The points (1,r) and (5, -3) lie on a line with slope 4 Find the missing coordinate r.

half of the students in max's class volunteer at a local community center. fifteen students do not volunteer. if there was twelv

slava [35]

Answer:

There will 18 Girls in the class.

7 0

3 years ago

A playground has the shape of a trapezoid.

Dmitrij [34]

Answer:

short base: 6 yards
long base: 8 yards

Step-by-step explanation:

Our understanding of your figure is shown below.

The question says the "shortest side" and the "width" have the same dimension. If the "width" is a reference to "height 6 yards", then it seems the "shortest side" is 6 yards. Since the slant sides are longer than the height, the "shortest side" is also the "short base."

The short base is 6 yards.

__

The long base overhangs the short base by 1 yard on either end, so it is a total of 2 yards longer than the short base. It it 6+2 = 8 yards long.

The long base is 8 yards.

6 0

3 years ago

Please hurry..! A storage tank holds 235,500 in^3 of a chemical. The chemical is dispensed to completely fill 25 identical cylin

Juli2301 [7.4K]

"The chemical is dispensed to completely fill 25 identical cylindrical containers"
So obviously the volume of each is 1/25 of the whole volume, right? So you know V for one of these cylinders.

"each with a radius of 5 in"
V = pi*r^2*h
You know V. You know r. Plug them in. Solve for h. Should take one line.

235,500 /25 = 9420 is the volume of 1 cylinder.

h =V/πr2

h ≈119.94

6 0

3 years ago

A student got 12 out of 15 questions correct on their quiz. What percent of the questions did the student get correct?

Nastasia [14]

Answer:

i think it would be 21 percent he got wrong so if he got 21 percent wrong it would be 79 percent right

Step-by-step explanation:

beacause if it was 10 question it would be 30 percent wrong since its 15 you divide it by 100 which would be 7 and 7 times 3 is 21

sorry if im wrong

7 0

3 years ago

Which of the following points below represents (- 2, - (5pi)/4) the polar grid?

Maru [420]

Answer:

Well, when we have a point in rectangular coordinates (x, y) and we want to write it in polar coordinates (r, θ) the rule we use is:

r = √(x^2 + y^2)

θ = Atg(Iy/xI) + 90°*(n - 1)

where n is number of the quadrant where our point is.

For example, if we are on the second quadrant, we use n = 2.

Now, if instead, we have the point (r, θ) and we want to rewrite it in rectangular coordinates, then the transformation is:

x = r*cos(θ)

y = r*sin(θ)

Now we have the point (- 2, -(5pi)/4) because the first part is negative, this number can not be in polar coordinates (r can not be negative) then we have:

x = -2

y = -(5*pi)/4

Using the first relation, we can find that:

r = √( (-2)^2 + (-5*3.14/4)^2) = 4.4

(rememer that the point (- 2, -(5pi)/4) is on the third quadrant, then we will use n = 3.)

θ = Atg(-(5*pi)/4/-2) + 90°*(3 - 1)= Atg((5*pi)/2) + 180° = 82.7° + 180° = 262.7°

Then the point that represents (- 2, - (5pi)/4) in polar coordinates is the point:

(4.4, 262.7°)

If instead of degrees, the angle part is written in radians, we have:

180° = 3.14 radians.

262.7° = x radians.

then:

x/3.14 = (262.7)/180

x = 3.14*(262.7)/180 = 4.58 radians.

then the point will be:

(4.4, 4.58 radians)

7 0

3 years ago