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3 years ago

The cube of the sum of a number and 8

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

7 0

Answer:

Step-by-step explanation:

Let the number by x

Sum of x and 8: x +8

(x + 8)³

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Find the missing side length BM. Round answer to the nearest tenth.

xenn [34]

Answer: BM = 21.4

Step-by-step explanation:

Considering the given triangle BMS, to determine angle BM, we would apply the sine rule. It is expressed as

m/SinM = s/SinS = b/SinB

Where m, s and b are the length of each side of the triangle and angle M, Angle S and angle B are the corresponding angles of the triangle.

From the information given,

Angle M = 102°

Angle B = 35°

Angle S = 180 - (102 + 35) = 43°

b = MS = 18

s = BM

Therefore

18/Sin 35 = BM/Sin 43

Cross multiplying, it becomes

BMSin35 = 18 × Sin 43

BM × 0.5736 = 18 × 0.6820

0.5736BM = 12.276

Dividing the left hand side and the right hand side of the equation by 0.5736, it becomes

0.5736BM/0.5736 = 12.276/0.5736

BM = 21.4

6 0

3 years ago

Can someone explain to me what rate of change is and how you figure it out.

Cloud [144]

ROC is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another; graphically, the rate of change is represented by the slope of a line.

5 0

3 years ago

#3 (1 pt) A certain baseball card is very rare and is currently worth $2000. If the price of this card increases by 3% a year,

Galina-37 [17]

Answer:

$2000x(1.03)ˣ

Step-by-step explanation:

This is known as compound interest.

100% + 3% = 103%, so we put this into a decimal: 1.03

We now put this into the equation:

$2000x(1.03)ˣ

If you want to work out the price after, say 3 years, then you would change x to 3, so the equation becomes

$2000x(1.03)³

You can then use a calculator to work out the answer.

6 0

2 years ago

Can someone please help me?

Vladimir79 [104]

Answer:

Option D is the correct option.

Step-by-step explanation:

y = - 2x - 3 → Equation ( i )

y = 3x + 2 → Equation ( ii )

Using elimination method

y + 2x = - 3

y - 3x = 2

---------------------

5x = - 5

Divide both sides of the equation by 5

$\frac{5x}{5} = \frac{ - 5}{5}$

Calculate

$x = - 1$

Again, Putting the value of x in equation ( ii ) in order t get the value of y

$y = 3x + 2$

plug the value of x

$= 3 \times ( - 1) + 2$

Any expression multiplied by ( - 1 ) equals it's opposite

$= - 3 + 2$

Calculate

$= - 1$

Therefore, The possible solution of the system is the ordered pair ( x , y )

$(x \:, y \: ) = ( - 1 \:, - 1)$

-----------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

$- 1 = - 2 \times ( - 1) - 3$

$- 1 = 3 \times ( - 1) + 2$

Simplify the equation

$- 1 = - 1$

Since all the equalities are true, the ordered pair is the solution of the system.

Hope this helps..

Best regards!!

7 0

3 years ago

The radius of a semicircle is 3 feet. What is the semicircle's area?<br>Use 3.14 for Pi

valentinak56 [21]

Answer:

14.13 ft²

Step-by-step explanation:

The area of a semicircle is

$= \frac{\pi \: {r}^{2} }{2}$

We were given the radius of the semicircle to be: r=3 feet.

We were also asked to use π as 3.14.

We substitute into the formula to get:

$= \frac{3.14 \times {3}^{2} }{2}$

This is the same as:

$= \frac{3.14 \times 9}{2}$

$= 3.14 \times 4.5$

$= 14 .13 {ft}^{2}$

The area of the semicircle is 14.13 ft²

5 0

3 years ago