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Leokris [45]
2 years ago
9

NO LINKS!! Please help me​

Mathematics
2 answers:
Wewaii [24]2 years ago
8 0

Answer:

A

Step-by-step explanation:

\cos(\theta)=\dfrac{\textsf{adjacent side}}{\textsf{hypotenuse}}=\dfrac{5}{13}

\textsf{As }\cos(\theta) > 0 \textsf{ the angle is in quadrant I or IV}

Using Pythagoras' Theorem a² + b² = c² to find the side opposite the angle:

⇒ 5² + b² = 13²

⇒ b² = 144

⇒ b = 12

⇒ opposite side = 12

\implies \sin(\theta)=\dfrac{\textsf{opposite side}}{\textsf{hypotenuse}}=\dfrac{12}{13}

\textsf{As }\sin(\theta) < 0 \textsf{ then }\sin(\theta)=-\dfrac{12}{13} \textsf{ and the angle is in either quadrant III or quadrant IV}

Therefore, the common quadrant is quadrant IV and

\sin(\theta)=-\dfrac{12}{13}

Tatiana [17]2 years ago
6 0

Answer:

A

Step-by-step explanation:

Since cosine is positive and sine is negative that puts θ in Quad IV.

From right triangles we know:

Cos θ = adjacent/hypotenuse = 5/13

sin θ = opposite/hypotenuse = ?/13

To find the opposite side across from θ use the pythagorean theorem.

5² + y² = 13²

25 + y² = 169

y² = 144

y = 12

we are given  that sin is < 0 so sinθ = -12/13

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write the standard form of the line that passes through the given points include your work in your final answer type your answer
Gemiola [76]
The slope is change in "Y" divided by the change in "x"
1-(-3)/2-(-1)
 = 4/3

Standard Form
y-y1=m(x-x1)
y-(-3)=4/3(x-(-1)
y+3=4/3x+4/3
y=4/3x-5/3

Rewrite in standard form
-4/3x+y=-5/3
Can't have fractions so multiply by 3 to get rid of the denominator
-4x+3y=5
Divide by -1 to get rid of the negative sign

4x-3y=-5


4 0
3 years ago
3/5 is 30% of what number?
Daniel [21]
3/5 of what number =15
5 0
3 years ago
Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals startfraction one-half endf
Marina CMI [18]

The linear function which represents the line given by the point-slope equation is (B) f(x)=\frac{1}{2} x+6.

<h3>What is a linear function?</h3>
  • The word linear function in mathematics refers to two distinct but related concepts.
  • A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

To find the linear function which represents the line given by the point-slope equation:

Given: y-8=\frac{1}{2} (x-4)

Distribute the right side:

y-8=\frac{1}{2} (x)-\frac{1}{2} 4\\y-8=\frac{1}{2} x-2

Adds 8 on both sides:

y=\frac{1}{2}x-2+8\\y=\frac{1}{2}x+6

Convert to function notation:

f(x)=y\\f(x)=\frac{1}{2} x+6

Therefore, the linear function which represents the line given by the point-slope equation is (B) f(x)=\frac{1}{2} x+6.

Know more about linear functions here:

brainly.com/question/15602982

#SPJ4

The complete question is given below:

Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals start fraction one-half end fraction left-parenthesis x minus 4 right-parenthesis. (x – 4)?

A) F(x) = f(x) equals StartFraction one-half EndFraction x plus 4.X + 4

B) f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.

C) X + 6 f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.X –10

D) f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.X – 12

3 0
1 year ago
A soccer ball is kicked from the ground with an initial upward velocity of 120 feet per second. The equation h(t) = -16t² + 120t
Zolol [24]

Answer:

176 feet

Step-by-step explanation:

substitute t = 2 into the equation

h(2) = - 16(2)² + 120(2) = - 64 + 240 = 176 feet


4 0
3 years ago
5) What is the median of the data? 5, 28, 16, 32, 5, 16, 48, 29, 5, 35
mixer [17]

Answer:

the answer is 22

Step-by-step explanation:

hoped I helped! i had messed up the first time lol

4 0
3 years ago
Read 2 more answers
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