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patriot [66]
4 years ago
10

Consider this composite figure.

Mathematics
1 answer:
Gnom [1K]4 years ago
5 0

Answer:

20π+4π/3

Step-by-step explanation:

Volume of a cone:

\pi r^{2} \frac{h}{3}

r=2

h=3

Volume = 4π

Volume of a cylinder:

\pi r^{2}h

r=2

h=4

Volume = 16π

Cone: Same formula

r=2

h=1

Volume = 4π/3

Figure: Add them up.

20π+4π/3

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In the school library, 28% of the books are non-fiction. If there are 1.224 fiction books in
denis-greek [22]

Answer:

1700 books

Step-by-step explanation:

We are given;

  • % of non-fiction books in the library as 28%
  • Number of fiction books in the library as 1,224 books

We are required to determine the total number of books.

First we determine the percentage of non-fiction books

We need to know that;

% of fiction books + % of non-fiction books = 100%

Therefore;

% of non-fiction books = 100 % - 28 %

                                    = 72%

Second we determine the total number of books

We know that;

Total number of books = 100%

But;

72% = 1,224 books

Therefore;

Total number of books = (1,224 × 100%) ÷ 72%

                                      = 1700 books

Hence, the library has a total number of 1700 books

7 0
3 years ago
Find the slope of the line that contains the points (-9, -3) and (-19, -3).
NNADVOKAT [17]

Answer:

Slope (m) = 0

Step-by-step explanation:

We will use this formula to find the slope⤵⤵⤵

\frac{y _{2} - y _{1}  }{x _{2} - x _{1}  }

(Sorry if it's a bit small btw)

Now we plug in the values accordingly:

-3 - (-3) = -3 + 3 = 0

-19 - (-9) = -19 + 9 = -10

Slope = 0/-10

So we have 0/-10, which means our slope is actually just 0.

(This also means that the line on the graph will be horizontal.)

Hope this helps you :)

7 0
3 years ago
Can you answer 15a and 15b.
Shtirlitz [24]
6 seconds at 20 feet per second is 6x20= 120
She's was at 350 feet so she started at 350-120= 230 feet when she got on the elevator
3 0
3 years ago
Write down the negation of each statement
prohojiy [21]

Answer:

1. ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y)

2. ∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)

Step-by-step explanation:

If we negate a quantified statement, first we negate all the quantifiers in the statement from left to right, ( keeping the same order ) then we negative the statement,

Here, the given statement,

1. ∃y ∈Z such that ∀x ∈Z, R (x + y)

By the above definition,

Negation of this statement is ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y),

2. Similarly,

The negation of statement ∀x ∈Z, ∃y∈Z such that R(x + y),

∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)

6 0
3 years ago
A recipe calls for 40 ounces of<br> meat. How many pounds of<br> meat does the recipe require?
I am Lyosha [343]

Answer:

2.5 pounds of meat

Step-by-step explanation:

One pound of meat is equal to 16 OZ

4 0
3 years ago
Read 2 more answers
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