Answers
Answer:
70.9,109.1,204.0,336.0
Step-by-step explanation:
The solution set for the equation 6sin² θ - 7 sinθ - 5 = 0 in the interval [0,360)is {θ∈ [0,360)∣θ = 230.48 ,309.521}
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given equation is 6sin² θ - 7 sinθ = 5
Lets arrange in an order
6sin² θ - 7 sinθ - 5 = 0
a=6, b=-7 and c = -5
sinθ = 7±√49+120/12
Simplifying under the square root:
sinθ =7±17/12
Taking the positive solution first
sinθ =24/12
sinθ =2 (Not valid)
Now let's try the negative solution:
sinθ =7-17/12
sinθ =-10/12
sinθ =-5/6
θ= sin⁻¹(-5/6)
θ= −50.48⁰ ,−129.52⁰
we need to restrict our solution to the given interval [0,360), so we add 360 degrees to the negative angle:
θ=360−50.48 = 309.52 and 360 −129.52 =230.48
Therefore, the solution set for the equation 6sin² θ - 7 sinθ - 5 = 0 in the interval [0,360)is {θ∈ [0,360)∣θ = 230.48 ,309.521}
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Related Questions
express each relation as a table and a graph. then state the domain and range.
{(8, 5) , (-6, -9), (2, 5), (0, -8)}
Answers
Answer:
domain: {-6, 0, 2, 8}
range: {-9, -8, 5}
dont forget the braces {,}Step-by-step explanation:
Enter an equation in point-slope form for the line. (6,8) and (7,1) is on the line. The equation of the line in point slope form is:
Answers
Answer:
[tex] y - 8 = -7(x - 6) [/tex] or [tex] y - 1 = -7(x - 7) [/tex]
Step-by-step explanation:
The point-slope form equation is [tex] y - b = m(x - a) [/tex], where,
(a, b) = a point on the line.
[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Given the two points, (6, 8) and (7, 1), find the slope of the line:
[tex] m = \frac{1 - 8}{7 - 6} [/tex]
[tex] m = \frac{-7}{1} [/tex]
[tex] m = -7 [/tex]
There are two possible point-slope equation we can come up with using each points on the line given.
Using the point (6, 8) and m = -7,
Substitute m = -7, a = 6, and b = 8 into [tex] y - b = m(x - a) [/tex]
[tex] y - 8 = -7(x - 6) [/tex]
Using the point (7, 1) and m = -7,
Substitute m = -7, a = 7, and b = 1 into [tex] y - b = m(x - a) [/tex]
[tex] y - 1 = -7(x - 7) [/tex]
Evaluate the expression when a=3 and c = -2. C-5a
Answers
Answer:
-17
Step-by-step explanation:
c - 5a
substitute c for -2
-2 - 5a
substitute a for 3
-2 - 5*a
-2 - 5*3
-2 - 15
-17
Sarah mailed her computer to Store B for repairs. Her bill was:
Initial Repair Cost = $1,350
Sales Tax of 7 percent = $94.50
Total Cost of Computer Repair = $1,444.50
Shipping = 2 percent of Total Cost
Which expression would you use to find the shipping cost?
0.2($1,350)
0.2($1,444.50)
0.02($1,350)
0.02($1,444.50)
Answers
Answer:
0.02 (1444.50)
Step-by-step explanation:
Answer:0.02(1444.50)
Step-by-step:
to figure out the shipping cost we would just multiply the shipping percent by the total cost of the computer. however we cant leave the '2 percent' as it is we would have to multiply it by 100. giving us .02 which we can then use to multiply
#1) **In the xy plane, the graph of which of the following equations has a slope of -2 and goes through the point (3.-5)?
Answers
The equation of the line on the xy-coordinate graph ... is the distance from the center of the base to a point on the circumference of the top of the can?
A box contains orange balls and green balls. The number of green balls is six more than four times the number of orange balls. If there are 86 balls altogether, then how many green balls and how many orange balls are there in the box?
Answers
explain how (-3) x (-3) = 9 using coupons as the real world example
Answers
Answer:
a negative multiplied by a negative is always a positive
Step-by-step explanation:
so, -3 x -3 =9
what is 4.5 x 10 in standard notation
Answers
Answer:
45
Step-by-step explanation:
$9.65 per hour 40 hours and time and a half for 5 hours
Answers
Answer:
im not 100% sure what your asking but i think its you make 9.65 per hour for 40 hours then 5 more hours how much are you making?
Step-by-step explanation:
its 434.25 here is why 9.65x40=386
+5hours 9.65x5=48.25
386+48.25=434.25
Look at the cups shown below (images are not drawn to scale): A cone is shown with width 3 inches and height 6 inches, and a cylinder is shown with width 3 inches and height 5 inches How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth. 18.8 cubic inches 21.2 cubic inches 28.2 cubic inches 49.5 cubic inches
Answers
Answer:
cup B can hold 21.2 cubic in more than cup A when theyre both full, so the answer is cup B.
Step-by-step explanation:
kari estimated the quotient of -12 1/5 divided by 4 2/5 to be -8. Which best describes her error?
Answers
Answer:
She divided wrong
Step-by-step explanation:
During bowling practice, Marley rolled 14 strikes out of 70 attempts.
What percent of Marley’s attempts were strikes? Enter your answer in the box.
Answers
Answer:
20%
Step-by-step explanation:
to find out we make it a fraction:
14/70
then divide
14÷70=0.2
then times it by 100
= 20%
Answer:
20%
Step-by-step explanation:
[tex]\frac{14}{70}[/tex] = [tex]\frac{x}{100}[/tex]
14 x 100 = 1400
1400/ 70 = 20%
Please I need help badly I also have stuff on my account
Answers
Since D is across from 125 on the transversal that should be the answer.
Does anybody know the answer to this math question I’m lost
Answers
Answer:
x-7
Step-by-step explanation:
use the diagram to solve x and y
Answers
Answer:
x = 54°
y = 144°
Step-by-step explanation:
x° + 36° = 90° (complementary angles)
Subtract 36° from each side of the equation
x° = 90 - 36°
x = 54°
y° + 36° = 180° (angles on a straight line/supplementary angles)
Subtract 36° from each side
y° = 180° - 36°
y = 144°
helppp me
plssssssssss
Answers
Answer:
the answer is 94
Step-by-step explanation:
Answer:
Step-by-step explanation:
81^x=3 what are the same bases on both sides of the equation
Answers
81 = 3⁴, so
81ˣ = 3
(3⁴)ˣ = 3
3⁴ˣ = 3¹
which means
4x = 1
x = 1/4
what is the least common deno minator 2/5 and 3/2
Answers
Answer: 10
Step-by-step explanation: The common denominator for these two
fractions is simply the least common multiple for the two denominators.
Since our denominators of 5 and 2 have no factors in common,
our least common denominator is 5 · 2 or 10.
Consider functions f and g
Answers
Answer: B
f(g(x)) = (3x - 1)² + 7(3x - 1) = 9x² + 15x - 6
Step-by-step explanation:
Ariana Grande received $5,000 to perform and made $100 per ticket. If she made $18,500, how many tickets did she sell? (use an equation to solve)
Answers
Answer:
135 tickets
Step-by-step explanation:
18500=5000+100x
13500=100x x=135
what is ─2c – 2 = ─3c – 8 solved for the variable?
Answers
Answer:
c = -6
Step-by-step explanation:
C is your variable
-2c - 2 = -3c - 8
+3c +2
1c = c -8 +2 = -6
c = -6
:)
Add 3c to both sides
-2x+3c-2=-8
Simplify
C-2=-8
Add 2 to both sides
C=-8+2
Simplify
C=-6
What is 79% of 55????
Answers
Answer:
43.45%
Step-by-step explanation:
[15 points] PLEASE HELP!
A university's freshman class has 4800 students. 76% of those students are majoring in Economics. How many students in the freshman class are Economics majors?
Answers
Answer:
the answer is 3648 students
Step-by-step explanation:
solved these easy question.
1+2=
Answers
Which sequences of transformations applied to shape I prove that shape I is similar to shape II? a translation 12 units right and 5 units up, and then a dilation by a scale factor of 2 a reflection across the x-axis and then across the y-axis, and then a dilation by a scale factor of 2 a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2 a reflection across the y-axis, and then a dilation by a scale factor of 2 a reflection across the x-axis, and then a dilation by a scale factor of 2
Answers
Answer:
The answer is b and c
Step-by-step explanation:
Im on edmentum so i can see this picture
Caroline’s cell phone plan costs $32 per month. Which table shows the sum of the amounts that Caroline will pay for her cell phone plan over the next 4 months?
Answers
Answer:
The first month is $32
The second month is $64
The third month is $96
The fourth month is $128
Step-by-step explanation:
32 plus 32 is 64 and 32 plus 64 is 96 so on
Solve the system by the elimination method. Check your work.
x-3y=0
3y-6=2x
(-2,-6)
(-6,-1/2)
(-6,-2)
Answers
Answer:
C, (-6,-2)
Step-by-step explanation:
x - 3y = 0 --(1)
3y - 6 = 2x --(2)
We can rearrange equations 1 and 2:
3y - x = 0 --(3)
3y - 2x = 6 --(4)
Subtract 4 from 3:
(3y-3y) + (-2x+x) = (6-0)
-x = 6
x = -6
Substitute x=-2 into any equation. In this case, I substituted it into equation 1 but the value of y would be the same if you substituted it into a different equations:
x - 3y = 0
-6 = 3y
y = -2
Let's check to see if we are right but substituting the values of x and y into both equations
x - 3y = 0
-6 + (-3*-2) = 0
-6 + 6 = 0
0 = 0 Correct
3y - 6 = 2x
3(-2) - 6 = 2(-6)
-6 - 6 = -12
-12 = -12 Correct
Our answer is correct!
16/20 as a decimal?
Answers
What is the percent of increase from 400,000 to 400,000?
Round your answer to the nearest tenth of a percent and include a percent sign (%).
Answers
Answer:
They are the same number, so there is a 0% increase.
What inequality is represented by this graph?
Answers
X is anything less than 6
The answer would be x<6