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KengaRu [80]
3 years ago
7

How far is the little guy from the flagpole (assuming a right angle between the flagpole and the ground)? Explain how you got yo

ur answer.

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0

Answer:

9

Step-by-step explanation:

a^2 + b^2 = h^2

15^2= 12^2 + b^2

225=144+b^2

81=b^2

9

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The minimum for g(x)=x2-10
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4 0
3 years ago
Read 2 more answers
to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac
CaHeK987 [17]

Answer:

<u>800 liters</u> of 90% saline solution and <u>1200 liters</u> of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

<u><em>Let the liters of 90% saline solution mix be </em></u>x.<u><em /></u>

<u><em>And let the liters of 40% saline solution mix be</em></u> y.

So, the total number of liters:

x+y=2000.

y=2000-x\ \ \ ....(1)

Now, the total percentage of saline solution:

90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000

\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000

0.9x+0.4y=1200

Substituting the value of y from equation (1) we get:

0.9x+0.4(2000-x)=1200

0.9x+800-0.4x=1200

0.5x+800=1200

Subtracting both sides by 800 we get:

0.5x=400

Dividing both sides by 0.5 we get:

x=800.

<u>The liters of 90% saline solution mix = 800.</u>

Now, substituting the value of x in equation (1) to get the liters of 40% saline solution:

y=2000-x

y=2000-800

y=1200.

<u>Thus, the liters of 40% saline solution = 1200.</u>

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0
3 years ago
3x-8&lt;23 and -4x+26&gt;6
Papessa [141]

Answer:

3x-8<23 and -4x+26>6

x<31/3            x<5

Step-by-step explanation:

3x-8<23

Add 8 to both sides

3x<31

Then divide 3 to both sides

x<31/3


and -4x+26>6

Minus 26 to both sides

-4x>-20

You divide -4 to both sides

Keep in mind that everytime you divide a negative the inequality will change so > will be <

x<5

3 0
3 years ago
I would apreciate an answer &lt;3.
zheka24 [161]
Djiejdnfjeodkcjsjsidjdnbd!;!;73!;!
3 0
2 years ago
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(Pls help) I need help finding x!
Ray Of Light [21]

Answer:

x ≈ 46°

Step-by-step explanation:

Since the triangle is right use the sine ratio to solve for x

sinx = \frac{opposite}{hypotenuse} = \frac{10}{14}, hence

x = sin^{-1} ( \frac{10}{14} ) ≈ 46°

8 0
2 years ago
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