How many solutions does <br> -1/2(4x-10)=5-2x

A cone with diameter 18 millimeters and height 11 millimeters.

bogdanovich [222]

Hello! :)

<h2>Answer:</h2>

All of the following statements about the cone are true.

2.) The radius is 9 mm.

3.) The base area is calculated using the radius.

4.) The volume is one-third the volume of a cylinder with the same height and diameter.

5.) The volume of the cone is 297 pi millimeters cubed.

<h2>Explanation:</h2>

The radius is always half the diameter, which is why the first choice is false, and the second choice is true.

When calculating the base, you need to use the radius. This means the third choice is true. The formula for the base area is π $r^{2}$

Volume of the cone:

V = $\frac{1}{3}$ π $r^{2}$ h

= $\frac{1}{3}$ × π × $9^{2}$ × 11

= 933.052233 mm²

Volume of a cylinder with the same height and diameter:

V = π $r^{2}$ h

= π × 81 × 11

= 891π

= 2799.15669 mm²

2799.15669 ÷ 3 = 933.052233

Option four is true.

297 × π = 933.05223 This is true.

4 0

3 years ago

Read 2 more answers

Given z1 and z2, what is the midpoint?<br><br> z1=5-7i and z2=-9+3i.

sveta [45]

Answer:

$7-2i$

Step-by-step explanation:

As you're used to do in the real plane, midpoint is the average of Real and Imaginary part. So $\frac{5+9}2 +i \frac{-7+3}2 = \frac{14}2+i\frac{-4}2 = 7-2i$

7 0

2 years ago

UPS charges $7 for the first pound and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

mixas84 [53]

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where is pounds and is total cost:

UPS:

FedEx:

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is . That would turn the equation into:

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

Now, you must divide both sides by .

That would give us:

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: .

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

5 0

3 years ago

250% of 9.4 mi is what distance

slava [35]

Answer: 23.5m

Step-by-step explanation:

3 0

3 years ago

John invests $200 at 4.5% compounded annually. About how long will it take for John’s investment to double in value?

Gekata [30.6K]

Answer:

The number of years needed is 15.75 years.

Step-by-step explanation:

The investment amount (present value) = $200

Interest rate =4.5%

Double of investment = $400

Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.

Future value = present value ×(1+interest rate)^n

400 = 200×(1+4.5%)^n

N = 15.75 years

The number of years required to double the amount is 15.75 years.

8 0

3 years ago

How many solutions does -1/2(4x-10)=5-2x