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3 years ago

The GCF of the numbers in the expression (32 + 16)

Mathematics

2 answers:

katrin [286]3 years ago

3 0

If you break it down you will find it

32 blah
16×2 blah
8×2
4×2 the answer is 16
2×2

tekilochka [14]3 years ago

3 0

Its 45,60,330= GCF= 15

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goldenfox [79]

Answer:

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3 years ago

Evaluate the following expressions<br> 1)-8-(-4)=

Katarina [22]

I hope this helps you

-8+4

-4

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3 years ago

Line k contains the points (-4,0) and (3,2). line m contains the points (-3,2) and (4,0). if line k is written in the form y=m1x

Misha Larkins [42]

Answer:

Step-by-step explanation:

(-4,0) and (3,2)

m1=(2-0)/(3+4)=2/7

y=2/7x+b1, using point (-4,0) to find b1 (substitute x=-4 and y=0 in the form)

0=2/7*(-4)+b1 ⇒ b1= 8/7

-----

(-3,2) and (4,0)

m2=(0-2)/(4+3)= -2/7

y= -2/7x+b2, using point (4,0) to find b2 (substitute x=4 and y=0 in the form)

0= -2/7*4+b2 ⇒ b2=8/7

----

m1b2+m2b1= 2/7*8/7 -2/7*8/7=0

7 0

3 years ago

Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP

-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$$\Rightarrow \frac{h}{2}=r$

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

$$\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3$ (formula)

$$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3$

$$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3$

Hence it is true.

Option A, option C and option E are true.

6 0

3 years ago

Read 2 more answers

What is the diameter of a hemisphere with a volume of 2233\text{ cm}^3,2233 cm 3 , to the nearest tenth of a centimeter?

Agata [3.3K]

Answer:

The diameter of the hemisphere is 20.4 centimeters.

Step-by-step explanation:

The volume of an hemisphere is given by:

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

In this problem, we have that:

$V = 2233$

$\frac{2 \pi r^{3}}{3} = 2233$

$2\pi r^{3} = 3*2233$

$r^{3} = \frac{3*2233}{2\pi}$

$r = \sqrt[3]{\frac{3*2233}{2\pi}}$

$r = 10.2$

The radius is 10.2 centimeters.

The diameter is double the radius. So:

2*10.2 = 20.4

The diameter of the hemisphere is 20.4 centimeters.

5 0

3 years ago