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IRINA_888 [86]
3 years ago
10

Evaluate the following algebraic expression for the given value of the variable ​

Mathematics
1 answer:
Maru [420]3 years ago
4 0

Answer:

\boxed{8}

Step-by-step explanation:

-Solve the following expression when x = 4:

\frac{5x + 12}{4}

-Apply the value of x onto the equation:

\frac{5x + 12}{4}

\frac{5(4)+ 12}{4}

-Multiply both the 5 and 4:

\frac{5(4)+ 12}{4}

\frac{20+ 12}{4}

-Add both 20 and 12:

\frac{20+ 12}{4}

\frac{32}{4}

-Divide 32 by 4:

\frac{32}{4}

\boxed{8}

So, therefore, the final answer is 8.

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What is the reciprocal of 3^-2 ?​
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Answer:

1/3^2

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3 years ago
A pendant is formed using a cylinder and cone. Once assembled, as shown below, the pendant is painted. How many square millimete
solmaris [256]
Surface area of cylinder is given by area of circle + area of the rectangle that curved around the cylinder

Area of the base of the cylinder = \pi r^{2} = 8^{2} \pi =64 \pi
Area of the cylinder 'wall' = width × length = 12×2r \pi=12×16 \pi=192 \pi

Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.

Surface area of cone is given by \pirl where l is the slanted height of the cone

SA of cone = \pi (8)(10)=80 \pi

Hence total painted surface area is 80 \pi +192 \pi +64 \pi =336 \pi


3 0
3 years ago
Read 2 more answers
Find the value of A when pi= 3.142 and r= 5
guapka [62]

Answer:

7.855

Step-by-step explanation:

A=pi*r^2=3.142*5^2=3.142*25=7.855

7 0
3 years ago
Starting with some gold coins and some empty
Nezavi [6.7K]

Answer:

162

Step-by-step explanation:

5 0
2 years ago
"What impact can a very large volcanic eruption have on earth's climate?" 1. It will warm the earth's surface as more lava is re
Ludmilka [50]

The impact of a very large volcanic eruption that have an effect on earth's climate is <u>It will cool the earth's surface as radiation from the sun is blocked from entering the atmosphere.</u>

<u />

Explanation:

A very large volcanic eruption will spew tonnes of fine dust particles (pyroclast) into the atmosphere. These particles will be spread over large area by wind and the particles will remain suspended in the air for longer periods before they settle on the earth's surface.

The suspended particles will block the sun, and by reflecting most of the sunlight before it reaches the earth’s surface, will cause the surface temperatures to drop.  

This same phenomenon caused the demise of dinosaurs after a meteorite strike threw dust particles into the atmosphere that lingered for a long time smothering plant life too.

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4 years ago
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