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Tcecarenko [31]
4 years ago
5

Which number is the best approximate of square root of 500 to the nearest tenth

Mathematics
1 answer:
denpristay [2]4 years ago
5 0
The square root of 500 is <span>22.360679775.

Rounding it up to the nearest tenth makes it 22.36
</span>
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PLEASE HELP!!!! I’m about to rip my hair out over this.
Nina [5.8K]

Step-by-step explanation:

1. The equation graph is a parabola, so the maximum height will be the vertex of the parabola. You can find the vertex coordinate t using the formula:

t = -b/2a

t = -18/2•(-4.9)

t = -18/-9.8

t = 1.84 seconds

2. The height of the ground is 0, so the balls hit the ground when the equation result is 0:

0 = -4.9t²+18t+10

Now you solve it using Bhaskara:

Δ = b² -4ac

Δ = 18² -4•(-4.9)•10

Δ = 520

t = (-b ±√Δ)/2a

t = (-18 ± √520)/2•(-4.9)

t1 = (-18 - 20.8)/-9.8

t1 = 3.96 seconds

t2 = (-18 +20.8)/-9.8

t2 = -0.28

Doesn't exist negative time, so we pick the first value found, t = 3.96 seconds

3. Now you just need to put 3 in place of t to find the result:

h = -4.9•3² +18•3 +10

h = -4.9•9 + 54 + 10

h = -44.1 + 64

h = 19.9 meters

4. You just need to put 1 in place of t to find the height:

h = -4.9•1²+12

h = -4.9+12

h = 7.1 meters

5 0
3 years ago
Translate the sentence into an inequality.
blagie [28]

Let the no be x

Inequality given by

\\ \sf\longmapsto 2(x-4)\leqslant -18

Let's solve

\\ \sf\longmapsto x-4\leqslant -9

\\ \sf\longmapsto x\leqslant -5

3 0
2 years ago
Read 2 more answers
A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye
Svetlanka [38]

Answer:  The total number of logs in the pile is 6.

Step-by-step explanation:  Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two​ logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32  and  common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

a_n=a+(n-10)d.

Since there are n logs in the pile, so we get

a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.

Thus, the total number of logs in the pile is 6.

6 0
3 years ago
A framed picture 24 inches wide and 28 inches high is shown in the diagram below
skelet666 [1.2K]
I got 5 inches b/c 8-5 1/4 equals to 2 3/4. 2 3/4 is equal to two feet and 9 inches. 28 inches is equal to two feet and four inches. Nine inches minus four inches equals five inches.
7 0
3 years ago
Plz help
riadik2000 [5.3K]
  1. 4(20+22)
  2. 4(40+2)

This expression are equivalent to 4(42)

4 0
3 years ago
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