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4 years ago

Which unit of measurement would be appropriate for the volume of a sphere with a radius of 2 meters

Mathematics

1 answer:

mr Goodwill [35]4 years ago

3 0

The volume would be in cubic meters.

V = (4/3) pi r^3 = 4/3 * pi * 2^3 = 32pi /3 m^3 or 33.51 m^3 to nearest hundredth

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Find the lengths of the sides of the triangle PQR. P(2, −3, −4), Q(8, 0, 2), R(11, −6, −4) |PQ| = Incorrect: Your answer is inco

Aloiza [94]

Answer:

the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle

Step-by-step explanation:

Hello, I think I can help you with this

If you know two points, the distance between then its given by:

$P1(x_{1},y_{1},z_{1} ) \\P2(x_{2},y_{2},z_{2})\\\\d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}+(z_{2}-z_{1} )^{2} }$

Step 1

use the formula to find the length PQ

Let

P1=P=P(2, −3, −4)

P2=Q=Q(8, 0, 2)

$d=\sqrt{(8-2)^{2} +(0-(-3))^{2}+(2-(-4))^{2}} \\ d=\sqrt{(6)^{2} +(3)^{2}+(6 )^{2}}} \\d=\sqrt{36+9+36}\\d=\sqrt{81} \\d=9\\$

the length PQ is 9 units

Step 2

use the formula to find the length QR

Let

P1=Q=Q(8, 0, 2)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-8)^{2} +(6-0))^{2}+(-4-2 )^{2}} \\\\\\d=\sqrt{(3)^{2} +(6)^{2}+(-6 )^{2}}} \\d=\sqrt{9+36+36}\\d=\sqrt{81} \\d=9\\$

the length QR is 9 units

Step 3

use the formula to find the length PR

Let

P1=P(2, −3, −4)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-2)^{2} +(-6-(-3)))^{2}+(-4-4 )^{2}} \\\\\\d=\sqrt{(9)^{2} +(-6+3)^{2}+(-4-(-4) )^{2}}} \\d=\sqrt{81+9+0}\\d=\sqrt{90} \\d=9.48\\$

the length PR is 9.48 units

Step 4

is it a right triangle?

you can check this by using:

$side^{2} +side^{2}=hypotenuse ^{2}$

Let

side 1=side 2= 9

hypotenuse = 9.48

Put the values into the equation

$9^{2} +9^{2} =9.48^{2}\\ 81+81=90\\162=90,false$

Hence, the triangle is not a right triangle

Step 5

is it an isosceles triangle?

In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.

Now side PQ=QR, so this is a isosceles triangle

Have a great day

3 0

3 years ago

Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food

blondinia [14]

Answer:

The dog needs eat 4.6 meals

Step-by-step explanation:

Due to:

7/8 lb ----> 4 meals

1 lb --------> X meals

X = [(1 lb)*(4 meals)] / [7/8 meals]

X = 4.6 meals

Best regards

4 0

3 years ago

If you have 2/3 and 4/8 are they equivalent? No

damaskus [11]

Answer:

No is correct

Step-by-step explanation:

convert 2/3 into 6ths

4/6 = 8/12

so no, non of them equal to 4/8

5 0

3 years ago

Read 2 more answers

Please help. I've been trying to figure this out for an hour and I still don't understand how it's 72. I feel really stupid beca

rosijanka [135]

Answer:

C. $72\pi$

Step-by-step explanation:

The radius of the circle is 24 units, then the area of the whole circle is

$\pi r^2=\pi \cdot 24^2=576\pi \ un^2.$

The shaded circle is limited by 45° angle, so its area is

$\dfrac{45}{360}=\dfrac{1}{8}$

of the area of the whole circle.

The area of the shaded circle is

$\dfrac{1}{8}\cdot 576\pi =72\pi \ un^2.$

3 0

4 years ago

Please answer fast!!!According to the Triangle Sum Theorem, which combinations of side lengths would make a possible triangle? C

saw5 [17]

Answer:

Is there a picture of it?

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers