-X + 5+ 4x<br> simplify the expression

An empty cup in the shape of a cylinder is being filled with water . The cup is filled at constant rate . The table below shows

KatRina [158]

<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. I'll help you to understand this problem, but I have to assume some things.

We know that the empty cup in the shape of a cylinder is being filled with water. Suppose the volume of this cylinder is:

$V=450cm^3$

Suppose that the cup is filled at a constant rate of $s=50cm^3/s$ , so in 7 seconds the cup is filled the following amount:

$V'=50\times 7=350cm^3$

So this represents the following percentage:

$\frac{V'}{V}\times100=\frac{350}{450}\times 100=77.78\%$

Finally, after 7 seconds the cup is 77.78% filled

3 0

3 years ago

Read 2 more answers

Given: △ABC, m∠A=60°,<br> m∠C=45°, AB=9<br> Find: Perimeter of △ABC,<br> Area of △ABC

stellarik [79]

Answer:

Perimeter of ΔABC: $\frac{27}{2}$ + $\frac{9}{2} * \sqrt6$ units

Area of ΔABC: $\frac{81}{8}*\sqrt3 + \frac{243}{8}$ units

<u>Skills required: HS Geo, Special Triangles</u>

Step-by-step explanation:

1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.

2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.

This states that if the side opposite the 30 degree angle is $x$ , the side opposite the 60 degree angle is $x*\sqrt3$ , and the side opposite the 90 degree angle is $2x$ .

AB is 9 units, and it is opposite the 90 degree angle. This means that $2x=9, x = \frac{9}{2}$ ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is $\frac{9}{2}$ units. Segment BD (the height) is $\frac{9}{2} * \sqrt3$ .

3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.

This states that if the side opposite the 45 degree angle is $x$ , the other side opposite a 45 degree angle is also $x$ , but the hypotenuse (side opposite the right (90 degree) angle) is $\sqrt{2}*x$ .

BD is $\frac{9}{2} * \sqrt3$ , which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is $\frac{9}{2} * \sqrt6$ .

4) Area is $\frac{1}{2}*b*h$ , the base (b) is AC (which is $\frac{9}{2}+\frac{9}{2}*\sqrt3$ ), the height is BD ( $\frac{9}{2}*\sqrt3$ ). When multiple you will get $\frac{81}{4}*\sqrt3 + \frac{243}{4}$ , then this multiplied by 1/2 is

$\frac{81}{8}*\sqrt3 + \frac{243}{8}$ <--> this is the area!

5) Perimeter is just the sum of all side: 9 + $\frac{9}{2}$ + $\frac{9}{2} * \sqrt6$ = $\frac{27}{2}$ + $\frac{9}{2} * \sqrt6$ unit

6 0

2 years ago

What is the volume, in cubic feet, of a cone that has a base

sineoko [7]

Answer:

I AM GROOT I AM GROOT

Step-by-step explanation:

5 0

1 year ago

A town has a population of 13,000 and grows at 5% every year what will the population be after 11 years to the nearest whole num

scoray [572]

This question is based on the concept of
amount of interest. Therefore, 22,234 would be
the population after 11 years, to the nearest
whole number.
Given:
A town has a population of 13000 and grows at
5% every year.
We need to determined the population after 11
years, to the nearest whole number.
We know that,
Formula =A = P(1+ r)
Where, p be the population. r is the rate and t is
the time.
P= 13000,
r= 5%
†= 11
Now put all these values in formula.
We get,
5
A = 13000(1 +
A
= 13000(1 + 0.05)11
A
= 1300022, 234.41(0.95)

5 0

1 year ago

7. Eduardo has $150 in savings and makes $9.75 per hour. Jennifer has $90 in savings and earns $15.25 for each

Stells [14]

Answer:

a) 150-90 = h(15.25 -9.75)

b) 10.91

Step-by-step explanation:

a) Jennifer has 150 -90 = 60 less in savings than Eduardo, but she is earning 15.25 -9.75 = 5.50 more per hour. An equation she can use to figure her hours is ...

60 = 5.50h . . . . for h hours worked.

In 'raw' form, that might be ...

150 -90 = (15.25 -9.75)h

__

b) Solving the above equation, we get ...

60/5.50 = h ≈ 10.90909 ≈ 10.91 . . . hours

4 0

3 years ago

-X + 5+ 4x simplify the expression