Two similar pyramids have similarity ratio 3:5 find the ratio of the areas and the ratio of the volume

The prime factorization of 384 = 2^7 * 3.

So in order to make it a perfect square, you must multiply it by 2*3 = 6 to make is 2^8 * 3^2.

Answer:

-31  

Step-by-step explanation:

2x - abs(4 - 7x)

2x = 2 * - 3 = - 6

4 - 7x = 4 - 7*-3 = 4 + 21 = 25

-6 - abs(25)

-6 - 25 = -31

You should note three things.

1. the absolute value of 25 is 25

2. There is a - sign outside the influence of the 25 so 25 becomes - 25

3. - 6 - 25 = - 31

Answer:

12

Step-by-step explanation:

Add 10l to 12l to13l to11l to 14l=60l the divide 60l by the number of houses which will be 12 and there is your correct answer

Answer:

16

Step-by-step explanation:

If the teacher had 23 but then 7 had to go away for a trip, then all you do is subtract 23 and 7:

23-7= 16

Thus, the teacher had 16 students that day after the 7 went away.

Answer:

(2,7/2)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(-4+8) /2 = 4/2 =2

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(2+5) /2 = 7/2 =

The midpoint is (2,7/2)

Answer:

(2, [tex]\frac{7}{2}[/tex])

Step-by-step explanation:

Hi there!

We want to find the midpoint of (-4,2) and (8,5)

To do that, we'll use the midpoint formula, which will find the midpoint using the formula ( [tex]\frac{x_1+x_2}{2}[/tex],[tex]\frac{y_1+y_1}{2}[/tex]), where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion

[tex]x_1[/tex]=-4

[tex]y_1[/tex]=2

[tex]x_2[/tex]=8

[tex]y_2[/tex]=5

Now substitute those values into the formula and solve

To find the value of the x-coordinate of the midpoint, use [tex]\frac{x_1+x_2}{2}[/tex]

x=[tex]\frac{-4+8}{2}[/tex]

Add the numbers together on the numerator

x=[tex]\frac{4}{2}[/tex]

Divide

x=2

The value of the x-coordinate is 2

Now find the value of the y coordinate by using [tex]\frac{y_1+y_1}{2}[/tex]

y=[tex]\frac{2+5}{2}[/tex]

Add the numbers together on the numerator

y=[tex]\frac{7}{2}[/tex]

So the point is (2, [tex]\frac{7}{2}[/tex])

Hope this helps!

Answer:

c =4 4/9 minutes

Step-by-step explanation:

The formula is

1/a + 1/b = 1/c  where a and b is the time for each working alone and c is the time working together

1/8 + 1/10 = 1/c

Multiply by 40c to clear the fractions  ( 40c is the least common multiple)

40c(1/8 + 1/10 = 1/c)

5c + 4c = 40)

9c = 40

Divide by 9

9c/9 = 40/9

c =4 4/9 minutes

Answer:

4/5 of the wall

Step-by-step explanation:

In 1/4 of an hour, 1/5 of the wall is painted. That means that

in 4/4 of an hour (which is an hour), 4/5 of the wall is painted.

4/5 is your answer

Answer:

c

Step-by-step explanation:

just look at 11 1/4, which is equals to 11 2/8. she recorded 3, and c is the only one which corresponds :) lmk if im wrong tho, the picture is kind of blurry

Answer:

I am not sure but it may be option c .

Step-by-step explanation:

I chose option c because in parallelogram the opposite sides are parallel .

9514 1404 393

Answer:

  38.27 feet

Step-by-step explanation:

The perimeter is the sum of the side lengths. The curved side is half the circumference of a circle with diameter 11 feet.

  P = 5 + 11 + 5 + (1/2)π(11)

  P = 21 + 5.5(3.14) = 38.27 . . . feet

__

The circumference of a circle is ...

  C = πd . . . for diameter d

a + 1/b = 5

b + 1/c = 12

c + 1/a = 13

manipulating the first line by subtracting 1/b on both sides

a = 5 - 1/b

manipulating the 3rd line by subtracting 1/a on both sides.

c = 13 - 1/a

plugging a into this

c = 13 -1/(5 -1b)

c = 13 -5 +1/b

c= 8 + 1/b

plugging c into the 2nd line

b + 1/(8 +1/b) = 12

b + 1/8 + b = 12

2b + 1/8 = 12

devide both sides by two

b + 1/16 = 6

b = 11 + 15/16

plugging the value for b into the first line to get a

a + 1/(11 + 15/16) = 5

a + 1/11 + 16/15 = 5

a + 15/165 + 176/165 = 5

a + 191/165 = 5

a = 5 + 191/165

a = 1016/165

plugging b into the 2nd line to get c

11 + 15/16 + 1/c = 12

1/c = 1/16

multiply by c on both sides

1 = 1/16c

multiply by 16 on both sides

16 = c

Answer:

3:15 hours

Step-by-step explanation:

i don't know I just took the test

Answer:

4.75 or 4 3/4

Step-by-step explanation:

rate = distance/time

Multiply both sides by time:

time * rate = distance

Divide both sides by rate:

time = distance/rate

We are given:

distance = 76 km

rate = 16 km/h

time = ?

time = distance/rate

time = 76 km/(16 km/h)

time = 4.75 h = 4 3/4 h

Answer:

see explanation

Step-by-step explanation:

Given

(a)

3x + 2y - 8 = 0 ( subtract 3x - 8 from both sides )

2y = - 3x + 8 ( divide the terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x + 4

(b)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{3}{2}[/tex] x + 4 ← is in slope- intercept form

with slope ( gradient) m = - [tex]\frac{3}{2}[/tex] and

(c)

c = 4

That is crosses the y- axis at (0, 4 )

Answer:

The 3rd dot and 4th dot, you should select to get the correct answer.

Answer:

please

Step-by-step explanation:

follow me

please

please

please

Hi there!

[tex]\large\boxed{b = \frac{a}{ac - 1}}[/tex]

We can begin by making each fraction have a common denominator:

If we make each have a common denominator of ab, we get:

[tex]\frac{b}{ab} + \frac{a}{ab} = c[/tex]

Simplify:

[tex]\frac{a + b}{ab} = c[/tex]

Multiply both sides by ab:

[tex]a + b = cab[/tex]

Move b to the opposite side:

[tex]a = cab - b[/tex]

Factor out b:

[tex]a = b(ac - 1)[/tex]

Divide by (ac - 1):

[tex]\frac{a}{ac - 1} = b[/tex]

Answer:

24.56 minutes

Step-by-step explanation:

68,700 - (625 * x) = 53,350

We subtract 53,350 from both sides

15,350 - (625 * x) = 0

625x = 15350

x = 15350/625

x = 24.56

He needs to wait 24.56 minutes to get his car.

Answer:

3x² + 2x - 9 = 0

Step-by-step explanation:

Standard form of a quadratic: ax² + bx + c

Move all terms to one side of the equation:

[tex]3x^2-9=-2x\\3x^2-9+2x=-2x+2x\\3x^2+2x-9=0[/tex]

Answer:

x=50

Step-by-step explanation:

Look at the triangle as a whole. This is a 30-60-90 triangle by speculation. You can see that the hypotenuse is equal to 100. By using sine (you can use cosine as well) , you get the expression, "(sin 30 degrees) = x/100" since sin is the opposite side over the hypotenuse. Do some basic trigonometry to get "1/2 = x/100". By now, you should know that 50/100 is the same as 1/2.

Answer:

[tex] \frac{21}{4} + \frac{35}{8} \\ = \frac{77}{8} \\ = 9 \frac{5}{8} [/tex]

Answer:

d. Cannot be determined with the information provided.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Finding the better relative position:

The score with the better relative position is the one with a higher z-score.

To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.

Answer:

$185 in commisions

Step-by-step explanation:

600 - 415 = $185

Answer:

6,166.666$ in total sales

Step-by-step explanation:

I. 600$, If 415$ is his earnings then 185 is commision [600 - 415 = 185]

II. Find 3% so 3/100 = 185/x

             3x = 18,500

               x = 6,166.666

Hope it help :)

Answer:

∠CBA

Step-by-step explanation:

Answer:

<CBA

Step-by-step explanation:

The vertex has to be in the middle

<CBA

<ABC

or we can name it with just the vertex

<B

Answer:

1) first book can be at any of 4 places

2) Second book can be on any of leftover 3 places

3) Similarly third book on 2 and forth on 1 place

total : 4 * 3*2 * 1 = 24 ways .

other way we have formula 4!/1! =24 , here ordering is important

It is called arrangement or permutations, while if you need to group some objects it is called combination and there we need to consider unique groups only.

example if you need to choose 2 friends for a party out of 4 friends ,

answer will be 4!/2!*2! = 6 groups. (Ordering doesn’t matter hence division)

hope it hleps

PLEASE MARK BRAINLIEST

Linear equation is the equation of a straight line.

Forms of a linear equation

The forms of a linear equation are:

Slope intercept form

From the slope intercept form, one can easily deduce the slope and the y-intercept of the linear equation

Point slope form

From the point-slope form, one can easily deduce the slope and the points of the graph of the linear equation

Standard form

From the standard form, the values of x and y can be easily calculated.

Hence, the usefulness of having different forms of linear equation is that they all serve different purposes, even through they represent the same graph.

Read more about linear equations at:

https://brainly.com/question/17895632

Answer:

m(∠C) = 18°

Step-by-step explanation:

From the picture attached,

m(arc BD) = 20°

m(arc DE) = 104°

Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.

m(∠C) = [tex]\frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}][/tex]

Since, AB is a diameter,

m(arc BD) + m(arc DE) + m(arc EA) = 180°

20° + 104° + m(arc EA) = 180°

124° + m(arc EA) = 180°

m(arc EA) = 56°

Therefore, m(∠C) = [tex]\frac{1}{2}(56^{\circ}-20^{\circ})[/tex]

m(∠C) = 18°

Answer:

Net change in money: decrease of $5

Step-by-step explanation:

supposing Jacob started with x dollars:

He gained $80 from babysitting: x+80

Lost 85: x + 80 - 85

--> x - 5

Therefore, at the end of the week, Jacob lost 5 dollars

Answer:

7

Step-by-step explanation:

4/8 = 1/2

3/8 is less than 1/2 so round down

7 3/8 rounds to 7

Answer:

7

Step-by-step explanation:

7 3/8 = 7.375

The closest whole number is 7

Answer from Gauthmath

Answer:

1320

Step-by-step explanation:

Use the formula for sum of series, s(a) = n/2(2a + (n-1)d)

The terms increase by 6, so d is 6

a is the first term, -56

n is the terms you want to find, 33

Plug in the numbers, 33/2 (2(-56)+(32)6)

Simplify into 33(80)/2 and you get 1320