Jessica needs another 52.8 cm^3 of material to make the other prism.
How much material will she use?For a right triangular prism of base B, height H, and length L, the volume is:
V = (1/2)*B*L*H
Now, we know that the first triangle has a volume of 12.6cm^3, then we can write:
V = 12.6cm^3 = (1/2)*B*L*H
If we dilate the prism with a scale factor of 3, the new dimensions are:
B' = 3B
L' = 3L
H' = 3H
Then the new volume is:
V' = (1/2)*(3B)*(3L)*(3H) = 27*(1/2)*B*L*H
And (1/2)*B*L*H is the original volume, so we can write:
V' = 27*V = 27*(12.6cm^3) = 340.2 cm^3
And she has 300cm^3 and she used 12.6cm^3, so the amount of material that she has left is:
M = 300 cm^3 - 12.6 cm^3 = 287.4 cm^3
Then the amount of material that she needs is:
340.2 cm^3 - 287.4 cm^3 = 52.8 cm^3
So Jessica needs another 52.8 cm^3 of material to make the other prism.
If you want to learn more about volumes, you can read:
https://brainly.com/question/1972490
How many 1/4 inches are in 1 inch? Draw a diagram to demonstrate your answer.
Answer:
4
Step-by-step explanation:
3X=5-2x english sentence
Answer:x=1
Step-by-step explanation: 3x+2x=-2x+5+2x
how much money did she have at first
Step-by-step explanation:
x = the total money she had first.
x - x×1/4 - (x - x×1/4)×1/2 = 15
you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.
now, we can simplify :
(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4
x×3/4 - x×3/4 × 1/2 = 15
x×3/4 - x×3/8 = 15
we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :
x×3×2 - x×3 = 120
6x - 3x = 120
3x = 120
x = $40
she had $40 at the beginning.
Please Please help please
Answer:
compound and elements
Step-by-step explanation:
a single atom is known as an element
a compound is two elements bonded together.
the given figure shows single atoms as well as two atoms bonded together therefore the figure is showing elements as well as compounds
What's the answer?????
Answer:
0
Step-by-step explanation:
basically plug a and b back into the equation so (0)÷(48) will equal 0 which is equal to C because 0 out of any number is always equal 0 because you're not taking taking any value out of it
Answer:
Step-by-step explanation:
zero is always a nasty piece of work. You need to be careful how you handle it. What do you get when you divide 0 by 48?
Answer, you don't get anything because no matter if b is 1 or 48, you get 0 as the result.
Answer: B
PLEASE SHOW YOUR WORK TY!
GIVING BRAINLIEST
Answer:
a)[tex]-\frac{1}{12}[/tex]
d)[tex]-\frac{1}{8}[/tex]
Step-by-step explanation:
a) Find a common denominator. 12 (3 × 4 = 12)
Convert the fractions to have a denominator of 12.
[tex]\frac{2}{3}[/tex] → [tex]\frac{8}{12}[/tex]
[tex]\frac{3}{4}[/tex] → [tex]\frac{9}{12}[/tex]
[tex]\frac{8}{12}[/tex]- [tex]\frac{9}{12}[/tex] = [tex]-\frac{1}{12}[/tex]
d) Find a common denominator. 8 (4 × 2 = 8; 8 × 1 = 8)
Convert the fractions to have a denominator of 8.
[tex]\frac{3}{4}[/tex] → [tex]\frac{6}{8}[/tex]
[tex]\frac{5}{8}[/tex] → [tex]\frac{5}{8}[/tex]
- [tex]\frac{6}{8}[/tex] - (-[tex]\frac{5}{8}[/tex])=?
Remember, 2 subtractions signs cancel each other out.
- [tex]\frac{6}{8}[/tex] + [tex]\frac{5}{8}[/tex] = [tex]-\frac{1}{8}[/tex]
The formula A=3.14(R^2-r^2) , for R=45 mm and r=38mm , is ?
Answer:
1,824.34
Solving steps:
=> A=3.14(R² -r²)
=> 3.14(45² - 38²)
=> 3.14(2025 - 1444)
=> 3.14(581)
=> 1,824.34
11, 20, 29, ...
Find the 48th term.
Answer:
434
Step-by-step explanation:
29-20=9
20-11=9
9*47=423
423+11=434
PLEASEEE HELP!!!! what’s the relation?
Answer:
ambisyoso
Step-by-step explanation:
yehey lala knows that you are you po Sir
Simplify the expression
5(k + 4) - 2k
Answer:
3k + 20
Step-by-step explanation:
5(k + 4) - 2k
First distribute
5k + 20 - 2k
Then subtract (combine) the like terms
3k + 20
Answer:
The answer is 3k + 20
Step-by-step explanation:
5k + 20 - 2k
Combine like terms: 5k - 2k = 3k
which makes your answer 3k + 20
Hope this helps:).......if not sorry for wasting time:)
10-5: Practice Buddy answers
Answer:
Step-by-step explanation:
Carmen’s dog needs medication. She told the veterinarian that the dog sighs 50lbs. The medicine is measured as 14 mg for each kilogram of the animals mass. How much medicine should be given to Carmen’s dog?
Answer:
317.5144mg
Step-by-step explanation:
50 lb=22.6796 kg
22.6796*14=317.5144
Middle-school students sold cookies in packages of 12. On the first day, they sold x packages. On the second day, they sold twice as many packages as on the first day. Which expression shows the number of cookies they sold on the second day
Answer:
2x
Step-by-step explanation:
As the question says that the students sold twice the cookies on the second day ans the expression for the first day is 'x' so the expression for second day is 2*x='2x'
Fully simplify the following expressions
1. (2⁴ x 5⁵)²
2. (2²+5)²
3. 2-²+3 ÷ 2-¹
Answer:
above is the solution to the question
At a used book sale, the number of books bought and the price paid by five different customers is shown in the table below. Odin knows that there is a linear model that describes the relationship between the number of books bought and the price
Answer:
Part A= 0.5
Step-by-step explanation:
Inverse of f(x)=-2x-5/-4x+9
Answer:
Step-by-step explanation:
Simplify this problem. Leave answer in exponents.
[tex]8^{-2}*a^7=\frac{a^7}{8^2} =\frac{a^7}{64}[/tex]
Hope that helps!
Find the surface area of this net.
Answer:
231cm²Step-by-step explanation:
First, let's find the surface area of both the triangles
5x3=15
So, the surface area of the triangles is 15 sq.cm
Now, let's find the surface area of the base (large rectangle in the middle)
12x8=?
10x8=80
2x8=16
80+16=96
12x8=96
So, the surface area of the base, is 96sq.cm
Now, let's find the surface area of both of the side rectangles
12x5=60
60x2=120
So, the surface area of the two side rectangles is 120sq.cm
Now, let's find the total surface area by adding all of our answers.
120+96=216
216+15=231
So hence, the surface area of this net is 231cm²
What is the diameter of this circle? AD c C Р E B
AB is the diameter of the circle
The longest chord in the circle is known as the diameter.AP is the radius and AB is its double so its diameter. As we know that, Diameter is 2× radius...~Analyze the zeros of f(x) =x^4 - 3x^3 - 2x^2 + 3x - 5.
Image attached please help easy geometry
Evaluate the function at the given values.
h(x) = x² – 3x + 2
a. h(2)
b. h(-2)
c. h(0)
a. h(2)=
Answer:
h(2) =0
h(-2) =4
h(0) = 2
h(2) = 0
Step-by-step explanation:
h(2) = 2^2-3(2)+2 =4 - 6 + 2 = 0
h(-2) = 2^-2 -3(-2) +2 = -4+ 6+2=4
h(0) =0^2 - 3(0)+2 = 0-0 +2 = 2
h(2) = 2^2-3(2)+2 =4 - 6 + 2 = 0
You purchase 2 action figures per week. You have 48 action figures, which is 75% of the total number of action figures you need to complete your collection. How many weeks until your collection is complete?
Answer:
Step-by-step explanation:
Let the total number of action figures = x
75% of x = 48
[tex]\dfrac{75}{100}*x=48\\\\Multiply \ by \ 100\\\\75*x =48*100\\\\Divide \ by \ 75\\\\x=\dfrac{48*100}{75}\\\\\\x=16*4\\\\x= 64[/tex]
Remaining action figures need to be collected = total figures - number of action figures I have
= 64 - 48 = 16
Number of weeks = 16 ÷ 2 = 8
It will take 8 weeks to collect 16 action figures.
Please answer QUICKLY!!!
Answer:
the range is {7,5,1}
Step-by-step explanation:
To find the range, just plug in the domain into the function.
f(-1) = -2(-1) + 5 = 7
f (0) = -2(0) + 5 = 5
f(2) = -2(2) + 5 = 1
During a blizzard, Daniel lost power for 40 hours. His neighbor lost power for 2 days. Whose power was out longer?
Answer:
his neighbors
Step-by-step explanation:
there are 48 hours in 2 days, which means that his neighbors power was out longer.
Sophia, Oliva, Ava, Mia, and Isabella are going to drive together to a nearby theme park. The car they are using has 5 seats: 1 driver seat, 1 front passenger seat, and 3 back passenger seats. Sophia and Olivia are the only ones who know how to drive the car. How many possible seating arrangements are there?
Answer: 48 arrangements
Step-by-step explanation:
Total persons = 5
Total seats = 5
Total arrangements
= 2 * 4!
= 2 * (4 * 3 * 2)
= 2 * 24
= 48
Let $f(x) = 12x^9 + x$. Find $f(3) + f(-3)$.
Answer:
Ok, here goes: f(3) means take f(x) and plug in 3 wherever we see x. So
f(3) = 12*39 + 3 = 236196 + 3
f(3) = 236199
Likewise, f(-3) means take f(x) and plug in (-3) wherever we see x. So
f(-3) = 12*(-3)9 + (-3) = -236196 - 3
f(-3) = -236199
Putting those two things together, we get
f(3) + f(-3) = 236199 - 236199 = 0
Step-by-step explanation:
Your credit card has a limit of $9,500 and you have a current balance of $3,200. Answer the following questions using complete sentences: is the debt ratio more or less than 43%(if you could show work for this i would apricate it )
Answer:
Step-by-step explanation:
9500/3200=296.88% i believe i did it backwards at first sorry
…………………………. Just look at image. Need help
Answer:
Explained and Given Below.Explanation:
manipulate sides by changing division to multiplication and solve, simplify.
solving steps:
(a)
[tex]\sf \dfrac{4}{7} \div \dfrac{5}{6}[/tex]
[tex]\sf \dfrac{4}{7} * \dfrac{6}{5}[/tex]
[tex]\sf \dfrac{24}{35}[/tex]
(b)
[tex]\sf \dfrac{3}{5} \div \dfrac{4}{5}[/tex]
[tex]\sf \dfrac{3}{5} * \dfrac{5}{4}[/tex]
[tex]\sf \dfrac{3}{4}[/tex]
(c)
[tex]\sf \dfrac{5}{8} \div \dfrac{7}{8}[/tex]
[tex]\sf \dfrac{5}{8} * \dfrac{8}{7}[/tex]
[tex]\sf \dfrac{5}{7}[/tex]
(d)
[tex]\sf \dfrac{7}{18} \div \dfrac{4}{9}[/tex]
[tex]\sf \dfrac{7}{18} * \dfrac{9}{4}[/tex]
[tex]\sf \dfrac{7}{2} * \dfrac{1}{4}[/tex]
[tex]\sf \dfrac{7}{8}[/tex]
2000:$5 2015:$6.5 what is the percent change
Answer:
30%
Step-by-step explanation:
% of change = 100 x (6.5-5)/ | 5 |