Problem 1
Answer: 104 cubic inches----------------------
Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
========================================================
Problem 2
Answer: 650 square inches----------------------
Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
A cube has a side length s of 7 centimeters. The expression 6s2 gives the surface area of the cube and the expression s3 gives the volume. What are the volume and surface area of the cube? NEED HELP NOW!!!!!!
Answer:
Area = 294 cm^2
Volume = 343 cm^3
Step-by-step explanation:
Simply plug in s = 7 into the given equations.
[tex]6s^{2} = 6*7^{2} = 294 cm^{2}[/tex]
[tex]s^{3} = 7^{3} = 343 cm^{3}[/tex]
Leo plans to take 24 credit hours of courses during his freshman year of college. Each credit hour costs $350 for in-state tuition. Housing will cost $7,000, and books will cost $800. How much will Leo pay for tuition, housing, and books for his freshman year of college?
Answer:
$16200
Step-by-step explanation:
24 times 350=8400
8400+7000+800
The radius of a sphere is 3 cm. What is the sphere's volume? Round to the nearest tenth.
Answer:
113.1
I answered this question before with the exact radius, and I remember the answer being this.
Formula:
V=4
3πr3=4
3·π·33≈113.09
Hope this helps!
Answer:
Step-by-step explanation:
the answer is 113.1 cm³
The volume of a sphere of radius r is V = (4/3)πr³.
If the radius is 3 cm and the answer is to be expressed to the nearest tenth, then we get:
V = (4/3)(3.14159)(3 cm)³
= (4/3)(84.82 cm³
= 113.1 cm³
A red ball and 4 white balls are in a box. If two balls are drawn without
replacement, what is the probability of
a getting two white balls?
Answer:40%
Step-by-step explanation:
10 divided by 2 is 5.
Since there are five balls, and four are white and one is red, if you double that amount, then you would have 8 white and 2 red. So four white balls is equal to 40%.
solve pls brainliest
Hope makes 3 group of shapes
What Larger group to the shapes in a and B belong in
The shapes in the three groups are quadrilaterals
The shapes in group A and B belong to parallelograms and rectangles
How to determine the shapes?From the complete question, we can see that the shapes in the group A have opposite parallel sides and the angle between the adjacent sides is not 90 degrees.,
This means that the shapes in group A are parallelograms
Similarly, the shapes in the group B have opposite parallel sides and the angle between the adjacent sides is 90 degrees.
This means that the shapes in group A are rectangles
Hence, the shapes in group A and B belong to parallelograms and rectangles
Read more about shapes at:
https://brainly.com/question/25965491
Solve the equation.
If necessary
Combine Terms
Apply properties
Add Subtract
Multiply
Divide
Answer:
x=-1
Step-by-step explanation:
3x+12-8x=19+2x (combine liked terms)
-5x+12+19=2x (move variable to the left-hand side and change its sign)
-5x-2x+12=19 (combine liked terms)
-7x=19-12 (divide both sides of the equation by -7)
x=-1
true or false dont guess.
A triangle can be made by segments that are 15.9 cm, 10 cm and 25.9 cm.
Answer:
false
Step-by-step explanation:
for the segments to form a triangle, then
the sum of any 2 must be greater than the third.
15.9 + 10 = 25.9 ← not greater than 25.9
10 + 25.9 = 35.9 > 15.9
15.9 + 25.9 = 41.8 > 10
then the 3 segments will not form a triangle.
Okay so the choices of answers are the same on all three and I do need answers for all three :( pls help! Thanks
Answer:
1. >
2. <
3. =
Step-by-step explanation:
Click on the correct equation to show the commutative property. 2 + 3 = 5
Answer:
3 + 2 = 5
Step-by-step explanation:
Remember Commutative Property by thinking about what happens when someone has to "commute" (driving back and forth to work or school) If the numbers in the addition MOVE then it is Commutative Property.
Write an equation in slope-intercept form for the line that passes through the given point and has the given slope:
(1, 5)
Slope = -1
PLS HELP PLS PLS TYSM
Answer:
y = -x + 6
Step-by-step explanation:
We can plug the given point and slope into the point-slope formula and solve for the y-intercept formula.
y - y = m(x - x) <-- Point-Slope Formula
m = -1
(x,y) = (1, 5)
y - 5 = -1(x - 1)
y - 5 = -x + 1
y = -x + 6 <-- Y-intercept Formula
Find value of x degrees
half the hexagon is a straight line so its 180°
then 180 will be divided by the 3 sectors
180°÷3
=60°
2(n+8)
What is Max’s final number if his starting number 7?
Answer: 30
Step-by-step explanation:
Answer:
Method 1
2(n+8)
2n+16=2x7+16
14+16=30
Method 2
2(n+8)
2(7+8)=2(15)
=30
Solve the system of equations. 2y + 77 = -5 5y – 7x = 12 72
Answer:
[tex]y=-41,\:x=-211[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}2y+77=-5\\ 5y-7x=1272\end{bmatrix}[/tex]
Isolate y for 2y+77=-5:
[tex]y=-41[/tex]
[tex]\mathrm{Substitute\:}y=-41[/tex]
[tex]\begin{bmatrix}5\left(-41\right)-7x=1272\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}-205-7x=1272\end{bmatrix}[/tex]
Isolate x for -205-7x=1272
[tex]x=-211[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=-41,\:x=-211[/tex]
{24, 95, 76, 60, 15, 48, 80, 75}
a.
Mean =
b.
Median
c.
Mode =
Answer:
a)59.125, b)67.5, c)None
Step-by-step explanation:
Mean = All values added up and divided by the number of values
[tex]\frac{24+95+76+60+15+48+80+75}{8}[/tex]
Median = Put all numbers in order from least to most and use the middle one, if there are two, use the mean of those two
[tex]15, 24, 48, 60, 75, 76, 80, 95[/tex]. The middle ones are 60 & 75 so [tex]\frac{60+75}{2}[/tex]
Mode = The number that repeats more times. In this case none of them repeat.
Matt took 12 hours to read a 792 page book.
Which rate best represents the relationship between the number of pages Matt reads to the amount of time it took for him to read it?
A. 67 hours per page
B. 66 pages per hour
C. 65 pages per hour
D. 804 hours per page
The representation of Matt's reading the book is an illustration of unit rates
The best representation of the rate is (b) Matt reads 66 pages per hour
How to determine the representation?
The given parameters are:
Pages = 792 pages
Time = 12 hours
The rate is then calculated as:
Unit Rate = Pages/Time
This gives
Unit Rate = 792/12
Evaluate the quotient
Unit Rate = 66
This means that Matt reads 66 pages per hour
Read more about unit rates at:
https://brainly.com/question/19493296
Can someone please help explain how to do this?
What is the measure of B? C is 34 degrees.
Answer:
m<B= 56
Step-by-step explanation:
A triangle has 180 degrees. This is right triangle meaning there is one angle that is 90 degrees. That's angle A since it's indicated by the little box. So 90+34= 124. You then subtract that from 180 to get 56.
there are 216 7th grade students in 9 classes find the unit rate
Answer:
24 students per class
Step-by-step explanation:
Answer:
24 students per class.
A baseball team won 2 games. They played 17 games total. Which ratio shows how many games they lost
Answer:
15/17
Step-by-step explanation:
if they won 2 games they lost 15 (17-2) so the ratio is 15/17
A merchant offers a large group of items at 32% off later the merchant takes 16% off the sale prices and claims that the final price of these items is 186 off the original price.
what is the total percent discount?
The total discount was 48% of the original price of $387.50
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the original price.
Discount = (32% of x) + (16% of x) = 0.48x = 48% of x
The final price of these items is 186 off the original price.
x - 0.48x = x - 186
x = $387.50
The total discount was 48% of the original price of $387.50
The solution to the equation 6a = 42 gives a = 7
Find out more on equation at: https://brainly.com/question/2972832
Homework Jim Thompson! PART 2
Problem 2
Part (a)
The 3D shape formed when rotating around the y axis forms a pencil tip
The shape formed when rotating around the x axis is a truncated cone turned on its side.
------------
Part (b)
Check out the two diagrams below.
============================================================
Problem 3
Answer: Choice A and Choice C
-----------------------
Explanation:
Think of stacks of coins. Let's say we had 2 stacks of 10 quarters each. The quarters are identical, so they must produce identical volumes. Those sub-volumes then add up to the same volume for each stack. Now imagine one stack is perfectly aligned and the other stack is a bit crooked. Has the volume changed for the crooked stack? No, it hasn't. We're still dealing with the same amount of coins and they yield the same volume.
For more information, check out Cavalieri's Principle.
With all that in mind, this leads us to choice C. If the bases are the same, and so are the heights, then we must be dealing with the same volumes.
On the other hand, if one base is wider (while the heights are still equal) then the wider based block is going to have more volume. This leads us to choice A.
For the right triangles below, find the values of the side lengths d and b.
Write answers in simplified radical form if necessary.
Answer:
d = 2√2b = 5√3Step-by-step explanation:
In these special right triangles, the sides have length ratios ...
45-45-90: 1 : 1 : √2
30-60-90: 1 : √3 : 2
This tells us ...
d×√2 = 4 . . . . . . . . . . relationship between the side and the hypotenuse
d = 4/√2 = 2√2
__
b = 5√3 . . . . relationship between the short side and long side
Describe the steps you can use to find an average of
fractional amounts.
what is Hola, soy el chico nuevo de la clase y me gustan los coches. in english and what is 20+20+x56?
1. Hi, Im the new kid in class and I like cars.
2. 2240.
( 20 + 20 = 40)
40 x 56 = 2240.
Answer:
it means ''Hi I'm the new kid from class and I like cars.
and 2240 is the answer for the equation
Step-by-step explanation:
hope this helped you!
list the factors of 60 that are even numbers
Answer:
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Every even number will have 2 as one of its factors. 60 is a composite number as it has more factors other than 1 and itself. Please mark brainiest.
What is the factored form of x^3-1? (x^3-1)(x^2+x+1) (x-1)(x^2-x+1) (x-1)(X^2+x+1) (x^3-1)(x^2+2x+1)
When the bathroom at your house started to leak, the plumber came to fix it. In all, he used 18 feet of pipe, which came in either 2-foot or 4-foot sections. How many of each did he use if he needed 6 pieces of pipe
4 two foot and 2 four foot
3 two foot and 3 four foot
2 two foot and 4 four foot
5 two foot and 1 four foot
Answer:
3 two foot and 3 four foot
Step-by-step explanation:
In order to find how many of each he used, you have to find how much pipe in total with the options that were given you.
(3*2)+(3*4)=6+12=18 feet of pipe
Solve for x,
6x + 18-9x = -12
Answer:
x=10
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Graph y= -2x + 5
Please help me outt.
Answer:
one on the y axis 5 and then go two down and one to the right and that's the answer
PLEASE HELP ASAP!!!
Answer:
a. 1 is a right angle because x equals to 10 because of the pythagorean theorem.
b. 1 is an obtuse angle because x could be greater than 10, making 1 an obtuse angle.
c. 1 is an acute angle because x could be less than 10, making 1 an acute angle.
d. x could be 8, making the triangle isoceles.
e. x could be less that 3, making the triangle not possible