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Roman55 [17]
3 years ago
15

Help please. 20 points.

Mathematics
1 answer:
Verizon [17]3 years ago
5 0

Answer:

(5, 10) 1st quadrant

Step-by-step explanation:

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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
1 year ago
Find the surface area.
Triss [41]

Answer:

196 ft^{2}

Step-by-step explanation:

Surface are of 2 rectangles = 2(2*4) = 16 ft^{2}

surface are of the base rectangle = 4*3 = 12 ft^{2}

Area of tow triangles =2( \frac{1}{2} * 2* 2)= 4ft^{2}

total = 16+12+4

= 196 ft^{2}

3 0
3 years ago
Slove the following equation for number x. verify tht your solution is correct 3/4(x+8) =9
Tanya [424]
3/4 (x+8)=9
3/4x+6=9
-6
3/4x=3
X=4
Check
3/4(4+8)=9
3/4 (12)=9
9=9
3 0
2 years ago
Need Help with some Math
tatyana61 [14]

Answer:

8

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial f(x) being divided by a factor in the form of (x-a), then the remainder of the polynomial is given by f(a).

We have the polynomial:

f(x)=3x^{15}-5x^{12}+7x^6-3x^2+12

And it is being divided by:

(x+1)

We can rewrite our factor as:

(x-(-1))

Therefore:

a=-1

Then our remainder will be:

f(-1)

Evaluate:

\begin{aligned} f(-1)&=3(-1)^{15}-5(-1)^{12}+7(-1)^6-3(-1)^2+12\\&=-3-5+7-3+12\\&=8 \end{aligned}

So, our remainder will be 8.  

4 0
2 years ago
Can somebody help me
pantera1 [17]

The answer is B. The angle next to 100 degrees would be 80 as the angles are supplementary. Then you would add 80 + 70 = 150. All the angles in a triangle add to 180, thus making the "x" angle 30 due to 180 - 150.

Hope this helped :))

7 0
3 years ago
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