What is the exact value of sinF?

What Is The Exact Value Of SinF?

Answers

Answer 1

Answer:

Option 2

Step-by-step explanation:

To find the sine of F, we have to find the length of the hypotenuse which is 2√13 from the Pythagorean Theorem. Then, sinF = opposite side / hypotenuse = 4 / 2√13 = 4√13 / 26 = 2√13 / 13. Hope this helps!


Related Questions

Sara's little brother is getting ready to color a picture of a rainbow that Sara drew for him. To make the task easier for her brother, Sara picks out
7 different colored crayons that match the colors of the rainbow and places them in a box. She asks her brother to randomly pick two crayons
from the box, one after the other.
The probability that the first color is violet and the second is orange, If the first crayon is replaced, is
The probability that the first color is violet and the second is orange, If the first crayon is not replaced, is

Answers

Answer:

1/14 or 7%.

Step-by-step explanation:

violet crayon probability: 1/7

Orange probability: 1/7

Violet, then orange probability: 1/14

1/14 = about 7%

f(x) = 3x + 2 and g(x) = x + 5

g[f(x)] =

A. 3x + 7
B. 3x + 17
C. 4x + 7

Answers

Answer:

A

Step-by-step explanation:

g[f(x)]=g(3x+2)=3x+2+5=3x+7

The function defined by g[f(x)] is equal to  3x+7. hence the correct option is A.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

We have been given the function as

f(x) = 3x + 2 and g(x) = x + 5

We need to find the function defined by g[f(x)]

g[f(x)] = g(3x+2)

g[f(x)] =3x+2+5

g[f(x)] = 3x+7

Therefore, the function defined by g[f(x)] is equal to  3x+7. hence the correct option is A.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

PLEASEEE HELPP!! Work must be shown for this problem! The figure shown below is a square.

Answers

Answer:

x=25

Step-by-step explanation:

4x-10=90

4x=100

x=25

Answer:

25

Step-by-step explanation:

We know that m∠9 is 90° because the diagonals of a square are perpendicular.

4x - 10 = 90

4x = 100

x = 25°

About 150,000 people live in a 8-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whole number.

Answers

Answer:

747  people per square mile

Step-by-step explanation:

population of  city's town hall = 150,000

Radius of  city's town hall = 8 mile

area of any circular shape is given by [tex]\pi r^2[/tex].

r is the radius of circle.

p

Area of city's town hall = [tex]\pi r^2= 3.12*8^2 = 3.14*64 = 200.96[/tex]

Population density for any place is ratio of population of that place to area of that place

Thus

Population density for city's town hall = population of  city's town hall /Area of city's town hall

Population density for city's town hall =  150,000/200.96

Population density for city's town hall= 746.42  people per square mile.

Population density for city's town hall  Rounded  to the nearest whole number is 747  people per square mile.

Calculate the volume of the 3-D composite figure please!! show how you got the volume

Answers

Answer: 10,488 cu. in.

Step-by-step explanation:

Volume of rectangular prism = l x w x h

= 16 x 18 x 23 = 6624 cu. in

Volumr of triangular prism = 1/2bh (height of prism)

= 1/2 x 23 x 21 x 16

= 3864 cu. in.

Volume of the figure = 6624 + 3864 = 10,488 cu. in

What expression represents the volume of the prism, in cubic units?


One-halfx3

One-halfx2 + x

2x3

2x2+ x

Answers

Answer:

Its A or 1/2x^3

Step-by-step explanation:

Just took the test

freds dog crate is 42 inches long, 24 inches wide, and has a height of 30 inches. what is the volume of the crate?

Answers

Answer:

20 icnhes

Step-by-step explanation:

not rlly

Explain how you can determine how much chicken salad
may be purchased for $52.50.​

Answers

Answer:

Depending on how much chicken salad can be purchased for $0.50, you multiply that number by $52.50/0.50.

Step-by-step explanation:

When solving 2(x + 5) = −8, the property used in the first step is the ___________. answers: distributive property substitution property addition property transitive property

Answers

Answer:

Distributive property.

Step-by-step explanation:

The 2 is being distributed to the x and 5

It's the first step due to PEMDAS (Parenthesis first)

Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your results to the nearest hundredth 180

Answers

Answer:

Option A. (-1, 0)

Step-by-step explanation:

In the figure attached,

Circle O is a unit circle (having radius r = 1 unit)

If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,

x = r.cosθ

x = 1.cosθ = cosθ

and y = r.sinθ

y = 1.sinθ = sinθ

Therefore, coordinates representing the point A will be (cosθ, sinθ).

As per question the given point A is lying at P (a point having central angle θ = 180°)

Coordinates of point P will be

(x', y') → (cos180°, sin180°)

        → (-1, 0)

Therefore, Option A will be the answer.

Please help in simplify these expressions

Answers

Answer:

1. 2y^2 x 3y

  6y^2 x y

  6y^3

2. (7x^5) (2x^2)

   14x^7

Step-by-step explanation:

Answer:

[tex]2y^2 \cdot 3y\\6y^3[/tex]

[tex](7x^5)(2x^2)\\14x^7[/tex]

please read the photo above first :))
a) 40
b) 160
c) 240
d) 320​

Answers

Answer: A

Step-by-step explanation:

This problem, may seem abit tricky, but this sequence is all about plugging in.

Since c₁=5, we can solve for c₂ and c₃.

c₂=c₁·2ⁿ⁻¹

c₂=5·2¹

c₂=10

Now that we have c₂, we can find c₃.

c₃=c₂·2ⁿ⁻¹

c₃=10·2²

c₃=40

divide x^3/4 over x^1/6

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{x^{\frac{3}{4} } }{x^{\frac{1}{6} } } = x^{\frac{3}{4} - \frac{1}{6} \\[/tex]

[tex]\frac{3}{4} - \frac{1}{6} = \frac{(3 * 6) - (4 * 1)}{(4 * 6)}[/tex]

[tex]\frac{18 - 4}{24} = \frac{14}{24} = \frac{7}{12}[/tex]

Tomi stacks four rectangular prisms to build a staircase. He plans to cover the tops, fronts, and sides of the stairs with brick-patterned paper. The rectangular prism at the top has a length of 11 inches, a width of 30 inches, and a height of 7 inches. How much paper, rounded to the nearest square foot, will Tomi need in order to cover the stairs? Explain.

Answers

Answer:

4 sq foot

Step-by-step explanation:

How is the product related to the first factor? 4/5 x 4/11

Answers

Answer

The product of the two factors with be a multiple of the first factor. That is, the product when divided by the first factor, will result in zero as the remainder. In this case, the product is 16/55 which is a multiple of 4/5.

Exterior angle equation:
3x= (x + 15) + 43

Answers

Answer:

x=29

Step-by-step explanation:

3x=x+58

2x=58

x=29

Please help!

The formula d= sqrt 1.5h gives the distance (d) in miles you can see to the horizon from a height of h feet above the earth. To the nearest mile, how many miles can you see to the horizon from the top of the Empire State Building at 1250 feet?

Answers

Answer:

d (miles) = (sqrt 1.5) * height (feet)

d (miles) = 1.2247448714  * 1,250

d (miles) = 1,530.93 miles

Step-by-step explanation:

Evaluate the expression 3.5x when x is 2.

Answers

Answer:

X= 7

Step-by-step explanation:

Since x= 2 you would plug it in 3.5 times 2 = 7

Answer:

7

Step-by-step explanation:

Which of the following statements is true about the function presented in the table?

a. The slope of the function is 4 and the y-intercept is 2.
b. The slope of the function is 4 and the y-intercept is -2.
c. The slope of the function is -2 and the y-intercept is 4.
d. The slope of the function is 2 and the y-intercept is 4.

Answers

Answer:

C. The slope of the function is -2 and the y-intercept is 4.

Explanation:

The y-intercept is the point when x = 0. On the table when x is 0, y is 4.

The slope of the function is -2 because the y value is going down by 2 for each +1 of x.

      x │ y

    -2 │ 8

     0 │ 4

  ↓ +1   ↓ -2

      1 │ 2

  ↓ +1   ↓ -2

     2 │ 0

find the median if this set of numbers: 7, 6, 19, 12, 16, 19, 19, 6 ​

Answers

Answer:

20

Step-by-step explanation:

Order the numbers from smallest to largest, then cross one number off until you have one or two numbers left.

If there is an EVEN number of numbers(like this one): there will be two numbers left, therefore you add those two numbers together, then divide by two.

If there is  an ODD number of numbers: there will be one number left, therefore that is your answer!

Hope this helps!

-PusheenDaCat1017

Jerry borrowed $8,000 for 5 years at 6.5% simple interest rate. How much interest is that?

Answers

The answer is $2600

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

$ 2600

Step-by-step explanation:

[tex]p = 8000 \\ r = 6.5\% \\ t = 5 \: \: years[/tex]

[tex] \frac{prt}{100} \\ = \frac{8000 \times 6.5 \times 5}{100} \\ = 2600[/tex]

What is the measure of arc c?
190
95
120
70

Answers

Answer:

70°

Step-by-step explanation:

By inscribed angle theorem:

[tex] 95° = \frac{1}{2}(c + 120°)\\\\

\therefore 95°\times 2 = c + 120°\\\\

\therefore 190° = c + 120°\\\\

\therefore c = 190° - 120°\\\\

\huge \orange {\boxed {\therefore c = 70°}} [/tex]

What's the rule?
25, 20, 15, 10

Answers

Answer:

subtract 5

Step-by-step explanation:

Hello

I think I can help you here.

The answer is:

The rule is 5!

Step-by-step explanation:

It goes up in 5's each time. The 5 times table.

Please mark my answer.

Cheers, Jake

Which describes renting?
a) a refundable amount paid in advance to protect the owner from damage or nonpayment
b) using a person’s property for a fee
c) a service such as electricity
d) a written agreement that allows a tenant to use a property for a set period of time

Answers

Answer:

d) a written agreement that allows a tenant to use a property for a set period of time.

Do the following points belong to the graph of the function f(x)=13−5x ? (-2,23)

Answers

Answer:

Yes!

Step-by-step explanation:

When we have problems like this we just plug them in. We take the -2 and we multiply it by the -5 to get a positive 10. We then add that to the +13 and it equals 23, so it works!

Yes!
You plug in the -2 into x and the 23 into f(x).

f(23)= 13-5(-2)
f(23)= 13+10
f(23)= 23

Which equation is a linear function?

Answers

im like 60% sure its y=x

Answer:

y = x

Step-by-step explanation:

In general ,A linear function has the form y = ax + b

so ,the functions :

y = √x

y = x²

y = x³

don’t meet the requirements of the definition

therefore none of them is linear.

but y = x is a valid choice (just put a = 1 and b = 0  in the expression y = ax + b)

Check all of the ordered pairs that satisfy the equation below.
y= 7x

Answers

Answer:

Step-by-step explanation:

im pretty sure its A, B, D

Hope this helps!

-Delilah

Help please is for Algebra

Answers

Answer:

[tex]=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}[/tex]

the third option is your answer

Step-by-step explanation:

[tex]\frac{5}{a-3}+\frac{3}{a+3}\\\mathrm{Least\:Common\:Multiplier\:of\:}a-3,\:a+3:\quad \left(a-3\right)\left(a+3\right)\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{5\left(a+3\right)}{\left(a-3\right)\left(a+3\right)}+\frac{3\left(a-3\right)}{\left(a+3\right)\left(a-3\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{5\left(a+3\right)+3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}[/tex]

[tex]\mathrm{Expand}\:5\left(a+3\right)+3\left(a-3\right):\quad 8a+6\\=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}[/tex]

Please help 50 points!!

Answers

Answer:

the first one

Step-by-step explanation:

Since x can be any value, -infinity must be less than x because you can always subtract 1 from x. Also, infinity must be more than x because you can always add 1 to x.

Answer:

The third option is the correct answer because it is proving the property.

Thank you

I've answered as fast as I can to answer your question.Hope you understood it.

Pls mark my answer as brainliest and follow me.

Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)

Answers

Answer:

[tex]8x+4y-2z-8z^2[/tex]

Step-by-step explanation:

Given

[tex](8x+3z-8z^2)+(4y-5z)[/tex]

Required

Write an expression that shows their sum

[tex](8x+3z-8z^2)+(4y-5z)[/tex]

Open Brackets

[tex]8x+3z-8z^2+4y-5z[/tex]

Collect Like Terms

[tex]8x+3z-5z-8z^2+4y[/tex]

[tex]8x-2z-8z^2+4y[/tex]

Reorder the polynomial

[tex]8x+4y-2z-8z^2[/tex]

Hence, [tex]8x+4y-2z-8z^2[/tex] is equivalent to [tex](8x+3z-8z^2)+(4y-5z)[/tex]

Answer:

D

Step-by-step explanation:

answer on edge

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