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3 years ago

PLEASE ANSWER QUICKLY ITS TIMED!!! Which is the correct calculation for the volume of the prism

Mathematics

1 answer:

IgorLugansk [536]3 years ago

5 0

Answer:

$=49.5cm^3$

so B is the answer $49\frac{1}{2} cm^3$

Step-by-step explanation:

$V=whl=2.75*6*3=49.5cm^3$

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Points M, N, D, and E are on a circle with center K. Also, ED is a diameter of the circle

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Step-by-step explanation:

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3 years ago

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nasty-shy [4]

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The diameter of a iron sphere is 8 cm. It is beaten and drawn into a wire with a diameter of 2 mm. Find the length of the wire.

djyliett [7]

Answer : The length of the wire is, 8533 cm

Step-by-step explanation :

As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.

Volume of iron sphere = Volume of cylindrical wire

The formula will be:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

where,

$r_1$ = radius of sphere = $\frac{Diamtere}{2}=\frac{8cm}{2}=4cm$

$r_2$ = radius of cylindrical wire = $\frac{Diamtere}{2}=\frac{2mm}{2}=1mm=0.1cm$

h = height of cylindrical wire or length of wire

Now put all the given values in the above formula, we get:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

$\frac{4}{3}\times r_1^3=r_2^2h$

$\frac{4}{3}\times (4)^3=(0.1)^2h$

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Therefore, the length of the wire is, 8533 cm

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3 years ago

The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fr

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2 years ago

If x^2-x-6 and x^2+3x-18 hacpve a common factor (x-a) then find the value of a.

DedPeter [7]

Answer:

a = 3

Step-by-step explanation:

Factor both expressions

x² - x - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are - 3 and + 2 , since

- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus

x² - x - 6 = (x - 3)(x + 2)

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x² + 3x - 18

consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3 , since

6 × - 3 = - 18 and 6 - 3 = + 3 , thus

x² + 3x - 18 = (x + 6)(x - 3)

Both expressions have a common factor of (x - 3)

Compare with (x - a ), then a = 3

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2 years ago

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