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nlexa [21]
3 years ago
10

A right rectangular prism has these dimensions: Length − Fraction 1 and 1 over 4 units Width − Fraction 5 over 8 unit Height − F

raction 3 over 4 unit How many unit cubes of side length Fraction 1 over 8 unit are required to pack the prism without any gap or overlap? 60 75 150 300
Mathematics
2 answers:
Sav [38]3 years ago
5 0
Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27

Volume of cube = 1/6 x 1/6 x 1/6 = 1/216

Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
vlada-n [284]3 years ago
3 0

Answer:

150

Step-by-step explanation:

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sertanlavr [38]
Answer:
21

Solution:
90 degrees + 15 degrees = 105 degrees. This angle is complementary to 5x. Therefore 105=5x. Solving for x we get 21

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3 years ago
Read 2 more answers
An object is launched with a velocity at 64 feet per second from a platform 30 feet high. the function H(t)= -16t2+64t+30 repres
PolarNik [594]
To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.

H'(t) = -32t + 64

Now find the critical numbers:

-32t + 64 = 0

-32t = -64

t = 2 seconds

Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):

H'(1) = 32

H'(3) = -32

As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.

To find the height, plug t=2 into H(t):

H(2) = -16(2)^2 +64(2) + 30 = 94

The answer is 94 ft at 2 sec.
4 0
3 years ago
PLEASE HELP...PLEASEEEEEEEEEEE
Nata [24]

Answer:

This is not a good model because the residual plot becomes thicker at the end

6 0
3 years ago
20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by
scoundrel [369]

Answer:

Part a) f(2)=1.57\ sec

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) 2,165.43\ sec

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

f(d)=1.11\sqrt{d}

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For d=2\ ft

substitute in the function above and solve for f(2)

f(2)=1.11\sqrt{2}

f(2)=1.57\ sec

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft  

so

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

so

d=3,805,774\ ft

substitute the value of d in the function f(d)

f(d)=1.11\sqrt{3,805,774}

f(d)=2,165.43\ sec

3 0
3 years ago
A pair of basketball shoes was originally priced at 80. It was marked up by 37.5% what was the retail price of the shoes
OlgaM077 [116]

Answer:

67

Step-by-step explanation:

4 0
4 years ago
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