Determine the domain of each piece. Domain of piece 1:[ ) Domain of piece 2: [ ) Domain of piece 3

Red Riding Hood is making a food basket out of 8 different fruits and 9 different vegetables. If there is only room for 6 items,

nevsk [136]

Pancake how are you sorry I’m just using this so I can ask a question again lol sorry about that...

7 0

4 years ago

Please help asap 100 points

vesna_86 [32]

Answers:

Problem #1: Option C, 166 yards cubed

Problem #2: Option A, 10

Step-by-step solution:

The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it. Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.

Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder. However, before doing that we need to determine the radius of the circle from the diameter that was given.

Divide the diameter by two to get the radius

$Radius = \frac{Diameter}{2}$

$Radius = \frac{5.2\ yd}{2}$

$Radius = 2.6\ yd$

Plug in the values

$V_{cylinder} = (\pi * radius^2)*height$

$V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd$

Simplify the exponent

$V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd$

$V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd$

Simplify the expression

$V_{cylinder} = (21.237\ yd^2)*7.8\ yd$

$V_{cylinder} = 165.65\ yd^3$

Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.

Now that we completed the first question, we can move onto the second question. In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of. We need to use the Secant-Secant Power Theorem to help determine our solution.

Make an expression to represent the scenario

$32(x + 32) = 28(20 + 28)$

We know have an expression which we can now simplify and get the value of the unknown easily. The first step would be to distribute the 32 and 28.

Distribute both sides

$32(x + 32) = 28(20 + 28)$

$(32 * x) + (32 * 32) = (28 * 20) + (28 * 28)$

$32x + 1024 = 560 + 784$

Simplify the expression

$32x + 1024 = 1344$

We now have a simple expression where we can now subtract both sides by 1024 to help isolate x with its coefficient.

Subtract 1024 from both sides

$32x + 1024 - 1024 = 1344 - 1024$

$32x = 1344 - 1024$

$32x = 320$

The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.

Divide both sides by 32

$\frac{32x}{32} = \frac{320}{32}$

$x = \frac{320}{32}$

$x = 10$

After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.

8 0

2 years ago

Manuel needs to make a total of 60 deliveries this week. So far he has completed 36 of them. What percentage of his total delive

Alenkasestr [34]

Answer:

60%

Step-by-step explanation:

It’s simple

He needs to do 60, he has done 36

Percentage = (36/60) * 100

= 60%

5 0

4 years ago

solve the equation 5 over 4 minus 1 over x minus 2 equals -4 over 4x minus. use complete sentences to explain how you solved the

ehidna [41]

Let's translate your words into numbers and fractions. So it's
5/4 - 1/x - 2 = -4/-4.
Let's Simplify it first by eliminating -4/-4, the answer will be 1 since negative divided by negative is positive and 4 divided by 4 is 1.

5/4 - 1/x - 2 = 1

Then Get the GCF of the equation which is 4x.
Then divide the whole equation by 4x and it would be,

5/4 - 1/x - 2 = 1
 4x

Then it will look like this, 5x-8x-4 = 4x
Then transpose, 5x - 8x - 4x = 4
Simplify by deducting the left side. -7x = 4
Then divide both sides by -7.
Then the final answer would be x = -4/7

4 0

4 years ago

What is the common ratio?

Serjik [45]

Knowing its a geometric sequence, you can divide any number by the one in front of it, the answer is 4.3

5 0

3 years ago

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