The cosine of one acute angle of a right triangle is 817.
What is the sine of the other acute angle?
Answers
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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Related Questions
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
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!
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!
whats the answer to
2.4=-t/45
Answers
45*(-t)/45=2.4*45
-t=108
t=-108
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 perpendicularYZ (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)In one year a dog’s weight increased from 64 to 80. By what percentage did the dogs weight increase?
Answers
So then you will have your percentage to the dogs weight increase
Alyssa has 9 bracelets and 11 necklaces.What is the ratio of bracelets to necklaces.
Answers
Answer:
bracelets : necklaces
9 : 11
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
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:
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 ♥
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]
can I get help with this problem
Answers
Answer:
-2
Step-by-step explanation:
plug in -1
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 = 0.2m²
= 2 x [tex]10^{-1}[/tex]m²
To learn more about scienfic notation, please check: https://brainly.com/question/25334755
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.
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
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.
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
:)
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
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.
The tree diagram represents an
experiment consisting of two trials.
Answers
Please help giving crown
Answers
Answer:
16.76 ft³
----------------------------------------------------------------------------------------------------------
SolveSet 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.
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.
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...!!!
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
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
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:
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 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:
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