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3 years ago

70 POINTS!!!!URGENT PLS HELP!!!

Mathematics

1 answer:

forsale [732]3 years ago

7 0

Answer:

Exact form : y=4 , -6/5

Decimal form : y=4 , -1.2

Mixed Number form : y=4 , -1 1/5

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps you out and is what you were looking for! ☺

-Karleif-

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Find the VOLUME of this composite solid.

Black_prince [1.1K]

Answer:

(294π +448) cm³ ≈ 1371.6 cm³

Step-by-step explanation:

The half-cylinder at the right end has a radius of 7 cm, as does the one on top. Together, the total length of these half-cylinders is 8 cm + 4cm = 12 cm. That is equivalent in volume to a whole cylinder of radius 7 cm that is 6 cm long.

The cylinder volume is ...

V = πr²h = π(7 cm)²(6 cm) = 294π cm³

The cuboid underlying the top half-cylinder has dimensions 4 cm by 8 cm by 14 cm (twice the radius). So, its volume is ...

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2 years ago

△HFM∼△PST

loris [4]

Answer:

The perimeter of △HFM is 50.75 units

Step-by-step explanation:

<u><em>The correct picture of the question in the attached figure</em></u>

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

we have

△HFM∼△PST ----> given problem

step 1

Find the scale factor

Let

z ----> the scale factor

$z=\frac{HF}{PS}$

substitute the given values

$z=\frac{14}{8}=1.75$

step 2

Find the perimeter of triangle PST

Remember that the perimeter of a triangle is the sum of its three length sides

$P=8+9+12=29\ units$

step 3

Find the perimeter of triangle HFM

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor

$29(1.75)=50.75\ units$

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