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
erica [24]
4 years ago
8

Alona has some wood cutouts of two different shapes - square and triangle. Each square cutout is 6 mm thick and each triangular

cutout is 8 mm thick. Both cutouts have the same area of cross-section. Alona makes an upright stack using 24 square cutouts. She is making an oblique stack using the triangular cutouts. How many triangular cutouts should she put in the oblique stack so that both stacks have the same volume?
Mathematics
1 answer:
kobusy [5.1K]4 years ago
7 0

Answer:

18

Step-by-step explanation:

Volume is a product of cross-sectional area and height and relresented as V=Ah where V is volume, A is cross-sectional area and h is height.

For the square, since each has a thickness of 6mm then for 24 of them the height will be 24*6=144 mm

Since the volume and cross sectional area of the triangle should be the same, then the height should also be the same.

Since for the triangle each has a thickness of 8mm then the number requred to achieve a height of 144 mm will be 144/8=18 stacks

You might be interested in
There were 326 students at the high school dance. There were 24 more girls than boys. How many girls and boys attended?​
abruzzese [7]

Answer:

187 girls 139 boys

Step-by-step explanation:

first you divide 326 by 2 to get 163, and then you add 24 to it to find how many girls and then you subtract 24 from it to find how many boys

4 0
3 years ago
Read 2 more answers
I need help w this pls :)
Llana [10]

Answer:

x8 y6

Step-by-step explanation:

5 0
3 years ago
How do I Solve this problem?
nlexa [21]
U would factor by grouping and get x^2(x-2) + 3(x-2) and then get (x^2 +3) (x-2)
6 0
3 years ago
Read 2 more answers
Jose wanted to compare the people in his math class who like country music to those who like rap music. If the Venn diagram abov
Anestetic [448]
The correct answer to this question is A; <span>A is students who like country music only, B is students who like both country and rap music, and C is students who like rap music only</span>
6 0
3 years ago
Read 2 more answers
43/645= I need the to show the work
Licemer1 [7]
I'm guessing you need 43/645 simplified:

First, we need to find the greatest common factor (GCF) of the numerator (43) and the denominator (645). To do so, we list all the factors of each number and find the common ones.

Factors of 43: 1, 43
Factors of 645: 1, 3, 5, 15, 43, 129, 215, 645

Out of the listed factors for each number, which numbers are common between the two? The common factors are 1 and 43. Since we are looking for the GREATEST common factor, which number out of 1 and 43 is the greatest? The GCF is 43.

Second, we can now divide the numerator (43) and the denominator (645) by the GCF we recently found which was 43. 

43 \div 43 = 1 \\ 645 \div 43 = 15

Third, our new simplified fraction is 1/15. We collected our new numerator and denominator.

Answer in fraction form: \fbox {1/15}
Answer in decimal form: \fbox {0.0667}
4 0
3 years ago
Other questions:
  • Which system of inequalities has a lot of solution?
    15·2 answers
  • a carpenter has a board that has 8ft long. he cuts off two pieces. one piece is 3 wholes and 1 half long. and the other one is 2
    7·1 answer
  • Write the following equation in the general form Ax+ By+ C:
    9·1 answer
  • Is (2, 5) a solution to this system of equations?<br><br> x + 2y = 12<br> 2x + 2y = 14<br> yes or no
    15·1 answer
  • A group of 5 friends decide to set up a lemonade stand . They sell 48 cups of lemonade for $1.35 each.
    14·2 answers
  • ___Another word for a fraction. pick one of these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Ex
    9·1 answer
  • Plz plz help me with question 3.You will get 15 points and a branliest.
    5·1 answer
  • HELP ASAP!
    5·2 answers
  • Convert to an improper fraction. Type in your answer with the negative in the numerator. -8 3/4 =
    9·1 answer
  • Choose the correct math expression for: the sum of 18 and 12 subtracted from 50.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!