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Nady [450]
3 years ago
10

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=78°, and GE = 33 feet. Find the length of FG to the nearest tenth of a foot.

Mathematics
1 answer:
ANTONII [103]3 years ago
7 0

Answer:

I just did this on Delta Math lol:

Answer: 155.3 ft

Step-by-step explanation:

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The angle θ lies in Quadrant II. sinθ=3/4 What is cosθ ?
Elden [556K]

Hello from MrBillDoesMath

Answer:

[email protected] = - sqrt(7)/ 4    

which is choice B

Discussion:

This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:

([email protected])^2 + (sin2)^2 = 1

If [email protected] = 3/4 , the

([email protected])^2 + (3/4)^2 = 1 =>              (subtract (3/4)^2 from both sides)

([email protected])^2 = 1 - (3/4)^2  = 1 - 9/16   = 7/16

So...... taking the square root of both sides gives

[email protected] =  +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4

But is [email protected] positive or negative?  We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative

[email protected] = - sqrt(7)/ 4    

which is choice B


Thank you,

Mr. B


4 0
3 years ago
Jackson used the process of completing the square to solve the equation 2x2−12x=−6.
Nikolay [14]

Answer:

x=3-\sqrt{6},x=3+\sqrt{6}

Step-by-step explanation:

we are given equation as

2x^2-12x=-6

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

2(x^2-6x)=-3\times 2

step-2:

Simplify it

x^2-6x=-3

step-3:

Add both sides 3^2

x^2-6x+3^2=-3+3^2

now, we can complete square

(x-3)^2=6

step-4:

Take sqrt both sides

(x-3)=-\sqrt{6},(x-3)=\sqrt{6}

step-5:

Add both sides by 3

we get

x=3-\sqrt{6},x=3+\sqrt{6}


3 0
3 years ago
Rotation 180 about the origin E(2,-2), J(1,2), R(3,3), S(5,2)​
hammer [34]

E' (-2, 2) , J'(-1, -2) , R'(-3,-3) , S'(-5, -2)

6 0
3 years ago
Whats the answer plz?10 points!:)
jeyben [28]

Answer:


Step-by-step explanation:

f(x) = 3x + 1 and g(x) = x^2 - 6

(f + g) (x)

(3x + 1) + (x^2 - 6)

3x + 1 + x^2 - 6

3x - 5 - x^2

=> -x^2 + 3x - 5

I hope this helps!


7 0
3 years ago
Show your mastery of converting between decimals, fractions and percents by answer the following questions.
kobusy [5.1K]
Question 1. I am assuming you meant 9/16, and in that case, the answer would be 0.5625. 9-16 is -7.
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Question 3. Once again, this is relative as to what. Percentage of the weight of an elephant? It is important to specify in these types of equations.
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