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Aleks [24]
2 years ago
14

Which of these is equal to cos 19°?

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
4 0
Hello there.

Question: <span>Which of these is equal to cos 19°?

Answer: There aren't any options so i can only give the value for it which is 0.9455

</span>Hope This Helps You!
Good Luck Studying ^-^
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#2 is the one I need help with
sleet_krkn [62]

Step-by-step explanation:

By arc sum Postulate of a circle:

2 x + 3x + 4x = 360°

9x = 360°

x = 360°/9

x = 40°

3x = 3* 40° = 120°

By inscribed angle theorem:

m\angle 1= \frac {1}{2} \times 3x\\\\\therefore m\angle 1= \frac {1}{2} \times 120°\\\\\huge \red {\boxed {\therefore m\angle 1= 60°}}

By tangent secant theorem:

m\angle 2 = \frac {1}{2} \times 3x\\\\\therefore m\angle 2 = \frac {1}{2} \times 120°\\\\\huge \purple {\boxed {\therefore m\angle 2 = 60°}}

Since, measure of central angle is equal to the measure of its corresponding minor arc.

m\angle 3 = 3x\\\\\huge \pink {\boxed {\therefore m\angle 3 = 120°}}

By angle sum Postulate of a triangle:

m\angle 3 + 2 m\angle 4 = 180°\\\\120° + 2 m\angle 4 = 180° \\\\2 m\angle 4 = 180°- 120° \\\\2 m\angle 4 = 60° \\\\m\angle 4 = \frac {60°}{2} \\\\\huge \orange {\boxed {m\angle 4 =30°}}

3 0
3 years ago
In triangle abc, cos A= -0.6. Find A and Tan A
Tresset [83]

Answer:

Part 1) A=126.87^o

Part 2) tan(A)=-\frac{4}{3}

Step-by-step explanation:

we have

cos(A)=-0.6

The cos(A) is negative, that means that the angle A in the triangle ABC is an obtuse angle and the value of the sin(A) is positive

The angle A lie on the II Quadrant

step 1

Find the measure of angle A

cos(A)=-0.6

using a calculator

A=cos^{-1}(-0.6)=126.87^o

step 2

Find the sin(A)

we know that

sin^2(A)+cos^2(A)=1

substitute the value of cos(A)

sin^2(A)+(-0.6)^2=1

sin^2(A)=1-0.36

sin^2(A)=0.64

sin(A)=0.8

step 3

Find tan(A)

we know that

tan(A)=\frac{sin(A)}{cos(A)}

substitute the values

tan(A)=\frac{0.8}{-0.6}

Simplify

tan(A)=-\frac{4}{3}

5 0
2 years ago
After four rounds, 74 teams are eliminated from a robotics competition. There are 18 teams remaining. Write and solve an equatio
Mariulka [41]
It is 92 .............
4 0
3 years ago
The values in the table represent a linear function. How does the value of y change in relation to a change in the value of x?
Verizon [17]

if x is changed by 2 , the y changes by  +3, Option B is the correct answer.

<h3>What is the  equation of a Linear Function ?</h3>

The equation of a Linear Function is given by

y = mx +c

here m is the slope , c is the intercept on the y axis

The data is given in the table

To determine the relation , a function needs to be established between the variables.

m = ( y2 -y1 )/(x2-x1)

m = (-7 +10) /(-2+4)

m = 3 / 2

y = (3/2)x + c

at x = 0 , y= -4

-4 = 0 + c

c = -4

The function is

y = (3/2) x - 4

if x is changed by 2 , the y changes by  +3

Therefore Option B is the correct answer.

To know more about Linear Function

brainly.com/question/21107621

#SPJ1

7 0
1 year ago
Find all integers $n$ for which $\frac{n^2+n+1}{n-1}$ is an integer.
Grace [21]
\dfrac{n^2+n+1}{n-1}=\dfrac{(n-1)^2+3(n-1)+3}{n-1}=n-2+\dfrac3{n-1}

The remainder term \dfrac3{n-1} will never vanish, and will always be rational as long as the denominator is not 1, 3, or -3.

n-1=1\implies n=2
n-1=3\implies n=4
n-1=-3\implies n=-2
7 0
3 years ago
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