The base of a parallelogram is 12 cm . it's height is 18cm. find its area

Can someone please answer the question on the image provided? Please, and thank you.

Slav-nsk [51]

Answer:

50. 8 cm

51. 12π = 37.7 cm³

52. 113 cubic inches.

53. negative

54. non-linear

Step-by-step explanation:

50. Determine the height of a cylinder given radius = 3 cm and volume = 72 π cm³.

First we need to remember that the formula to calculate the volume of a cylinder is:

V = π * r² * h

Since know everything in this equation (we know V - 72π - and we know r - 3 -, we obviously know π ), we just need to isolate h and input the data we know.

$h = \frac{V}{\pi * r^{2} } = \frac{72 \pi}{\pi * 3^{2} } = \frac{72}{9} = 8$

The height is then 8 cm.

51. Determine the volume of a cone, given radius = 2 cm, height = 9 cm.

First we need to remember that the formula to calculate the volume of a cone is:

V = (π * r² * h) / 3

Then we just have to enter our numbers in it and do the math:

$V= \frac{\pi * r^{2} * h}{3} = \frac{\pi * 2^{2} * 9}{3} = 12 \pi = 37.7$

The volume of that cone is equivalent to 12 times π or about 37.7 cm³

52. Determine the volume of a grapefruit with a radius of 3 inches, round to the whole number.

A grapefruit is a sphere, we'll assume it's regular. First we need to remember that the formula to calculate the volume of a sphere is:

V = 4(π * r³) / 3

Then we enter our numbers in it:

$V = \frac{4 * \pi * r^{3}}{3} = \frac{4 * \pi * 3^{3}}{3} = 4 * \pi * 9 = 36 * \pi = 113.097$

The volume of that sphere is 113.09, which we round down to the closest whole number: 113 cubic inches.

53. Determine whether there is a positive, negative or no correlation.

By looking at the graphic, you can see a series of dots downwards. If you were to trace a line following those points, a close approximation, you would have a rather straight line going down the Y axis while going further along the X axis.

If you were to calculate the slope of that imaginary line, you'll has a negative value, because the line is going down.

So, there's a negative correlation: the higher the X value, the lower the Y value.

54. Determine whether there is a linear or non-linear correlation.

By looking at the provided graphic, we can see it shows a curve, with a positive correlation, meaning the greater the X value, the greater the Y value.

However, you can see that it's not a straight line as it was in the previous question, it's a curve.

Since it's a curve, it's not a linear correlation.

6 0

4 years ago

Let P = (3, 2, −2) and Q = (7, 9, 9). Find the coordinates of the following. The point on the line through PQ whose distance fro

egoroff_w [7]

Answer:

point A ON THE LINE PQ is ( 11,16,20)

Step-by-step explanation:

GIVEN DATA:

P (3,2, -2)

Q(7,9,9)

SUPPOSE point A has a cordintates (x,y,z)

given that AP = 2AQ

Q is midpoint of AP

So we have $\frac{(x,y,z)+(3,2,-2)}{2} = (7,9,9)$

x+3 = 14.........1

y+2= 18..........2

z-2 =18...........3

x = 11 from equation 1

y = 16 from equation 2

z = 20 from equation 3

Therefore point A ON THE LINE PQ is ( 11,16,20)

6 0

3 years ago

What is the probability of P(AUB), if P(A) = 0.23, P(B) = 0.41, and P(<br> AB) = 0.12?

alekssr [168]

Answer:

P(B)=0.41, and P( that is the answer

8 0

3 years ago

Read 2 more answers

Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50

Vladimir79 [104]

Answer:

a) Var[z] = 1600

D[z] = 40

b) Var[z] = 2304

D[z] = 48

c) Var[z] = 80

D[z] = 8.94

d) Var[z] = 80

D[z] = 8.94

e) Var[z] = 320

D[z] = 17.88

Step-by-step explanation:

In general

V([x+y] = V[x] + V[y] +2Cov[xy]

how in this problem Cov[XY] = 0, then

V[x+y] = V[x] + V[y]

Also we must use this properti of the variance

V[ax+b] = $a^{2}$ V[x]

and remember that

standard desviation = $\sqrt{Var[x]}$

a) z = 35-10x

Var[z] = $10^{2}$ Var[x] = 100*16 = 1600

D[z] = $\sqrt{1600}$ = 40

b) z = 12x -5

Var[z] = $12^{2}$ Var[x] = 144*16 = 2304

D[z] = $\sqrt{2304}$ = 48

c) z = x + y

Var[z] = Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80

D[z] = $\sqrt{80}$ = 8.94

d) z = x - y

Var[z] = Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80

D[z] = $\sqrt{80}$ = 8.94

e) z = -2x + 2y

Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320

D[z] = $\sqrt{320}$ = 17.88

7 0

3 years ago

Mrs. Huang operates a soybean farm. She buys many supplies in bulk. Often the bulk products need to be custom mixed before Mrs.

Evgen [1.6K]

To solve this problem, let us first assign variables. Let us say that:

x = volume of 67% herbicide solution

y = volume of 46% herbicide solution

The total volume should be 42 liters therefore:

x + y = 42

x = 42 – y --> 1

The component mass balance on the pure herbicide would be:

0.67 x + 0.46 y = 0.55 (42) --> 2

Substituting equation 1 to 2:

0.67 (42 – y) + 0.46 y = 23.1

28.14 – 0.67 y + 0.46 y = 23.1

- 0.21 y = - 5.04

y = 24 L

Calculating for x using equation 1:

x = 42 – 24

x = 18 L

Therefore we only need 18 L of the 67% herbicide solution.

Answer:

A. 18 L

6 0

4 years ago

Read 2 more answers

The base of a parallelogram is 12 cm . it's height is 18cm. find its area​

The base of a parallelogram is 12 cm . it's height is 18cm. find its area