1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nataly [62]
2 years ago
5

Pyramid A has height 5 1/2, and Pyramid B has height 2 3/4. A and B are similar. What is the ratio of their:

Mathematics
1 answer:
N76 [4]2 years ago
5 0

Answer:

Lateral areas have ratio of 4:1

Volumes have ratio of 8:1

Step-by-step explanation:

There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of a:b, the ratio of any surface area type measure is always a^2:b^2 this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of a^3:b^3\\.

Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of \frac{5\frac{1}{2} }{2\frac{3}{4} } which if you simplify it, it is \frac{5.5}{2.75}, which is 2. The ratio of the heights are 2:1.

Now we can apply those rules to this ratio, the ratio of lateral areas would then be 2^2:1^2, which is 4:1. the ratio of volumes would be 2^3:1^3, which is 8:1

You might be interested in
ΔABC will undergo two transformations to give ΔA′B′C′. Which pair of transformations will give a different image of ΔABC if the
Marta_Voda [28]
<span>a rotation 90° counterclockwise about the origin followed by a reflection across the y-axis</span>
4 0
3 years ago
Kylie and Ethan have each saved some money. I’m their savings, each coin is worth leas then 50 cents and each bill is less then
timofeeve [1]

Answer:

Kylie could have a $5 bill and seven quarters while Ethan could have two $1 bills and forty pennies.

Step-by-step explanation:

Since Kylie has seven quarters, that is seven multiplied by the value of the quarter, a quarter is 25 cents. So 7 x 25 = 125 OR $1 and 25 cents. Leaving Kylie with a total of $7 and 25 cents with the addition of the $5 bill.

Ethan has two $1 bills and forty pennies, forty multiplied by the value of the penny, a penny is 1 cent. So 40 x 1 = 40 OR 40 cents. Leaving Ethan with $2 and 40 cents with the addition of the two $1 bills from earlier.

Ethan has more bills and coins than Kylie and yet still has less money than Kylie.

7 0
3 years ago
Samuel needs 233 feet of wood to build a fence. The wood comes in lengths of 11 feet. How many total piece of wood will Samuel n
mezya [45]
2563 beause 233×11=2563 pieces of wood
4 0
3 years ago
Lemon drops and jelly beans are mixed to make a 100 pound mix. if the lemon drops cost $1.90 per pound and jelly beans cost $1.2
vladimir1956 [14]

L = lemon drops

J = jelly beans

L +J = 100

L=100-J

1.90L + 1.20J=1.48*100

1.90(100-j) +1.20J =148

190-1.90J+1.20J=148

190-0.7J=148

-0.7J=-42

J = 60

L=100-60 = 40


40 pounds of Lemon Drops are needed

4 0
3 years ago
A/n _______ is a quadrilateral that has two pairs of congruent sides and two pairs of parallel sides.
gogolik [260]
I’m guessing a parallelogram
4 0
3 years ago
Other questions:
  • 1. If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter o
    8·1 answer
  • Factor the GCF: −6x3y + 9x2y2 − 12xy3
    13·2 answers
  • How many solutions does the equation have 4x + 3=2(2x +9)
    13·1 answer
  • Write the equation of a line parallel to the line:<br> y=-x-4<br> that goes through the point (-9,8)
    7·1 answer
  • 1. 2 |-9| <br> 2. 4 |-4| <br> 3. 1 |1| <br> 4. 11 |11| <br> 5. 9 |-2|
    7·1 answer
  • Here is an interesting exponential function,
    5·1 answer
  • Identify the percent of change as an increase or a decrease. 9 points to 4 points
    11·1 answer
  • Nadia is ordering cheesecake at a restaurant, and the server tells her that she can have up to five toppings: caramel, whipped c
    10·2 answers
  • Rohan makes $86,534.25 a year. How much will he pay in Social Security and Medicare taxes this year?
    7·2 answers
  • What’s the value of x?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!