Find the sine and cosine of each angle as a fraction and as a decimal. Round to the nearest hundredth.

Find The Sine And Cosine Of Each Angle As A Fraction And As A Decimal. Round To The Nearest Hundredth.

Answers

Answer 1

Answer:

1st triangle:

sin(C): 0.64, [tex]\frac{16}{25}[/tex]

cos(C): 0.8, [tex]\frac{4}{5}[/tex]

Second triangle:

sin(C): 0.75, [tex]\frac{\sqrt{5} }{3}[/tex]

cos(C): 0.67, [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Using SOH CAH TOA, we know that to find the sin of an angle, it's Opposite/Hypotenuse.

To find the cos of an angle, it's adjacent/hypotenuse.

In the 1st triangle:

The adjacent to C is 16, the hypotenuse is 25.

[tex]\frac{16}{25} = 0.64[/tex] is the sin of C.

The adjacent to C is 20, and the hypotenuse is 25.

[tex]\frac{20}{25} = 0.8[/tex] is the cos of C.

In the second triangle:

The opposite to C is [tex]\sqrt{5}[/tex] and the hypotenuse is 2.

[tex]\frac{\sqrt{5} }{2} \approx0.75[/tex] is the sin of C.

The adjacent to C is 2 and the hypotenuse is 3.

[tex]\frac{2}{3} \approx 0.67[/tex] is the cos of C.

Hope this helped!

Answer 2
0.64 because it makes the most sense to me well because I looked it up too

Related Questions

How is 200,000 + 7,000 +500 + 3 written in standard form?

Answers

Answer:

207,503

Step-by-step explanation:

you just have to add the 4 numbers so you get 207,503

━━━━━━━☆☆━━━━━━━

▹ Answer

207,503

▹ Step-by-Step Explanation

200,000 + 7,000 + 500 + 3

= 207,503

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Match each function formula with the corresponding transformation of the parent function y = 3x
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis


Everything is exponents of the three except the -2 at the end and the 4th one is also +1 not an exponent

Answers

Answer:

1. y = -3^ x Translated up by 1 unit 2.

2.y = 3^ -x Reflected over the y-axis 3.

3.y = 3 ^x - 2 Translated right by 2 units 4.

4. y = 3 ^x + 1 Translated down by 2 units 5.

5. y = 3^ x + 1 Translated left by 1 unit 6.

6. y = 3 ^x - 2 Reflected over the x-axis

Step-by-step explanation:

Choose a system of equations with the same solution as the following system

Answers

Answer to this is- D
The answer is D option, which is the last

Factor the following expression completely:

32
z
4
+
8
z
3

4
z
2

Answers

Answer:

40z + 5

Step-by-step explanation:

I'm assuming you need to factor 32z + 4 + 8z + 3 - 4 + 2

32z + 8z ( since they both have the same variable ) = 40z4 + 3 - 4 + 2 ( since they have to variables ) = 5

Hope this helped

Answer:

The factored expression for the given equation is 4(8z⁴ + 2z³ - z²)

Step-by-step explanation:

In the problem, we a re given an equation.

32z⁴ + 8z³ - 4z²

We can factor out this equation by finding the common factor between all of the coefficients which are 32, 8, and 4.

A common factor between them is 4 because each number can be easily divided by 4. Each number is also a multiple of 4. So, when we are factoring, we will divide each number by 4 because 4 will be on the outside of the parentheses in the final answer.

4(8z⁴ + 2z³ - z²)

So, this is your factored expression from the given equation.

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18
The curved parts of the figure are arcs centered at points A and C. What is the approximate length of boundary ABCD? Use the value = 3
and round the answer to one decimal place.
5
С
30°
А
120°
5

Answers

Answer:

The correct answer is

C. 23.1

Step-by-step explanation:

i think this is correct

The answer is 23.1 formal

{(-2,8),(4,6),(10,4)} Which point, when added to the set, would form a relation that is not a function?

Answers

Answer:

Point : ( -2, 15 )

Step-by-step explanation:

A point that would make this relation not a function would be one that shares a common x - value with the other points. One common domain values for two range values would, when graphed, not follow the vertical test, hence making the relation not a function.

Let's say that the point is ( -2, 15 ). It has a common x - value with respect to the first point, ( -2, 8 ), and therefore would make this set not a function.

Answer:

Point : ( -2, 15 )

Step-by-step explanation:

Which mean the same as 60%? Check all that apply

a.3/5
b. 0.06
c. 0.60
d. 6/10
e. 6/100

Answers

Answer: c ; d ; a

step by step explanation:

3/5 can be 60%. Why? If you multiply 20 with 5 and 3, it would be 60/100. It is basically the same thing as 69%.

0.60 is the same as 60% because if you made it into a fraction, it would become 60/100. In result, 60%.

6/10 is the same as 60% because if you multiplied both numbers by 10, it would be 60/100. And again, it would become 60%.

Triangle ABC is dilated to form new triangle DEF. If angle A is congruent to angle D, what other information will prove that the two triangles are similar by the AA similarity postulate?
Angle B is congruent to angle E.
Side AB is congruent to side DE.
Angle C is congruent to angle D.
Side BC is congruent to side EF.

Answers

Answer:

Step-by-step explanation:

option A ,  angle B is congruent to angle E { SINCE IT IS AA POSTULATE

Answer:

B=E (b)

Step-by-step explanation:

The t distribution approaches the _______________ distribution as the sample size ___________.

Answers

Answer:

Normal; increases.

Step-by-step explanation:

In Statistics and probability, a student t-distribution also known as the t-distribution refers to the continuous probability distribution which can be used to estimate population parameters when the population variance or standard deviation is not known (unknown) and the sample population is relatively small. The student t-distribution is a statistical distribution which was published in 1908 by William Sealy Gosset.

The t-distribution approaches the normal distribution as the sample size increases because the parameters becomes negligibly smaller.

This ultimately implies that, when the degree of freedom of a t-distribution curve is increased in comparison with that of a normal distribution, the value of probability becomes significantly similar.

Normal; increases!!!

please help real quick ​

Answers

Divide total km by the km in the scale:

112 / 16 = 7

The answer is A. 7 cm

Answer:

7 cm

Step-by-step explanation:

1 cm : 16 km   :: x cm : 112 km

Product of mean = Product of extreme

16 * x = 1 * 112

x =[tex]\frac{112}{16}[/tex]

x = 7cm

What are the coordinates of the vertices of the polygon in the graph that are in Quadrant II? A) (4,–2) B) (4,3), (0,5), (0,1) C) (–5,2), (–3,2), (–3,4) D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)

Answers

Answer:

C) (–5,2), (–3,2), (–3,4)

Step-by-step explanation:

A) (4,–2)

B) (4,3), (0,5), (0,1)

C) (–5,2), (–3,2), (–3,4)

D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)

For quadrant two the points are always (-x,y) and x is always negative.

Image shows quadrant places.

C. ) (-5,3), (-3, 2), (-3, 4)

help me plz can somewon help me i am bad at math mostly

Answers

Answer:

Definitely the bottom left

Step-by-step explanation:

The answer is the bottom left

Richard bought a car for $2,500. The value of the car depreciates by 5% each year,
What is the average rate of change in the value of the car during the first 3 years?
Round your answer to the nearest dollar.
-$232
- $116
-$119
- $357

Answers

Step-by-step explanation:

Hello, there!!!

The answer is option D.

I have given solution on the picture.

Hope it helps.....

hello there the answer is d!!

What are the domain, range, and midline of the function f(x)=1/2cos(1/4x)-1?​

Answers

Your function is: [tex]f(x)=\frac{1}{2}\cos \Big( \frac{1}{4x}\Big) -1[/tex]

Domain: $(-\infty, +\infty)-\{ 0 \}$ or $R-\{ 0 \}$

Range: $[-\frac{3}{2}, -\frac{1}{2}]$

Midline: $y=-1$

PLZZ HELPP!! Water is poured from a 1.5 L water bottle into an empty glass until both the glass and the bottle are 3/4 full. What is the volume of the glass?

Answers

Answer:

0.5 L

Step-by-step explanation:

volume of bottle: 1.5 L

amount of water = 1.5 L

volume of glass: x

3/4 full is the same as 0.75 full

vol of water in bottle + vol of water in glass = total vol of water

      0.75(bottle)          +       0.75(glass)          =           1.5

0.75(1.5) + 0.75x = 1.5

0.75x = 0.375

x = 0.5

The correct answer is 0.5L

If 0≤β<2π, find all values of β that satisfy the equation cos(2β)=√3/2

Answers

Answer:

π/12 rad and  23π/12 rad

Step-by-step explanation:

Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.

[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]

Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]

Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°

Converting to radians;

180° = πrad

15° = 15π/180 rad

15° = π/12 rad

345° = 345π/180

345° = 23π/12 rad

The values in radians are  π/12 rad and  23π/12 rad

He’s right^ the dude above me has the right answer

Solve the system of equations 2x - y = 11 and x + 3y = -5

Answers

Answer:

x = 4, y = -3

Step-by-step explanation:

{2x - y = 11

{x + 3y = -5

You can use the substitution method by solving for x in the second equation:

x + 3y = -5

Subtract 3y from both sides:

x = -3y - 5

Now, substitute this value for x into the first equation:

2x - y = 11

2(-3y - 5) - y = 11

Distribute:

-6y - 10 - y = 11

Add 10 to both sides:

-6y - y = 21

Combine like terms:

-7y = 21

Divide both sides by -7:

y = -3

Next, substitute this value for x into the second equation:

x + 3y = -5

x + 3(-3) = -5

Multiply:

x - 9 = -5

Add 9 to both sides:

x = 4

Answer:

(7, 3)

Step-by-step explanation:

2x - y =11                         2x-y =11

-2(x+3y)= (-5)-2              -2x-6y= 10

Then you will cross out the x, and add.

-7y =21 divide 7

y=-21/7 or y=3

Then you plug in the y where the y is and solve

2x-(3) = 11

2x = 14

x=7

         

A certain forest covers an area of 2900 km. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

1425 square kilometer.

Step-by-step explanation:

2900 - 8.5% = 2653.5

2653.5 - 8.5% = 2427.9525

2427.9525 - 8.5% = 2221.5765375

2221.5765375 - 8.5% = 2032.74253181

2032.74253181 - 8.5% = 1859.95941661

1859.95941661 - 8.5% = 1701.8628662

1701.8628662 - 8.5% = 1557.20452257

1557.20452257 - 8.5% =1 424.84213815 ≈ 1425

The guy above is right :)

Help please all questions.

Answers

Answer:

A is A=25

B=10

B is 40

C is A=10

B=6.428

hope i helped you

sorry if it is incorrect

A:
Club A: 10
Club B: 25
B:
month 2
C:
Club A: 10
Club B: 5

PLEASE HELP WILL GIVE BRAINLY!!!!!!!
Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.
A) q= 5/5
B) q= -5/5
C) q= 3/5
D) q= -3/5
E) q= 25/5

Answers

Answer:

q = -5[tex]\sqrt{5}[/tex]

q = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Since there is no constant value. This must be a special case.

So,

(q+5[tex]\sqrt{5}[/tex])(q-5[tex]\sqrt{5}[/tex])

q = -5[tex]\sqrt{5}[/tex]

q = 5[tex]\sqrt{5}[/tex]

Yeah I’m gonna have to agree with that one

can somebody help me with this math problem

Answers

Answer:

D). 137

Step-by-step explanation:

1). 40 % of 50 = 20

  50 + 20 = 70

2). 40 % 70 = 28

  70 + 28 = 98

3). 40 % of 98 = 39.2, basically 39

   98 + 39 = 137

137 is the right answer

Pls make my answer brainiest))))

the answer would be be D 137

a countrys population in 1995 was 206 million. In 1998 it was 210 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million

Answers

Answer:

254 million

Step-by-step explanation:

In a calculator it would to

210 x 1,0194^(10)

hi! the answer would be 254 million! the formula is P = P0e^rt. these letters / numbers represent:

P = total population
P0= starting population
r = % of growth
t = time
e = Eulers number

add the numbers in the problem below to solve, and then round! that’s how you get the correct answer!!

hope this helped!:)

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answers

Step-by-step explanation:

of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answer:

you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.

Step-by-step explanation:

Thanks!

Some lemon, lime, and cherry lollipops are placed in a bowl. Some have a
chocolate center, and some do not. Suppose one of the lollipops is chosen
randomly from all the lollipops in the bowl. According to the table below, if it
is known to be lemon, what is the probability that it HAS a chocolate center?

Answers

Answer:

45%

Step-by-step explanation:

There are 20 lollilops with lemon in total. 9 of them have a chocolate center. 9/20=0.45. To convert it into percentage you would multiply the number by 100. 0.45*100=45

The answer is 45%

Answer: C. 45%

"if it is known to be lemon" means we ignore any other flavor. I recommend covering up the other values, or you could highlight just the lemon column.

We have 9+11 = 20 lemon total. Of this 20 total, only 9 lemons have a chocolate center. So 9/20 = 0.45 = 45% of the lemon candies have a chocolate center.

help me plz i wnt help plz i want help

Answers

Answer:

C)28in

Step-by-step explanation:

To get the area of this face, we will divide it into 3 sections.

Area of the 1st section:

Given:

l=4in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in^2

Area of the 2nd section:

Given:

l=2in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=2in*2in

a=4in^2

Area of the 3rd section:

l=8in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in*2in

a=16in^2

a1+a2+a3=Area of the face

8in^2+4in^2+16in^2=28in^2

Hope this helps ;) ❤❤❤

The answer is c, 28 in. I hope this helps

help me plz i dont get this

Answers

Answer:

56 [tex]in^2[/tex]

Step-by-step explanation:

We can first break this down into 2 smaller rectangles.

1x2x4 rectangle

4x3x4 rectangle.

Then we can find out the area of each, and we get 8+48 = 56.

You also could find this out by subtracting the area that is missing.

Answer:

The volume of the container is 56 in^3

Step-by-step explanation:

To solve, I split this figure vertically at the corner between the two steps. We know that the formula for volume of a container is V= l*w*h. The first, smaller portion of the container has a length of 4, a width of 1, and a height of 2. 4*1*2= 8 in^3

The second, larger portion of this container has a length of 4, (look at the side of the first portion), a width of 3, (4-1=3), and a height of 4. 4*3*4= 48 in^3.

Finally, add together the volumes of the two portions and that is the volume of the whole figure. V= 56 in^3

solve the equation
[tex] {5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105[/tex]

Answers

Answer:

n=2

Step-by-step explanation:

Hello, please consider the following.

[tex]{5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105\\\\5^{n-1}(5^2-5+1)=5^{n-1}(25-5+1)=21*5^{n-1}=105\\\\5^{n-1}=\dfrac{105}{21}=5=5^1\\\\\text{It means that}\\\\n-1=1 <=> n=2[/tex]

Let me know if you need more details.

Thank you

n=2 is the correct answer yes

If you apply the changes below to the absolute value parent function, f(x)=x, what is the equation of the new function? Shift 2 units to the right shift 3 units down

Answers

Answer:

f(x) = Ix - 2I -3

Step-by-step explanation:

f(x) = IxI

f(x) = Ix - 2I -3

The equation is f(x) = | x – 2 | + 3 Then the vertex of the absolute function will be at (2, 3).

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

If you apply the changes below to the absolute value parent function

f(x) = |x|

Then the equation of the new function will be

Shift 2 units to the right, shift 3 units down

f(x) = | x – 2 | + 3

Then the vertex of the absolute function will be at (2, 3).

More about the absolute function link is given below.

https://brainly.com/question/10664936

#SPJ5

Can someone do this?

Answers

Answer :
Do what??
Explain:
Hehehhehehehhehehe
I have something similar and I need help :(

Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 8 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 25 by 64 centimeters. Zach moved the existing sand to the new terrarium.

Answers

Answer:

5cm

Step-by-step explanation:

50cm x 20cm x 8cm = 8000cm^3

25cm x 64cm = 1600cm^2

1600x=8000

x=5cm

X=5cm just do some math and you should be able to figure it out
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