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erastovalidia [21]
3 years ago
15

Solve for t.

Mathematics
1 answer:
Drupady [299]3 years ago
7 0
C .............................
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In ΔNOP, n = 910 inches, o = 110 inches and p=820 inches. Find the measure of ∠P to the nearest degree.
Sophie [7]

Given:

In ΔNOP, n = 910 inches, o = 110 inches and p=820 inches.

To find:

The measure of ∠P to the nearest degree.

Solution:

According to the law of cosine:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Using law of cosine in triangle NOP, we get

\cos P=\dfrac{n^2+o^2-p^2}{2no}

Putting the given values, we get

\cos P=\dfrac{(910)^2+(110)^2-(820)^2}{2(910)(110)}

\cos P=\dfrac{828100+12100-672400}{200200}

\cos P=\dfrac{167800}{200200}

\cos P=0.83816

Taking cos inverse on both sides, we get

P=\cos^{-1}(0.83816)

P=(33.05367)^\circ

P\approx 33^\circ

Therefore, the measure of ∠P is 33°.

8 0
2 years ago
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A random sample of 40 business days from the past year was taken from the store
guapka [62]

Answer:

20,00,00

Step-by-step explanation:

5 0
3 years ago
Can somebody please help me?
ahrayia [7]
In order to be a triangle, the sum of two sides must be greater than the third side.  (Just think about it for a bit and you will see why this has to be true).  For example, could you have a triangle with side 3 inches, 4inches, and then a whopping 100 inches?  No, because the other two sides are too short to fully connect a triangle!

So once you understand this, we can find the possible length <span>of </span>the missing side.

Let x be the length of the missing side in centimeters.  The other two sides are 18cm and 40cm.

So one possible combination:

The sum of our two known lengths must be larger than the unknown length:

18 + 40 > x
58 > x

Therefore one constraint is that our third side has to be less than 58 centimeters.

Another combination:

18 + x > 40
x > 22

So another constraint is that our third side must be larger than 22 cm.

The last combination is pointless:

40 + x > 18

Since 40 is already larger than 18, then "40 + x" is obviously larger than 18.

So therefore our x has to be in this range:

22 < x < 58

In other words, our third side has to be larger than 22 cm, but less than 58 cm.  


7 0
3 years ago
What is 2 5/12 in decimal form?​
Neko [114]
2.416 bar over the 6
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3 years ago
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You borrow $15,000 from your credit union. You must pay $250 per month to pay back the loan. Write the equation
vlabodo [156]
(250 x 12) divided by 15,000

Hope this helps!
8 0
2 years ago
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