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RoseWind [281]
2 years ago
8

What is fraction of 7/8+3/4

Mathematics
1 answer:
Dafna11 [192]2 years ago
4 0
The exact form would be 13/8. But, the mixed number form is 1 5/8.
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Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.
Leviafan [203]

Volume\,\,of\,\,cone=1527.1\,\,cm^3

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

We are given:

π = 3.14

Length = 27 cm

Diameter = 15 cm

The formula used to find Volume of cone is:

Volume\,\,of\,\,cone=\frac{1}{3}\pi  r^2h

We are given diameter but we need radius in the formula

So, Radius = Diameter/2 = 15/2 = 7.5 cm

We need to find height of cone.

Using Pythagoras theorem:

h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93

Volume\,\,of\,\,cone=1526.62

Rounding off to the nearest tenth:

Volume\,\,of\,\,cone=1527.1\,\,cm^3

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

  • brainly.com/question/12497249
  • brainly.com/question/6443737

#learnwithBrainly

6 0
3 years ago
From the 12 players who will travel, the coach must select her starting line-up. She will select a player for each of the five p
gizmo_the_mogwai [7]

Answer:

990

Step-by-step explanation:

The center position can be selected in 3 different ways, the other 4 players can be selected in combinations of 11 players (the center is already selected) taken 4 at a time.

By the Fundamental Principle of Counting, there are

3\displaystyle\binom{11}{4}=3*\displaystyle\frac{11!}{4!(11-4)!}=3*\displaystyle\frac{11!}{4!7!}=990

ways for her to select the starting line-up.

7 0
3 years ago
Need help with 3 and 4 consumer math plz
ratelena [41]

Answer:

3) C) $792.50

4) D) $707.50

Step-by-step explanation:

3) Home price = $ 253,600

Mortgage rate = 3.75% APR

Therefore, monthly rate = 3.75% divide by 12

= 0.0375/12

= 0.003125

1st month interest = principle * 0.003125

= 253600*0.003125

=$792.50

3) Answer: $792.50

4) You paid $1500

The first monthly interest = $792.50

Principal paid in the first month = 1500 - 792.50

= $707.50

Answer: D) $707.50

Thank you.

6 0
2 years ago
I need help with this​
Ulleksa [173]
No, tahts the answer
8 0
3 years ago
Cidnee is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounces and that 1 cylinder
vitfil [10]

Answer:

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Step-by-step explanation:

Let be x and y the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:

i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>

4\cdot x +5\cdot y = 32\,oz (Eq. 1)

ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>

x + 8\cdot y = 35\,oz (Eq. 2)

Now we solve the system of linear equations algebraically:

From (Eq. 2):

x = 35 - 8\cdot y

(Eq. 2) is (Eq. 1):

4\cdot (35-8\cdot y) + 5\cdot y = 32

140-32\cdot y +5\cdot y = 32

32\cdot y - 5\cdot y = 140-32

27\cdot y = 108

y = 4\,oz

From (Eq. 2):

x = 35 - 8\cdot (4)

x = 35 - 32

x = 3\,oz

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

4 0
3 years ago
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