The cosine of one acute angle of a right triangle is 817.


What is the sine of the other acute angle?

Answers

Answer 1

The sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a cosine of one acute angle of a right triangle is 8/17.

Let's suppose the angle is α

[tex]\rm Cos\alpha = \frac{8}{17}[/tex]

As we know the cos is the ratio of adjacent to hypotenuse and Sin is the ratio of the opposite to hypotenuse.

Let's suppose the length of the hypotenuse is x units

From the Pythagoras theorem:

[tex]\rm 17^2=x^2+8^2[/tex]

x = 15 units

Now the Sin ratio:

[tex]\rm Sin\alpha = \frac{15}{17}[/tex]

Thus, the sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.

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The Cosine Of One Acute Angle Of A Right Triangle Is 817. What Is The Sine Of The Other Acute Angle?

Related Questions

Which expression is equivalent to 3(2x+4y)-y? Show your work

A. 17xy
B. 6x+12
C. 3(6xy)-y
D. 6(x+2y)-y

Answers

Answer:

D. 6(x+2y)-y

Step-by-step explanation:

Both expressions can be simplified into 6x + 11y

3(2x+4y)-y
6x + 12y - y
6x + 11y

6(x+2y)-y
6x + 12y - y
6x + 11y

Answer:

D. 6(x+2y)-y

Step-by-step explanation:

To solve for the equivilent expression, begin by simplifying the given expression. (1) To simplify 3(2x+4y)-y, you can first multiply 3 into the parentheses then combine like terms; (6x+12y)-y or 6x + 12y - y --> 6x + 11y. (2) Solve to find which expression listed will yield the same product, 6x + 11y, when simplified as well. This is quiet straightfoward to see and you wont be needing to solve each individual problem. 6(x+2y)-y will simplify to 6x + 12y - y which is then equal to --> 6x + 11y. Meaning, D. 6(x+2y)-y is equvillent to 3(2x+4y)-y.

whats the answer to
2.4=-t/45

Answers

Multiply both sides by 45
45*(-t)/45=2.4*45
-t=108
t=-108

:)
25 point math problem


Answers

Answer:

B

Step-by-step explanation:

Inverse is opposite. So, domain becomes range and range becomes domain

x<2 of domain becomes y<2 for range

y>0 of range becomes x>0 of domain

PLEASE HELP WILL MARK BRAINLIST
The line y = 3x +2 is dilated by a scale factor of 2 centered at the origin. Which equation represents the image of the line after the dilation?
y=6x+4
y=2x+2
y=3x+9
y=3x+4

Answers

Answer:

y=6x+4

Step-by-step explanation:

Please Help! Locks in an hour! Will give brainlest!

Answers

Answer:

1/4

Step-by-step explanation:

Amplitude is equal the A part of the function which is 1/4.

In one year a dog’s weight increased from 64 to 80. By what percentage did the dogs weight increase?

Answers

80 divided by 64 then add % to ur answer
So then you will have your percentage to the dogs weight increase

its 8th grade math i did not pay attention

Answers

Answer:

a = 11

Step-by-step explanation:

Using the Pythagorean Theorem:

[tex] {a}^{2} + {26.4}^{2} = {28.6}^{2} [/tex]

[tex] {a}^{2} + 696.96 = 817.96[/tex]

[tex] {a}^{2} = 121[/tex]

[tex]a = 11[/tex]

Find the volume of the composite solid .

Answers

Answer:

366 cm^3

Step-by-step explanation:

V = lwh

1st rectangle (L) = 3 x 6 x 15 = 270 cm^3

2nd rectangle (R) = 6 x 4 x 4 = 96 cm^3

270 + 96 = 366 cm^3

Hope this helps

How many classes are there in the frequency distribution table that has 50 raw data?

Answers

Answer:

A frequency distribution is a table that shows “classes” or “intervals” of data entries with a count of the number of entries in each class.

Step-by-step explanation:

hope this helps you a little!

Colorado is roughly shaped like a rectangle. The state is about 6.12 x 105 m long and 4.5 x 105 m wide. Wyoming has an area of about 2.6 x 1011 m2. What is the estimated difference of area between the two states? Write your answer using scientific notation. Show your work.

Answers

The estimated difference of the area of Colorado and Wyoming in scienfic notation is  2 x [tex]10^{-1}[/tex]m².

What is the difference in the area of the states?

Scienfic notation is used in expressing large numbers in smaller numbers. In order to write a number in stscienfic notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

Area of Colorado = (6.12 x [tex]10^{5}[/tex]) x (4.5 x [tex]10^{5}[/tex]) = 27.54 x [tex]10^{10}[/tex]

= 2.8 x [tex]10^{11}[/tex]m²

Difference in the areas = 2.8 x [tex]10^{11}[/tex]m² - 2.6 x x [tex]10^{11}[/tex]m² = 0.2

= 2 x [tex]10^{-1}[/tex]m²

To learn more about scienfic notation, please check: https://brainly.com/question/25334755

Alyssa has 9 bracelets and 11 necklaces.What is the ratio of bracelets to necklaces.

Answers

Answer:

bracelets : necklaces

9 : 11  

                 

   

can I get help with this problem

Answers

Answer:

-2

Step-by-step explanation:

plug in -1

A class of 30 students must elect a representative to go to a local
conference. They must also elect one alternate representative, in case the
first representative becomes ill or unable to go at the last minute.
How many different ways can the class elect a representative and
a
alternate?

Answers

Answer:

870.

Step-by-step explanation:

There are 30 choices of representatives. This leaves 29 choices for alternate representatives.

If one person gets elected for representative, there are 29 choices for an alternate representative.

This is the case if any of the 30 students get elected as representatives.

That means you can set it up as:

x*y where x is the choice of representatives and y is the choice of alternate representatives.

30 * 29, or 870.

Here is a visual example. Students a - dd are shown here.

a b c d e f g h i j k l m n o p q r s t u v w x y z aa bb cc dd

In this case, a has been chosen as class president. Any of the other 29 students could be a alternate, and then paired with a. This makes 29 total possible pairings. This is then repeated for the possibility of every student becoming a president, which creates 30*29.

Please tell me if this is wrong, I will try to make changes!

A bag contains 7 purple marbles, 12 red marbles, 3 blue marbles and 3 yellow marbles.
One marble is selected from the bag, replaced, and then a second marble is selected.
Find the Probability:

P(red then blue)

Answers

3/24 (actually you have 25 marbles but we took 24 marbles since 1 has already been taken and then replaced , which means that it's not put back in the bag)

3/24 = 1/8

hope it helps...!!!

solve for the missing side round to the nearest 10th (look at image)

Answers

Answer:

14.3

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2   where a and b are the legs and c is the hypotenuse

14^2 + 3^2 = c^2

196 + 9 = c^2

205 = c^2

Take the square root of each side

sqrt(205) = sqrt(c^2)

14.31782106 = c

Rounding to the nearest tenth

14.3 = c

Answer :

14.3 yd

Explanation :

This is Right Angled Triangle.

Solution :

We'll solve this using the Pythagorean Theorem.

where,

XY (3 yd) is the perpendicular

YZ (14 yd) is the Base.

XZ is the Hypotenuse.

We know that,

[tex]{\longrightarrow \pmb{\mathbb {\qquad (XZ) {}^{2} = (XY) {}^{2} +( YZ) {}^{2} }}} \\ \\ [/tex]

Now, we will substitute the given values in the formula :

[tex]{\longrightarrow \sf{\pmb {\qquad (XZ) {}^{2} = (3) {}^{2} +( 14) {}^{2} }}} \\ \\ [/tex]

We know that, (3)² = 9 and (14)² = 196. So,

[tex]{\longrightarrow \sf{\pmb {\qquad (XZ) {}^{2} = 9 +196 }}} \\ \\ [/tex]

Now, adding 9 and 196 we get :

[tex]{\longrightarrow \sf{\pmb {\qquad (XZ) {}^{2} = 205 }}} \\ \\ [/tex]

Now, we'll take the square root of both sides to remove the square from XZ :

[tex]{\longrightarrow \sf{\pmb {\qquad \sqrt{(XZ) {}^{2}} = \sqrt{205 }}}} \\ \\ [/tex]

When we take the square root of (XZ)² , it becomes XZ,

[tex]{\longrightarrow \sf{\pmb {\qquad XZ = \sqrt{205 }}}} \\ \\ [/tex]

We know that, square root of 205 is 14.317 (approx) .

[tex]{\longrightarrow { \mathbb{\pmb {\qquad XZ }}}} \approx \pmb{\mathfrak{14.317 } }\\ \\ [/tex]

So,

The measure of the missing side (XZ) is 14.3 (Rounded to nearest tenth)

The tree diagram represents an
experiment consisting of two trials.

Answers

I think answer i based on the gram so maybe another method

Consider the trinomial 9x2 21x 10. what value is placed on top of the x? what value is placed on the bottom of the x? what is the factored form of 9x2 21x 10?

Answers

The factored form of the given quadratic equation is (3x+5)(3x+2).

The given quadratic equation is:

[tex]9x^{2} +21x+10[/tex]

What is a quadratic equation?

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].

Splitting the middle term of the given quadratic equation:

[tex]9x^{2} +15x+6x+10[/tex]

[tex]3x(3x+5)+2(3x+5)[/tex]

[tex](3x+5)(3x+2)[/tex]

So this is the factored form of the given quadratic equation.

Hence, the factored form of the given quadratic equation is (3x+5)(3x+2).

To get more about quadratic equations visit:

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Answer:

picture of answer.

Step-by-step explanation:

Brian is participating in a hotdog eating contest. There are 145 hotdogs on his plate and he will have 8 minutes to eat as many as he can. If he eats 12 hotdogs per minute, how many hotdogs will he have left over?

Answers

Answer:

49

Step-by-step explanation:

12 hotdogs per min × 8 minutes = 96

145-96= 49

So he will have 49 hotdogs left.

Which expression is equivalent to startfraction c squared minus 4 over c 3 endfraction divided by startfraction c 2 over 3 (c squared minus 9) endfraction? startfraction c 3 over c squared minus 4 endfraction times startfraction c 2 over 3 (c squared minus 9) endfraction startfraction c squared minus 4 over c 3 endfraction divided by startfraction 3 (c squared minus 9) over c 2 endfraction startfraction c squared minus 4 over c 3 endfraction times startfraction 3 (c squared minus 9) over c 2 endfraction startfraction c squared minus 4 over c 3 endfraction times startfraction c 2 over 3 (c squared minus 9) endfraction

Answers

The options have not been given but three correct alternatives have been presented as the solution.

We have given,

[tex]\frac{c^2-4}{c+3} /\frac{c+2}{3(c^2-9)}[/tex]

Applying the rule a^2-b^2 to the numerator of the first term and the denominator of the second term,

What is the rule of a^2-b^2?

[tex](a^2-b^2)=(a-b)(a+b)[/tex]

By applying the above formula we have:

[tex]=\frac{c^2-2^2}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]

[tex]=\frac{(c-2)(c+2)}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]

Therefore the solution is,

[tex]=(c-2) \times 3(c-3)\\\\=3(c^2-5c+6)\\\\=3c^2-15c+18[/tex]

To learn more about the expression visit:

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Answer:

C.) StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction"/>

Step-by-step explanation:

Which expression is equivalent to StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction c + 2 Over 3 (c squared minus 9) EndFraction?

StartFraction c + 3 Over c squared minus 4 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction

StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction 3 (c squared minus 9) Over c + 2 EndFraction

StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction

StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction

Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. Which number could represent the depth at which the emerald is located?

Answers

Answer:

Negative 1 and three-fifths meters

Which dog pens have the same perimeter?

Answers

Answer:

Problem 4: Dog pens 2 and 3

Problem 5: Dog Pens 1 and 2

Problem 6: 6cm and 6cm

problem 7: A

Step-by-step explanation:

In a computer game whenever you shoot a dragon you get 12 points, but when you miss then you lose 4 points. After 100 shots you have 224 points. How many times have you hit a dragon

Answers

Answer:

39

Step-by-step explanation:

Let h: hit

Let n: not hit

1) We can create two equations and solve them simultaneously using the substitution method or elimination.

h + n = 100

12h - 4n = 224

2) Solve them. I will demonstrate using the substitution method.

n = 100 - h

-----------------------

12h - 4(100 - h) = 224

12h - 400 + 4h = 224

16h = 224 + 400

16h = 624

h = 624/16

h = 39

3) Substitute the result into one of the equations above.

n = 100 - 39

n = 61

Since the question wants you to write the number of times the dragon was hit, the answer is 39.

Find the area

15 in

10 in

Answers

Answer:

The area of the figure is 385.5 in²

Step-by-step explanation:

The area of the figure = area of hemisphere + area of rectangle

Radius of hemisphere = 10/2 = 5 in

=> 3πr² + length × breadth

=> { 3×(3.14) × 5 × 5} + { 15 × 10 }

=> { 9.42 × 25 } + { 150 }

=> 235.5 + 150

=> 385.5 in²

Molique is taking a road trip every time he stops for gas he records the number of miles he has driven and the number of gallons of gasoline his car has used the number of miles Millie drives is proportional to the number of gallons of gasoline his car uses how fill in the missing values in the table

Answers

Based on the fact that the distance driven is proportional to the gallons used, the missing figure is 8 gallons.

Why is 8 gallons the missing figure?

The question is incomplete so I will use a similar question to explain the concept.

If the number of miles driven is proportional to the number of gallons used then you can find the number of miles driven per gallon as:

= Number of miles driven / Number of gallons used

= 112 / 4

= 28 miles per gallon

You can also use other entries in the table to get the same answer:

= 280 / 10 gallons

= 28 miles per gallon

If 224 miles have been driven, the number of gallons used would therefore be:

= Number of miles driven / Miles per gallon

= 224 / 28

= 8 gallons

Find out more on proportionality rules at https://brainly.com/question/870035.

done for you. 70 77 75 73 Tree Heights 65 70 74 64 75 79 68 86 77 61 79 75 2. Complete the histogram for the data. 1. Complete the frequency table. Use an interval of 5. Tree Heights Heights (in.) Frequency 60–64 Tree Heights 8 2 65-69 2 70-74 4 Frequency 75–79 7 2 80-84 O 85-89 1 757873 50 Answer the questions below. The first one is done for you. 178 ,73,7 755.752 3. What is the range of the tree heights? 25 4. What is the median of the tree heights? B 5. What is the mean of the tree heights? 6. Where did you need to look to answer Exercises 3-5? 7. The nursery wants a sign that tells what trees are available for sale by height. What measure of center would you use for the sign? 8. In the space below, make a sign for the trees for sale at the nursery.​

Answers

Answer:

dont anwer it

Step-by-step explanation:

its realy harder than mine

Find m < RQP

A) 70°
B) 55°
C) 80°
D) 90°

Answers

Answer:

The answer is 70

Step-by-step explanation:

This is an inscribed angle, and acording to the inscribed angle therom, the ? is 1/2 the measure of it ark.

So divide the ark measure (140 degrees) by 2

and you get 70 as your answer

Hope this helps!! (ɔ◔‿◔)ɔ ♥

What are the solutions to log subscript 6 baseline (x squared 8) = 1 log subscript 6 baseline (x)

Answers

The antilog provides the solution to the logarithmic equation. Then x has values of 2 and 4.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The logarithmic equation is given below.

[tex]\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)= \log _66x\\[/tex]

Take antilog, then we have

[tex]\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}[/tex]

Then the value of the x is 2 and 4.

More about the factorization link is given below.

https://brainly.com/question/6810544

The difference between three times an angle's measure and its complement is 46. Find the measure of the angle

Answers

Answer:

Step-by-step explanation:

Equation

Let the angles measure = x

Let the complimentary angle = 90 - x

3x - (90 - x) = 46                      Remove the brackets

Solution

3x - 90 + x = 56                       Combine like terms on the left

4x - 90 = 56                             Add 90 to both sides

4x - 90 +90 = 56 + 90             Combine

4x = 146                                    Divide by 4

4x/4 = 146/4        

x = 36.5

Answer

The given angle is 36.5

Please help giving crown

Answers

Answer:

16.76 ft³

----------------------------------------------------------------------------------------------------------

Solve

Set up the system of equations for volume. We'll use V for volume, and h for height.

[tex]V = \pi r^2 \frac{h}{3}[/tex]

Now, turn the equations into a multiplication problem, use 2 for radius, and 4 for height.

[tex]\pi * 2 * \frac{4}{3}[/tex]

Next, calculate.

[tex]\pi *2^2 = 12.5663706144...\\\frac{4}{3} = 1.3333333...\\\\12.566 * 1.333 = 16.75048(rough~estimate)[/tex]

----------------------------------------------------------------------------------------------------------

Questions?

Ask in comments.

3. Beatrice graphed point F on the coordinate grid. She will
graph point Fat a location 3 units away from point L?
Which ordered pair could represent the location of point F?
B (3,1)
A (-2,0)
C (-4,1)
D (-2,2)
I WILL MARK BRAINLIEST

Answers

Your answer is (3,1)

Yw and pls mark me brainiest

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