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laiz [17]
3 years ago
9

In triangle abc, cos A= -0.6. Find A and Tan A

Mathematics
1 answer:
Tresset [83]3 years ago
5 0

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}

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labwork [276]

Answer:

  a) see the plots below

  b) f(x) is exponential; g(x) is linear (see below for explanation)

  c) the function values are never equal

Step-by-step explanation:

a) a graph of the two function values is attached

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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).

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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.

In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.

4 0
3 years ago
A grid is 10 squares high and 10 squares wide. The distance between each grid square is 3 feet. The triangular viewing area of c
meriva

Answer:

1) 8

2) 450 ft^2

Step-by-step explanation:

Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.

The left over space in the store is the same amount of space as all the cameras space added together since each camera takes up half a square. That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the left over space, 450 ft^2.

7 0
2 years ago
Read 2 more answers
What is the following product?
umka21 [38]

Answer:

10 sqrt 3.

Step-by-step explanation:

sqrt30 = sqrt10 * sqrt 3

so sqrt30 * sqrt10

= sqrt10 * sqrt10 * sqrt3

= 10 sqrt 3.

5 0
3 years ago
Question 5 please help
dalvyx [7]
16 days since 2/5 is 0.4 and there was 40 days then 2/5 * 40 is 16

6 0
3 years ago
Can someone help me with this ?
romanna [79]

Answer:

\large\boxed{S.A.=467\ in^2}

Step-by-step explanation:

We have two triangles and three rectangles.

The formula of an area of a triangle:

A_{triangle}=\dfrac{bh}{2}

b - base

h - height

The formula of an area of a rectangle:

A_{rectangle}=lw

l - length

w - width

TRIANGLE:

b = 11 in, h = 7 in

A_1=\dfrac{(11)(7)}{2}=\dfrac{77}{2}=37.5\ in^2

RECTANGLE 1:

l = 11 in, w = 14 in

A_2=(11)(14)=154\ in^2

RECTANGLE 2:

l = 9 in, w = 14 in

A_3=(9)(14)=126\ in^2

RECTANGLE 3:

l = 8 in, w = 14 in

A_4=(8)(14)=112\ in^2

The Surface Area:

S.A.=2A_1+A_2+A_3+A_4

Substitute:

S.A.=2(37.5)+154+126+112=467\ in^2

6 0
3 years ago
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