Answer:
A
Step-by-step explanation:
Help!! I need this ASAP
Answer:
x=15
Step-by-step explanation:
Well, you have 2 numbers that sum up to 90 (the angle) so you can first minus the one you know, making your number from 90-30=60. Now all thats left is the 4x=60, which you can do 60/4=15 to get your answer that x=15.
Answer:
x = 15
Step-by-step explanation:
The sum of 30 and 4x = 90, that is
4x + 30 = 90 ← equation to solve
Subtract 30 from both sides
4x = 60 ( divide both sides by 4 )
x = 15
I need to solve for the angle, but I just don't know how to do it! The equation is: Cos A=Sin3A
Can someone explain the formula so I can know how to do it, I will really appreciate it!
9514 1404 393
Answer:
A = 22.5°, 45°, 112.5°, 202.5°, 225°, 292.5°
Step-by-step explanation:
Use the angle reduction formula to reduce this to an expression involving only sine or cosine, then solve the resulting higher-degree polynomial.
sin(3x) = 3sin(x) -4sin³(x)
Using the identity for cosine, we have the radical equation ...
√(1 -sin²(A)) = 3sin(A) -4sin³(A)
Squaring both sides, we have ...
1 - sin²(A) = 9sin²(A) -24 sin⁴(A) +16sin⁶(A)
Letting z = sin²(A), this is the cubic equation ...
1 -z = 9z -24z² +16z³
16z³ -24z² +10z -1 = 0
Solving this by the usual methods, we find its factors to be ...
(2z -1)(8z² -8z +1) = 0
8(2z -1)((z -1/2)² -1/8) = 0 . . . . quadratic in vertex form
Then the roots are ...
z = (1 ±√(1/2))/2, z = 1/2
The angle solutions are ...
A = arcsin(±√z)
Of course, these need to be adjusted to fall in the domain of interest, and checked for extraneous solutions.
For z = 1/2-√(1/8), the angles are ...
A = ±22.5° ⇒ 22.5°, 157.5°, 202.5°, 337.5°
For z = 1/2, the angles are ...
A = ±45° ⇒ 45°, 135°, 225°, 315°
For z = 1/2+√(1/8), the angles are ...
A = ±67.5° ⇒ 67.5°, 112.5°, 247.5°, 292.5°
The angles that are in bold are the actual solutions; the others are extraneous.
_____
All of the above is "the hard way." A much simpler approach is to take advantage of the identity ...
cos(a) -sin(b) = (1/2)·sin(b/2 -a/2 -π/4)·sin(b/2 +a/2 -π/4)
Then you can use the zero product rule to find (for a=A, b=3A) ...
(3A/2 -A/2 -π/4) = nπ ⇒ A = nπ +π/4 ⇒ 45°, 225°
(3A/2 +A/2 -π/4) = nπ ⇒ A = (nπ +π/4) ⇒ 22.5°, 112.5°, 202.5°, 292.5°
_____
Rewriting the equation as a function equal to zero, the solutions are the x-intercepts of the graph. In the attached, the x-axis is set to degrees.
f(A) = cos(A) -sin(3A) = 0
three point one four times eight squared
Answer:
200.96
Step-by-step explanation:
Hope it helps! Good luck with math.
Bill can mow the lawn in 2 hours, and his younger brother Tom can now it in 3 hours. If both brothers mow the lawn together, how many hours will it take them?
Which is more, 24 quarts or 7 gallons?
Answer:
7 gallons is more because if in quarts it would be 28 quarts
How do you get out of D3presion
please help
Answer:
im d3pressed a lot so i just start listening to songs then out of no where i go to watching you-tubers i like
Step-by-step explanation:
i mean like what kind of d3pression is it abt??
if f=(x)=7(x-1)+8, what is the value of f(1)?
Find the distance between each pair of points. Round your answer to the nearest tenth, if
necessary.
(8, -7), (5,1)
A 4.4
B 8.5
C 3.3
D 14.3
Answer:
b. 8.5
Step-by-step explanation:
d=√(5−8)2+(1−(−7))2
d=√(−3)2+(8)2
d=√9+64
d=√73
d=8.544004
the sitting height (from the bottom of the seat to the top of the person's head) of female drivers is normally distributed with a mean of 34 inches and a standard deviation of 1.4 inches as shown below. If a car company designs a vehicle so that the roof is 34 inches from the bottom of the seat, what percentage of women would not fit in the driver's seat? A. 40% B. 50% C. 50.1% D. 60%
Answer:
B; 50%
Step-by-step explanation:
Here, we want to calculate the percentage of women that will not fit in the driver’s seat
We proceed as follows;
We start with calculating the z-score of this;
That would be ;
(x-mean)/SD
in this case;
x = 34 inches
mean = 34 inches
SD = 1.4 inches
Thus, we have that;
(34-34)/1.4 = 0/1.4 = 0
when z-score is 0, we are at the center of the distribution
A z-score of 0 corresponds to exactly 50%
help me solve this problem? algebra I
What is the value of 2^-3?
please answer with one of the options given belown (a,b,c,or d)
Answer:
B. 1/8
Step-by-step explanation:
What is 1% of 440? Can you help
Answer:
1% of 440 is 4.4
Step-by-step explanation:
440 x .01 = 4.4
Jermaine buys T-shirts for $6 each and marks up the price by 45%. How much more does Jermaine charge for each T-shirt sold?
Answer:
$2.7
Step-by-step explanation:
We find the amount that was marked up
Jermaine buys T-shirts for $6 each and marks up the price by 45%.
The marked up amount = 45% × $6
= 45/100 × $6
= $2.7
Therefore, the amount Jermaine charges more for each T-shirt sold is $2.7
1. What is the y intercept ?
2. Write an equation of the line in the graph above
Answer:
1) The y-intercept is -3.
2) An equation would be y = 2x - 3
Please help!!-help-help
Answer:
The scale factor is .5 I hope that this helps :)
Step-by-step explanation:
Simplify 3^6.3.
O A. 3^7
O B. 3^5
O c. 3^6
O D. 9^6
ASSSAPPP!!!!!!!!!!
Answer:
D. [tex]9^{6}[/tex]
Step-by-step explanation:
(3^6)(3)
(3*3)^6
[tex]9^{6}[/tex]
y=1−2x;x=9 can you please help
Answer:
17
Step-by-step explanation:
since you are given that x is 9 all you have to do is plug it in. So 1-2(9) 2 times 9 is 18 so 1-18=17
what is an equation of the line that passes through the point (3, -8) and has a slope -2?
Answer:
y = -2x - 8
Step-by-step explanation:
answer fast pls
which of the following are exterior angles
Answer:
4, 2, 3
Step-by-step explanation:
Well interior angles you can cross out, so 6, 5, and 1 are out of the question, leaving the rest to be exterior angles.
What is the answer please I need emergency help I will mark you as brainlist✨✨✨
Answer:
D
Step-by-step explanation:
The absolute value of -5.8 is 5.8
Determine whether the triangles are similar.
Answer:
No
Step-by-step explanation:
Answer:
Yes or No = No
Simalarity Statement "TNS"
Step-by-step explanation:
J(-9, -2), K(-5, 1), L(1, -4), M(-3, -7)
is this is parallelogram?
Answer:
Yea, I'm pretty sure it is
Step-by-step explanation:
i passed my exam lets gooooooo
Answer:
Step-by-step explanation:
Yesss
6h + (-7.9d) - 16 + 5d - 3.5h =
please help
4
Type the correct answer in each box. Use numerals instead of words,
is transformed to get function w.
The function f(x)
w(a) = -(35) }
4
What are the domain and the range of function w?
domain: 3 >
range:
w(I) <
Reset
Answer:
Domain/ 0
Rang/ -4
Step-by-step explanation:
Answer:
Domain/ 0
Rang/ -4
Step-by-step explanation:
I got a 100% on this test
∆ABC and ∆PQR are congruent under the correspondence: ABC ↔ RQP
then the part of ∆ ABC that correspond to:
Answer:
Please check the explanation.
Step-by-step explanation:
Given
ABC ↔ RQP
so
ΔABC ≅ ΔABC
It means the triangles are congruent.
Please check the attached diagram.
In the diagram,
A ↔ RB ↔ QC ↔ PParts of ΔABC that correspond to
(i) PQ
[tex]PQ[/tex] corresponds to [tex]CB[/tex]
(ii) ∠Q
∠Q corresponds to ∠B
(iii) RP
[tex]RP[/tex] corresponds to [tex]AC[/tex]
Find the missing angle measures
Helppp por favor!!
What is the square root of 75 in simplified form?
Answer:
√75 as 5⋅√3.
Answer: the first one 5√3
Step-by-step explanation:
what is simple interest formula?
what is compound interest formula?
I need help please fast mabey
Answer:
1: 80% is 4/5 of the whole quantity
2: 1/5 is 20% of the whole quantity
3: 50% is 1/2 of the whole quantity
4: 1 is 100% of the whole quantity.
