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3 years ago

The volume of a cube is 2.744m square , find the length of one side of the cube.

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

5 0

Answer:

The length of one side of the cube is 1.4 m

Step-by-step explanation:

we know that

In a cube the length, the width and the height is the same

The volume of a cube is

$V=b^{3}$

where

b is the length side of the cube

In this problem we have

$V=2.744\ m^3$

substitute and solve for b

$2.744=b^{3}$

$b=\sqrt[3]{2.744}\ m$

$b=1.4\ m$

therefore

The length of one side of the cube is 1.4 m

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Find the measure of the missing sides in each special right triangle. Simplest radical form

lapo4ka [179]

Answer:

X= $8\sqrt{2}$ Y= $7\sqrt{2}$

Step-by-step explanation:

The first one is 45-45-90 right angled isosceles triangle.

The length of the hypotenuse ie.X can be found with the help of Pythagoras Theorem.

$a^{2} + b^{2} = X^{2}$

where a and b are the remaining sides of the triangle,

$8^{2} +8^{2} =X^{2} \\2*8^{2} =X^{2}\\X=8\sqrt{2}$

X= $8\sqrt{2}$

In the second triangle we have to apply trigonometry,

cos θ= $\frac{Length OfAdjacentSide}{LengthOfHypotenuse}$

cos 30°= $\frac{\sqrt{3} }{2}$

$\frac{\sqrt{3} }{2}$ = $\frac{Y}{14}$

Thus, Y= $7\sqrt{2}$ inches

6 0

3 years ago

(a) A photography student borrows RM2 500 to buy a camera. The bank loans this money at a rate of 9 % capitalized monthly. What

Monica [59]

Answer:

The student will have to reimburse 2,991.03 two years later.

Step-by-step explanation:

This is a compound interest problem:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

A is the amount the student will have to reimburse two years later.

P is his loan. so $P = 2,500$

The bank loans this money at a rate of 9 % capitalized monthly. This means that $r = 0.09$ and $n = 12$ , since the money is compounded monthly, this means, 12 times in a year.