Answers
Answer:
lowest common multiple of 4 and 4 is 4
To verify those for alpha and beta, simply substitute the known values:
sin 30° = cos 60° = 1/2
sin 60° = cos 30° = √3/2
cos 90° = sin 0° = 0
sin -30° = -1/2
sin 120° = √3/2
a.
cos 90° = cos 30° cos 60° - sin 30° sin 60°
0 = √3/2 * 1/2 - 1/2 * √3 / 2 = √3/4 - √3/4 = 0
verified
b.
sin -30° = sin 30° cos 60° - cos 30° sin 60°
-1/2 = 1/2 * 1/2 - √3/2 * √3/2 = 1/4 - 3/4 = -2/4 = -1/2
verified
c.
sin 120° = 2 sin 60° cos 60°
√3/2 = 2 * √3/2 * 1/2 = √3/2
verified
Related Questions
Jay has written 24 songs to date. He writes an average
of 6 songs per vear. Jenna started writing songs this
year and expects to write about 12 songs per year.
How many years from now will Jenna have written
as many songs as Jay Write and graph a system of
equations to find your answer.
Answers
Step-by-step explanation:
I'm sorry could you maybe send more information so I could help you
rewrite 12/12 as a whole number
Answers
9514 1404 393
Answer:
1
Step-by-step explanation:
Any (non-zero) number divided by itself is 1.
_____
This is a fact that has many uses in problem solving and units conversion.
A particular type of fuel tank produced for a particular car model is designed to hold 30
liters. However, the actual capacity of a randomly chosen tank of this type is normally
distributed with mean 30 liters and standard deviation 0.5 liters. Suppose that of the cars
of the above model, 50 percent run 14.5km per liter, 30 percent run 14km per liter and 20
percent run 13.5km per liter under test condition.
i. If you buy a car of the above model, what is the probability that your car will run
more than 420km under test conditions, when tank is filled once?
ii. If a randomly selected car of the above model runs maximum distance of 420km
under test conditions, when the tank is filled once, what is the probability that this
car runs 14.5km per liter?
Answers
Answer:
23
Step-by-step explanation:
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1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples are yellow.
Answers
Answer:
?
Step-by-step explanation:
You can’t know that, because you don’t know how many total apples there are.
Math expert please simplify this I am confuse thanks you
Answers
Answer:
11
Step-by-step explanation:
39 - 6 / 3
= (39 - 6) / 3
= 33 / 3
= 11
Answer:
a-2
Step-by-step explanation:
(3a-6)/3 You can factor the numerator to 3(a-2) so you have
[tex]\frac{3(a-2)}{3}[/tex]
simply divide by the 3->
a-2
Find Y if f(x)=g(x),please help me to answer this problem.
Answers
If f(x) = g(x)
Then :
(x-4)/(x²+1) = (x² - 4) / (x²+ 1)
We can simplify on both sides by x² + 1 :
x - 4 = x² - 4
x = x²
x - x² = 0
x(1-x) = 0
So either x = 0, or x = 1
S = {0,1}
Good Luck
Answer:
Step-by-step explanation:
( x , y )
( 0 , - 4 )
( 1 , - 1.5 )
[tex]y_{1}[/tex] = - 4
[tex]y_{2}[/tex] = - 1.5
Complete the table of values for this equation: y = 3x +10 Enter your answer by filling in the boxes. x y 4 5 6
Answers
x=4,5,6
x=4
[tex]\\ \sf\longmapsto y=3(4)+10[/tex]
[tex]\\ \sf\longmapsto y=12+10=22[/tex]
x=5
[tex]\\ \sf\longmapsto y=3(5)+10=15+10=25[/tex]
x=6
[tex]\\ \sf\longmapsto y=3(6)+10=18+10=28[/tex]
Step-by-step explanation:
y = 3x + 10
x = 4, 5, 6Soo :
y = 3(4) + 10 = 12 + 10 = 22
y = 3(5) + 10 = 15 + 10 = 25
y = 3(6) + 10 = 18 + 10 = 28
Write an integer to represent each situation
1. walking to the track 6 feet ______
2. digging 10 holes a day _____
3. writing 5 papers ______
Find the absolute value
1. /-3/3 2. /+3/3 3. /-2/
4. /-6/ 5. /+9/ 6. /-15/
7. /=32/ 8. /+32/ 9. /-47/
10. /+78/
Answers
Answer:
1. 6 2. 10 3. 5
for others see below
Step-by-step explanation:
1. 6 feet
2. 10 holes
3. 5 papers
1./-3/3=3*3=9
2. /3/3=3*3=9
3./-2/=2
4./-6/=6
5./9/=9
6. /-15/=15
7. /-32/=32
8. /32/=32
9. /-47/=47
10. /78/=78
P= $43,024, r= 0.0875 ? Per day , t= 90 days
Answers
Answer:
How many minutes in total did Mason spend practicing and studying? ... P= $43,024, r= 0.0875 ? Per day , t= 90 days.
Step-by-step explanation:
Kenny has 8 red shirts, 12 blue shirts, and 10 white shirts in his closet. What is the probability that he would get a white shirt out of the closet?
Answers
Answer:
1/3 or 33.33 %
Step-by-step explanation:
this is because there is 30 shirts and all and 10 white. 10/30 is 1/3, or 33.33%
Answer:
likely
If there are 8 red shirts, 12 blue shirts, and 10 white shirts. The answer would be likely
Find the equation of the line
Answers
Which expressions have a value that is greater than 1?
Answers
Answer:
Im not sure about A but other then that B and D have greater values then one
Step-by-step explanation:
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{A}\qquad \cfrac{3^{-2}}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{\cfrac{3^3}{1}}\implies \cfrac{1}{3^3\cdot 3^2}\implies \cfrac{1}{3^5}\implies \cfrac{1}{243}\qquad \textit{\large \checkmark}[/tex]
[tex]\boxed{B}\qquad \cfrac{5^3}{5^2}\implies 5^3\cdot 5^{-2}\implies 5^{3-2}\implies 5^1\implies 5\qquad \bigotimes \\\\\\ \boxed{C}\qquad 9^0\implies 1\qquad \bigotimes \\\\\\ \boxed{D}\qquad \cfrac{(2^3)^2}{2^2}\implies \cfrac{2^{3\cdot 2}}{2^2}\implies \cfrac{2^6}{2^2}\implies 2^6\cdot 2^{-2}\implies 2^4\implies 16\qquad \textit{\large \checkmark} \\\\\\ \boxed{E}\qquad \cfrac{2^3}{2^8}\implies 2^3\cdot 2^{-8}\implies 2^{3-8}\implies 2^{-5}\implies \cfrac{1}{2^5}\implies \cfrac{1}{32}\qquad \bigotimes[/tex]
9. Machine Trades Find the width X of the V-thread shown. (Round to the
nearest thousandth.)
Answers
Step-by-step explanation:
gjr jrijtigjtitrg rkgtrigjkjgkfrijr l
What is the area of a rectangle with a length of 88 inches and width of 56 inches
Answers
Answer: 4928
Step-by-step explanation:
Area= LxW
88 x 56= 4928
A man is walking at 7km/hr. How long will he take to cover a distance of 42km?
Answers
[tex] \: \: \: \: \: \: [/tex]
1.75hrsStep-by-step explanation:
it would take 1.75 hrs to cover a distance of 7 kilometres by walking 4 kilometres per hourspeed= Distance/Time
= 4/1 = 4Time Distance/Speed
= 7/4 =1.75hrs.hope it helps[tex] \: \: \: \: \: \: [/tex]
solve the following pair of equations graphically and verify them: 3x+y=7 x≃2y please help me
Answers
Answer:
(2, 1)
Step-by-step explanation:
graph 3x+y=7 and x=2y
make both slope intercept form for easier graphing
y=-3x+7
2y=x, y=1/2x
(2, 1)
check
3*2+1=7
6+1=7
7=7
1=1/2*2
1=1
Solve the equation for y. 5x+2Y=9
Answers
Answer:
y = 9/2 - 5/2(x)
Step-by-step explanation:
I think this is right
A plane is pointed S 15° E, with indicated speed 500 mph. It flies through a wind
blowing N 20° E at 55 mph. Find the resultant speed and direction of the plane.
Answers
Answer:
N 2.4 ∘ W or Bearing 357.6 ∘
672.2x km/hr
Step-by-step explanation:
calculate the length AB
Answers
Check the picture below.
1/2(-4+6x)=1/3x+2/3(x+9)
Answers
Answer:
X=4
Step-by-step explanation:
1. Simplify the expression
2. Multiply the fractions:
3. Break up the fraction:
4. Find the greatest common factor of the numerator and denominator:
5. Factor out and cancel the greatest common factor:
6. Simplify the fraction:
7. Multiply the fractions:
8.Solve by distributing:
9. Simplify the arithmetic:
10.Break up the fraction:
11. Find the greatest common factor of the numerator and denominator:
12. Factor out and cancel the greatest common factor:
13.Combine the fractions:
14. Combine the numerators
15. Find the greatest common factor of the numerator and denominator:
16. Factor out and cancel the greatest common factor:
17. Simplify the right side:
Select the Ordered Pair which is a solution to the linear graph.
(8, 6)
(−8,−6)
(−8, 6)
Review the linear graph.
Answers
Answer:
point B (8, 6)
Step-by-step explanation:
Given the linear graph of a vertical line, x = 8:
The solution to the given linear equation is any ordered pair that is found along the line of the graph.
Out of the given options, point B, (8, 6) is located on the line. Therefore, it is one of the solutions to the linear equation, x = 8.
Help me answer 1c, thank you!
Answers
Answer:
bilmiyom bu kadar cevap
STRUCTURE Tell whether the triangles are similar.
Answers
Answer:
If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.
Have a nice day and I hope this helps!
Brooklyn has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $20 per hour to work at the grocery store and $21 per hour to work at the nursery. How many total hours does she work if she does 5 hours at the grocery store and 11 hours at the nursery? How many total hours does she work if she does gg hours at the grocery store and nn hours at the nursery?
Answers
Answer:
~$331 - *16 hours
Step-by-step explanation:
~ $20x5=$100
~ $21x11=$231
~ $231+$100=$331
* 5+11=16
From his eye, which stands 1.62 meters above the ground, Amadou measures the
angle of elevation to the top of a prominent skyscraper to be 44°. If he is standing at a
horizontal distance of 164 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
Answers
The height of the skyscraper rounded to the nearest tenth of a meter is
160.0 meters.
The situation will form a right angle triangle.
The angle of elevation is 44 degrees. The horizontal distance of 164
meters from the base of the skyscraper is the adjacent side of the triangle.
Part of the height of the skyscraper is the opposite side of the triangle formed .
Using trigonometric ratio,
tan 44° = opposite / adjacent
tan 44° = h / 164
cross multiply
h = 164 × tan 44°
h = 158.372959068
Recall the angle of elevation was form from his eyes above the ground of
1.62 meters.
Therefore, the height of the skyscraper can be calculated below:
height of the skyscraper = 158.372959068 + 1.62 = 159.992959068
height of the skyscraper ≈ 160.0 meters
learn more: https://brainly.com/question/23910946?referrer=searchResults
M<1=m<5 true or false
Answers
Answer:
True
Step-by-step explanation:
Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5
30 POINTS WILL MARK BRANLIEST FOR FIRST REPLY
find x using the pictures below
Answers
The left pic :
[tex]x = 46 \times \cos(70°) [/tex]
[tex]x = 46 \times 0.342[/tex]
[tex]x = 15.732[/tex]
_____________________________________________
The right pic :
[tex] \tan(18°) = \frac{15}{x} \\ [/tex]
[tex]0.325 = \frac{15}{x} \\ [/tex]
Thus :
[tex]x = \frac{15}{0.325} \\ [/tex]
[tex]x = 46.1538[/tex]
There u go ...
Have a great day ❤
What is the sum of the two expressions? (3/7x+4)+(1/7x-2)
Answers
Combine the like terms:
3/7x + 1/7x = 4/7x
4 + -2 = 4-2 = 2
Answer: 4/7x + 2
Solve for r.
4r–3r=20
r=
Answers
Answer:
20
Step-by-step explanation:
4r - 3r = 20
r = 20
There you go.
Answer:
r = 20
Step-by-step explanation:
Let's solve your equation step-by-step.
4r − 3r = 20
Step 1: Simplify both sides of the equation.
4r − 3r =20
4r + −3r =20
(4r + −3r) =20 (Combine Like Terms)
r = 20
Hope this helps
8.
Identify the point corresponding to Q.
A. Q′ (−4, 1)
B. Q′ (−1, −4)
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Answers
Answer:
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first