Answers
Given that the solids are similar, we have:
1. 5/3
2. 4/25
3. 512/13,824
What is the Volume and Surface Area of Similar Solids?If two solids have a surface area of A and B respectively, and a and b are their respective corresponding linear measures, the following ratio would be true for the similar solids:
Surface area for A/Surface area for B = a²/b².
Volume for A/Volume for B = a³/b³.
1. If the two pyramids are similar, therefore:
Ratio of the height of larger to the smaller pyramid = √(525/189) = √(25/9)
Ratio of the height of larger to the smaller pyramid = 5/3
2. Ratio of the linear measure of the smaller prism to the larger prism = ∛(24/375)
= ∛(8/125) = 2/5
Ratio of their surface area = 2²/5²
Ratio of their surface area = 4/25.
3. Ratio of the volume of the smaller cyinder to that of the larger = 8³/24³
= 512/13,824
Learn more about similar solids on:
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Related Questions
Given the spinner below in which all regions are equal, which of the following point scales would result in a favorable game? a spinner is divided into 4 equal sections. each section is a different color and is labeled 1 through 4. red is 1; 2 is blue; 3 is green; 4 is yellow. the odd numbered regions will add one point. the even numbered regions lose one point. red will add one point. any other color will lose one point. a number less than or equal to 3 will add one point. a 4 will lose two points. odds will add a point value equal to the number on the space. evens will lose a point value equal to the number on the space.
Answers
The correct option is C: A number less than or equal to 3 will add one point and A.4 will lose two points.
Given the spinner below in which all regions are equal, which of the following point scales would result in a favorable game
Therefore a spinner is divided into 4 equal sections.
What is the favorable game?
A favorable game is one in which, loosely speaking, there are opportunities for favorable bets.
each section is a different color and is labeled 1 through 4.
red is 1; 2 is blue; 3 is green; 4 is yellow.
The odd-numbered regions will add one point.
The even-numbered regions lose one point.
red will add one point.
any other color will lose one point. a number less than or equal to 3 will add one point.
Therefore the option a and c is correct
C: A number less than or equal to 3 will add one point.
A.4 will lose two points.
Edge
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Answer:
A number less than or equal to 3 will add one point.
A 4 will lose two points.
Step-by-step explanation:
The answer above is correct.
Find the odds agasinst getting a number less than 4
Answers
Answer:
3 out of 4 I think
Step-by-step explanation:
because the total amount is 4 so there's a 3/4 chance youll get less than 4
Scott received a score of 91, 85, and 89 on three tests. What score must Scott get on the fourth test to have an overall average score of 90
Answers
Answer:
95
Step-by-step explanation:
So if you wanted to figure the average of the 3 tests, you would add 91+85+89 to get 265 & then divide by 3 tests to get an average of 88.
So that means for four tests, 91+85+89+4th test = answer that divided by 4 tests will equal 90. 90 x 4 = 360. Then 360 -265 (sum for 1st 3 tests) = 95
Chloe looked at the data below and said, "The median is 37." Which answer points out Chloe's
mistake?
38, 42, 51, 55, 37, 57, 34, 44, 56
A. Chloe should have added the numbers and divided by 9.
The median is 46.
B. Chloe did not make a mistake; the median is 37.
C. Chloe forgot to arrange the numbers in ascending order. The median is 44.
D. The median is the number which appears the most; there is no median.
Answers
Answer:
C. Chloe forgot to arrange the numbers in ascending order. The median is 44.
Step-by-step explanation:
We arrange the 9 numbers of the data from the least to the greatest
Then we spot the middle number (5th number) which is 44:
34 < 37 < 38 < 42 < 44 < 51 < 55 < 56 < 57
Which expressions are equivalent to 6m+5(n+m)?
7m + 5n
11m + 5n
12m + n
6m + 5n + 5m
6(m + 5n + 5m)
Answers
Answer:
it's 11m+5m
Step-by-step explanation:
Rearrange term
6m+5(n+m)
6m+5(m+n)
Distribute
6m+5m+5n
Combine like terms
6m+5m+5n
=11m+5n
Multiply: (x−3)(x 4) simplify and write your answer in standard form. hint standard form: ax2 bx c
Answers
x^5-3x^4
both simplified and in standard form
3) Solve 5(x + 3) - 3x = 55 for x. Use mathematical properties to justify each step in the process.
Step 1
Step 2
Step 3
Step 4
Step 5
Answers
solution
5(x+3)-3x=55
5x+15-3x=555x-3x+15=552x+15=552x=55-152x=402x/2=40/2x=20The value of a company equipment is $25000 and decreases at a rate of 15% per year. What is the value of the equipment after 8 years.
Answers
Answer: $6812.3
Step-by-step explanation: Just solve decreasing 15% each year
A
tyler has a points card for a movie theater.
he receives 75 rewards points just for signing up.
• he earns 10.5 points for each visit to the movie theater.
he needs 180 points for a free movie ticket.
.
a
how many visits must tyler make to earn a free movie ticket?
Answers
Answer:
at least 10 visits
Step-by-step explanation:
Given:
75 rewards points for signing up
10.5 points for each visit
Total Number of Points are :
75 + 10.5 · number of visits he makes
How many visits must Tyler make to earn a free movie ticket?
75 + 10.5 · x ≥ 180 points for a free movie ticket
Where, x is how many visits must Tyler make to earn a free movie ticket
10.5 · x ≥ 180 -75
x ≥ 105/ 10.5
x ≥ 10
Since the number of visits to reach 180 points is 10 then Tyler has to visit the movie theater 10 times or more.
Check our answer:
75 + 10.5 · 10 = 180 will earn him a free movie ticket
Answer:
Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.
Step-by-step explanation:
A
tyler has a points card for a movie theater.
he receives 75 rewards points just for signing up.
• he earns 10.5 points for each visit to the movie theater.
he needs 180 points for a free movie ticket.
.
a
how many visits must tyler make to earn a free movie ticket?
4 . 7 p - 10 p =
Answer please !! Wrong answer will get you reported !
Answers
-3p
Step by step explanation:
It’s basically a subtraction so 7-10=-3 and it’s the same as 7p-10p=-3p
Hey there!
4 * 7p - 10p
= 4(7p - 10p)
= 4(7p) + 4(-10p)
= 28p - 40p
= -12p
Therefore, your answer is: -12p
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
1 +5x2 + (1 + 3) to the second power
Answers
Answer:
27
Step-by-step explanation:
1 + (5)(2) + (1 + 3)^2
1 + 10 + (1 + 3)^2
11 + (1+3)^2
11+4^2
11+16
27
Hope this helps! Have an amazing day!Math 8: One-step equations word problems (writing algebraic expressions)
Answers
Answer:
x puls four is equal to
Step-by-step explanation:
What is the perimeter of kite obde? 17 units 23 units 27 units 60 units
Answers
All sides add up to the perimeter. The perimeter of the kite is 27 units then the correct option is C.
What is the definition of geometry?It is concerned with the geometry, region, and density of various 2D and 3D forms.
The Pythagoras theorem will determine the kite's length (x).
H² = P² + B²
H² = 15² + 8²
H² = 225 + 64
H² = 289
H = 17
Then
[tex]\rm x = \dfrac{H}{2} \\\\x = \dfrac{17}{2}\\\\x = 8.5[/tex]
And another length of the kite is 5 units.
Then the perimeter of the kite will be
Perimeter = 2(8.5 + 5)
Perimeter = 27
More about the geometry link is given below.
https://brainly.com/question/7558603
Answer:27 units
Step-by-step explanation:
trust
please find the area of the shaded region
Answers
Answer:
Step-by-step explanation:
Remark
The way to solve the shaded region is to find the area of the square first and subtract the area of the circle from it.
Area of the square
Area = s^2
s = 12
Area of the square = 12 * 12
Area of the square = 144 yd^2
Area of the circle = pi * r^2
r = d/2
d is actually the same as the side length of the square
r = 12/2
r = 6
pi = 3.14
Area of the circle = pi * 6^2
Area of the circle = 3.14 * 36
Area of the circle = 113.04
Area of the shaded region
Area of shaded region = area of the square - area of circle
Area of shaded region = 144 - 113.04
Answer: Area of the shaded region 30.96
Carlos says that 17.43 divided by 100 is the same as 174.3 times 0.01. Is he correct?
Answers
Answer:
that's not correct.
17.43/100= 0.1743
174.3×0.01=1.743
Fill in the table using this function rule.
y=3x+3
Answers
Answer:
9
24
27
30
Step-by-step explanation:
f(2) = 3(2) + 3 = 9
f(7) = 3(7) + 3 = 24
f(8) = 3(8) + 3 = 27
f(9) = 3(9) +3 = 30
Hope this helps!
what is x > 7 j don't get it pls help me
Answers
Answer:
j < x/7
Step-by-step explanation:
Lucy Garcia took out a loan for $40,000 at 10 percent interest for 10 years. Her monthly payments are $528. 60. She made payments for one year and has paid the principal down to $37,546. 36. She now wants to repay the loan early. The loan specifies a $300 prepayment penalty if she pays the loan now. How much will she save by paying the loan early (round final answer to nearest dollar)?
Answers
The amount saved due to early payment is $19,242
Data;
Monthly payment = 528.60Number of payment = 10 years * 12 = 120 Total payment if not prepaid = 528.60 * 120 = $63,432Total Payment for the whole termThe total payment for the whole term is the equal to the product of monthly payment and the number of payment as calculated above.
The total amount in cash in case of prepayment is
[tex]total amount in case of prepayment = monthly payment * number completed + balance + penalty[/tex]
The number of payment completed = 12
Balance = $37,546.36
Penalty for prepayment = 300
The amount of prepayment is
[tex]528.60 * 12 + 37546.36 + 300 = 44,189.56[/tex]
The amount saved due to early payment is
[tex]63432 - 44189.56 = 19,242[/tex]
The amount saved due to early payment is $19,242
Learn more on payment plans here;
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what is 2/8 simplified
Answers
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
when the numerator and denominator are no longer divisible by the same number, that's when it is in simplest form:
[tex]\frac{2}{8}[/tex] divides by [tex]\frac{2}{2}[/tex] to give you [tex]\frac{1}{4}[/tex]
2÷2 = 1
8÷2 = 4
[20 points]
Write the polynomial in standard form. (Look at the Photo)
Answers
Answer:
[tex]5x^4+5x^3+3x^2-4[/tex]
What steps are used to solve the equation 146 + f = 225
Answers
Answer:
f = 79
Step-by-step explanation:
You need to perform one-step equations process
146 + f = 225 (You're trying to solve for "f")
*First way, you could subtract both sides by 146 which makes the 146 cancel out then do 225-146 = 79. So f is 79
*A rule to remember is that the opposite of addition is subtraction. If you move 146 to 225 side you must switch it to negative 146.
What is the area of a parallelogram with a base of 26 m and a height of 18 m?
Answers
Answer:
468 m²
Step-by-step explanation:
Given:
→ Base = 26 m
→ Height = 18 m
Formula:
[tex]\text{Area of parallelogram: Base} \times \text{Height}[/tex]
To determine the area of the parallelogram, we need to substitute the base and the height in the formula.
Substitute the measures in the formula:
[tex]\implies \text{Area of parallelogram: Base} \times \text{Height}[/tex]
[tex]\implies \text{Area of parallelogram} = 26 \times 18[/tex]
Evaluate the area of the parallelogram:
[tex]\implies \text{Area of parallelogram} = 26 \times 18[/tex]
[tex]\implies \text{Area of parallelogram}= \bold{468 \ \text{m}^{2}}[/tex]
Answer:
468 m²
Step-by-step explanation:
Given,
Base ( b ) = 26 m
Height ( h ) = 18 m
To find : The area of parallelogram
Formula : -
Area of parallelogram = bh
Area of paralleogram
= 26 x 18
= 468 m²
Therefore,
the area of the parallelogram is 468 m².
NEED DONE ASAP. what is 6x3
Answers
Answer:18
Step-by-step explanation: pretty much 6 plus 6 plus 6 you add six 3 times.
Help me please I don’t understand
Answers
Answer:
Area of composite shape = 36 square units
Step-by-step explanation:
Area of composite shape:
Rectangle I:
Length = 3 units
width = 6 - 4 = 2 units
Area of rectangle I = length *width
= 3* 2
= 6 square units
Rectangle II:
length = 6 units
width = 5 units
Area of rectangle II = 6 * 5
= 30 square units
Area of composite shape = area of rectangle I + area of rectangle II
= 6 + 30
= 36 square units
State if the three
numbers below can be
the measure of the sides
of a triangle.
3, 10, 7
Answers
These Numbers CAN make a Triangle.
3 + 7 = 10 and the third number is equal.
Therefore these measurement can make a triangle.
Hope this helps!!
20 In a village,
if it rains on one day, the probability
that it will rain on the next day is 0.8
if it does not rain on one day, the probability that it will rain on the next day is 0.6
A weather forecaster says,
“There is a 70% chance that it will rain in the village on Monday.”
Work out an estimate for the probability that it will rain in the village on Wednesday.
lou must show all your working.
Answers
Using it's concept, it is found that there is a 0.643 = 64.3% probability that it will rain in the village on Wednesday.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, considering Monday - Tuesday - Wednesday, the possible outcomes are as follows:
R - R - R(0.7 x 0.7 x 0.7)
R - N - R(0.7 x 0.2 x 0.6)
N - R - R(0.3 x 0.6 x 0.8)
N - N - R(0.3 x 0.4 x 0.6)
Then, the probability is given by:
p = 0.7 x 0.7 x 0.7 + 0.7 x 0.2 x 0.6 + 0.3 x 0.6 x 0.8 + 0.3 x 0.4 x 0.6 = 0.643.
0.643 = 64.3% probability that it will rain in the village on Wednesday.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
What type of triangle is defined by the following set of side lengths
10, 9, 5
Question 3 options:
Acute
Obtuse
Right
Not a triangle
Answers
Answer:
the answer is acute according to this triangle calculator
Solve for y. y /4 + 15 = 17
Answers
Answer:
y = 2 x ± [tex]\sqrt{2}[/tex] =± 2.8284
Step-by-step explanation:
y*y/4+15-(17)=0
Answer:
[tex]4 + 15 \div y = 17 \\ \\ 4 + 15 = 17y \\ \\ 19 = 17y \\ \\ y = \frac{19}{17} [/tex]
Do number 7 pleaseeee
Answers
Answer:
it says percentage increase so you do...
Step-by-step explanation:
106 divide by 100=1.06
then the answer multiply by 1.50=1.59
A shipping box has a width of 6 inches, a length of 10 inches, and a height of 7 inches. What is the volume of the shipping box?
Answers
Answer:
V = 420 in^3
Step-by-step explanation:
Formula
The volume of a 3 dimensional box is V = L * w * h
Givens
L = 10 in
w = 6 in
h = 7 in
V = ?
Solution
Substitute the givens into the formula
V = 10 * 6 * 7 Combine
V = 420 in^3