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zmey [24]
3 years ago
12

Ben is standing 8 feet from

Mathematics
1 answer:
never [62]3 years ago
5 0

Answer:

Approximately 15.05 ft

Step-by-step explanation:

You need to use tangent for this question.

Since tan θ = \frac{Opposite}{Adjacent}

to find the Opposite, we need to rearrange the equation to:

Adjacent × tan θ = Opposite.

So if you insert 62 for θ and 8 feet for Adjacent, you will get:

8 × tan(62) = Opposite.

and you will get approximately 15.05 feet for your Opposite side

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What are the possible rational zeros of f(x) = x4 − 4x3 + 9x2 + 5x + 14?
Dovator [93]

Answer:

±1, ±2, ±7, ±14

Step-by-step explanation:

6 0
3 years ago
Triangle J K L is shown. Angle J L K is 105 degrees. The length of J K is 4.7 and the length of J L is 2.7.
cluponka [151]

Answer:

The approximate measure of angle K is 34°

Step-by-step explanation:

In ΔJKL

∠L = 105°

JK = 4.7

JL = 2.7

Sine Rule:

\frac{SinA}{a} = \frac{SinB}{b}= \frac{SinC}{c}

So,\frac{SinL}{JK} = \frac{SinK}{JL}\\\frac{SinL}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105 \times 2.7}{4.7} = SinK\\\frac{(0.9659 \times 2.7)}{4.7} = Sin K\\\frac{2.60793}{4.7} = Sin K\\0.5549 = Sin K\\Sin^{-1}(0.5549)= K\\K = 33.70

K ≈ 34°

So, Option B is true

Hence The approximate measure of angle K is 34°

5 0
3 years ago
The product of the roots of the equation x2 + x=2 is:<br> 0-2<br> 01
gregori [183]

Answer:

-2

Step-by-step explanation:

x^2 + x=2

Subtract 2 from each side

x^2 + x-2=2-2

x^2 + x-2=0

Factor

What 2 numbers multiply to -2 and add to 1

2*-1 = -2

2+-1 =1

(x-1)(x+2)=0

Using the zero product property

x-1 = 0  x+2 = 0

x=1        x = -2

Product of the roots

1*-2 = -2

5 0
3 years ago
How do I find the factor of the trinomial of y^2+7y-30
wel
Find two numbers that multiply to -30 (last term) and add to 7 (middle coefficient)

The two numbers are 10 and -3
10 times -3 = -30
10 plus -3 = 7

Using those two values gets us the two factors (y+10) and (y-3)

Therefore, y^2+7y-30 factors to (y+10)(y-3)

The equation y^2+7y-30 = (y+10)(y-3) is true for all values of y.
7 0
3 years ago
What is the equation x=y+z solved for z
sertanlavr [38]
X=y+z
subtract y from both sides
-y+x=z that is your answer
6 0
3 years ago
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