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2 years ago

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Lisa gets $ 50 for free. She buys colored pencils for $ 5.90, a book for $ 8, a CD for $ 12 50ct and 3 scoops of ice cream at 90

ct each. She takes the rest to the bank. Before that, calculate how much Lisa's new savings account balance

1 answer:

Nikolay [14]2 years ago

8 0

20.9 cause you just subtract everything from the original number

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How many solutions does the equation 3x+15=2x+10+x+5 have

sveticcg [70]

Answer:

Infinite

Step-by-step explanation:

3x+15=2x+10+x+5

grouping

3x+15=3x+15

If you have a equation where both sides are the exactly the same, the solutions are infinite. This is written as: x€ℝ

3 0

2 years ago

Find the area of the shaded region

ale4655 [162]

Answer:

379.56ft²

Step-by-step explanation:

Oh lordy why, okay we got this:

So we're going to start with the area of the square, this is easy because all of the sides are 25ft, so we just have to plug into our formula for squares (base x height):

25 x 25 = 625

Now we have to do the semicircle, remember that the formula for the area of a circle is pi x radius², we're using 3.14 for pi, so we have to find the radius (half the diameter):

25 ÷ 2 = 12.5

12.5² = 156.25

3.14 x 156.25 = 490.625‬

Normally we would stop here, but because this is only a semicircle, we have to divide by two:

490.625‬ ÷ 2 = 245.3125‬

So, now that we have our two areas, we have to subtract the semicircle from the square:

625 - 245.3125‬ = 379.6875‬

Now, I realize that his answer isn't in your cute little word bank, but that because I rounded pi, so the closest is 379.56

So, the area of the figure is 379.56ft²

if this is wrong let me know so I can fix it

hope this helps:)

5 0

2 years ago

If a wind turbine makes 76 full revolutions every 1 minute what is it’s angular speed?

Maslowich

Answer: $7.958 \frac{rad}{s}$

Step-by-step explanation:

We are told the wind turbine makes 76 revolutions in 1 minute. This means the angular speed $\omega$ of the object in revolutions per minute (rpm) is:

$\omega=76 rpm=76 \frac{rev}{min}$ (1)

However, we have to convert this to $\frac{rad}{s}$ , since this is the unit used in the International Systme of Units for angular speed.

So, we can do this knowing that:

$\omega=\frac{2 \pi}{T}$ (2)

Where:

$2 \pi=360\°$ is the value of one revolution

$T=1 min=60 s$ is the period of rotation

With this information in mind, let's make the conversion:

$\omega=76 \frac{rev}{min}. \frac{1 min}{60 s}. \frac{2 \pi}{1 rev}$ (3)

$\omega=7.958 \frac{rad}{s}$ (4) This is the wind turbine angular speed

3 0

2 years ago

Jason is trying to prove that this quadrilateral is a rhombus. Using the slope formula, he finds that opposite sides of the poly

Hunter-Best [27]

Opposite sides being parallel proves that hte figure is a parallelogram. The sides only appear to be equal so his conclusion is not valid. He would need to show that 2 adjacent sides of the parallelogram are equal ( using the distance formula) to prove that it is a rhombus.

4 0

2 years ago

Read 2 more answers

The graph H shows the height, in meters, of a

olga nikolaevna [1]

Answer:

a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.

b) $D=[0,5]$

c) $R=[0,35]$

Step-by-step explanation:

a) H0 is the initial height. It means the height of the rocket at time 0 s.

This value is 15 m.

b) The domain is all values of t between 0 and 5 seconds.

$D=[0,5]$

c) The range is all values of height from 0 to 35 meters.

$R=[0,35]$

I hope it helps you!

8 0

2 years ago