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Sunny_sXe [5.5K]
3 years ago
11

What is the volume of a square pyramid with a base length of 4 cm and a height of 9 cm ​

Mathematics
1 answer:
galben [10]3 years ago
5 0
The volume is 48 cm
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April shoots an arrow upward at a speed of 80 feet per second from a platform 25 feet high. The pathway of the
zaharov [31]

Answer:

The maximum height of the arrow is 125 feet.

Step-by-step explanation:

The pathway of the arrow can be represented by the equation,

h = -16t^2 +80t + 25 .....(1)

Where h is height in in feet and t is time in seconds.

It is required to find the maximum height of the arrow. For maximum height, \dfrac{dh}{dt}=0.

So,

\dfrac{d(-16t^2 +80t + 25)}{dt}=0\\\\-32t+80=0\\\\t=\dfrac{80}{32}\\\\t=2.5\ s

Put t = 2.5 s in equation (1). So,

h = -16(2.5)^2 +80(2.5) + 25\\\\h=125\ \text{feet}

So, the maximum height of the arrow is 125 feet.

6 0
3 years ago
Which equation shows y=3/4x−52 in standard form? 4x−3y=10 4x−3y=−10 3x−4y=10 3x−4y=−10
snow_tiger [21]

Y = 3/4x - 5/2....subtract 3/4x from both sides
-3/4x + y = -5/2 ....multiply everything by common denominator of 4
-3x + 4y = -10
4 0
3 years ago
Standard form of a line passing through points (1, 3) and (-2, 5)
____ [38]

Answer:

<h2>2x + 3y = 33 </h2>

Step-by-step explanation:

As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.

Hence, the slope of this line is m = rise / run = -2/3.

Start with the slope-intercept form y = mx + b.

Substitute 3 for y and 1 for x and -2/3 for m:

3 = (-2/3)(1) + b.

Remove fractions by mult. all three terms by 3:

9 = -2 + b, so b = 11, and y = (-2/3)x + 11

Again, mult. all three terms by 3:

3y = -2x + 33, or, in standard form,

<h2>2x + 3y = 33 </h2>
6 0
3 years ago
The ans to 3/4+2/3 when using a common denominator to add unlike fractions
pychu [463]

Answer:

17/12 = 1 5/12

Step-by-step explanation:

The common denominator of 4 and 3 is 12.

The equivalent fraction of 3/4 is 9/12.

The equivalent fraction of 2/3 is 8/12.

Their total is 17/12 (or 1 5/12).

5 0
3 years ago
ATA movie theater the size of popcorn has decreased by 10%. If the old bag held 14 cups how much does the new bag hold
Burka [1]

I think

Step-by-step explanation:

12.5 since it decreases 10% and the old bag had 14 cups and 10% is 1.4

3 0
2 years ago
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