and B are regular square pyramids. What is the ratio of the heights of the pyramid?

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4x^2 - 16x = 0}\\\large\text{FACTOR the LEFT SIDE of the given equation.}\\\mathsf{\rightarrow 4x(x - 4) = 0}\\\large\text{After step 1 is complete, set the factors to equal to 0.}\\\mathsf{\rightarrow 4x = 0\ or\ x - 4 = 0}\\\larg\text{Lastly, you have to SIMPLIFY new equations you have now.}\\\mathsf{\rightarrow x = 0\ or\ x = 4}\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = 4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]

Step-by-step explanation:

Given that,

Height = 14 m

Radius = 2 m

Let V be the volume of a right circular cone

We need to calculate the value of R

Using given data

[tex]\dfrac{h}{r}=\dfrac{h-y}{R}[/tex]

Put the value into the formula

[tex]\dfrac{14}{2}=\dfrac{14-y}{R}[/tex]

[tex]7R=14-y[/tex]

[tex]R=2-\dfrac{y}{7}[/tex]

We need to calculate the area of a horizontal cross section at a height y

Using formula of area

[tex]A=\pi R^2[/tex]

Put the value into the formula

[tex]A=\pi\times(2-\dfrac{y}{7})^2[/tex]

Hence, The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]

The area of the circular cone at height y can be derived as a function, A,

having y as the input variable.

Correct response:

[tex]Area \ of \ horizontal \ cross \ section \ at \ height \ y \ is \ \underline{ A = \pi \times \dfrac{\left(14 - y\right)^2}{7} }[/tex]

The given parameters are;

Shape of figure = Right circular cone

Height of the cone, h = 14

Base radius, R = 2

Required:

The area of a cross section at a height y using similar triangles

Solution:

We have using similar triangles;

[tex]\mathbf{\dfrac{h}{h - y} }= \dfrac{R}{r} [/tex]

Which gives;

[tex]\mathbf{\dfrac{14}{14 - y}} = \dfrac{2}{r} [/tex]

Therefore;

2·(14 - y) = 14·r

28 - 2·y = 14·r

[tex]r = \dfrac{28 - 2 \cdot y}{14} = 2 - \dfrac{y}{7} [/tex]

The horizontal cross sectional area, A = π × r²

Therefore;

[tex]Area \ of \ the \ cross \ sectional \ area,\ A = \pi \times \left(2 - \dfrac{y}{7} \right) = \underline{ \pi \times \dfrac{\left(14 - y \right)^2}{7} }[/tex]

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Answer: it is neither

Answer:

11.05$

Step-by-step explanation:

Given the wholesale price of pillow is $6.50

Price in department store is 70% more than whole sale =1.7 times the wholesale

Price in department store =1.7*6.5=$11.05

Answer: 33.6

60 x 56 divided by 100 is 33.6

Answer:

[tex]=8\left(2a+9\right)[/tex]

Step-by-step explanation:

[tex]16a+72[/tex]

[tex]\mathrm{Rewrite\:}16\mathrm{\:as\:}8\cdot \:2[/tex]

[tex]\mathrm{Rewrite\:}72\mathrm{\:as\:}8\cdot \:9[/tex]

[tex]=8\cdot \:2a+8\cdot \:9[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}8[/tex]

[tex]=8\left(2a+9\right)[/tex]

Hence, the correct answer is  [tex]=8\left(2a+9\right)[/tex]

Answer:

8(2a+9)

Step-by-step explanation:

Hope this helps

Answer:

39

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let length of side = x

area = x²

so x² = 225 = 15²

then x = 15 units

Answer:

Formula for area of square;

A = a^2

where a represents the length of one side of the square, so;

A = a^2

given that the total area is 225,

225 = a^2

√225

= 15

Answer:

The number of small bags that Lucy can use with having an even amount of can't in them is hundred and eighty six bags were each bag has two pieces of candy.

Step-by-step explanation:

372 ÷ 2 = 186

Therefore

372 ÷ 186 = 2

two candies in each bag means 186 bags of candy.

Answer:

Slope is 0

Step-by-step explanation: x stood the same so therefore the slope is 0 or infinite

Answer:

Step-by-step explanation:

Given the expression 4x+2 = 8X-5. To find the value of x, we need to follow the steps;

Sep 1:

Add 5 to both using addition property to move 5 to both sides

4x+2+5= 8x-5+5

4x+7 = 8x

Step 2:

Collect like terms

4x-8x = -7

-4x = -7

Step3:

Divide both sides by -4

-4x-4 = -7/-4

x = 7/4

Answer:

(4,5)

Step-by-step explanation:

Answer:

28

With the mean, you have to add up the scores and subtract by the total values.

The only score number I know of is 20, so I just added up the values.

Hope this helps, let me know.

Answer:

11 and 22

Step-by-step explanation:

x + y = 33

y = 2x

x + 2x = 33

3x = 33

x = 11

Answer:

55

Step-by-step explanation:

Answer:

$245

Step-by-step explanation:

The hourly pay that Elsa earns is 140/20 = $7 per hour

So, the total pay that Elsa will earn for 35 hours is 7*35 = $245

Answer:

1. 6

2. -8

3. -4

4. 26

Step-by-step explanation:

yk how it's done

Answer:

f(-3)=6-2x is f(-3)=6-2(-3) this equals f(-3)=12

B f(0)=6

C f(4)= -2

Step-by-step explanation:

Bacisly you would just have to sub in the x portion of your problem. Then you can solve like normal

A function is a relationship between inputs where each input is related to exactly one output.

The value of f(-3) is 12

The value of f(0) is 6

The value of f(4) is -2

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 6 - 2x

Substitute x = -3, 0, and 4 on f(x).

f(-3) = 6 - 2 x (-3) = 6 + 6 = 12

f(0) = 6 - 2 x 0 = 6 - 0 = 6

f(4) = 6 - 2 x 4 = 6 - 8 = -2

The inputs are -3, 0, and 4.

The outputs are 12, 6, and -2.

Thus,

The value of f(-3) is 12

The value of f(0) is 6

The value of f(4) is -2

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Answer:

1/5(x-1)

Step-by-step explanation:

cancel x-1

then we get

1/5(x-1)

If not understand comment below.

Answer:

1,600

Step-by-step explanation:

did the math and this is what i got

Answer:

[tex]part \: a. \\ t = 300+300(13) = 300+300C = \\300 + 3,900 = 4,200 \\ t = 4,200[/tex]

[tex]part \: b. \\ 3300 = 300+300(c) \\ 3300 - 300 =300(c) \\ 3000 \div 300 = c = 10 \\ c = 10[/tex]

a.

The tuition cost for 13 credits is

= 300 + 300C

= 300 + 300 (13)

= 300 + 3900

= 4,200 dollars.

b.

And, the number of credits is

$3,300 = 300 + 300C

$3,300 - 300 = 300C

$3,000 = 300C

C = 10 credits

Therefore we can conclude that

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Answer:

5 pounds 14 pence

50 -19= 31

Step-by-step explanation:

Answer:

135 because if you put it in a caluclator that is what you get

Answer:

f(g(x)) = 7x + 27

Step-by-step explanation:

We have, f(x) = 7x+13 and g(x) = x+2.

So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,

i.e. f(g(x)) = f(x+2)

i.e. f(g(x)) = 7 × (x+2) + 13

i.e. f(g(x)) = 7x + 14 + 13

i.e. f(g(x)) = 7x + 27

Thus, f(g(x)) = 7x + 27

Answer:

(4^2) -10

16- 10

= 6

Step-by-step explanation:

the square of 4 is 16 so you'll subtract 10 from it and it will be left with 6

Answer:

m=1/1 or just 1, b=(0,3.5) equation:y=x+3.5

Step-by-step explanation:

The pattern is as x increases by 1, so does y by the same amount, 1. This means the line is at a 45 degree angle increasing vertically and horizontally at the same pace. However, it is moved up 3.5 units in the y direction because when x=0, y=3.5

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

We have

w² - 2w = w² - 2(w)(1)

We must add 1²

w² - 2(w)(1) + 1² = (w - 1)²

The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.

A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square. 25 is a natural number, and since there is another natural number 5, such that 52 = 25, 25 is a perfect square.

Here, we have,

(a - b)² = a² - 2ab + b²

We have

w² - 2w = w² - 2(w)(1)

We must add 1²

w² - 2(w)(1) + 1² = (w - 1)²

Hence, The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.

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Step-by-step explanation:

[tex]3\left(x-4+1\cdot \:b\right)=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3\left(x-4+1\cdot \:b\right)}{3}=\frac{8}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x-4+b=\frac{8}{3}[/tex]

[tex]\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}[/tex]

[tex]x-4+b-b=\frac{8}{3}-b[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x-4=\frac{8}{3}-b[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]x-4+4=\frac{8}{3}-b+4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-b+\frac{20}{3}[/tex]

[tex]\\ \rm\Rrightarrow 3(x-4+b)=8[/tex]

[tex]\\ \rm\Rrightarrow 3x-12+3b=8[/tex]

[tex]\\ \rm\Rrightarrow 3x+3b=20[/tex]

[tex]\\ \rm\Rrightarrow x+b=20/3[/tex]

[tex]\\ \rm\Rrightarrow x=20/3-b[/tex]