A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches

In Jefferson Middle School, 5% of the sixth graders have red hair. If there are 100 sixth graders, how many have red hair?

k0ka [10]

Answer:

5

Step-by-step explanation:

Take the number of 6th graders and multiply by the percent that have red hair

100 * 5%

100 * .05

5

3 0

3 years ago

Read 2 more answers

Help me, its trigonometry college

prohojiy [21]

4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle. $\frac{\sqrt{3}} {3}$ does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3. So our numerator is 1/2 and our denominator is sqrt(3)/2.

And remember tangent is just sin/cos. So what degree has sinx as 1/2 and and cosx as sqrt(3)/2? Well, 30 degrees does, but 30 degrees is not within the range we are given. That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.

And 210 degrees in radians is 7pi/6.

I hoped that made sense.

(b) This is a lot easier. What angle gives us a cos x of -sqrt(3)/2? According to the unit circle, 150 degrees and 210 degrees does. They usually want these in radians, so the answer is 5pi/6 and 7pi/6, respectively.

5) What quadrant is radian measure 5 in?

Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.

But to be sure let's change 5 radian to degrees:

5 * 180/pi = 900/pi = 286.48 degrees

286.48 degrees is definitely in Q4, so we are correct.

7 0

4 years ago

Question 1 of 25 What is the median of this set of data values? 10.14, 15, 17, 20, 21, 22.25 O A. 17 B. 20 C. 18 D. 185

Reil [10]

Answer:

18

Step-by-step explanation:

3 0

3 years ago

I ALSO NEED HELP ON THIS

Inessa05 [86]

Answer:

Step-by-step explanation:

You need to know three things for this. First, the equation of a line inslope intercept form y=mx+b. m is the slope (rise over run) and b is the y intercept, or what happens when x equals 0. If either of these concepts are confsing let me know.

y=mx+b is going to be how we write the final answer, so we want to know how to fund m and b. b actually is found in the final step automatically, but m we have to use the points.

m is found with the equation (y2-y1)/(x2-x1). If this looks confusing it really isn't. (x1,y1) refer to one of the points you are givenand (x2,y2) refer to another. You are given points, but let's just try two of them and see if the third also fits. If it DOESN'T then we have to redo this or find another way, so keep that in mind. so, lets say (x1,y1) is (0,0) and (x2,y2) is (3,5). Remember, we could have made either one (-5,-25) or switched which we assigned. Also, it's worth noting if you ever have a point with one zero or especially two, that makes other parts easier.

Now the actual calculation.

(y2-y1)/(x2-x1)

(15-0)/(3-0)

I will leave simplifying for you. Remember, this is the slope, or m. Now, the third piece of the puzzle is what is called point slope form. This is what automatically gets you that y intercept. It's another case of plugging in numbers. y - y1 = m(x - x1). You are going to plug in m (the slope) and any of the three point's coordinates. You just have to make sure you plug inthe same y that goes with x. so if you plug -5 in for x1 you need to plug in -25 in for y1. Here's where (0,0) is super helpful. But I want you to try each of the points and see what happens.

After you plug it in you are going to want to solve for just plain old y. i will show you the calculation.

y - y1 = m(x - x1) First distribute the m

y - y1 = m*x - mx1 Then add y1 to both sides

y = mx - mx1 + y1

Now, we want y = mx + b. Well, if we have -mx1 + y1 equal to be then we have it, so we're done!

Again, you should try all three points in the last step just to see they make the same equation, and then use the final equation and plug in each x value to see if you get the same y value. It's all super valuable practice. And of course let me know if there's something you don't understand.

4 0

4 years ago

sarah is putting her sweaters in boxes to organize her closet.seven sweaters can fit in each box. sarah will fill as many boxes

Morgarella [4.7K]

Given: Sarah can fit 7 sweaters in a box

She has 38 sweaters

the remaining sweaters will stack on the shelf in the closet.

By dividing 38 by 7 we will get:

$\frac{38}{7}=\frac{35+3}{7}=\frac{5\cdot7+3}{7}=5\frac{3}{7}$

So, she will need 5 boxes, she will put 35 sweaters in 5 boxes

The remaining sweaters = 38 - 35 = 3 sweaters

So, the answer is: 3 sweaters will go in her closet

6 0

1 year ago