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const2013 [10]
2 years ago
9

I need help 20 points!

Mathematics
1 answer:
inna [77]2 years ago
6 0

Answer:

192 cm3

Step-by-step explanation:

The volume of any pyramid is 1/3 × b × h, where b =  area of base of the pyramid and h = height of the pyramid.

  • In this case, the dimensions for the base are 6 and 8.
  • The height is 24

Area of Base:

  • \frac{6*8}{2}
  • 48/2
  • 24

Now, we multiply 24 by 24.

  • 24*24
  • 576

Lastly, we divide by 3.

  • 576/3
  • 192

Therefore, the answer is 192 cm^3.

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The area of the triangle formed by points of intersection of parabola y=a(x−3)(x+2) with the coordinate axes is 10. Find a if it
ICE Princess25 [194]

Answer: a = 4

Step-by-step explanation: Area of a triangle is calculated as: A_{t}=\frac{b.h}{2}.

The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.

The points on the x-axis are the roots of the quadratic equation:

a(x-3)(x+2)=0

(x-3)(x+2)=0

x - 3 = 0

x = 3

or

x + 2 = 0

x = -2

So, base is the distance between (-2,0) and (3,0).

Since they are in the same coordinate, distance will be:

b = 3 - (-2)

b = 5

Area of the triangle is 10. So constant a is

10=\frac{5.a}{2}

5a = 10.2

a = 4

The constant a of the function y = a(x-3)(x+2) is 4.

7 0
2 years ago
Please help w/ #18 (10 points)
patriot [66]
Answer: y=-(1/8)x+(21/2)


Explanation:

The new equation’s slope needs to be perpendicular to y=8x-1

To get the new slope, we take the negative reciprocal of the slope from above

8 —> -1/8

Now we have y=-(1/8)x+b but it needs to pass through (4,10), so we need to find the value of b that makes this possible.

Since (4,10) is in the form of (x,y) we can plug in these values into the new equation to solve for b:

y=-(1/8)x+b
10=-(1/8)4+b
10=(-1/2)+b
b=(21/2)

Now put b back into the new equation

y=-(1/8)x+b

y=-(1/8)x+(21/2)






6 0
2 years ago
The manager of a supermarket wants to obtain information about the proportion of customers who dislike a new policy on cashing c
alex41 [277]

Answer:

n = 61 costumers

Step-by-step explanation:

For calculating the number of costumers he should sample we use the next equation:

n = \frac{z_{1-\alpha/2}^{2}p(1-p)}{E^{2} }

                          Where E is the error that we are prepared to accept, in this  case E = 0.15

How we don't know the value of p, we can estimate it like p = 0.5

∝ = 1-0.98 = 0.02

1-∝/2 = 0.99

z_{0.99} = 2.33

n = \frac{(2.33^{2})(0.5)(1-0.5)}{0.15^{2} }

n = 60.32 costumers

n ≈ 61 costumers

4 0
3 years ago
Is -76.15 an interger
natulia [17]

An integer is a natural number (1, 2, 3 ...), zero, or the negative of a natural number.


-76.15 is none of those,


Answer: NO



5 0
3 years ago
Read 2 more answers
What fraction of an hour is 44 minutes? Give your answer in its simplest form.
Zanzabum

Answer:

11/15

Step-by-step explanation:

44/60 then simplify

6 0
3 years ago
Read 2 more answers
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