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3 years ago

Find the volume of the composite figure below: 5 in 8 in 6 in 10 in

Mathematics

1 answer:

inysia [295]3 years ago

8 0

Answer:

716in³

Step-by-step explanation:

The first step is to split the full prism into two, separate prisms. That means, we now have to find the volume of the half-a-cylinder, and the other base prism.

For the volume of the half-cylinder, we use the formula πr²h. That means, we do π·5·5·6, which is equal to around 471.24 cubic inches. However, we need to find the volume of half that cylinder, so we divide that answer by two. That should be about 235.62 cubic inches.

For the volume of the other prism, we simply have to do length times height times width, or 6·8·10. That is equal to 480 cubic inches, which is the volume of that prism.

To find the volume of the whole composite figure, you simple have to add the two underlined volumes above.

235.62+480= 715.62in³, or about 716in³.

Hope this helps.

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X/3 - 38 =42 what is the value of x

madam [21]

X/3 - 38 = 42

x/3 = 80

x = 240

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4 years ago

Determine the discriminant for the given equation x^2+4x+5=0. Then describe the roots(how many and what type).

Fed [463]

Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c

Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4

-4 < 0, therefor there are no roots

(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)

3 0

4 years ago

You open a bank account with $100 and deposit 15 every week. Create an equation to model the total amount of money,y, in dollars

Charra [1.4K]

Answer:

$Y = 15x+ 100$

x = 10 months

Step-by-step explanation:

Given:

Initial deposit = $100

Weakly deposit = $15

Solution:

We need to create an equation where total amount is y is equal to initial deposit plus multiplication of weakly deposit and month x, so the equation is written as.

$Y = 15x+ 100$ ---------(1)

Where:

Y = Total amount

x = Number of months.

Second thing we need to find the month for y = $250

Now, we substitute y = 250 in equation 1.

$250 = 15x+ 100$

$15x=250-100$

$15x =150$

$x=\frac{150}{15}$

x = 10 months

Therefore, we need to required 10 months for $250.

4 0

3 years ago

PLEASE SOMEONE HELP ME!!! I'm stuck on this problem!!! (THE DIRECTION IS ---"Find the area of the figure")

svetlana [45]

A = 3,953 in²

You find the area of the whole triangle:
1/2bh = 1/2(63+31)(63+62) = 5875

Then subtract the missing rectangle:
lw = (62)(31) = 1922

5875 - 1922 = 3953 inches

Since you're multiplying inches by inches, it's inches².

5 0

4 years ago

Read 2 more answers

I need explanations for Mathematical Proofs.

erma4kov [3.2K]

Answer:

Proofs employ logic expressed in mathematical symbols, along with natural language which usually admits some ambiguity. In most mathematical literature, proofs are written in terms of rigorous informal logic.

According to Bleiler-Baxter & Pair [22], for a mathematician, a proof serves to convince or justify that a certain statement is true. But it also helps to increase the understanding of the result and the related concepts. That is why a proof also has the role of explanation.

There are many different ways to go about proving something, we'll discuss 3 methods: direct proof, proof by contradiction, proof by induction. We'll talk about what each of these proofs are, when and how they're used. Before diving in, we'll need to explain some terminology.

Although I will focus on proofs in mathematical education per the topic of the question, first and foremost proofs are so hard because they involve taking a hypothesis and attempting to prove or disprove it by finding a counterexample. There are many such hypotheses that have (had) serious monetary rewards available.

In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence by a rule of inference.

All mathematicians in the study considered proofs valuable for students because they offer students new methods, important concepts and exercise in logical reasoning needed in problem solving. The study shows that some mathematicians consider proving and problem solving almost as the same kind of activities.

More information for you..

https://youtu.be/V5tUc-J124s

https://youtu.be/dMn5w4_ztSw

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3 years ago