Degree and Radian Measures

Convert the angle to radians. Leave as a multiple of /pi (π)
390°

a. 13/pi/5
b. 13/pi/12
c. 13/pi/3
d. 13/pi/6

Please select the best answer from the choices provided

Answer:

hold on ill edit this once i get answer!! <3

Step-by-step explanation:

Answer:

[tex]a =22[/tex]

[tex]b = 11[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find a and b

Using cosine formula, we have:

[tex]\cos \theta = \frac{Adjacent}{Hypotenuse}[/tex]

So, we have:

[tex]\cos (30) = \frac{11\sqrt 3}{a}[/tex]

Make a the subject

[tex]a = \frac{11\sqrt 3}{\cos (30)}[/tex]

[tex]\cos(30) = \frac{\sqrt 3}{2}[/tex]

So, we have:

[tex]a = \frac{11\sqrt 3}{\frac{\sqrt 3}{2}}[/tex]

Rewrite as:

[tex]a = 11\sqrt 3 \div \frac{\sqrt 3}{2}[/tex]

This gives:

[tex]a = 11\sqrt 3 * \frac{2}{\sqrt 3}[/tex]

[tex]a = 11 * 2[/tex]

[tex]a =22[/tex]

To solve for b, we use Pythagoras theorem

[tex]a^2 = b^2 + (11\sqrt 3)^2[/tex]

[tex]22^2 = b^2 + (11\sqrt 3)^2[/tex]

[tex]484 = b^2 + 363[/tex]

Collect like terms

[tex]b^2 = 484 - 363[/tex]

[tex]b^2 = 121[/tex]

Take positive square roots

[tex]b = \sqrt {121[/tex]

[tex]b = 11[/tex]

Answer:

3

Step-by-step explanation:

(six times a number) is (equal) to (the number increased by 15)

            6x                          =                            x + 15

6x = x + 15

Subtract x from both sides

5x = 15

Divide both sides by 5

x = 3

Answer:

C. -1

Step-by-step explanation:

I calculated it logically

Answer:

-1

Step-by-step explanation:

cos = opp/hyp

At 180º

adj  = -1

hyp = 1

Cos 180 = -1/1 = -1

Answer:

[tex]Width = 4ft[/tex]

[tex]Height = 4ft[/tex]

[tex]Length = 8ft[/tex]

Step-by-step explanation:

Given

[tex]Volume = 128ft^3[/tex]

[tex]L = 2W[/tex]

[tex]Base\ Cost = \$9/ft^2[/tex]

[tex]Sides\ Cost = \$6/ft^2[/tex]

Required

The dimension that minimizes the cost

The volume is:

[tex]Volume = LWH[/tex]

This gives:

[tex]128 = LWH[/tex]

Substitute [tex]L = 2W[/tex]

[tex]128 = 2W * WH[/tex]

[tex]128 = 2W^2H[/tex]

Make H the subject

[tex]H = \frac{128}{2W^2}[/tex]

[tex]H = \frac{64}{W^2}[/tex]

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

[tex]A = LW + 2(WH + LH)[/tex]

The cost is:

[tex]Cost = 9 * LW + 6 * 2(WH + LH)[/tex]

[tex]Cost = 9 * LW + 12(WH + LH)[/tex]

[tex]Cost = 9 * LW + 12H(W + L)[/tex]

Substitute: [tex]H = \frac{64}{W^2}[/tex] and [tex]L = 2W[/tex]

[tex]Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)[/tex]

[tex]Cost =18W^2 + \frac{768}{W^2}*3W[/tex]

[tex]Cost =18W^2 + \frac{2304}{W}[/tex]

To minimize the cost, we differentiate

[tex]C' =2*18W + -1 * 2304W^{-2}[/tex]

Then set to 0

[tex]2*18W + -1 * 2304W^{-2} =0[/tex]

[tex]36W - 2304W^{-2} =0[/tex]

Rewrite as:

[tex]36W = 2304W^{-2}[/tex]

Divide both sides by W

[tex]36 = 2304W^{-3}[/tex]

Rewrite as:

[tex]36 = \frac{2304}{W^3}[/tex]

Solve for [tex]W^3[/tex]

[tex]W^3 = \frac{2304}{36}[/tex]

[tex]W^3 = 64[/tex]

Take cube roots

[tex]W = 4[/tex]

Recall that:

[tex]L = 2W[/tex]

[tex]L = 2 * 4[/tex]

[tex]L = 8[/tex]

[tex]H = \frac{64}{W^2}[/tex]

[tex]H = \frac{64}{4^2}[/tex]

[tex]H = \frac{64}{16}[/tex]

[tex]H = 4[/tex]

Hence, the dimension that minimizes the cost is:

[tex]Width = 4ft[/tex]

[tex]Height = 4ft[/tex]

[tex]Length = 8ft[/tex]

Answer:

Step-by-step explanation: the answer is 5

Answer:

64/7

Step-by-step explanation:

multiply -16 by -4

Answer:

The upper left

Step-by-step explanation:

Answer:

z=4

Step-by-step explanation:

10=z+6

10-6=z

z=4

Answer:

z = 4

Step-by-step explanation:

10 = z + 6

z = 10 - 6 = 4

I need some more letters to post

Answer:

Solution given:

height[p]=20m

angle of depression [a]=25°

base[b]=?

we have

Tan a=p/b

tan 25=20/b

b=20/tan25

b=42.89 or 43

the tower is 43m far from the vehicle .

Answer:

[tex]2x + 15 + x = 171 \\ 3x = 171 - 15 \\ 3x = 156 \\ \frac{3x}{3} = \frac{156}{3} \\ x = 52[/tex]

Step-by-step explanation:

i hope this is helpful

Answer:

-2

Step-by-step explanation:

Answer:

The volume is: [tex]135m^3[/tex]

Step-by-step explanation:

Given

[tex]h = 5m[/tex] ---- height

[tex]l=9m[/tex] -- length

[tex]w = 6m[/tex] --- width

Required

Determine the volume (V)

The volume of a triangular prism is:

[tex]V = 0.5lwh[/tex]

So, we have:

[tex]V = 0.5 * 5m * 9m * 6m[/tex]

[tex]V = 135m^3[/tex]

Answer:

A

Step-by-step explanation:

Answer:

its d , Late payment interest

Step-by-step explanation:

Answer:

4 x 10^12

Step-by-step explanation:

Just subtracte the power since it is division

8- (-4)=12

Answer:

Step-by-step explanation:

Identity of the square of a sum:

Applied to given equation:

The added constant is 9

Answer:

Solution given:

equation is:

1=x²-6x

x²-6x-1=0

comparing above equation with ax²+bx+c=0

we get

a=1

b=-6

c=-1

now

constant no.[tex] {(\frac{b}{2})}^{2}= {(\frac{-6}{2})}^{2}=\frac{36}{4}=9[/tex]

constant required no is 9.

5x + 2 = 17

where x = 3

i hope this may be helpful

Answer:

part 1. -1 1/2

part 2. On letter A

Explanation:

D=0

B=-1

C=-1/2

-1 + -1/2= -1 1/2

Answer:

-1 1/2

Step-by-step explanation:

B is -1

C is -1/2

D is 0

-1 + (-1/2) = -1 1/2

Answer:

Hence, the probability of a Negative test is [tex]P(T^C)=0.5904[/tex].

Step-by-step explanation:

(a)

Let [tex]D=[/tex] Drug user and [tex]T=[/tex] Test positive

Probability of drug users [tex]P(D)=36\%=0.36[/tex]

                                    [tex]P(\frac{T}{D})=96\%=0.96[/tex]

                                   [tex]P(\frac{T^c}{D^c})=90\%=0.90[/tex]

(b)

Find the Probability of a Negative test,

     [tex]P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)[/tex]

[tex]\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36[/tex]

[tex]\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36[/tex]

[tex]\Rightarrow P(T^C)=0.576+0.0144[/tex]

[tex]\Rightarrow P(T^C)=0.5904[/tex]

Answer:

B

Step-by-step explanation:

Answer:756

Step-by-step explanation:

Take 12 and multiply it by 60 since that’s how many seconds are in a minute then add 36

Hope this helps

Answer:

[tex]3\frac{3}{49}[/tex]

Step-by-step explanation:

This one is pretty simple. 50 fits into 150 perfectly 3 times. If we take one out of the denominator, we must add one to the numerator after every whole number being taken out of the fraction and put in the ones spot.

Answer:

You have to find how many times 49 can fit into 150 and then that number is the whole and the remaining will be the numerator and 49 will stay as the denominator.

Step-by-step explanation:

Answer:

4.086 < 5.025                 true

6.37 = 6.370                   true

64.28 > 64.281                false

11.716 < 11.708                 false

64.28 > 64.281                false

3,756.082 < 3,756.802   true

Step-by-step explanation:

First, let's define how the symbols work.

a < b  means that a is strictly smaller than b

a > b means that a is strictly greater than b

Also, for rounding up or down:

Suppose that we want to round to the second decimal after the decimal point.

Then, we need to look at the third one, if it is 5 or larger, we round up.

if it smaller than 5, we round down.

We need to see if each statement is true or not.

a) 4.086 < 5.025

This is true, the number 5.025 is larger than 4.086 (you only need to see at the units digit) So this statement is true.

b) 6.37 = 6.370

Because the third digit is equal to zero, we can round down the right number to 6.37, then the equality is true.

c) 11.716 < 11.708

11.716 is actually larger than 11.708, so this statement is false

d) 64.28 > 64.281

We have that:

64.28 + 0.001 = 64.281

Then 64.281 is larger than 64.28, so this statement is false.

e) 3,756.082 < 3,756.802

By looking at the numbers after the decimal point, we can see that the right number is larger than the left one, then the statement is true.

Answer:

$68

Step-by-step explanation:

=> 20% 0f 340

=> (20/100) * 340

=> (1/5) * 340

=> (340/5) = 68

Sarah spends $68 dollar on transportation.

Thenks and mark me brainliest :)

72 / 8 - 2 x 3 + 1 equals 1

(72 / 8) - 2 x 3 + 1 equals 4

72 / (8 - 2) x 3 + 1 equals 37

72 / (8 - 2) x (3 + 1) equals 48

Following Add-On Contains the content I think your doing:

The expressions are arranged in ascending order will be 72÷8−2×(3 + 1) > (72÷8)−2×3+1 > 72÷(8−2)×3+1 > 72÷(8−2)×(3+1).

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The expressions are given below:

72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)

Simplify the expression, then we have

72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)

9−2×4, 9−6+1, (72÷6)×3+1, (72÷6)×4

1, 2, 37, 48

More about the ascending order link is given below.

https://brainly.com/question/320500

#SPJ2

0.005m

Measuring properties of a given entity is always prone to error and hence leads to inaccuracy in the resulting measurement. One of such errors is the absolute error.

Absolute error is the difference between the actual/exact value and measured value.

The classroom has been measured to have a perimeter of 62.25m. This shows that it is accurate to 0.01 of a meter. This means that the actual measurement of the classroom could either be 0.005m more or less than the measured value.

In other words, the actual value of the classroom is

62.25 ± 0.005 m

This difference of 0.005 m gives the absolute error.

Answer:

The answer is A Lma/o

Step-by-step explanation: