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yaroslaw [1]
3 years ago
6

Evaluate using distributive property -7/3*5/9+13/3+4/9*-7/3

Mathematics
1 answer:
andre [41]3 years ago
6 0
-7/3*5/9+13/3+4/9*-7/3=2
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A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: The f
Romashka-Z-Leto [24]

The following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

To answer the question, we need to know what volume is.

<h3>What is volume?</h3>

This is the capacity of a material or container.

Since the silo is made of a cylindrical and a conical part, we need to find the volume of both parts.

<h3>Volume of cylindrical part.</h3>

So, the volume of the cylindrical part V = πr²h where

  • r = radius of cylidrical part = 4 ft/2 = 2 ft and
  • h = length of cylindrical part = 8 ft.

So, V = πr²h

V = π(2 ft)²8 ft

<h3>Volume of the conical part</h3>

The volume of the conical part is given by V' = 1/3πr²h where

  • r = radius of cone = 2ft and
  • h = height of cone.

Since the entire length of silo is 9.5 ft and length of cylindrical part is 8 ft, then the height of cone is h' = 9.5 ft - 8 ft

So, V' = 1/3πr²h'

V' = 1/3π(2 ft)²(9.5 ft - 8ft)

<h3>Total volume of grains in silo</h3>

The total volume of grains equals the total volume of the silo V" = V + V'

V" = π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

So, the following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

Learn more about volume here:

brainly.com/question/25248189

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7 0
2 years ago
The librarian noticed that 60% of seventh graders checked out fantacy books. About how many of 240 seventh graders would check o
ehidna [41]

Answer:

The correct answer is 144.

Step-by-step explanation:

The librarian noticed that 60% of total seventh graders checked out fantasy books from the library.

Total number of seventh graders is given to be 240.

Number of seventh grade students who checked out fantasy books = 60% of 240 = 0.6 × 240 = 144.

Thus out of 240 seventh graders 144 of them would check out  a fantasy book from the library.

4 0
3 years ago
Use circle C<br><br> classify arc MNO in circle C
inna [77]

Answer:

Semicircle

Step-by-step explanation:

As we can see, the arc is bounded by the chord MO

since the chord passes through the center of the circle, we have it that the chord is a diameter

Mathematically, an arc bounded by a diameter represents half of a circle

So we can conclude that the arc MNO in circle C is a semicircle

5 0
2 years ago
Find r<br> 25= r•r•8<br> hurry go fast please
ELEN [110]

Answer:

r = \frac{5}{2\sqrt{2} } \\r = -\frac{5}{2\sqrt{2}}

Step-by-step explanation:

25= r•r•8 ⇔ 25/8 = r²

then

r^{2} =(\frac{5}{2\sqrt{2} } )^{2} \\\\Then\\\\r = \frac{5}{2\sqrt{2} } \\Or\\r = -\frac{5}{2\sqrt{2}}

7 0
3 years ago
The top of a picnic table has a width represented by 2x in inches. It has an area represented by the expression 6x2 – 14x in squ
baherus [9]

Answer:

So length of top of table is 3x-7 inches.

Step-by-step explanation:

Here we are given that the top of the table has a width that is given by 2x inches.

The area of the top is given by:

Area=6x^{2}-14x

Now the top of the table is of the shape of rectangle and area of rectangle is given by:

A=l*w

where l is length of the table and w is width of the table.

Plugging the values of A and w in the formula we have:

6x^{2}-14x=l*2x

Dividing by 2x,

l=3x-7 inches

So length of top of table is 3x-7 inches.

8 0
3 years ago
Read 2 more answers
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