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Greeley [361]
2 years ago
14

Jamal will slice a right circular cylinder into two congruent pieces. Which two dimensional plane sections could result from the

slice Jamal makes?
Mathematics
1 answer:
GarryVolchara [31]2 years ago
5 0

Answer:

An ellipse and a rectangle.

Step-by-step explanation:

If Jamal cuts the right circular cylinder anywhere but its extremities, the resulting shapes on both pieces will be an ellipse.  

If he cuts precisely in a perpendicular way in relation to the ends, he will then form two new right circular cylinders, then the ellipses obtained would be circles.

If Jamal cuts the right circular cylinder lengthwise, going from one end to the other, even if it's not perpendicular to the base, he will obtain a rectangular shape.

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Calculate the equation of the line if two points are (1,6) and (5,0) Hint, you will have to find the slope of the line and then
motikmotik

Answer:

The equation is y=\frac{-3}{2} x-9

Step-by-step explanation:

First, you will have to find the slope of the two points.To do that, you will have to use the formula : m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

Our points are (1,6) and (5,0)

We will have to substitute the points into the formula.

m=\frac{0-6}{5-1}

Then, we will simplify

m= \frac{-6}{4}

We could simplify that fraction into \frac{-3}{2}

So, our slope is \frac{-3}{2}

We will have to pick a coordinate point, and choose. I chose (1,6)

We will substitute the x-value and the y-value of the coordinate point, including our slope, to calculate the y-intercept.

The formula we will be using is y=mx+b

We will substitute in our values which will make it look like:

6=\frac{-3}{2} (1)+b

We will then multiply \frac{-3}{2} by 1 which will stay the same.

Then, we will multiply \frac{-3}{2} by 6 which will equal -9

-9=b

Hence, the equation for our line is y=\frac{-3}{2} x-9

Hope it helped:D

<u><em>-Jazz</em></u>

5 0
2 years ago
The maximum recommended slope of wheelchair ramp is 1/12. A business installs a wheelchair ramp that rises 22inches over a horiz
Olin [163]

Given parameters:

Recommend wheelchari ramp slope  = \frac{1}{12}  

Rise of the new wheel chair ramp  = 22 inches

Horizontal length  = 24feet

Unknown:

Is the ramp steeper than the recommended  = ?

Slope is the ratio of rise to the horizontal distance covered

 Mathematically;

                 Slope = \frac{Rise}{horizontal distance}

Slope of the wheel chair ramp;

                covert 24 feet to inches;

        1 foot = 12 inches

        24 feet  = 24 x `12  = 288inches

Slope  = \frac{22}{288 }   = \frac{11}{144}

The two slopes being compared are;

               \frac{1}{12}  and \frac{11}{144}

The steeper of the first one 1/12. It has a higher slope compared to the second one.

4 0
2 years ago
Mr. Jones waffle recipe uses 3/4 cups of milk to make 8 waffles how many cups of milk should be used to make 24 waffles?
ella [17]

Answer:

9/4

Step-by-step explanation:

If you need 3/4 cups of milk to make 8 waffles, you would need 9/4 cups to make 24 waffles because you are making 3 times the amount of waffles, so you need 3 times the amount of milk.

5 0
2 years ago
The ratio of boys to girls in a certain classroom was 2 : 3. If boys represented five more than one third of the class, how many
Tju [1.3M]
Let the no. Of boys=x and that of girls=y.
The total no. Of students = x+y .
As given by statement the no. Of boys=x={(x+y)/3} + 5
This implies that
X=(x+y+15)/3
Also we know that x/y = 2/3 therefore
From this equation we get x=2y/3 and y=3x/2
By method of substitution we get
X=(x+3x/2+15)/3
•x=(15x+90)/2
•2x=15x+90
•-13x=90
X= -90/13
Now. Y= 3x/2=-270/26
Therefore total
no. Of students= -270/26+(-90/13)
•no. Of students= -450/26
According to me this is an imaginary question i mean how can their be a negative person
6 0
2 years ago
Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak
Ivenika [448]

Given:

Amount in the bank account = $1850

Monthly payment of can loan = $400.73

To find:

When would automatic payments make the value of the account zero?

Solution:

Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.

On dividing the amount by monthly payment, we get

\dfrac{1850}{400.73}=4.61657

It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.

Therefore, the 5th automatic payments make the value of the account zero.

6 0
2 years ago
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