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yarga [219]
3 years ago
10

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics
1 answer:
klemol [59]3 years ago
5 0
<h3>Answer:   0.6</h3>

=================================================

Work Shown:

x = length of GH

Through the Pythagorean theorem, we can say

a^2 + b^2 = c^2

(FH)^2 + (GH)^2 = (FG)^2

4^2 + x^2 = 5^2

16 + x^2 = 25

x^2 = 25-16

x^2 = 9

x = sqrt(9)

x = 3

GH = 3

---------------

Now compute the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(G) = GH/FG

cos(G) = 3/5

cos(G) = 0.6

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15

Step-by-step explanation:

6 0
3 years ago
Which value is equivalent to sin20°?
AveGali [126]

Answer:

Option C. cos70°

Step-by-step explanation:

we know that

If two angles are complementary, then the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle

Remember that

Tow angles are complementary , if the sum of their angles is equal to 90 degrees

so

If A+B=90°

then

sin(A)=cos(B)

cos(A)=sin(B)

In this problem we have

A=20°

B=90°-20°=70°

therefore

sin(20°)=cos(70°)

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6 0
3 years ago
F(x)= 2x^3 + 6x^2 -5x - 3, g(x)= 3x-4 find (f-g)(x)
sergeinik [125]

The difference in the given functions is 2x^3 + 6x^2 -8x + 1

<h3>Difference of functions</h3>

Given the following function a shown

f(x)= 2x^3 + 6x^2 -5x - 3

g(x)= 3x-4

Take the difference

(f-g)(x) = f(x) - g(x)

Substitute

(f-g)(x)  = 2x^3 + 6x^2 -5x - 3 - (3x - 4)

Expand

(f-g)(x)  = 2x^3 + 6x^2 -5x - 3 - 3x + 4

(f-g)(x) = 2x^3 + 6x^2 -8x + 1

Hence the difference in the given functions is 2x^3 + 6x^2 -8x + 1

Learn more on polynomials here: brainly.com/question/2833285

#SPJ1

8 0
2 years ago
Dave has 10 poker chips, 6 of which are red and the other 4 of which are white. Dave likes to stack his chips and flip them over
Marina86 [1]

The number of 10 chips stacks that Dave can make if two stacks are not considered distinct is 110.

The solution

To get the symmetric stacks, one has to subtract the symmetric stacks to know the ones that are asymmetric.

The symmetric are flipped. Given that they are double counted what we have to do is to divide through by 2.

6/2 = 3

10/2 = 5

4/2 = 2

1/2(10C6) - (5C3) + (5C3)

0.5(210-10+10)

= 110

8 0
2 years ago
What is the discrimination of the quadratic equation 8x^2-2x-1=0
ELEN [110]

D=b^2-4ac\\D=(-2)^2-4(8)(-1)\\D=4+32\\D=36

<em>For another information, when D > 0, there are 2 real roots.</em>

<em>When D = 0, there is only one real root.</em>

<em>And when D < 0, there are no real roots (also known as imaginary.)</em>

8 0
3 years ago
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