The bull's-eye on a target has a diameter of 3 inches. The whole target has a diameter of 15 inches. What part of the whole target is the bull's-eye? Explain

Answers

Answer 1

Answer: Hi Trillstone!

Hoping I'm looking at this correctly, but I'll do my best!

So we have a target with a diameter of 15 in., and a bull's-eye with a diameter of 3 in. We're basically looking for what 3 in. is to 15 in. in terms of size. So here we go:

First we're going to need to know the area of a circle, which is: Area = πr².
We're going to take the area of both the whole target, and then just the bullseye.

Area of Whole Target: π(15/2)² ⇒ π(7.5)² = 176.71 in³.
Area of Bullseye: π(3/2)² ⇒ π(1.5)² = 7.07 in³.

So far so good? (It's late around here so I'm sorry if I'm missing steps!)

Now from here, all we have to do is divide the area of the bullseye by the area of the target to find our answer.

⇒ 7.07 / 176.71 = .04

In other terms, the bullseye takes up around 4% of the target.

-Hope this helps and please correct me if this turns out to be incorrect!

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On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above and to the left of the line is shaded.Which linear inequality is represented by the graph?

y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y < 3x − 1
y > 3x − 1

Answers

Answer:

Option B.

Step-by-step explanation:

A solid straight line passes through (0, -1) and (3, 0)

Slope of the line = $(y-y')/(x-x')$

= $(0+1)/(3-0)$

= $(1)/(3)$

Equation of the line passing through (0, -1) will be

y - y' = m(x - x')

$y+1=(1)/(3)(x-0)$

$y=(1)/(3)x-1$

Since this line is solid then there will the sign of (≥ or ≤)

If everything above and to the left of the line is shaded then the inequality will be

$y\geq (1)/(3)x-1$

Therefore, the answer will be option B. $y\geq (1)/(3)x-1$

Answer: C

Step-by-step explanation:

Just took the test and made a 100%

A perfume manufacturer uses 0.875 pounds of rose petals to make each bottle of perfume. How many pounds of rose petals would be needed to make 86 bottles of perume???

Answers

To solve this problem
Let X be pounds of rose petals needed.
ATQ
0.875 pounds of rose petals are in 1 bottle.
So, 0.875 / 1 = X / 86
( because we have to find how many petals {in pounds}are there in 86 perfume bottles )
cross muliplying both side.
0.875 * 86 = X
75.25 = X
So, there are 75.25 pounds of petals in 86 perfume bottles.

86 bottles of perfume* (0.875 pounds of rose petals/ 1 bottle of perfume)= 75.25 pounds of rose petals.

The correct answer is 75.25 pounds of rose petals~

Halfway through a bus route, 23 students have been dropped off and 48 students remain on the bus. Write an equation to determine whether there are 61 or 71 students on the bus at the begginning of the route.

Answers

Answer: The required equation is

$x=23+48\n\Rightarrow\ x=71$

Thus, there are 71 students on the bus at the beginning of the route.

Step-by-step explanation:

Given: The number of students dropped off = $23$

The number of students remain on the bus = $48$

Let 'x' be the total number of students in the bus then we get the equation as

$x=23+48$

On adding 23 to 48, we get 71

Hence, $x=71$

Therefore, There are 71 students on the bus at the beginning of the route.

48+23=71. So seventy one students were on the bus then 23 were dropped off leaving 48 remaining

Sal wants to build a robot. He puts a sphere on top of a cylinder. What will probably happen?

Answers

It depends on which side of the cylinder. If she puts it on the curved side, it will roll off. If she puts it on the flat side and stabalizes it, it will stay in place if no further force is acted on it.

What is the surface area of 10cm 15cm and 10

Answers

The surface area of 10cm, 15cm, and 10cm is found by splitting the dimensions to many different equations.
1st equation: 10 times 15
2nd equation: 10 times 10
3rd equation: 10 times 10
4th equation: 10 times 15
5th equations: 10 times 15
6th equation: 10 times 15
You would then add all the solutions up to get the final solution.
The answer is...
800

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Answers

3:5 because if you add the fractions together it is what you get so the 5 would be raisins and the 3 would be peanuts

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