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Vikki [24]
3 years ago
12

What is the exact value of cos(–60º)?

Mathematics
2 answers:
Aloiza [94]3 years ago
4 0

Answer:

The exact value of cos(-60\°)=(1/2)

Step-by-step explanation:

we know that

The angle -60\° belong to the fourth quadrant

The function cosine is positive in the first and in the fourth quadrant

so

cos(-60\°)=cos(60\°)

Remember that

cos(60\°)=(1/2)

so

cos(-60\°)=(1/2)

ladessa [460]3 years ago
3 0
The exact value is. +1/2.
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The sum of 15 and a number is equal to 85. What is the number
mars1129 [50]

Answer:

The sum of 15 and a number is

85 - 15 = 70

6 0
3 years ago
A linear function and an exponential function are graphed below. Find possible formulas for the functions f(t), in blue, and g(t
Zielflug [23.3K]

Answer:

f(t) = -t + 21

g(t) = 18*e^( - t / 12 + 1/4 )

Step-by-step explanation:

Given:

- The graphs for the similar question is attached.

- The same graph would be used as reference but with different coordinates for point of intersection of f(t) and g(t) @ ( 3 , 18 ) & ( 15 , 6 ).

Find:

- The formulas for functions f(t) and g(t).

Solution:

- First we will determine f(t) the blue graph which is a "linear" function. The general equation for the linear function is given as:

                                    f(t) = m*t + c

Where, m: is the gradient  ( constant )

            c: The f(t) intercept. ( constant )

- The gradient m can be determined by the given points that lie on the graph:

                         m = ( f(t2) - f(t1) ) / ( t2 - t1 )

                         m = ( 6 - 18 ) / ( 15 - 3 )

                         m = -12 / 12 = -1

- The constant c can be evaluated by using any one point and m substituted back into the linear expression as follows:

                          f(t) = -t + c

                          18 = -(3) + c

                           c = 21

- The function f(t) is as follows:

                            f(t) = -t + 21

- The general expression for an exponential function can be written as:

                           g(t) = a*e^(b*t)

Where, a and b are constants to be evaluated.

- We will develop two expressions for g(t) using two given points that lie on the curve as follows:

                           18 = a*e^(3*b)

                           6 = a*e^(15*b)

- Divide the two expressions we have:

                           3 = e^( 3b - 15b )

                           Ln(3) = -12*b

                           b = - Ln(3) / 12

- Then the expression 1 becomes:

                          18 = a*e^( - Ln(3)*3 / 12)

                          18 = 3*a*e^(-1/4)

                           6 = a / e^(0.25)

                           a = 6*e^( 1 / 4 )

- The function g(t) can be expressed as:

                          g(t) = 18*e^( - t / 12 + 1/4 )

3 0
3 years ago
A 13 meter long cylinder with a diameter of 8 meters has a square prism with a base length of 3 meters hole going all the way th
BartSMP [9]

The volume of the solid is 626.12m³

<h3>Volume of composite solids.</h3>

The volume of the given composite solid = volume of cylinder - volume of cube

The volume of cylinder Vc = πr²h

Vc = 3.14(8/2)²(13)

Vc = 3.14(16)(13)

Vc = 653.12 m³

Similarly the volume of the cube:

Volume of cube = 3³

Volume of cube = 27 m³

Volume of the solid = 626.12m³

Hence the volume of the solid is 626.12m³

Learn more on volume of composite solid here; brainly.com/question/9076728

3 0
3 years ago
Find the volume of the sphere. Round your answer to the nearest tenth.
dusya [7]

Answer:

Step-by-step explanation:

Remark

All you need do is find the radius and put it into the formula V = (4/3) pi r^3.

Givens

d = 12 yards

r = d/2

Solution

r = 12 yds/2 = 6 yds

V = 4/3 pi r^3

V = 4/3 * 3.14 * 6*6*6

V = 904.32

Answer 904.4 yd^3

8 0
2 years ago
What is the answer 2y 5x=6
denis-greek [22]
Its simple take out the y and take out the x, you get 25=6!!!!!!!
4 0
3 years ago
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