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xeze [42]
3 years ago
12

A hockey puck has a height of -2.5 cm. What is the height of 7 hockey pucks?

Mathematics
1 answer:
svlad2 [7]3 years ago
3 0

Answer:

-17.5

Step-by-step explanation:

-2.5 times 7

-17.5

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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to
Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

x^2=8y\implies y=\dfrac{x^2}8

y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0

\implies x=0,x=8\implies y=0,y=8

The area of a semicircle with diameter d is \dfrac{\pi d^2}8. The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of x between 0 and 8. Over this interval, y^2=8x\implies y=\sqrt{8x} and \sqrt{8x}>\dfrac{x^2}8, so the volume of this solid is given by the integral

\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}

6 0
3 years ago
Which College entrance exam has the least amount of math problems to work? ​
taurus [48]

Answer:

SAT

Step-by-step explanation:

The two main college entrance exams are the SAT and ACT which are used for almost all colleges in the United States. Between these two the SAT has a lesser focus on math in general. Instead, the SAT tends to focus more on word problems and the process taken to solve them. This does not mean that it has no math at all, there is still a math section on the SAT's but it is not as extensive as in the ACT's.

7 0
3 years ago
GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:
Amanda [17]

Answer:

25π-24

Step-by-step explanation:

from the figure,

radius of the circle(r)=diameter of the circle(d)/2

=10/2

=5

Area of the circle(A)=πr^2

=π5^2

=25π

Again,

base of the right angle triangle(b)=6

perpendicular of right angle triangle(p)=8

we also know,

the area of right angle triangle = 1/2*base*height

=1/2*6*8

=1/2*48

=48/2

=24

Now, Area of the shaded region=Area of circle - Area of right angle triangle (given in the figure)

Area of shaded region= 25π -24

5 0
2 years ago
Write 81.42 as a mixed number
Effectus [21]
81.42
= 81+ 0.42
= 81+ 42/100
= 81+ (42/2) / (100/2)
= 81+ 21/50
= 81 21/50

The final answer is 81 21/50~
5 0
3 years ago
Read 2 more answers
Mark has a coupon for 10% off his entire purchase. If Mark buys $41.00 worth of merchandise, how much will Mark spend? *
kifflom [539]

Answer:

36.90

Step-by-step explanation:

41 X 0.10 = 4.10

41 - 4.10 = 36.90

H weill spend 36.90 dollars.

Please mark brainliest!

Have a great day!

4 0
2 years ago
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