Given:
The given expression is:
[tex]\dfrac{3\sin a-4\sin 4a}{\sin 5a}[/tex]
To find:
The value of the given expression at [tex]a=-45[/tex].
Solution:
We have,
[tex]\dfrac{3\sin a-4\sin 4a}{\sin 5a}[/tex]
Substituting [tex]a=-45[/tex], we get
[tex]\dfrac{3\sin (-45)-4\sin [4(-45)]}{\sin [5(-45)]}[/tex]
[tex]=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (225)}[/tex]
[tex]=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (180+45)}[/tex]
[tex]=\dfrac{-3\sin (45)+4\sin (180)}{\sin (45)}[/tex]
On substituting [tex]\sin (180)[/tex], we get,
[tex]=\dfrac{-3\sin (45)+4(0)}{\sin (45)}[/tex]
[tex]=\dfrac{-3\sin (45)+0}{\sin (45)}[/tex]
[tex]=\dfrac{-3\sin (45)}{\sin (45)}[/tex]
[tex]=-3[/tex]
Therefore, the value of the given expression at [tex]a=-45[/tex] is [tex]-3[/tex].
PLEASE HELP FOR THIS QUESTION
Answer:
3 my guy
Step-by-step explanation:
Calculate the area of the shape.
Answer: 38.46
Step-by-step explanation:
Answer: C or option 3
Step-by-step explanation:
A teacher asked four of her students to write an expression for the problem below. All products in a store are being discounted by 25 % . Let x be the original price of a product in the store. What is the sale price of that product in the store? Their responses are show below: Joseph: 0.75 x Thomas: 1.25 x Sandra: x − 0.25 x Angela: x + 0.25 x Whose response is correct
Answer:
she iduno
Step-by-step explanation:
What is the value of x in inches ?
Answer:
it really depends on what the question is.
Step-by-step explanation:
Please help me with question
Answer:
Yes, you are right.
Step-by-step explanation:
RS = 20
UT = 20
UT also = x + 10
x = 20 - 10
x = 10
So, yes, you are right.
Hope that helps!
You made two deposits to your bank account this month. One deposit was $17.92, and the second deposit was $15.33. Your balance at the end of the month is $72.31, and you made no withdrawals. Write and evaluate an expression for your balance at the beginning of the month.
$72.31 + ($17.92 – $15.33); $74.90
$72.31 – $17.92 – $15.33; $39.06
$72.31 – ($17.92 – $15.33); $69.72
$72.31 + $17.92 + $15.33; $105.56
2nd one........................................................................................................................................
I need help ASAP!!!!
Answer:
9 + 6 = 15
Hopes this helps
UwU
Juan invested $7,700 in an account paying an interest rate of 5 1/8 % compounded continuously. Hudson invested $7,700 in an account paying an interest rate of 5 1/4 % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Juan's money to double than for Hudson's money to double?
Answer:0.29
Step-by-step explanation:
Write each of the following as a function of theta.
1.) sin(pi/4 - theta) 2.) tan(theta+30°)
Step-by-step explanation:
Let x represent theta.
[tex] \sin( \frac{\pi}{4} - x ) [/tex]
Using the angle addition trig formula,
[tex] \sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y) [/tex]
[tex] \sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x) [/tex]
[tex]( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x) [/tex]
Multiply one side at a time
Replace theta with x , the answer is
[tex] \frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2} [/tex]
2. Convert 30 degrees into radian
[tex] \frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6} [/tex]
Using tangent formula,
[tex] \tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) } [/tex]
[tex] \frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) } [/tex]
Tan if pi/6 is sqr root of 3/3
[tex] \frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) } [/tex]
Since my phone about to die if you later simplify that,
you'll get
[tex] \frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) } [/tex]
Replace theta with X.
which expression is equivalent to -6 (-2/3 + 2x)
FIRST ONE TO GET IT RIGHT GETS BRAINLEIST
Answer:
use symbolab
Step-by-step explanation:
it works
Write the following standard form equation in slope intercept form.
Answer:
y=-3/2x+9
Step-by-step explanation:
Answer:
y = 9 - [tex]\frac{3}{2}[/tex] x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
6x + 4y = 36 ( subtract 6x from both sides )
4y = - 6x + 36 ( divide all terms by 4 )
y = - [tex]\frac{3}{2}[/tex] x + 9
or
y = 9 - [tex]\frac{3}{2}[/tex] x
The diagram shows a square ABDE and an isosceles triangle BCD.
Angle C = 40°
Work out the size of angle EBC.
Answer:
Show us the picture ijoejdjoemwpoe
Find the length of the indicated
side of the similar figure.
x = [?]
Enter the number that belongs in the green box.
Answer:
25
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
trust
Select the expression equivalent to (-2x + 8.1y) - (-9x + 5.3y).
Answer:
It's D! I did the test
Step-by-step explanation:
The table shows a function. Is the function linear or nonlinear?
Answer:
nonlinear
Step-by-step explanation:
Hey There!
A linear function would have a straight line when graphed meaning that it would have a constant slope
This is a nonlinear function because y is not moving at a constant rate with x
16-8=8
8-2=6
It went down 8 then it went down 6
therefore it is a nonlinear function
Simplify the expression.
(–5)3
A. 25
B. –125
C. 125
D. –15
B and C are out because those numbers are too high. A is out for 2 reasons. 1) 5x5 is 25, not 5x3 and 2) a negative times a positive is negative.
So the answer is D
---
hope it helps
To simplify the expression (-5)^3, we need to evaluate the exponent, which means multiplying the base (-5) by itself three times. The correct option is B. -125.
(-5)^3 = (-5) * (-5) * (-5)
Multiplying the negative numbers gives:
(-5) * (-5) * (-5) = 25 * (-5) = -125
Therefore, the simplified expression is -125.
So, when we simplify the expression (-5)^3.The correct option is B. -125.
To know more about expression:
https://brainly.com/question/34132400
#SPJ2
The circumference for a round pool that has a diameter of 16 feet would be?
Answer:
50.266 or 50.27
Step-by-step explanation:
Whoever answers correctly gets brainliest
Simplify the equation. n ÷ 12 = 11
Answer:
n=132
Step-by-step explanation:
Answer:
132
Step-by-step explanation:
n/12=11
n=11*12
n=132
what are ratios that are equivalent to the ratio 4:10
Answer:
2:5
8:20
20:50
Step-by-step explanation:
Just multiply each side of the ratio by the same number to get equal ratios (:
The rectangular prism below is split into cubes. Each cube is 1/5 of an inch on each side. Which of the following expressions represent the volume, in cubic inches, of this rectangular prism? Select all that apply.
A. 1/5 x 1/5 x 1/5
B. (1/5 x 1/5 x 1/5) x 12
C. 2/5 x 3/5 x 2/5
D. 2/5 +3/5 + 2/5
E. (2 x 1/5) x (3 x 1/5) x (2 x 1/5)
F. (2 x 25 x2/5) + (2 x 3/5 x 2/5) + (2 x 2/5 x 3/5)
Answer:
a b and 3
Step-by-step explanation:
hope this helps :)
What is the answer for 3/4X2 2/5-5/6
Answer:
3/4x2 2/5 - 5/6 = 29/ 30
≅ 0.9666667
Step-by-step explanation:
what do you notice about these two equations? (How many solutions?)
y=3x-2
y=-3x-9
Answer:
they both have the same slope and have infinite solutions
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
What is 51= 3x even mean
Answer:
Step-by-step explanation:
if you multiplied a number by 3, you would get 51. If you want to solve for x, divide on both sides of the equal sign.
51/3 = 3x/3
17=x
Answer: 17
Step-by-step explanation: X is your variable, you need to find what X equals
In this case you can divide
51/3= 17
You can plug in your result to check your work. If the equation is true, it is correct
Since 51= 3 x 17, or 3 x 17= 51, this is correct
IF KLMN is a rhombus, and m angle KLM=80^ , what is the m angle 1
Answer:
angle 1 = 100°
Step-by-step explanation:
Given:
∠KLM = 80°
Find:
angle 1
Computation:
∠KLM + angle 1 = 180°
80° + angle 1 = 180°
angle 1 = 100°
WILL MARK BRAINLIST!!!!!!!!!!!!!
Answer:
f(-3) = 6
Step-by-step explanation:
Richard works from 10:00am to 4:00pm. His dinner break is 25% of the way through his work shift. What time is Richard's dinner break?
Answer:
1 hour and 30 minutes
Step-by-step explanation:
A circle has a diameter 11cm
A square has side length 7cm
Use Pythagoras' theorem to show that the square will fit inside the circle without touching the edge of the circle.
Step-by-step explanation:
diagonal of square:
square root of 7 square + 7 square =9.899cm
it wont touch the edge of the circle since the diameter if the circle is 11, it is longer than the diagonal of the square
Solve the proportion
2/r = 12/18
Answer:
r=3
Step-by-step explanation:
Divide the numbers
2/r=12/18
2/r=2/3
Multiply all terms by the same value to eliminate fraction denominators
rx2/r=rx2/3
simplify
2=2r/3
multiply all terms by the same value to eliminate fraction denominators again
3x2=3x2r/3
simplify
6=2r
divide both sides if the equation by the same term
6/2=2r/2
r=3
What is true about angle APD?
It is ___ to angle APC
It is ___ to angle CPB
Answer:
Step-by-step explanation:
I got this correct on this it is supplementary to apc and vertical to cpb
It is ✔️supplementary to angle ∠APC.
It is ✔️vertical to angle ∠CPB.