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larisa [96]
3 years ago
8

Find Tan A and Tan B. write each answer as a fraction and as a decimal rounded into four places.

Mathematics
1 answer:
Artist 52 [7]3 years ago
4 0
Tan A = 18/27
Tan A = 2/3
Tan A = 0.6667

Tan B = 27/18
Tan B = 3/2
Tan B = 1.5000
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Which of the following is the sum of the polynomials 5x^2-4x+1 and -3x^2+x-3??
Katyanochek1 [597]

5x^2-4x+1 + -3x^2+x-3= 2x^2-3x-2

6 0
2 years ago
Raj polled 100 students in his class to compare the number of hours that teen boys and girls played video games each week. The r
netineya [11]
I think the answer would be C
8 0
3 years ago
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Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find
densk [106]

Answer:

x=4

Step-by-step explanation:

<u>Step 1</u>:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

AC^2 = AB^2 + BC^2

<u>step 2:-</u>

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

(a + b)^2 = a^2 +2ab+b^2

289 = 4x^2 +9(x^2+2x+1)

13x^2 +18x-280 = 0

finding factors  70 X 52 = 3640

13x^2 +70x-52x-280 = 0

13x^2 -52x+ 70x-280 = 0

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and 13x =-70

x=4 and x=\frac{-70}{13}

we can not choose negative value so x value is 4

Final answer:- x = 4

<u>verification:-</u>

<u></u>AC^2 = AB^2 + BC^2<u></u>

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0
3 years ago
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Factor the perfect square trinomial 25n² + 40np<br> + 16p^2
Nat2105 [25]

Answer:

(5n+4p)(5n+4p) or (5n+4p)^2

Step-by-step explanation:

i took the test :p

4 0
2 years ago
What is AE? Please help me
shepuryov [24]
The two triangles are similar, so will have a direct scale factor. We can find this by using the given measurements, 10÷8=1.25. So the scale factor from the smaller to the bigger triangle is 1.25. This means that 1.25×(x+6)=AE. We can solve this as we would with a regular linear equation:
1.25(x+6)=2x+6
1.25x+7.5=2x+6
1.5=0.75x
2=x
∴ AE is 2x+6=10
4 0
3 years ago
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