What is the angle measure θ in degrees such that cos(θ) = 2/16? Round your answer to the nearest degree.

Answers

Answer 1

Answer: 83 degrees

Step-by-step explanation:

In order to find theta, you must take the arccosine of both sides. The arccosine eliminates the cosine, and extracts the argument. Therefore:

[tex]cos(x)=\frac{2}{16} =\frac{1}{8}[/tex]

[tex]arccos(cos(x))=arccos(\frac{1}{8} )=x[/tex]

Use a calculator the find the arccosine of 1/8. Its nearly impossible to find the exact answer without one:

[tex]x=arccos(\frac{1}{8} )[/tex]

[tex]x=83[/tex]


Related Questions

What is the area of the shape below?

Answers

Answer:

A = 192 units²

Step-by-step explanation:

the figure is a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between the bases and b₁, b₂ are the bases

here h = 12 , b₁ = 12 , b₂ = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²

please help me

To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).

The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.


SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV

How many outcomes include red sauce or sausage?

Enter you answer as a number, like this: 42

Answers

Answer:

8

Step-by-step explanation:

I bolded what I think is important to know.

To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).

The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.

SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV

How many outcomes include red sauce or sausage?

If the probability of a basketball player making a shot is 5/12, what is the probability of him not making a shot

Answers

Answer:

5 percent of 12 is 0.6

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

total = 12/12

p(shot) = 5/12

p(not making shot) = 7/12

because

12/12 - 5/12 = 7/12

Hope this helped!

Tara runs along a straight running path at a constant rate of 410
feet per minute. Which graph represents Tara's run?
Please can you help me ?!asap!!!

Answers

Answer:

Looks like A

Step-by-step explanation:

Write (x^2) ^4without exponents

Answers

Answer:

[tex]x * x + x * x * x * x = y[/tex]

The formula for finding exponents is multiply the number following the exponent by itself that number of times.

Solve for a
SOLVE ASAP!!

Answers

Have a good rest of your Day

John, Cindy, and Isaiah went to the store to buy school supplies. John bought 2 pens, 3 folders, and 4 notebooks for a total of $20. Cindy bought 5 folders and 5 notebooks for a total of $25. Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11

Answers

Using a system of equations, it is found that:

Each pen costs $0.6.Each folder costs $0.4.Each notebook costs $4.4.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: The cost of a pen.Variable y: The cost of a folder.Variable z: The cost of a notebook

John bought 2 pens, 3 folders, and 4 notebooks for a total of $20, hence:

2x + 3y + 4z = 20.

Cindy bought 5 folders and 5 notebooks for a total of $25, hence:

5y + 5z = 25.

x + z = 5.

x = 5 - z.

Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11, hence:

3x + y + 2z = 11.

y = 11 - 3x - 2z

Replacing the second and the third equation on the first, we have that:

2x + 3y + 4z = 20.

2(5 - z) + 3(11 - 3x - 2z) + 4z = 20.

10 - 2z + 3[11 - 3(5 - z) - 2z] + 4z = 20.

2z + 3(11 - 15 + 3z - 2z) = 10

2z + 3(z - 4) = 10

5z = 22.

z = 4.4

x = 5 - z = 5 - 4.4 = 0.6

y = 11 - 3x - 2z = 11 - 3(0.6) - 2(4.4) = 0.4.

Hence:

Each pen costs $0.6.Each folder costs $0.4.Each notebook costs $4.4.

More can be learned about a system of equations at https://brainly.com/question/24342899

Bill drove 605 miles in 11 hours. At the same rate, how many miles would he drive in 5 hours?

Answers

Answer:

Step-by-step explanation:

605/11 = x/5

11x = 3025

x = 275 miles

Answer:

275 miles

Step-by-step explanation:

Bill drove 605 miles in 11 hours , so by the formula , Speed = Distance/ time

We can find that ,

Speed = 55 miles/hours

So , In 5 hours he will drive

Distance = Speed × Time

Distance = 55 × 11

Distance = 275 miles

Please answer number 6. Thank you.

Answers

I AM LIKE 50/50 sure but I believe the answer is C.

who can answer? ill give brainlist

Answers

Answer:

2.23

Step-by-step explanation:

we get this by making the fraction a decimal and finding out the value of each section

Freida tossed a coin 3 times and it always landed on head. Fine the probability of tossing a head.​

Answers

Answer: 1/2

Step-by-step explanation: This is a coin. Having heads three times in a row will never change that a coin is two sided and random, meaning it will never affect the coin to always be heads. They were most likely just lucky to get heads all the time. It will always be 1/2 since the coin is inanimate and is not like selecting classmates from a team, it cannot know it's probabilities and affect it. Thus it is 1/2 probability.

This can be simplified in the equation: P(H) = 1/2, P(T) = 1/2, P(H | T) = 1/2

Logarithms
Please do not answer with a link, not only can I not access it (nor would I be comfortable doing so) but the answer will be immediately deleted.

Answers

Answer:

[tex]\huge\boxed{\sf -2.280}[/tex]

Step-by-step explanation:

Finding value of log₃(4/49):

[tex]\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\[/tex]

Given that:

log₃4 ≈ 1.262, log₃7 ≈ 1.771

Put the values in the above expression

[tex]= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}[/tex]

Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by the function y= 1/8(x^2-4) where x and y are measured in feet. The x-axis represents the top of the opening dish.

Write a quadratic function that models the cross section of the satellite dish that is 6 feet wide and 1.5 deep.

Answers

The cross section of the satellite dish is an illustration of a quadratic function

The quadratic function that models the cross-section is y = 1/6(x^2 - 9)

How to determie the equation of the cross-section?

The given parameters are:

Width = 6 feet

Depth = 1.5 feet

Express the width the sum of two equal numbers

Width = 3 + 3

The above means that, the equation of the cross section passes through the x-axis at:

x = -3 and 3

So, we have:

y = a(x - 3) * (x + 3)

Express as the difference of two squares

y = a(x^2 - 9)

The depth is 1.5.

This is represented as: (x,y) =(0,-1.5)

So, we have:

-1.5 = a(0^2 - 9)

Evaluate the exponent

-1.5 = -9a

Divide both sides by -9

a = 1/6

Substitute 1/6 for a in y = a(x^2 - 9)

y = 1/6(x^2 - 9)

Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)

Read more about quadratic functions at:

https://brainly.com/question/1497716

is 56/72 and 7/9 proportional

Answers

Answer:

Yes.

Step-by-step explanation:

7 x 8= 56

9 x 8= 72

56/72 is proportional to 7/9

Answer:

[tex]\frac{56}{72}[/tex] and [tex]\frac{7}{9}[/tex] are indeed proportional

Step-by-step explanation:

In order to confirm that [tex]\frac{7}{9}[/tex] is proportional to [tex]\frac{56}{72}[/tex], you need to make sure both fractions share the same denominator. In this case, it is better to multiply 9 by a value that causes the product to be 72 than to divide 72 by a number to get to 9. 72 is eight times greater than 9, so you multiply [tex]\frac{7}{9}[/tex] by [tex]\frac{8}{8}[/tex] (This is important as you need to make sure you aren't changing the value of the fraction when multiplying a number to it, so you must be sure to multiply your fraction by the number over itself - which is essentially one - to ensure that you are keeping the value of the fraction the same) and you will get [tex]\frac{7*8}{9*8} =\frac{56}{72}[/tex], this means the fractions [tex]\frac{7}{9}[/tex] and [tex]\frac{56}{72}[/tex] are proportional.

contractor charges $1,200 for 100 square feet of roofing installed. At this rate, how much does it cost to have 1,100 square feet installed?

Answers

Answer:

1200

Step-by-step explanation:

Answer:

$13200

Step-by-step explanation:

1200$ = 100

? =1100

(1200*1100) ÷ 100

(1 320 000) ÷100

$13200

On a coordinate plane, how are the locations of the points (-5 , -3) and (5 , -3) related? A. Reflection across both axes B. Locations unrelated C. Reflection across the x-axis D. Reflection across the y-axis

Answers

Answer:

D. Reflection across the y-axis

Step-by-step explanation:

In the points (-5, -3) and (5, -3), first, notice that the y-coordinates are the same. However, the x-coordinates are positive and negative, meaning one will be on the left side of the y-axis and one will be on the right side of the y-axis, bringing us to answer D. Graph proof is also attached.

find the sum of all even numbers between 1 to 350​

Answers


The sum of all even numbers between 1-350 is 30450.

PLS PLS PLS HELP ME!!!​

Answers

Answer:

68.

Step-by-step explanation:

90-degree angles.

90 - 22 = 68.

Equations, graphs, Slopes and y-intercepts : application

Answers

Answer:

[tex]\sf y= \dfrac{1}{2}x-5[/tex]

Explanation:

coordinates taken: (0, -5), (6, -2)

slope:

[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{-2--5}{6-0}[/tex]

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

equation in slope intercept form:

y = m(x) + b                          [ where "m is slope", "b is y-intercept" ]

[tex]\sf y= \dfrac{1}{2}x-5[/tex]

Answer:

[tex]y=\frac{1}{2}x-5[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To find slope, we use points on the line.

Here, I will be suing (-6, -8) and (8, -1)

[tex]m=\frac{1-(-8)}{8-(-6)} \\\\m=\frac{-1+8}{8+6} \\\\m=\frac{7}{14}\\\\m=\frac{1}{2}[/tex]

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{2} x+b\\[/tex]

Now, we use either of our points (-6, -8) OR (8, 1) to find b.

I will be using (8, -1):

[tex]y=\frac{1}{2}x+b\\\\-1=\frac{1}{2}(8)+b\\\\-1=4+b\\\\-4-4\\\\-5=b[/tex]

[tex]y=\frac{1}{2}x+b== > y=\frac{1}{2}x-5[/tex]

Check your answer manually: (-6, -8)

[tex]y=\frac{9}{14}x-\frac{29}{7}\\\\-8=\frac{9}{14}(-6)-\frac{29}{7}\\\\-8=\frac{9}{7}(-3)-\frac{29}{7}\\\\-8=-\frac{27}{7}-\frac{29}{7}\\\\-8=-\frac{56}{7}\\\\-8=-8[/tex]

This statement is correct.

*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*

Hope this helps!

Question in picture below.

Answers

B I believe is the answer thank you

Matt has rode his bike 700 meters from the front of the church. He has rode his bike for how many centimeters?

Answers

70,000 centimeters

Step-by-step explanation:

1 meter = 100 centimeters

700 x 100 =70,000

70,000 centimeters. multiply 700 by 100 because there are 100 centimeters in a meter

PLEASE HELP ASAP

84 = h – 8

h = ​

Answers

Hello!

Let's solve this equation:

84=h-8

This is the same as

h-8=84

Add 8 to both sides:

h=84+8

h=92

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

It =92 since you gotta use inverse operations to solve -8+8=0 84+8=92
H=92

Find the critical t-value that corresponds to % confidence. Assume degrees of freedom

Answers

Using a t-distribution, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

How to find the critical value for a t-distribution confidence interval?

It is found with the help of a calculator, having two inputs:

The confidence level.The number of degrees of freedom, which is one less than the sample size.

Hence, using a calculator, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

More can be learned about the t-distribution at https://brainly.com/question/16162795

What is x in this equation -3x+7 = 1

Answers

the answer is x=2 because you have to subtract 7 on both sides so you get -3x=-6 then to get x alone you have to divide by -3 because a negative and a negative divided together makes a positive so you divide -3 to both sides and you get x=2

what is 0.63 divided by 0.21 (can you please show work)

Answers

[tex]\dfrac{0.63}{0.21}=\dfrac{0.63 \times 100}{0.21 \times 100}=\dfrac{63}{21}=\dfrac{21 \times 3}{21}=3[/tex]

Answer: in the file

Step-by-step explanation: in the file

Find the highest number which divides 144,384 and 432 without leaving remainder​

Answers

Answer:

i think its 48

since 144384 divided by 48 would be 3008 and 432 divided by 48 would be 9. I believe thats the highest it can go to.

Can someone help me out please

Answers

Mucopolysaccharidosis

is x+4 a factor of P(x)=4x^2-4x+8?​

Answers

Answer:

(x^3-2x^2-4)*(x+2)

Step-by-step explanation:

Complete the sentence.
13. The slopes of perpendicular lines are?

Answers

Answer:

negative reciprocals of each other

Step-by-step explanation:

internet

PLS HELP ME I WILL MARK THE BRAINLIEST

Answers

Answer:

1. 155 yd², 2. 379.54 ft², 5. x = 65.82π

Step-by-step explanation:

1. A = (1/2) · (3 + 13) · 8

A = (1/2)(16)(8)
A = 64
A = bh
A = 13*7
A = 91
64 + 91 = 155
155 yd²

2. A = bh
A = 25x25
A = 625
A = πr²
A = 3.14*12.5²
A = 3.14*156.25
A = 490.625
490.925/2 = 245.4625
625 - 245.4625 = 379.5375
379.54 ft²

3. and 4. Sorry, I don't know how to solve these

5. A = πr²
A = 3.14*7²
A = 3.14*49
A = 153.86
x/154 = 153.86π/360
360x = 154*153.86π
360x = 23694.44π
x = 65.8178889π
x = 65.82π

Hope this helps :)

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