Answer:
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
Step-by-step explanation:
Step(i):-
Given that the trigonometric function
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
we know that sin²∝ + cos²∝ = 1
⇒ sin²∝ = 1- cos²∝
Now we have to simplify the given trigonometric function
= [tex]\frac{cosec\alpha(sin^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
= [tex]\frac{cosec\alpha(sin \alpha ) }{ cos\alpha }[/tex]
Step(ii)
we know that cosec∝ = 1/ sin∝
= [tex]\frac{\frac{1}{sin\alpha } (sin \alpha ) }{ cos\alpha }[/tex]
After cancellation sine function, we get
= [tex]\frac{1 }{ cos\alpha } = sec\alpha[/tex]
Final answer:-
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
Enter a numerical expression for the word expression.
11 decreased by 8
Mrs. Carter puts a variety of wrapped chocolate candies into a bag. There are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies. If 15 students select one candy at a time out of the bag without looking, and replace the candy after each draw, how many students would be expected to select a gold-wrapped candy from the bag?
A. 4 Students
B. 5 Students
C. 15 Students
D. 60 Students
Answer:
a
Step-by-step explanation:
it won't be 5
nor 60
and it won't be 15
NEEED HELP QUICK PLS PLS pls pls pls .
Answer:
step 4 is correct because h-¹(x)=2x+5
deb Found 56 tulips for $8. Please help Deb figures out the ratio
Answer: 7:1
To find the unit rate or unit ratio, divide 56 by 8.
56/8 = 7.
So, per 7 tulips it costs 1 dollar, or $1.
So the ratio, 7:1 represents this problem.
look at angle uvy and angle yvw in the image below which the following is the best description for this pair of angles
1. How could you find the actual number of sticky notes it will take to cover the cabinet, excluding the bottom? What information would you need to know?
Hey there!
You would probably need to know the dimensions and surface area of the cabinet, and the dimensions and area of the sticky notes.
Hope it helps and have an amazing day!
Scott earned 20 points more on his most recent math test than he earned on the previous test. If he earned at least 80 points on the most recent math test, how many points did he earn on the previous test?
Question 16 options:
s ≤ 60
s 60
s ≥ 60
9514 1404 393
Answer:
s ≥ 60
Step-by-step explanation:
If Scott earned 20 points more on this test, then he earned 20 points less on the last test. 20 points less than "at least 80" is "at least 60."
s ≥ 60
If MN is a midsegment of ∆ABC, find the values of x and y.
Answer:
Step-by-step explanation:h
Answer:
d
Step-by-step explanation:
A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount. What is the total recommended daily amount of sodium?
Answer:
2,407mg of sodium is the recommended daily amount
Step-by-step explanation:
Using the cross multiplication you will get the answer.
1. make the problem as a fraction [tex]\frac{2070}{x} =\frac{86}{100}[/tex]
2. Cross multiply (2070*100=86*x)
3. Simplify the equation left. 207000 = 86x
2407 ≈ x (Divide both sides by 86)
4 2/3 divided by 1/2 in fraction form
Answer:
9 1/3
Step-by-step explanation:
4 2/3 = 14/3
14/3/1/2
14/3 x 2/1
28/3= 9 1/3
10 pens for $8.99.
25 pens for $19.75
What is the question?
Step-by-step explanation:
Answer:
so you need to find the cost of one pen, which ever is cheaper pick that one
What is the answer to this Question?
8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22
Answer:
Here
Step-by-step explanation:
Let's solve your equation step-by-step.
8−6(x−4)=2x−2(4x−5)+22
Step 1: Simplify both sides of the equation.
8−6(x−4)=2x−2(4x−5)+22
8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)
8+−6x+24=2x+−8x+10+22
(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)
−6x+32=−6x+32
−6x+32=−6x+32
Step 2: Add 6x to both sides.
−6x+32+6x=−6x+32+6x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
HELP ME EASY THINKING PROBLEM 20 POINTS
do you move the 6 for the 2?
Step-by-step explanation:
I'm sorry if its wrong
have a good day!
The best bike in a bike shop
sells for $400. The cheapest
bike sells for $50. The best
bike's price is what percent of
the price of the cheapest
bike?
Answer:
12.5%
Step-by-step explanation:
So just make an equation
400x=50
50/400=1/8=.125
.125=12.5
12.5%
What is the equation that represents this pattern
Thanks
Answer:
something like f(t)=t+3
Step-by-step explanation:
-3g = 9 what does g =
Answer:
g=-3
Step-by-step explanation:
-3g=9
divide through by-3
g=9/-3
g=-3
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3g=9 Equation/Question
Step 2
-3g=9 Simplify
-3g=9
Step 3
-3g =9 Divide by 3
answer
-3
Hope this helps
one of sam's best customer spend 250.00 each month in sam's shop. She say that is roughly 5% of her monthly income. How much does she make each month.
Answer:
5,000
Step-by-step explanation:
x× 5 %=250
x=250×100÷5=5000
In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?
Sample Response: If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.
What did you include in your response? Check all that apply.
If the base were 1, the function would be constant.
If the base were 1, the graph would be a horizontal line.
If the base were between 0 and 1, the function would be decreasing.
Answer:
How would the function change if the base of the exponent were between 0 and 1? If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.
Step-by-step explanation:
Help please please ugufidhdjdift
Can someone turn this into an algebraic equation?
A community theater sold a total of 400 full-price tickets for adults and children. The price was $8.00 per adult ticket and $5.00 per child ticket. If the total
revenue was $2,750, how many adult tickets and how many children tickets were sold.
Answer:
Step-by-step explanation:
400/8.00/5.00/2750 tell me if incorect
Rewrite as a simplified fraction. 0.51 = ?
Answer:
51/100
Step-by-step explanation:
The temperature was -12 degrees
Celsius and rose to 2 degrees Celsius.
What was the change in temperature?
Hurry
Answer:
+14 degrees Celsius
Step-by-step explanation:
you have to find the difference from -12 to 2 degree Celsius
Assume that Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively. Select all of the following that represent the law of cosines. q2 = r2 + s2 – 2rscos(Q) . q2 = r2 + s2 – 2qscos(R) . r2 = q2 + s2 – 2qscos(Q) . r2 = q2 + s2 – 2qscos(R) .s2 = q2 + r2 – 2qrcos(S)
Answer:
A. q2 = r2 + s2 – 2rscos(Q)
D. r2 = q2 + s2 – 2qscos(R)
E. s2 = q2 + r2 – 2qrcos(S)
Step-by-step explanation:
The following relation represent the law of cosines.
[tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]
Law of cosines:The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
It is given that, Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively.
A diagram is attached below,
From cosines law,
[tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]
Above relation represent law of cosines.
Learn more about the Law of cosines here:
https://brainly.com/question/4372174
Find the interest rate for a $4100 deposit accumulating to $5994.78, compounded monthly for 6 years.
Answer:
r = [1 + (i/n)]n - 1. Where: r =
Step-by-step explanation:
Isabella earns interest at an annual rate of 10% compounded annually on her savings account. She deposits $2,000 into her account. What is the total amount of money Isabella will have in her account after 2 years? (Use the formula to calculate compound interest
What is 0.672 in a  percent pls help
Answer:
67.2% or if your rounding to a whole number it’s 67%
Step-by-step explanation:
Move the dot (decimal) over 2 digits to the right —>
Helpppppppppppppppp pleaseeeeee
290.4 I'm guessing cuz bbn it closest to what I got
Solve for x
5x + 2 = 17
Answer:
r
Step-by-step explanation:
r
Answer:
Step-by-step explanation:
Here you go mate
Step 1
5x+2=17 Equation/Question
Step 2
5x+2=17 Simplify
5x+2=17
Step 3
5x+2=17 Subtract 2
5x=15
Step 4
5x=15 Divide
answer
x=3
Hope this helps
Is 2/3 less than 2/8
Answer:
No
Step-by-step explanation:
If there is 2 pizzas and one i cut in tree slices and the other is cut in eight slices the 8 slices are goind to be smaller. Hope this helps
Which angle is congruent to p
Answer: angle q is congruent to angle p
Step-by-step explanation:
congruent means same size shape, ect....
