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3 years ago

What is 5/8 + 3/4 equal?

Mathematics

2 answers:

True [87]3 years ago

7 0

11/8 or 13/8 is the answer.

NeX [460]3 years ago

6 0

11/8 you have to create a common denominator

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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

I NEED HELP WITH THIS MATH PROBLEM!!!!

Natalka [10]

Answer:

Step-by-step explanation:

6f - 1 + 7f - 8 = 6f + 7f - 1 - 8

= 13f - 9

Combine like terms. Like terms have same variable with same power.

6 0

3 years ago

Read 2 more answers

Can someone help me please

dolphi86 [110]

Answer:

3.5

Step-by-step explanation:

If you divide x from y on each row, you will always get 3.5

8 0

3 years ago

Solve the inequality and express your answer in interval notation. x^2+6x+7<0

d1i1m1o1n [39]

<h2>Hello!</h2>

The answer is:

The interval notation will be: (-∞,-1.59) and (-4.41,∞+)

To solve the expression, we need to perform the following steps:

- Find the roots or zeroes of the expression:

Using the quadratic equation, we have:

$\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}$

We are given the quadratic expression:

$x^{2} +6x+7$

Where,

$a=1\\b=6\\c=7$

Then, substituting and calculating we have:

$\frac{-6+-\sqrt{6^{2}-4*1*7 } }{2*1}=\frac{-6+-\sqrt{36-28 } }{2}\\\\\frac{-6+-\sqrt{36-28}}{2}=\frac{-6+-\sqrt{8}}{2}\\\\x_{1}=\frac{-6+\sqrt{8}}{2}=\frac{-6+2.82}{2}=-1.59\\\\x_{2}=\frac{-6-\sqrt{8}}{2}=\frac{-6-2.82}{2}=-4.41$

- Inequality interpretation:

Now that we already know the roots of the quadratic expression, and we can see that the parabola open upwards (positive quadratic coefficient), we can conclude that the function is less than 0 between the numbers -4.41. and -1.59

The interval notation will be:and (-∞,-1.59) and (-4.41,∞+)

Have a nice day!

Note: I have attached a picture for better understanding.

3 0

3 years ago

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Solve for f. Show each step please . Circle your final answer. (4 points) 2d-5f=30

vlada-n [284]

For me I got ( f=2/5d-6 )

8 0

3 years ago

Read 2 more answers