Answers
9514 1404 393
Answer:
(√17 -4√595)/102
Step-by-step explanation:
To use the sine of the angle sum formula, we need to know the sine and cosine of each of the angles.
sin(sin^-1(1/6)) = 1/6 . . . . a first-quadrant angle
cos(sin^-1(1/6)) = √(1 -(1/6)²) = √(35/36) = (√35)/6
sin(tan^-1(-4)) = -4/√(1+(-4)²) = -4/√17 . . . . a 4th-quadrant angle
cos(tan^-1(-4)) = √(1 -(-4/√17)²) = 1/√17
The sum of angles formula is ...
sin(α+β) = sin(α)cos(β) +cos(α)sin(β)
So, our sine is ...
[tex]\sin\left(\sin^{-1}\left(\dfrac{1}{6}\right)+\tan^{-1}(-4)\right)=\dfrac{1}{6}\cdot\dfrac{1}{\sqrt{17}}+\dfrac{\sqrt{35}}{6}\cdot\dfrac{-4}{\sqrt{17}}\\\\=\dfrac{1-4\sqrt{35}}{6\sqrt{17}}=\boxed{\dfrac{\sqrt{17}-4\sqrt{595}}{102}}[/tex]
Related Questions
Help please! Ill give branliest :)
Answers
Answer:
425 grams divided by 28.3 = 1 ounce is about 15 ounces
Step-by-step explanation:
Since there are 425 grams in total and 28.3 GRAMS = 1 OUNCE that means. Every 28.3 grams in the total of 425 grams are ounces so we divide it by the 28.3 in order to find the ounces since every 28.3 grams are ounces!
Answer:
...............15 .................
Answer: HURRY I need it quick and will give Brainliest Which value of x satisfies the equation StartFraction 12 over StartRoot x plus 2 EndRoot EndFraction plus 8 equals 10?
Answers
Answer:
D
Step-by-step explanation:
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
Use the sketching tool to help explain if you'd like.
The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.
Answers
Answer:
Step-by-step explanation:
The last statement is false.
∠BAF and ∠EAB are supplementary angles.
8 + 6/2 + 1/4?? In a fraction form! Needs help now.
Answers
Answer:
11 1/4 or 45/4
Practice solving roblems involving the volume or
cylinders, cones, and spheres.
Ant
What is the volume of the sphere in terms of r?
V=
IT in 3
6 in
Done
Answers
Answer:
V = 4.187r³
Step-by-step explanation:
Volume of a sphere is expressed using the formula;
V = 4/3πr³
r is the radius
Substitute π = 3.14 into the formula
V = 4/3 * 3.14r³
V = 4.187r³
Hence the volume of a sphere in terms of the radius is V = 4.187r³
Helppp me quick !!!!!!!!!!!!!!!!!!
Answers
Answer:
Look at explanation
Step-by-step explanation:
For a) It is TRUE
For b) it is TRUE
For c) it is FALSE
Hope this helps!! :)
Answer:
okay, the answer to this question is listed below;
for a it says that half pupils choose maths.
And as you can see the results in the circle that it is true.
for the question c it says most pupils choose science that PE, as you can see the the circle that PE is a little more than science, so this Answer is false
What is the value of x?
A) Impossible to determine
B)62°
C)56°
D)76°
Answers
Which graph represents an odd function?
please hurry its timed
Answers
Considering it's definition, an odd function is represented by the second function given.
What defines an odd function?An odd function is defined by the following rule:
f(x) = -f(x).
This means that for example:
If f(1) = -1, then f(-1) = 1.If f(2) = 0, then f(-2) = 0.If f(3) = 5, then f(-3) = -5.The only graph for which this relation is valid in this problem is the second graph, from which all examples off the numeric values were taken, hence an odd function is represented by the second function given.
More can be learned about odd functions at https://brainly.com/question/2284364
#SPJ1
plelalslwlwlwe helpppppppp!!!
Answers
Answer:
c
Step-by-step explanation:
Answer:
The answer is B [4.5x + 15]
Step-by-step
The triangle is an equilateral, so you can use the same formula on each side.
1.5x x 3 = 4.5x
5 x 3 = 15
Hey guys I need help but i need it Step by step it asks me if john has $3.05 and he pays $1.18 how much does he have left but i know he's left over with $1.87 but i need step by step problem
Answers
john has $3.05 he subtracts $1.18 and is left over with $1.87
first john subtracts the 8 from the five but he cant do that so he takes from the 3 and makes it a 2 he then moves over that ten that he had taken away from the 3 and places it at the 0. Now john needs to move over the 10 on the 0 to the 5 so he can subtract the 8 from the 5. John moves one ten from the nine that had replaced the 0 and gave it to the 5. that 5 is now a 15 because you've added ten to it. John now subtracts the 8 from the 15 to get 7 . next john subracts the 9 from the 1 in the tens place to get 8. Now john subracts the 1 from the 2 in the hundereds place to get a total sum of $1.87.
or
3.05
-1.18
---------
1.87
An angle measures 10° more than the measure of its complementary angle. What is the
measure of each angle?
Answers
Answer:
50 and 40
Step-by-step explanation:
Complimentary angles must add up to equal 90 degrees. Therefore, you must find two numbers that add to 90 and have a difference of 10. Try different number values until this is true. One must be 50 and the other 40 degrees.
Which mixed number is equivalent to 38 divided by 7
Answers
7 goes into 38 3 times resulting in 35 with 3 left over
The mixed number equivalent to 38 divided by 7 is 5 3/7.
To find the mixed number equivalent to 38 divided by 7,
we need to divide 38 by 7 and express the result as a mixed number.
=38 ÷ 7
= 5 remainder 3
Or 7 | 38 | 5
35
______
3
So, the quotient is 5 and the remainder is 3.
So, the mixed number equivalent to 38 divided by 7 is 5 3/7.
Learn more about Mixed Fraction here:
https://brainly.com/question/29019463
#SPJ6
On a biology test, a student got 25 questions correct but did not pass. On a second attempt, the student got 33 questions correct. What was the percent increase?
Answers
Answer: 32%
Step-by-step explanation:
The percentage increase will be gotten by using the formula:
= Increase in score / Former score × 100
= (33 - 25) / 25 × 100
= 8/25 × 100
= 8 × 4
= 32%
The percentage increase is 32%.
O2) Work out 30% of £5.80.
Answers
Answer:
1.74
Step-by-step explanation:
Multiply 5.80 times .30
Answer:
1.74
Step-by-step explanation:
To solve this, lets multiply the value by the percentage.
Our value is 5.8
And our percentage is 30%.
Lets convert this into a decimal, to do this, divide 30 by 100:
30/100
=
0.3
Now that we have the percentage in decimal form, multiply it by the 5.8:
5.8*0.3
=
1.74
This is your answer!
Hope this helps! :)
what is 8/3x-x+5/3=13/6-2/3x
Answers
Answer:
Step-by-step explanation:
The graph of a line has a slope of 3 and passes through the point (-4,-5).
What is the equation of the line in point-slope form?
Answers
Answer:
3x - y + 7 = 0
Step-by-step explanation:
The given point is , ( -4 , -5) and the slope is 3. The point slope form is ,
=> y - y₁ = m( x - x₁)
=> y - (-5) = 3 { x - (-4) }
=> y +5 = 3( x + 4 )
=> y + 5 = 3x + 12
=> 3x - y + 12 - 5 = 0
=> 3x - y +7 = 0
Hence the equation of the line is 3x - y + 7 = 0 .pweeze help Use the following net to find the surface area of the solid figure it represents.
144 yd 2
48 yd 2
88 yd 2
94 yd 2
Answers
Answer:
The correct answer is 48
Step-by-step explanation:
A factory produced 150 tons
Answers
Answer:
Nice
Step-by-step explanation:
but tons of wut'
in a class of students, the following data table summarizes how many students play an instrument or squirt. What is the probability that a student who plays this for also plays an instrument?
Answers
Answer:
Step-by-step explanation:
What's a squirt? Did you mean sport for the word for?
So there are 15 separate students in all who play a sport and an instrument. There are 4 more that play an instrument, but not a sport.
There are 8 that that do not play an instrument including 2 that don't do either.
So the total is 15 + 4 + 8 = 27
My best guess is that 15 out of 27
P(sport and instrument) = 15 /27 = 5/9 or 0.556
Solve for x.
x+14
15x - 74
x = [?]
Enter
Answers
Answer:
###########
Step-by-step explanation:
Answer:
Solution given:
x+14=5x-74[corresponding angle]
74+14=5x-x
x=88/4
x=22
Pls need help Giving brainlest to the right anwser!!!
Answers
Answer:
1/6 or 3p = 1/2
Step-by-step explanation:
1/2 = 3p is the equation
So we need to divide 1/2 by 3 in order to get p
1/2/3 = 1/6
1/6 is p
3p = 1/2
La cantidad de automóviles que pasaron por hora por una estación de peaje en una muestra de 8 hs es
Muestra 1: 95 98 102 105 120 130 150 200
Si en la muestra 2 el número medio de autos es 130 con una varianza de 625, calcular las medidas necesarias e indicar qué muestra es más homogénea.
necesito saber como hacerlo
Answers
Answer:
198
Step-by-step explanation:
Solve the equation for exact solutions over the interval [0, 2π).
Answers
Answer:
[tex]\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]-2\cos^2(x)=-\cos(x)-1[/tex]
Over the interval [0, 2π).
First, notice that this is in quadratic form. So, to make things simpler, we can let u = cos(x). Substitute:
[tex]-2u^2=-u-1[/tex]
Rearrange:
[tex]2u^2-u-1=0[/tex]
Factor:
[tex](2u+1)(u-1)=0[/tex]
Zero Product Property:
[tex]2u+1=0\text{ or } u-1=0[/tex]
Solve for each case:
[tex]\displaystyle u=-\frac{1}{2}\text{ or } u=1[/tex]
Back-substitute:
[tex]\displaystyle \cos(x)=-\frac{1}{2}\text{ or } \cos(x)=1[/tex]
Using the unit circle:
[tex]\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}[/tex]
What is the probability of getting 5 baskets ina row out of 10 shots
Answers
What is the graph of the solution for y+10>12?
Answers
Answer:
Your answer is B.
Step-by-step explanation:
If the ratio football players two basketball players at your school is 7:5 then how many basketball players are there if they are 21 football players
Answers
Answer:
I think that there are 15 basketball players.
Step-by-step explanation:
If there is a ratio of football to basketball players of 7:5, and there are 21 football players. i just divide 21 by 7 and get 3. so if we multiply the 5 in the ratio by 3 we get 15. so I think the answer is 15. if not then ignore my answer. if so the brainliest please?
Is it possible for a triangle to have a 54 degree angle and a 126 degree angle? Explain why or why not.
Answers
Answer:
No
Step-by-step explanation:
Those are only 2 angles and they already equal 180, Every single triangle has a sum of 180 and if you already hit 180 with only 2 out of the 3 points, it's not possible
Answer:
No
Step-by-step explanation:
No, because the 3 angles of a triangle have to add up to 180 degrees. The given 2 angles already add up to 180 degrees leaving no room for the missing angle.
Question
25 x 19292929292292929929.
Good Luck | (41 Points)
Answers
Answer:
4.82323232E20
Answer:
482,323,232,307,323,248,225
Suppose a school survey showed that 5 out of 38 students had tried vaping. What percent of these students have tried vaping? Round your answer to the nearest whole percent.
Answers
Answer:
13.157894736842% or 13.2% or 13%
Step-by-step explanation:
me with math: (┬┬﹏┬┬)
What's the output of a system modeled by the function ƒ(x) = x5 – x4 + 9 at x = 2?
Answers
Answer:
f(x)=x5-x4+9
if x=2,. f(2)= 2⁵-2⁴+9
=32-16+9
=16+9
f(2) =25