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icang [17]
3 years ago
14

PLEASE HELP!!! WILL GIVE BRAINLEST AWARD FOR MOST DESCRIPTIVE

Mathematics
1 answer:
Rashid [163]3 years ago
3 0
The law of cosines states that:

c^2=a^2+b^2-2abcosC

You already have all the values for the variables with the exception of x so:

x^2=25+100-100cos60

x=√(125-100cos60)

x=√75

x≈8.66 to nearest one-hundredth...
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A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes d
alekssr [168]

Answer:

<em>128</em>

Step-by-step explanation:

<em>Method A.</em>

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

<em>Method B.</em>

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

4 0
3 years ago
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A sample of students is taken from the school's A honor roll. The school
Lorico [155]
360 that is the answer to how many honors there are
5 0
2 years ago
Find the probability of the independent events. Tossing heads with a coin, and a spinner labeled 1 - 8 landing on a 4.
Shtirlitz [24]
The answer is B 1/2 
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8 0
3 years ago
QRST is a parallelogram. Find b.
Ilya [14]

Because QRST is a parallelogram,

QR = TS, or

b+11=2b, so

b=11.

7 0
3 years ago
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154 sq. cm is the area of a circle <br> so find its radius <br> <img src="https://tex.z-dn.net/?f=%5Cpi%20%3D%5Cfrac%7B22%7D%7B7
Zina [86]

Answer:

r = 7 cm

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( where r is the radius )

Given A = 154 , then

πr² = 154 , that is

\frac{22}{7} r² = 154 ( multiply both sides by 7 to clear the fraction )

22r² = 1078 ( divide both sides by 22 )

r² = 49 ( take square root of both sides )

r = \sqrt{49} = 7 cm

6 0
2 years ago
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