2 similar rectangular pyramids have a similarity ratio of 4:5. What is the ratio of their volumes? Put your answer in the form a:b

Answers

Answer 1

Answer:

64:125

Step-by-step explanation:

When you go from a length ratio to an area ratio you need to square the numbers involved: [tex]4^{2} :5^{2}[/tex] = 16 : 25

By the same logic, if you want to go from length to volume you need to cube the numbers involved: [tex]4^{3} :5^{3}[/tex] = 64 : 125


Related Questions

what is the slope this? please help thanks​

Answers

Answer: the area of the X???

Step-by-step explanation:

the slope is 1/4

because it goes across by 4 and up by 1

the perimeter of a room is 98 feet. If the room is a rectangle with a width of 22 feet, what is the length of the room in yards?

Answers

Answer:

98 = 2x + 2(22)

Step-by-step explanation:

Let x be the length of the room. Using P = 21 + 2w or the formula for the perimeter of a rectangle, with the perimeter equal to 98 and the width equal to 22, then

98 = 2x + 2(22)

HELP!!!
Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
I'm confused.

Answers

$8,966.02 is your answer

The coordinates of the vertices of are E (-4, 5), F (-1, 1), and G (3, 4). Determine whether EFG is a right triangle and support your decision. Show all work.

Answers

Answer:

No, it will not be a right triangle

Step-by-step explanation:

Since E (-4, 5) and F (-1, 1) are both in-plane one and G (3, 4) in-plane two

The x's are wrong for E and F which would be a cause for not a right triangle

And the y for G is not either 5 or 1 which would help make the triangle a right triangle.

So the triangle ends up being an scalene triangle and not a right triangle

Hopes this helps :)

In ΔJKL, j = 10 in., k = 7 in., and l = 6.58 in. Find m∠J.

A. 38º
B. 95º
C. 44º
D. 25º

Answers

Answer:

  B.  95°

Step-by-step explanation:

Given the three sides of a triangle, the Law of Cosines can be used to find any of the angles.

__

  j² = k² +l² -2kl·cos(J) . . . . . law of cosines applied to this triangle

  J = arccos((k² +l² -k²)/(2kl)) . . . . . solve for angle J

  J = arccos((7² +6.58² -10²)/(2·7·6.58)) = arccos(-7.7036/92.12)

  J ≈ 94.797° ≈ 95°

The measure of angle J is about 95°.
_____

Additional comment

Angle J is opposite side j, which is the longest side. That means angle J is the largest angle in the triangle. The largest angle of the triangle can never be less than 60°. Only one answer choice qualifies. (No computation is necessary.)

PLS HELP I WILL GIVE BRAINIEST If triangle BCD were rotated over the y-axis from point (0, 0), what would be the coordinates of the new triangle's vertices?


A. (0, -1) , (-4, -3), (-2, -1)
B. (-1, 0), (-5, -2), (-3, 4)
C. (1, 0), (5, 2), (3, 0)
D. (1, 0), (1, -2), (-3, -4)

Answers

The answer would be B

The coordinates of the new triangle's vertices are (0, -1), (-4, -3), and

(-2, -1). Hence option A is true.

Used the rule of a point (x, y) when rotated over the y-axis of 90° clockwise rotation from point (0, 0),

(x, y) → (y, - x)

Given that the triangle BCD is shown in the image.

Here, the coordinates of the vertices of BCD are,

B = (1, 0)

C = (3, - 4)

D = (1, - 2)

Now apply the rotation rule, the coordinates of the new triangle's vertices are;

B' = (0, - 1)

C' = (- 4, - 3)

D' = (- 2, - 1)

Therefore, the option A is true.

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Keisha collects vintage glass marbles. Her favorite marbles have a diameter of 2.5 centimeters each. She keeps 66 of her favorite marbles in a pouch. One cubic centimeter of glass has a mass of 2.6 grams. What is the mass of the marbles in Keisha’s pouch rounded to the nearest gram? Use 3.14 for π

Answers

Answer:

Im pretty sure the guy above me is right

Step-by-step explanation:

A triangle has sides with lengths of 30 millimeters, 40 millimeters, and 48 millimeters. Is it a
right triangle?
yes
no

Answers

Answer:

No, because a right angle must not have the least 90°/. degrees c

Reciprocal of 1/y where y not equals to 0

Answers

Answer:

y (y/1)

Step-by-step explanation:

the reciprocal of a number is basically what it needs to multiply to to equal to one

so basically you flip the numbers

1/y s reciprocal would be y/1 which is also just y

Answer: y

Step-by-step explanation:

Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 10,000 shares at $5.50 per share. Stock B opens on Monday with 8000 shares at $6.25 per share. Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?

A. 5.6%
B. 5.9%
C. -5.6%
D. -5.9%​

Answers

Answer:

sorry but I do know that it is A or B hope this helps.

The rate of change of the given simple index over 1 day is -0.9%.

What is rate of change?

When something has a constant rate of change, one quantity changes in relation to the other.

Given that;

Stock A opens on Monday with 10000 shares at $5.50 per share.

Stock B opens on Monday with 8000 shares at $6.25 per share.

Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share.

Total value of the simple index at Monday is;

= (10000×5.50) + (8000×6.25)

= 55,000 + 50,000

= 105,000

The total value of the simple index at Tuesday is;

= (10000×5.80) + (8000×6.65)

= 58,000 + 53,200

= 111,200

The rate of change of this simple index over 1 day is;

= (111,200-105,000)/(10000-8000) -1

= 6,200/2000 - 1

= 3.1 - 1

= 2.1

Hence, the rate of change of the given simple index over 1 day is -0.9%.

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PLEASE HELP ASAP KING OF BRAINLY WORLD OR ANY ONE WILL GIVE 25 POINTS​

Answers

Answer:

(10,7)

Step-by-step explanation:

4x -3y = 19

2x-3y = -1         <======= multiply this equation by - 2

-4x + 6y = 2     <======= now add this to the top equation

      3y = 21         <=====   y = 7  

                                use this value in one of the equations to find x = 10

Kevin is making 8 centerpieces for a party. In each centerpiece, of an ounce of flower food is used. How many ounces of flower food are used in the 8 centerpieces?

Answers

8 ounces of flower food.

The cost of a kayak is $2,450 and the selling price is $3,560 find the nearest percent of markup on the selling price. round to the nearest tenth of a percent.

Answers

well, the markup or the bumped up amount is 3560 - 2450 = 1110.

if we take 2450 to be the 100%, what is 1110 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 2450 & 100\\ 1110& x \end{array} \implies \cfrac{2450}{1110}~~=~~\cfrac{100}{x}\implies \cfrac{245}{111}~~=~~\cfrac{100}{x} \\\\\\ 245x=11100\implies x=\cfrac{11100}{245}\implies x\approx 45.3[/tex]

The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.
Give an exact answer in terms of 7, and be sure to include the correct unit in your answer.
Length of minor arc OR :

Answers

Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.

What is the Length of an Arc?

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]

where

θ is the angle, that which arc creates at the centre of the circle in degree.

Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,

The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m

Hence, the length of the arc m∠QPR is 2.8334π m.

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Billy has been on a diet for
22
weeks. He has averaged a loss of
0.73
pounds each week.

How many total pounds has Billy lost?

Answers

tanong mo sa ate mo baka alam nya

Answer:

16.06 lbs

Step-by-step explanation:

I believe, I did~ 0.73x22

Please help, it’s due tomorrow

Answers

Answer:

The largest interger that satisfies the equation is 3

Step-by-step explanation:

If we subtract 10 from each side, we get 7x<=21

Then, we divide 7 on each side to get x<=3.

So the largest interger to satisfy the equation is 3

(Btw, <= means less than or equal to)

Hope this helped you, and have a great day!

Answer:

x<=3

Step-by-step explanation:

minus 10 fom both sides

7x + 10-10<=31-10

restate as

7x<=21

divid both side by same factor

7x/7 and 21/7

restate as

x<=3

Evaluate f(x) = x + 8 when x = -3, 0, and 5.

Answers

Answer:

[tex]f(-3) = -3 + 8 \\= 5\\f(0) = 0 + 8 \\= 8\\f(5) = 5 + 8 \\= 13[/tex]

Step-by-step explanation:

All we need to do is plug in the x-values.

if

[tex]f(x) = x + 8[/tex]

then

[tex]f(-3) = -3 + 8 \\= 5\\f(0) = 0 + 8 \\= 8\\f(5) = 5 + 8 \\= 13[/tex]

hope this helped!!

How do I find the difference -6 - (-9)
Pls explain how I can do negatives and positives numbers

Answers

Answer:

Step-by-step explanation:

-6 - (-9)

1) Remove parentheses

-6 + 9

2) Simplify

3

See attachted image for rules of positive and negative integers.

Source: YourDictionary

What is the value of log4 superscript 16?
1
2
4
8​

answer ASAP

Answers

The value of log4 superscript 16 is 2

The marked price of a fan is Rs. 1800. If a shopkeeper allows a discount of 10% and still makes a profit of 20%, at what price had the shopkeeper bought the fan?​

Answers

The shopkeeper had brought the fan at Rs.1350

(see image) please help i give brainlist What will the equation be if the following equation is translated 5 units right and 6 units down?

Answers

Answer:

The equation is

g(x) = (x+5)² - 6

PLEASE HELP!!! 25 POINTS!!
Simon builds this podium on a platform.


What is the combined volume of the podium and the platform?


Enter your answer in the box.

Answers

96 just spilt up the shape into two and find the volume of each

Give the MOST specific name for the figure shown. A) parallelogram B) quadrilateral C) rhombus Eliminate D) trapezoid

Answers

Answer: C

Step-by-step explanation:

Because there are two pairs of opposite parallel sides, it is a parallelogram.

Since the diagonals intersect at a right angle, the parallelogram is also a rhombus.

For function f(x), which pair of limits would verify the existence of a vertical asymptote at x = –1?

Answers

This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:

[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]

Limit of a function

For the limit of a function to be continuous at a point x = a, the left hand limit of the function must be equal to the right hand limit.

Mathematically, the expression below must be true

[tex]\lim_{x \to a^+} a_n = \lim_{x \to a^-} a_n =f(c)[/tex]

This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:

[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]

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In a pet store there are a total of 25 animals 15 of the animals are dogs term is the ratio of animals that are not dogs to the total animals in the store explain the reasoning
for your answer

Answers

Answer:

25.15

Step-by-step explanation:

the 25 comes before the 18 in the sentence. super easy

if 110% of a number is 528, then the number is:
a) 475.2
b) 52.8
c) 480
d) 580.8
e) 475

Answers

Answer:

c) 480

Step-by-step explanation:

Any percentage can be converted to a number ratio by dividing by 100%.

E.g. 100%/100% = 1

Following this concept, we can find the equivalent of 110% :

110%/100% = 1.1

Since 528 is 1.1 times the number we are looking for, we just need to divide 528 by 1.1 to find our number. This is because 1.1/1.1 = 1

528/1.1 = 480

Hope this helped!

( I will give brainlist ) Help its A Math Problem !!! Determine if the following table is linear, exponential or quadratic. Then write the equation that represents the function.

Answers

Answer:

Linear

Step-by-step explanation:

X = X + 1

Y= Y *3

A table of data is linear if there is a constant average rate of change between all pairs of points

There is because X is being added one every time and Y is being multiplied by 3 every time.

Hope this helps!

The longest game in baseball history lasted eight hours and 25 minutes between the Pawtucket Red Sox in the Rochester Red Wings convert this time to seconds

Answers

Answer:

  30,300 seconds

Step-by-step explanation:

There are 60 minutes in each hour, and 60 seconds in each minute. The total time is found by multiplying by the appropriate conversion factor.

__

minutes in the hours

The 8 hours each have 60 minutes, so the total number of minutes in 8 hours is ...

  (8 h) × (60 min/h) = 480 min

seconds in the minutes

The total number of minutes is 25 more than the number of minutes in the hours:

  480 min + 25 min = 505 min

These each have 60 seconds, so the total number of seconds is ...

  (505 min) × (60 s/min) = 30300 s

The game lasted 30,300 seconds.

please help me!! i'll give brainliest if it's answered w work !!!! thank u im failing this class

Answers

Answer:

the correct answer is C her puppy weighted 20 pounds

What is the value of x in this figure?
O x= 30
O x = 40
O x = 60
O I don't know.

Answers

Answer:

i guess you know its 40 now. :p

Step-by-step explanation:

X=40

Angle sum of line is 180 degrees. So 100 plus the angle right below it should be 80.

Then that 80 angle + 60 and the x should total 180

So x=40
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