The two solids are similar, and the ratio between the lengths of their edges is
2:9. What is the ratio of their surface areas?
36 2
A. 64:729
B. 4:81
C. 4:18
D. 8:36
Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 2268 : 112
How to calculate the surface area of a prism?A prism is a solid shape with 6 faces
The formula for calculating the total surface area is expressed as:
TSA = 2(lw+wh+lh)
l is the lengthw is the widthh is the heightFor the Red prism
Ar = 2(162 +324 + 648)
Ar = 2268 square units
For the blue prism
Ab = 2(8 + 16 + 32)
Ab = 112 square units
Take the ratio of the surface area
Ratio = 2268 : 112
Hence the ratio of their surface area is 2268 : 112
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Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 4:81.
How to calculate the surface area of a prism?
A prism is a solid shape with 6 faces
The formula for calculating the total surface area is expressed as:
TSA = 2(LW+WH+LH)
L is the lengthW is the widthH is the heightFor the Red prism
Ar = 2(648 + 162 + 324)Ar = 1,782 square unitsFor the blue prism
Ab = 2(32 + 8 + 16)Ab = 88 square unitsTake the ratio of the surface area
Ratio = 4:81
Hence the ratio of their surface area is 4:81
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37. Watering a lawn requires 623 gallons of water for
every 1000 sq. ft. What is the rate of gallons per square
foot?
The rate of gallons per square foot is 0.624 gallons per square foot.
What is a rate?A rate demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B). This indicates that you're dividing information A by B.
In this scenario, watering a lawn requires 623 gallons of water for every 1000 sq. ft.
The rate of gallons per square foot will be:
= Number of gallons / Square foot
= 623 / 1000
= 0.623
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Does the equation below represent a lunar relationship? Justify your response. 2x - 5y= -15
Answer:
Yes, the equation represents a linear relationship.
Step-by-step explanation:
If you graph it, it is a line.
Also, the exponent on the x and the y is exactly 1. There are no variables in the denominator, nor inside a radical. There are no squared, cubes or higher exponents. All these things will make an equation NOT linear.
A
Angle ABC Is a right angle.
The measure of angle
DBC is 55°.
The measure of angle ABD Is x
55°
What is the value of x?
B
Answer:
25
Step-by-step explanation:
ABC is a right angle so ABD and DBC are complementary angles and their sum is equal to 90:
x + 55 = 90 subtract 55 from both sides
x = 25
Jay went on a diet and lost 5 pounds each month. Find Jays net weight change in 6 months.
Answer:
30lbs
Step-by-step explanation:
5x6 i think lol maybe
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the rectangle.
8
2
square units
ol-
اد
Point Dis: Point E is
4.
D
E
Point Fis:
Point
5.
UL
G
0
6. Label each fraction on the number line below.
Answer:
I can't understand
Step-by-step explanation:
Shanelle used the following steps to arrive at the wrong answer for the simplification problem shown below.
What mistake did Shanelle make to get the problem wrong?
ty
y
Given: 2,5
XyX
10
Step 1: 3,4
xºy
Step 2: = x 'yº
Step 3: = x(1)
Step 4: = x
A. Shanelle misapplied the multiplication property of exponents to x in Step 1.
B. Shanelle misapplied the multiplication property of exponents to y in Step 1.
C. Shanelle misapplied the division property of exponents to x in Step 2.
D. Shanelle misapplied the division property of exponents to y in Step 2.
What is 6x^3 - 3x^2 + 7x - 4
when x = 5?
Step-by-step explanation:
[tex] = {6x}^{3} - {3x}^{2} + 7x - 4[/tex]
[tex] = 6 \times 125 - 3 \times 25 + 7 \times 5 - 4[/tex]
[tex] = 750 - 75 + 35 - 4[/tex]
[tex] = 750 + 35 - 75 - 4 [/tex]
[tex] = 706..[/tex]
Find the perimeter of the rectangle
below in inches.
Answer:
Perimeter of the rectangle is 28 yardsStep-by-step explanation:
Given:
Length of rectangle = 8 yardsBreadth of Rectangle = 6 yardsTo Find:
Perimeter of the rectangleSolution:
We know that,
Perimeter of rectangle= 2(L + B)Substituting the required values,
⇢ Perimeter = 2(8 + 6)
⇢ Perimeter = 2(14)
⇢ Perimeter = 28 yards
Hence,
Perimeter of the rectangle is 28 yardsThe sum of three numbers is 145. The third number is 4 times the second. The second number is 5 more than the first. What are the numbers?
Answer:
i think they are 23, 50, and 64!
Step-by-step explanation:
Suppose that in your city % of the voters are registered as Democrats, % as Republicans, and % as members of other parties. Voters not aligned with any official party are termed "Independent." You are conducting a poll by calling registered voters at random. In your first three calls, what is the probability that you talk to
Answer:
it will depend on what state you are in
Step-by-step explanation:
depending on what state you are in will depend on the voting polls. and it would most likely be democratic
4) Reflection: why is it important to understand radius and circumference to solve problems in the real world?
Look at the below example you may understand better
Suppose you are playing soccer or footballYou want to make a perfect ball which can be played easily by people irrespective of their age.So if you know about radius and circumference you can find that .helpppp pppp ppppp pppppppppp
Answer:
with what
Step-by-step explanation:
ask your teacher
Find the 66th term of the arithmetic sequence 3, 13, 23, ...
The rabbit population in a certain area is 500% of last year's population. There are about 300 rabbits this year. How many were there last year?
Answer: 1500
Hope this helps! :)
Please mark brainliest.
Jack and Diane want to meet for breakfast. Jack walks 1.5 mph and Diane walks 1 mph. They started 5 miles apart from each other. How long does it take them to meet up?
Answer:
jack take 3.33 hours and diane would take 5 hours
Step-by-step explanation:
Complete this sequence
-21,-18,-15,-12,[??],[??]
-9 and -3
hope it helps...!!!
Lillie has read 45 books and read 10 books every year. Dean has read 23 books and reads 12 books every year. How many years will Dean take to read as many books as Lillie?
Answer:
11 years
Step-by-step explanation:
x = years to equal
45 + 10x = 23 + 12x
22 = 2x
x = 11 years
It will take 11 years for Dean to read as many books as Lillie.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Number of books read by Lillie every year = 10 books
Total number of books already read = 45 books
The number of books, n, read by Lillie in t years,
n = 45 + 10t
Number of books read by Dean every year = 12 books
Total number of books already read = 23 books
The number of books, n, read by Lillie in t years,
n = 23 + 12t
Dean read as many books as Lillie, when,
23 + 12t = 45 + 10t
12t - 10t = 45 - 23
2t = 22
t = 11
Hence the number of books read by both will be same in 11 years.
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what is 2.5 in a fraction?
Answer: 5/2
To convert 2.5 into a fraction, firstly we will write the number in x/y form, where x and y are positive integers. So, 2.5 can be written as 2.5/1. For the removal of the decimal, we multiply and divide by 10. And we get, 2.5/1 x 10/10 = 25/10 = 5/2.
Which answer is an example of systematic sampling?
asking every fifth person their age
asking your neighbors if they approve of the mayor
submitting an online survey
counting everyone who attends a game
Answer:
Asking every 5th person their age
Step-by-step explanation:
I just did the quiz
8) Use the formula for the cardinal number of union of two sets
n(AUB) = n(A) + n(B) – n(An B)
n
to solve the problem.
Set A contains 10 elements, set B contains 5 elements and 3 elements are common
to sets A and B. How many elements in the union of these two sets?
18
09
12
15
Answer:
12
Step-by-step explanation:
n(AUB) = n((A) + n(B) – n(AnB)
Step 1:
Identify the values for each function of the formula. n(A) = 10, n(B) = 5, n(AnB) = 3
Step 2:
Replace each function with its values
n(AUB) = n(A) + n(B) – n(AnB)
n(AUB) = 10 + 5 – 3
Step 3:
Carry on the simple arithmetic
n(AUB) = 10 + 5 – 3 (follow the BODMAS method)
= 15–3
= 12
Therefore, the n(AUB) is 12
Mr. Walter recorded the heights of the students in his class. The dot plot below shows the recorded data.
Which of the following is the best measure of center for the data?
A.
interquartile range
B.
mean
C.
range
D.
median
Answer:
It's mean (I checked this) :)
Step-by-step explanation:
Sal the sloth takes one hour to travel 7 1/2 feet. If he continues to travel at the same rate, how long will it take him to travel 30 feet?
Answer:
4 hours
Step-by-step explanation:
Since we know he travels at a rate of 1:7.5 all we have to do is divide 7.5 by 30. Do you use proportions? You can set this up as a proportion and the find answer easily.
1[tex]\frac{1}{7.5} =\frac{x}{30}[/tex]
Now we cross product.
7.5 multipled by x =7.5x
1x30=30
so now we have
7.5x=30
Now we have to divide 7.5 on both sides which gives us
x=4
what is an equation of the line that is perpendicular to line y= -1/2x -2 and passes through the point (0,-4)?
Answer:
[tex]y = 2x -4[/tex]
Step-by-step explanation:
[tex]y = -\frac{1}{2}x - 2\ \ \ \ \ \ (0, -4)[/tex]
To find the perpendicular equation of a line,
You need the product of their gradients to be -1
[tex]-\frac{1}{2} \times ? = -1[/tex]
Divide both sides by [tex]-\frac{1}{2}[/tex]
? = 2
The gradient of the perpendicular line is 2
Straight line formula is in the form [tex]y = mx + c[/tex]
[tex]y = 2x + c[/tex]
We're nearly there, we just need to find out c.
Luckily, we're given a point [tex](0, -4)[/tex]
[tex](x, y) = (0, -4)[/tex]
[tex]y = 2x + c[/tex]
[tex]-4 = 2(0) + c\\-4 = 0 + c\\c = -4[/tex]
We then end up with...
[tex]y = 2x -4[/tex]
Mark earned $1340 for a 40-hour week. Use the formula P = RH where (P is the pay,
R is the rate per hour, and H is the number of hours worked) to find his hourly rate.
Consider the given probability histogram of a binomial
random variable.
What are the center and shape of the distribution?
0.4
A. Center: 2
Shape: symmetric
B. Center: 2.5
Shape: symmetric
C. Center: 2.5
Shape: slightly skewed
D. Center: 3
Shape: uniform
The center and shape of the distribution are 2.5 and symmetric. Then the correct option is B.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]\rm P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
Then the center and shape of the distribution will be 2.5.
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Answer:
Center : 2.5 Shape: Symmetric
Step-by-step explanation:
Trust Fam
At a company, a copy machine prints 175 pages in 5 minutes. If the number of pages printed is proportional to the time, what is the unit rate?
Answer:
35 pages per minute is the unit rate
Step-by-step explanation:
Divide 175 by 5 to find the unit rate
Angle A and B are complementary what is the measure of angle be?
Simplify
5x²-x+ 9 =
X=3
Answer:
51
Step-by-step explanation:
5x^2 - x + 9
5(3^2) - 3 + 9
5(9) + 6
45 + 6
= 51