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2 years ago

Evaluate each expression if a=2, b=3 and c=4 A.) 2a+4b-c B.) 6(a+c)-b

Mathematics

1 answer:

djyliett [7]2 years ago

4 0

Answer:

Step-by-step explanation:

A.) 2a+4b-c: Replacing a with 2, b with 3 and c with 4, we get:

2(2) + 4(3) - (4) = 4 + 12 - 4 = 12

B.) 6(a+c)-b: Replacing a with 2 and c with 4, we get 6(2 + 4) - 3.

The work inside parentheses should be done first, resulting in 6(6) - 3.

This comes out to 33.

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Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!

Anni [7]

Answer:

The volume of the composite figure is:

312 ft^3

Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

VOLUME OF THE CUBE.

Finding the volume of a cube is actually simple, you only must follow the next formula:

Volume of a cube = base * height * width

So:

Volume of a cube = 6 ft * 6 ft * 6 ft
Volume of a cube = 216 ft^3

VOLUME OF THE PYRAMID.

The volume of a pyramid with a square base is:

Volume of a pyramid = 1/3 B * h

Where:

B = area of the base.

h = height.

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

Volume of a pyramid = 1/3 36 ft^2 * 8 ft
Volume of a pyramid = 96 ft^3

Finally, we add the volumes found:

Volume of the composite figure = 216 ft^3 + 96 ft^3
Volume of the composite figure = 312 ft^3

5 0

2 years ago

HELP ASAP!!

Monica [59]

B because it makes sense

3 0

2 years ago

Read 2 more answers

What happens if you label the starting number x

tester [92]

You can use any letter but when you label it x you find x

3 0

2 years ago

Please answer these questions

puteri [66]

Answer:

Step-by-step explanation:

(1)The units for measuring angles are degrees and radians

A circle is 360° which is equal to 2π radians

1°=π/180

To convert angle measurement from degrees to radians multiply the value of degrees by π/180

(11)

To convert angle measurement from radians to degree multiply the value of radian by 180/π

(111)Yes it matters because you will use different formulas to calculate the length of the arc

For example , when the central angle is in radians, the formula to apply is;

⇒ S=rФ -------------where r is the radius of circle and Ф is angle in radians and S is the arc length.

⇒ When the central angle value is in degrees , the formula to apply is

Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle

2. $sin\frac{17\pi }{6} \\$

we know π=180°

hence 17/6 π=?---------------cross multiply

$\frac{17\pi }{6} *180\\\\\\=17\pi *30\\\\\\=510\pi$

Apply trigonometry

Find sine 510°

Sine (510°-360°)= sine 150°

Sine 150° = sine 30° = 1/2-----------------2nd quadrant

This means sine 510° = 1/2

6 0

2 years ago

Simplify:(- 17)^8÷(-17)^2

lidiya [134]

The simplified answer is $-17^6\\$

If you are dividing powers with like terms you subtract the denominator to the numerator.

$\frac{-17^8}{-17^2} = -17^6$

8 0

2 years ago