Answer:
13 and 17
Step-by-step explanation:
Given: cos θ=-4/5, sin x = -12/13, θ is in the third quadrant,
x is in the fourth quadrant; evaluate
tan2θ
A. 24/5
B. 24/7
C.12/13
By definition of tangent,
tan(2θ) = sin(2θ) / cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
where the latter equality follows from the Pythagorean identity, cos²(θ) + sin²(θ) = 1. From this identity we can solve for the unknown value of sin(θ):
sin(θ) = ± √(1 - cos²(θ))
and the sign of sin(θ) is determined by the quadrant in which the angle terminates.
We're given that θ belongs to the third quadrant, for which both sin(θ) and cos(θ) are negative. So if cos(θ) = -4/5, we get
sin(θ) = - √(1 - (-4/5)²) = -3/5
Then
tan(2θ) = sin(2θ) / cos(2θ)
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)
tan(2θ) = 24/7
j - 5 = q
What is J and Q?
Answer:
There might be more to this problem that not included?
Based on the question written, J and Q would be anything that is mathematically supported.
I could a virtually endless combination, that's why I think we may be missing part of the question.
Here are some solutions:
J=11, Q = 6 11-5=6
J=12, Q= 7 12-5=7
J= 7, Q = 2 7-5=2
J = 162, Q = 157 162-5=157
A map of an island is shown on a half-centimetre grid,
where A, B and Care houses.
The actual distance between A and B
is 960 metres.
a) Work out the scale on the map.
A
Give your answer in the form 1:n
+
(2)
b) Work out the actual distance
between A and C in kilometres.
Your final line must say, AC = ... km
c
(4)
Total marks: 6
Answer:
The answer is b.
Step-by-step explanation:
Answer:
a) 1:48000 b)1.6128km
Step-by-step explanation:
a country has a national debt of $6x10^12. if the population of the country is 300 million people, how much will it be for every man, women, and child in the country?
Answer:
$20000
Step-by-step explanation:
6*10^12/ 300 million
Which expression is equivalent to 16x^4 - 64?
(4x^2 - 8)^2
(8x^2 - 32)^2
(4x^2 + 8)(4x^2 - 8)
(8x^2+32)(8x^2-32)
Answer:
3237342324=4234463284324234324-34234327432423423+2343242879485326556252434=7
Step-by-step explanation:
Write an
equation of the cosine function with amplitude 3 and period 81.
Answer:
y = 3cos(81x)
Step-by-step explanation:
Hello!
Here is the foundational equation to find sine and cosine:
y = A sin(B(x + C)) + D
Any cosine function can be written as a sine function. y = A sin(Bx) and y = A cos(Bx). The number, A, in front of sine or cosine changes the height of the graph. The value A (in front of sin or cos) affects the amplitude (height). B is the period by which the width of the wavelengths are measrured. C is known as the phase shift, which is positive to the left on graph. D is the vertical shift of function.
The amplitude changes the heaight of the cosine function by 3 units. The period is indicated as 81 and , but usually we must first use the equation that is the usual given: period = [tex]\frac{2\pi }{|B|}[/tex] . B must always have an absolute sign to have a psotive value. In this case, the period was given to us.
So, the final equation looks like this:
y = 3cos(81x)
Hope this helps!
help me with this plzzzz
Answer:b c
Step-by-step explanation:
did it
if twice a number is decreased by 13, the result is 9, what is the number?? (please make a solution)
Answer:
22
Step-by-step explanation:
2x-13=9
2x-13-9=0
2x-22=0
2x=22
x=11
Work out the perimeter of this semicircle.
Take it to be 3.142 and write down all of the digits given by your calculator.
18 cm give your answer in cm
Answer:
46.278cm
Step-by-step explanation:
(π+2)r
=πr+d
=9π+18=46.278cm
A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 inches and a height of 2 inches. How much wax will the company need to make 270 candles?
Use 3.14 for pie and do not round your answer.
Answer:
[tex] 15,260.4 \: {in}^{3} [/tex]
Step-by-step explanation:
Radius of candle = 3 inches
Height of candle = 2 inches
Wax needed to make one candle = Volume of one cylindrical candle
[tex] =\pi r^2 h[/tex]
[tex] =3.14(3)^2 (2)[/tex]
[tex] =56.52\: in^3 [/tex]
Volume of wax needed to make 270 candles
[tex] = 270 \times wax\: needed \: to\:make \: one \: candle \\ \\ = 270 \times 56.52 \\ \\ = 15,260.4 \: {in}^{3} [/tex]
Find the areas of the sectors formed by ABC
Answer:
33.51 in^2
Step-by-step explanation:
Find the area of the circle:
A = πr^2
A = π * 8^2
A = 64π = 201.06 in^2
Find the area of the 60 deg slice:
A * 60/360 = 33.51 in^2
Leave a thanks and mark brainliest if this helped
Leave a thanks and mark brainliest if this helped
What is the slope of 4x-2y=6
Answer:
slope= -2
Step-by-step explanation:
18. A balloon artist wants to make 6 different
kinds of balloon animals. She needs
4 balloons to make each animal. If the
balloons come in packs of 8, how many
packs will she need to buy?
Answer:
She need 3 packs of balloons
Kianna's aquarium is "box-shaped" with dimensions of 5 ft by 1 ft by 8 in. What is the water capacity of her aquarium in gallons? Consider that 1 ft3 of liquid corresponds to 7.5 gallons of the liquid.
Answer:
volume of aquarium =l×b×h=5×1×8=40ft³
volume of aquarium in gallons=
40ft³×7.5gallons/ft³=300galloons
What is Monique surprised about when Priya arrives?
From the passage given, it can be deduced that the thing that surprised Monique when Priya came was B. Priya is by herself.
From the information given in the passage, it can be deduced that Monique was a cool person who doesn't like noise.
She was alone with her bottle of water when Priya came to her. Normally, Priya was the star of the girl's swim team and always had people around her. On this occasion, she was alone by herself and this surprised Monique.
Learn more about passages on:
https://brainly.com/question/25950911
Answer
Step-by-step explanation:
priya is by herself
Gross income: $408.68
Deductions: $98.98
Net income: $_
Answer: $507.66
Step-by-step explanation:
408.68 + 98.98 = 507.66
How do you find distance if 1/4 inch equals 2 miles and the other location is 3 3/4 inches aprt
Answer:
Step-by-step explanation:
7/4 is not the answer
Find how many 1/4 inches are in 3 3/4 inches:
There are four 1/4 inches per inch.
3 inches x 4 = 12, there are twelve 1/4 inches in 3 inches and there are three 1/4 inches in 3/4 inch.
So there are a total of fifteen 1/4 inches in 3 3/4.
Now multiply the total 1/4 inches by 2 miles.
15 x 2 = 30 miles total.
Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
78, 45, 60, 33, 84

Write the equation in standard form for the circle with center (0,
–
8) and radius 2
19.
Use this link to find your answer
https://lalinks.org/linksweb
Mr. Crowder wants to get a new fit for class. He finds some Gucci glasses on sale for 20% off. If the glasses originally cost $240, what will the sales price be?
A)$192
B)$48
C)$288
D)$220
Answer:
A) 192
Step-by-step explanation:
20% = 0.2
240(0.2) = 48
This means $48 will be taken from the original price so:
240 - 48 = 192
Solve for x and y: x= 5 – 2y 4y = 15 - 2x 0 x = 5, y = 0
Answer:
i think there is no solution
HELP MEEEEEEE PLEASE
Answer:
3 option
Step-by-step explanation:
Answer:
2s
Step-by-step explanation:
Twice means multiplicaiton of 2
So the answer is 2s
3
4. The scale on a map reads inch = 50 miles.
4
If the actual distance between the two cities
is 325 miles, find the distance between the
cities on the map.
A. 4
4 inches
C.
4 inches
4 inches
B. 4.
13
16
inches
D. 43
Evaluate 5/8 × 5/9 Give your answer in its simplest form.
Answer:
[tex] \frac{5}{8} \times \frac{5}{9} \\ = \frac{5 \times 5}{8 \times 9} \\ = \frac{25}{72} \\ = 0.3472[/tex]
Answer:
25 / 72
Step-by-step explanation:
5/8 x 5/9 =
5 x 5 / 8 x 9 =
25/72
can someone help me do 1/3 divided by 4 please?
The answer is
1/12
Explanation:
In order to divide
1/3 by 4
1st: you must find the reciprocal of the
denominator, which is
1/4
2nd: Then you multiply
1/3
by the reciprocal
So
1/3 divided by 4
will now be
1/3 x 1/4= 1/12
40% of the students in a school are boys. lf there are 240 boys, how many student are therein the school?
The median of the set of data with values 10,12,15,16,18,20 is?
The median of the set of data with values 10,12,15,16,18,20 is 15.5.
What is the median?The median is one of the measures of central tendency.
The median is the middle value of a data set.
When the data set is even, the median is found by adding the two middle values and dividing by 2.
Data and Calculations:10,12,15,16,18,20
Total value = 91
Median = 15.5 (15 + 16)/2
Thus, the median of the set of data with values 10,12,15,16,18,20 is 15.5.
Learn more about the median at https://brainly.com/question/26151333
#SPJ1
Find the common difference of the arithmetic sequence -19, -16, -13, ...
Answer:
d= +3
Step-by-step explanation:
1st term = -19
2nd term = -16
d = 2nd - 1st
d= -16-(-19)
d = +3
You roll a number cube. How likely is it that you will roll a number less than 1? less than 7? Explain.
Answer:
There is a zero percent that you will roll a number less than one but a 100% chance of rolling a number less than 7.
Step-by-step explanation:
please help me
Which would be the best method to use to solve the following equations. Explain your reasoning.
Use each method only once.
Methods:
Factoring
Square root Property
Completing the Square
Quadratic Formula
1. 3x^2 - 192 = 0
Method:
Why:
2. x^2-x-6=0
Method:
Why:
3. x^2-6x-7=0
Method:
Why:
4. x^2-17x-7=0
Method:
Why:
Answer:
The values of x are +8 and -8
Step-by-step explanation:
1. The given equation is :
[tex]3x^2 - 192 = 0[/tex]
We need to find the value of x.
It can be done as follows :
[tex]x^2=\dfrac{192}{3}\\\\x^2=64\\\\x=\pm 8[/tex]
So, the values of x are +8 and -8.