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Rule:
if A+B = 90, then cos(A) = sin(B) and sin(A) = cos(B)
This can be rephrased into cos(A) = sin(90-A) and sin(A) = cos(90-A)
We'll focus on the second case sin(A) = cos(90-A)
Simply replace A with x and we have the same idea.
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So,
sin(x) = cos(90-x)
cos(90-x) = sin(x)
cos(90-x) = 4/5
You can prove this by drawing out a right triangle as shown below.
Sara was choosing songs for her "Birthday Dance Party" shuffle tonight. She wanted to choose: 3 of her 8 Beyonce songs, 4 of her 12 Justin Timberlake songs, 2 of her 5 Drake songs, and finish it off with either Micheal Jackson or the Beatle's version of Happy Birthday. How many different ways can she make her Birthday song mix?
Answer:
554400
Step-by-step explanation:
To answer this question, we use combination as we are just interested in selection rather Than arrangement.
Beyonce songs ; 3 from 8 = 8C3
Justin ; 4 from 12 = 12C4
Drake ; 2 from 5 = 5C2
Version of happy birthday = 1 from 2 = 2C1
Recall :
nCr = n! ÷ (n-r)!r!
However, the answers can also be obtained using a calculator :
8C3 * 12C4 * 5C2 * 2C1 = 554400 different mix
Please help me solve my problem!!!
Answer:
FH is the smallest angle since it is lesser than all the other ones.
Find (-3/7) / (-1 1/14).
45/98
2/5
2 1/2
-2/5
Answer:
option B . [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex](-\frac{3}{7}) \div (-\frac{15}{14}) = (-\frac{3}{7}) \times (-\frac{14}{15}) = \frac{3 \times 14}{7 \times 15} = \frac{2}{5}[/tex]
Answer:
2/5
Step-by-step explanation:
(-3/7) / (-1 1/14) = 0.4
0.4 = 4/10
simplified = 2/5
I hope this helps uwu.
Figure A is a scale image of Figure B.
What is the value of x?
NO LINK. OR I WILL REPORT YOU.
Answer:
4.4
Step-by-step explanation:
x / 4 = 11 / 10
x = ( 4 x 11 ) / 10
= 44 / 10
x = 4.4
Answer:
5
Step-by-step explanation:
To measure scale factors, you have to measure how much units apart each triangle is, and apply the same length to x on figure A.
Here is the equation I used:
10-4=6
11-6=5
Both triangles are 6 units in difference.
Round the following values to 2 significant figures 0.0653
Answer:
The answer is 0.065
Step-by-step explanation:
0 doesn't count if it's before a start of a number when rounding to a significant figure
Solve for x. Assume that lines which appear tangent are tangent. x=
Answer:
this is a long shot( like rly long) but try either -6 or -3
Step-by-step explanation:
Don't co.e for me if I'm wrong im just a poor girl in year 8
2. Select all the irrational numbers. *
A. 6pi
B. - square root of 49
C. -1.405
_
D. -0.3
E. e
F. square root of 2
Answer:
F.
Step-by-step explanation:
Please answer thanks! Brainliest
Step-by-step explanation:
The last two answers is correct
Answer:
4
Step-by-step explanation:
The answer to T - H is negative
Justins rice ball recipe uses 100 grams of rice to make 1 rice ball. Justin has 700 grams of rice. How many rice bals can juctin make with 700 grams of rics?
Answer:Justin can make 7 rice balls with 700 grams of rice
Step-by-step explanation:
IF 100 grams of rice can make 1 rice ball.
Therefore, 700 grams of rice can make 700grams x 1 rice ball/ 100 grams
=7 rice balls
Therefore Justin can make 7 rice balls with 700grams of rice
Can someone help me?It's urgent and thank you!
Answer:
575.71
Step-by-step explanation:
Year 1: 960 x .88 (100%-12%)=844.80
Year 2: 844.80 x .88 =743.424
Year 3: 743.424x.88=654.21
Year 4: 654.21 x .88=575.71
f(x) = x^2. What is g(x)?
Answer:
Step-by-step explanation:
The standard form of the quadratic we need is
[tex]y=a(x-h)^2+k[/tex] where we have everything we need but a. That's what we will solve for.
x and y come from the coordinate given on the red graph:
x = 2 and y = 1
h and k come from the coordinates of the vertex:
(0, 0). Fill all that in and solve for a:
[tex]1=a(2-0)^2+0[/tex] and
1 = 4a so
a = 1/4 That makes our equation
[tex]y=\frac{1}{4}(x-0)^2+0[/tex] or simplified:
[tex]y=\frac{1}{4}x^2[/tex], choice B.
Solve the system of equations -3x - 3y =18 and -4x - y = 0
Answer:
Point Form:
(2,−8)
Equation Form:
x=2 , y=−8
Step-by-step explanation:
Answer:
x=2
y=-8
Step-by-step explanation:
you could calculate it by rearranging and manipulating the equations, but this time I graphed it with desmos as two lines with an intersection
make x the subject of the formula
y=a√x
Answer:
y=a√x
y/a=a√x/a a will cancel out on the right side of the equation
therefore, √x=y/a
x=√y/x
Calculate the area of a circle with a radius of 16.9 centimeters.
a. about 224.32 cm2
c. about 106.19 cm2
b. about 212.37 cm2
d. about 897.27 cm2
Answer:
I'd say 897.27cm². That's the vlosest answer that I see.
Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.
Answer:
I still think you equations are wrong...
4000/4000 not 400/400
Step-by-step explanation:
2000 A+ 6000B=520
4000A+4000B =480
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2000 A+ 6000B=520
-2000A - 2000B =-240
4000B = 280
B=7%
A=5%
Helpppp meh, 50 points and u better answer correctly!!
Answer:
yessir
Step-by-step explanation:
gimme brainliest i think its C
i want 2 equivalent fractions for 25/90 and for 106/300
Answer:
25/90 there is 150/270 and 5/18
for 106/300 there is 53/150 and 212/600
Answer:
for 25/90 divide by 5 to get 5/18. For 106/30 divide both by 2 to get 53/150.
Cho ∆ABC;phân giác AD,BE,CF cắt nhau tại I . a, Góc IAC+góc IBC+ góc ICA=? b, Kẻ IH vuông góc với BC . C/m Góc BIH=góc CID
how do I even solve this??
CAN SOMEONE PLEASE HELP ME!!!! I NEED HELP BAD
There are x boys playing in the park. The number of girls in the park in equal to the square root of the number of boys. If the total number of boys and girls playing in the park is 42, find the number of boys
Molly starts riding her bike to school 20 minutes after her brother Jonas
does. Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour.
How much time will it take for Molly to catch up to Jonas?
Answer:
It will take Molly 1 hour to catch up to Jonas.
Step-by-step explanation:
Since Molly starts riding her bike to school 20 minutes after her brother Jonas does, and Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour, to determine how much time will it take for Molly to catch up to Jonas the following calculation has to be done:
Jonas = 9 miles per 60 minutes = 3 miles per 20 minutes
Molly = 12 miles for 60 minutes
Jonas = 3 miles + 9 = 12
Molly = 12
Therefore, it will take Molly 1 hour to catch up to Jonas.
if f(x) =4x²+1 and g(x) =x²-5, find (f-g)(x)
Answer:
(f-g)(x)=4x^2+1-x^2+5
=3x^2+6
=3(x^2+2)
9. Estimate the solution to the system
of equations by graphing. Write the
solution.
y=4-X
x + 3y = 5
( , )
1 + 4.25n + 3/2p – 3 + (–2p) + 5/4n simplify
A. 5.5n – 1/2p – 2
B. 9.5n + 1.5p – 2
C. 9/4n − 1.5p − 4
D. 3.75n – p + 1
[tex]\longrightarrow{\green{A.\:5.5 \: n - \frac{1}{2} \: p - 2}}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]1 + 4.25 \: n + \frac{3}{2} \: p - 3 + ( - 2 \: p) + \frac{5}{4} \: n [/tex]
Combining like terms, we have
[tex] = 4.25 \: n + \frac{5}{4} \: n + \frac{3}{2} \: p - 2 \: p + 1 - 3 \\ \\= 4.25 \: n + 1.25 \: n + 1.5 \: p - 2 \: p - 2 \\\\ = 5.5 \: n - 0.5 \: p - 2 \\ \\ = 5.5 \: n - \frac{1}{2} \: p - 2[/tex]
[tex]{\huge{\boxed{\sf{\pink{Mystique35}}}}}[/tex]
Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).
A)
y = x2 – 5x – 30
B)
y = 5x2+ 5x – 30
C)
y = –5x2 + 5x + 30
D)
y = 5x2 – 5x – 30
It's the letter B y=-5x2+5x+30.
please help me solve this..
Answer:
5
Step-by-step explanation:
Let a = number of pieces of chocolate bought by Amin.
Let b = number of pieces of chocolate bought by Bob.
b = 2a
(a - 3)(b - 3) = 14
ab - 3a - 3b + 9 = 14
a(2a) - 3a - 3(2a) = 5
2a^2 - 3a - 6a = 5
2a^2 - 9a - 5 = 0
(2a + 1)(a - 5) = 0
2a + 1 = 0 or a - 5 = 0
a = -1/2 or a = 5
Amin cannot have bought -1/2 pieces of chocolate, so we discard the soluion a = -1/2.
a = 5
Answer: 5
the ratio of blue to yellow paint when mixed to make green paint is 3:2 what percentage of the green paint is made from yellow paint
Answer:
40%
Step-by-step explanation:
3 + 2 = 5
Since 2 is the ratio of yellow paint, 2/5 x 100 = 40%
Hope this helped!
I need help with this trig question
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Work Shown:
Apply the cosine ratio to find the adjacent side AB
cos(angle) = adjacent/hypotenuse
cos(B) = AB/BC
cos(62) = AB/12
12*cos(62) = AB
AB = 12*cos(62)
AB = 5.6336587534307
AB = 5.6 cm
Make sure your calculator is in degree mode.
6 + {1 + [−(3 + 5) − 8] + 2} + 10 pleasee!!!
[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]
Final Answer: 13Step By Step Explanation:
Calculate: Calculate the sumCalculate: Calculate the sum or differenceRemove the parentheses: When there is a + in front of an expression in parentheses, the expression remains the sameCalculate: Calculate the sum or difference☆彡Hanna