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creativ13 [48]
3 years ago
11

A pyramid has a base off 100 m^2 and a height of 60 m. What is the volume of the pyramid?

Mathematics
1 answer:
scoray [572]3 years ago
7 0
V=2000m³it is b........

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a squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8 feet per second. the nuts heig
marin [14]

The nut lands first on gorund

<em><u>Solution:</u></em>

The squirrel climbs down the tree in 2 seconds

Given that,

A squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8 feet per second

<em><u>The nuts height, h, at time t seconds can be represented by the equation:</u></em>

h(t) = -16t^2 + 8t+24

-16t^2 + 8t+24 = 0\\\\-2t^2 + t + 3 = 0\\\\2t^2 - t-3=0\\\\Split\ the\ middle\ term\\\\2t^2 + 2t-3t -  3 = 0\\\\Break\ the\ expression\ into\ groups\\\\(2t^2 + 2t) -(3t+3) = 0\\\\2t(t+1) -3(t+1) = 0\\\\(t+1)(2t-3) = 0\\\\Therefore,\\\\t + 1 = 0\\\\t = -1\\\\2t-3=0\\\\2t = 3\\\\t = \frac{3}{2} = 1.5

time cannot be negative, so ignore t = -1

Thus the nut takes 1.5 seconds to reach ground

From given,

The squirrel climbs down the tree in 2 seconds

Therefore, the nut lands first on gorund

5 0
2 years ago
Can someone help me with question 1 and 2 please​
klasskru [66]
Question 1)
there’s 180 degrees in a triangle
70 + 70 = 140
180 - 140= 40
A= 40
question 2)
there’s only one line of symmetry, down the middle
5 0
3 years ago
Evaluating reports , help me please ...
dem82 [27]
Well I think it’s b
8 0
2 years ago
How do i calculate? All the way to s_75. It’s so long
mina [271]

Answer:

  -675

Step-by-step explanation:

The sum can be broken into parts that you know. Here, one of those parts is the sum of numbers 1 to n. That sum is given by n(n+1)/2.

\displaystyle S_{75}=\sum\limits_{n=1}^{75}{(67-2n)}=\sum\limits_{n=1}^{75}{67}-2\sum\limits_{n=1}^{75}{n}\\\\=75\cdot 67-2\dfrac{75(75+1)}{2}=75(67-76)\\\\=\bf{-675}

__

Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.

The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.

The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...

  75(-9) = -675

7 0
3 years ago
Chris is twice as old as Don, and next year the sum of their ages will be four times as much as Don’s age last year. Find their
RUDIKE [14]
Don's present age: 6
Chris's present age: 12
5 0
3 years ago
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