trigonometry help- double angle formulae!!!
Answer:
sin(2*36.86989765) and get .96 or 24/25
7/25
Step-by-step explanation:
Start by solving for P
sinP=3/5
take the arcsin or sin^-1 and get
p=36.86989765
Then multiply by 2 and take the sin and get
sin(2*36.86989765) and get .96 or 24/25
Then take cos(2*36.86989765)=.28 or 7/25
Answer:
Steps below
Step-by-step explanation:
sin P = 3/5
cos p = √1 - sin² P = 4/5
sin 2P = 2 * sin P * cos P = 2 * 3/5 * 4/5 = 24/25
cos 2P = cos² P - sin² P = 16/25 - 9/25 = 7/25
What is the reference angle for 192°?
A 22°
B. 68°
C. 12°
D. 78°
The required reference angle of angle 192 is 12. OPtion C is correct.
Given that,
An angle of 192°
Reference angle to be determined.
The angle can be defined as the one line inclined over another line.
Angel over angle is of 360° and angle over line is 180°
The function in mathematics to operate and diagnose the function to make the function simple or more coherent is called simplifying and the process is called simplification.
Since in the question, An angle is given of 192° its corresponding and relatable angle is to be determined.
Here, a standard measure of an angle is 180, So let the reference angle b x, for reference angle the angle must be more or less than 180. So,
x = 192 - 180
x = 12
Thus, the required reference angle of angle 192 is 12. Option C is correct.
Learn more about Angles here:
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help me for brainlist if you dont explain no brainlist
- 2x and 70 are equal, because they are vertical angles.
- 110 and 3x + 5 are equal, becasue they are vertical angles.
- so, the answer would be A.
-- this is because vertical angles are not supplementary so would not be equal to 180°
Please help it due ASAP
Please show workings
Answer:
FC = 27
QC = 18
Step-by-step explanation:
The centroid divides the median in which it stands into a ratio of 1:2
The longer length being twice of the shorter
So in this case, what we have is that ;
FC = FQ + QC
with QC twice FQ
so QC = 2(9) = 18
while;
FC = 18 + 9 = 27
2/3 + _/6 = 1/6
what is the missing numerator
options:
3
5
6
9
look at pic and answer (7th math)
Answer:
It's 28 touchdowns
Step-by-step explanation:
Answer:
28 Touchdowns
Step-by-step explanation:
1/4 of 80 is 20
40% of 80 is 32
20+32=52
80-52=28
Select the correct answer.
Which logarithmic equation is equivalent to this exponential equation?
2,400 = 7,500(10) *
A.
B.
I = log
log (3)
I = -log ()
I = -log (*)
I = log (1)
OC.
D.
Answer:
B.
Step-by-step explanation:
2,400 = 7,500[tex](10)^{x}[/tex]
First of all, you want to isolate the [tex](10)^{x}[/tex] by dividing each side by 7,500.
After doing this, you will get
[tex]\frac{2400}{7500}[/tex] = [tex](10)^{-x}[/tex].
Putting this in the logarithmic form, you get [tex]log_{10}[/tex] [tex]\frac{2400}{7500}[/tex] = - x
To get rid of the negative sign, you would simply multiply both dies of the equation by -1. So you would get [tex]-log_{10} \frac{2400}{7500}[/tex] = x.
When you simplify 2400/7500, you get 8/25, so the answer is B.
Hope this helps!
You can use the definition of logarithm here.
The logarithmic equation that is equivalent to the given exponential function is given by:
Option C: [tex]x = -\rm log(\dfrac{8}{25})[/tex]
Given logarithmic equation is: [tex]2400 = 7500(10)^{-x}[/tex]To find:The equivalent exponential function to given logarithmic equation.
What is the definition of logarithm?
Logarithm is inverse function to exponentiation.
That means:
[tex]e^a = b \implies a = log_e(b)[/tex]
Transforming given equation to exponential form:[tex]2400 = 7500(10)^{-x}\\\\ \dfrac{2400}{7500} = 10^{-x}\\\\ 10^{-x} = \dfrac{8}{25}\\\\ -x = log_{10}(\dfrac{8}{25})\\\\ x = -log_{10}(\dfrac{8}{25})\\\\[/tex]
Since log with base 10 is simply written log, thus,
The logarithmic equation that is equivalent to the given exponential function is given by:
Option C: [tex]x = -\rm log(\dfrac{8}{25})[/tex]
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can someone help me with this question here's the question
Answer:
Subtract 60 - 30
= 30
This could help understand the method I used
Answer:
60-30 is 30,B
Step-by-step explanation:
^explanation
5(9 + a) < 110 what the inequality?
Answer:
Step-by-step explanation:
we will use first the distributive property and multiply
45+ 5a<110
subtract 45 from both sides
5a<110-45
5a<65 we divide by 5
a<13
Carlito bought bottled water and sports drinks to sell at a concession stand. He spent $450 to purchase drinks. Each bottle of water costs $1 and each sports drink costs $2. He bought half as many bottles of water as sports drink. How many bottles of water and how many sports drinks did he buy?
Answer:
Step-by-step explanation
The cost of renting a truck is $40. An additional $0.79 is charged for each mile, m, the truck is driven. Which expression can be used to determine the total cost, in dollars, of renting a truck? (EE.2) *
Answer:
c = 40 + 0.79m
Step-by-step explanation:
The base cost is $40.
So we have:
c = 40
Then, since an additional $0.79 is charged for every mile driven, we add:
+ 0.79m
So then our equation is:
c = 40 + 0.79m
where c = total cost
and m = number of miles driven
Find the value of x that makes A || B.
1
2
4
3
5
22 = 2x + 10 and 24 = 4x + 80
x= [?]
Enter
Answer:
the answer is 15 I just took the assessment
I have no idea how to do this. I found the answer but now I have to explain it.
Answer:
You have 3 + 2 + 2 which is the same as 7 on the other side.
Step-by-step explanation:
3 + 2 + 2 is 7
Answer:
x=2
Step-by-step explanation:
3+x+x=7
2x=4
x=2
Joseph biked 8 miles north and stopped at Patsy's Peach Farm. He then then traveled west and stopped at a gas station to get air for his tire. From there he rode directly home, diagonally, which was exactly 11 miles? How many miles is the peach farm from the gas station? Rounded to the nearest tenth of a mile and use appropriate units.
Answer:
[tex]\sqrt{57}[/tex] or 7.54983
Step-by-step explanation:
What is the value of x?
u figure out the height by doing the square root of 95.2 - the square root of 34
then u take that # and you do square root of 168 - the square root of the height and that will give u yk
then u add yk +34 and that is x
If the area of a rectangle with length (4x) is 4x2 + 12x, find the width.
Answer:
The width of a rectangle is: w = x+3
Step-by-step explanation:
Given
The length of rectangle = l = 4x
The area of rectangle = A = 4x² + 12x
To determine
The width of rectangle = w = ?
We know that the formula of the area of the rectangle is
[tex]A = wl[/tex]
substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle
4x² + 12x = w×4x
w = [4x² + 12x] / [4x]
Factor 4x² + 12x: 4x(x+3)
w = [ 4x(x+3) ] / [4x]
w = x+3
Therefore, the width of a rectangle is: w = x+3
Robin invests $3,210 in an account that is compounded annually and pays
an interest of 3.4% each year. By what factor is the investment
increasing every year?
Answer:
the factor is an increasing value of 17/332 or the power of pointed answers of interest of 3.4% which makes it aroujd 2 but doesnt matter because its the factor and not issued investment
Step-by-step explanation:
if 1 is a root of the equation
[tex]5x^{2} +kx - 3 = 0 [/tex]
find the other root
Step-by-step explanation:
5x² + kx - 3 = 0 has a root x = 1.
=> 5(1)² + (1)k - 3 = 0
=> 5 + k - 3 = 0
=> k = -2.
Therefore we have 5x² - 2x - 3 = 0.
=> (x - 1)(5x + 3) = 0
=> x = 1 or x = -3/5.
Hence the other root is -3/5.
Please help! I don’t have much to offer except the crown icon thing and 15 points.
x/9>12
x>12×9
x>108
This is your answer
Solve for y.
6 = 2(y + 2)
y =
Answer: y = 1
Step-by-step explanation: Lets solve for y, step by step!
6 = 2(y + 2)
6 = ( 2 x y + 2 x 2)
6 = 2y + 4
2y + 4 = 6
2y + 4 - 4 = 6 - 4
2y = 2
y = 1
97.94 is 83% of what number?
Answer:
97.94 is 83% of 118
Step-by-step explanation:
Let the missing number be x
97.94=83% of x
I.e, 97.94=83/100 × x
97.94=83x/100
Cross multipy 97.94/1=83x/100
We have, 97.94 × 100 = 83x × 1
9794=83x
Divide both sides by 83 to make x the subject of the formula.
9794/83=83x/83
118=x
Use the distributive property to write an expression7(3a+11b)
Helpppp
Answer:
21a+77b
Step-by-step explanation:
7x3=21
7x11=77
Simplify the rational expression:
4a²-36/24-8a
(__/2)
Answer:
- (a + 3) / 2Step-by-step explanation:
(4a² - 36)/(24 - 8a) =4( a² - 9) /8(3 - a) =( a² - 9) /2(3 - a) =(a + 3)(a - 3)/2(3 - a) =- (a + 3) (3 - a)/2(3 - a) =- (a + 3) / 2Is this correct???????
Answer:
i think its either that or (-5,-5)
Find the number. Round to the nearest tenth if necessary.
What percent of 65 is 13?
Answer:
Step-by-step explanation:
for these type of problems:
65/100=0.65 this represents 1%
13/0.65=20
20% of 65 is 13
A jug is filled with 1 litre of orange juice. Four 200ml glasses are poured from the jug. How much orange juice is left in the jug?
Answer:
Step-by-step explanation:
As given that
Volume of jug=1 liter=1000ml
also volume of one glass=200ml
and we poured out 4 glasses so total volume of 4 glasses will be,
4 glasses volume = 4*200ml =800ml
Hence the volume of orange left in jug =1000ml-800ml =200mlStep-by-step explanation:
ml to litres = divide by 1000
200/1000 = 0.2×4= 0.8ml
HAAALPPPPP PLZZZ I'm stuck on this question
Answer:
$28
Step-by-step explanation:
9 tho cars is $14 and 9x2 is 18 so you would do 14x2 which is 28
Written as a simplified polynomial in standard form, what is the result when ( x + 2 ) 2 (x+2) 2 is subtracted from 7 x − 4 7x−4?
Answer:
-x²+3x-8
Step-by-step explanation:
Given polynomials are :
f(x) = (x+2)²
p(x) = 7x−4
We need to find a simplified polynomial when f(x) is subtracted from p(x) i.e.
p(x) - f(x) = 7x−4 - (x+2)²
We know that, (a+b)² = a²+b²+2ab
So,
p(x) - f(x) = 7x−4 -(x²+2²+2(x)(2))
= 7x−4 -(x²+4+4x)
= 7x−4-x²-4-4x
= -x²+3x-8
Hence, the result will be -x²+3x-8.
x - 2 = -3x +2
what's x?
Answer:
x+3x=2+2
4x=4
x=1
Answer:
x = 1
Step-by-step explanation:
x - 2 = -3x + 2
you can do any one of these 4 steps first and still get the same answer:
a) subtract x from each side
b) add 2 to each side
c) add 3x to each side
d) subtract 2 from each side
after doing one of the above you will have a two-step equation and must undo addition or subtraction before undoing multiplication or division
(2, -4), (x, y) , A , and B all lie on the line. Find an equation relating x and y.
Answer:
An equation relating x and y is:
y = 3/4x - 5.5
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(2, -4), (x, y), A(6, -1), and B(10, 2)
Taking any two points let say A(6, -1), and B(10, 2) to determine the slope
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:2\right)[/tex]
[tex]m=\frac{2-\left(-1\right)}{10-6}[/tex]
Refine
[tex]m=\frac{3}{4}[/tex]
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = -5.5
Thus, the y-intercept b = -5.5
Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation
y = mx+b
y = 3/4x + (-5.5)
y = 3/4x - 5.5
Therefore, an equation relating x and y is:
y = 3/4x - 5.5
Answer:
no
Step-by-step explanation:
yes
