The solution of the trigonometric equation are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Trigonometric equation:
Given equation are,
[tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx[/tex]
We know that, [tex]cos(A-B)=cosA cosB+sinAsinB[/tex]
[tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\\\\cos\frac{\pi}{4} *cosx+sin\frac{\pi}{4} *sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx+\frac{\sqrt{2} }{2}sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx=0\\\\cosx=0\\\\x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Hence, The solution of the trigonometric equation are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
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Given h(x) = 2x+3, find x when h(x) = 13.
a) 8
b) 29
c) 18
d) 5
Four members from a 12 -person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. The first person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. How many different leadership structures are possible?
Answer:
11880 ways
Step-by-step explanation:
We can solve this problem in two ways. I'm going to show you how to do both.
We have 12 persons and are to choose a chairperson, a vice chairperson, secretary and a treasurer. So we are picking 4 members our of 12 persons.
From this 12, when we pick out one member, we are left with 11members. From 11, if we pick out another one, we have 10 left. From 10, if we pick out another member we have 9 left.
Such that
12 x11 x10x 9= 11880
These are the total different leadership structures possible.
Another way to solve this is by permutation method.
nPr
12!/(12-4)!
= 12!/8!
= 11880 ways
I need answers for both! plz help
Lealani has 24 scoops of high-fiber chimp food.
a. How many scoops of high-protein food should Lealani add to the mix if she wants to give it to baby chimps? Recall that baby chimps need 40% high-fiber food and 60% high-protein food.
b. How many scoops of high-protein food should Lealani add to the mix if she wants to give it to adult chimps? Recall that adult chimps need 60% high-fiber food and 40% high-protein food.
Answer: a = 14.4 scoops; b = 9.6 scoops
Step-by-step explanation:
a.) 40% of the high fiber scoops is 9.6. We need to figure out how much of the high protein she needs, so we would subtract the 9.6 from 24 and get 14.4.
b.) Solved the same as the first problem but with different numbers. 60% of her high fiber food is 14.4, so subtract that from 24 and you get 9.6.
Hope this helps! :) Sorry if I made a mistake
Express 600 as a percentage of 125
Answer:
480%
Step-by-step explanation:
600/125*100=480
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What is the equation of g in terms of f?
Answer:
g(x) = f(x - horizontal shift) + vertical shift translates to g(x) = f(x - [-4])+[-7].
Step-by-step explanation:
I'm not to sure but I hope this helps
A triangle has angles that measure 61,47,and 72. what kind of triangle is it?
A. right
B. obtuse
C. acute
Answer: Acute Triangle.
Step-by-step explanation:
x= ????? please help
Answer:
x = 122°
Step-by-step explanation:
Alternate interior angles
What is the solution to this equation
30.16 = 17.56 + 5x
Answer:
x=2.52
Step-by-step explanation:
Answer:
x=2.508
Step-by-step explanation:
30.16 = 17.56 + 5x
30.1-17.56=5x
12.54=5x
x=2.508
Hope I helped!
what are both square roots of 196
hi
square roots of 196 is : 14 and -14 as 14² = 196 and (-14)² = 196
Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 74 inches of snow. Currently it is snowing there at a rate of ½ inch per hour.
a) Write equations that show the amount of snow at each resort as a function of the number of hours of snow.
b) If the snow continues at this rate, when will Snow Dome have more snow than Mt. Winterpark? Show your solution process clearly.
Answer:
(a)
Snow Dome Ski: y = 65 + t
Mt. Winterpark: y = 74 + ½t
(b) Hours greater than 18
Step-by-step explanation:
Given
Snow Dome Ski
Base Snow = 65in
Rate = 1 in per hour
Mt. Winterpark
Base Snow = 74 in
Rate = ½ in per hour
Solving (a): Equation for both
To determine the amount of snow (y) at time (t) for any of the two, we make use of:
y = Base Snow + Rate * t
For Snow Dome Ski:
y = 65 + 1 * t
y = 65 + t
For Mt. Winterpark
y = 74 + ½ * t
y = 74 + ½t
Solving (b): When snow dome will have more snow.
To solve this, we set the following inequality
Snow Dome Ski > Mt. Winterpark
This gives:
65 + t > 74 + ½t
Collect Like Terms
t - ½t > 74 - 65
½t > 9
Multiply both sides by 2
t > 18
This implies that the snow at Snow Dome Ski will be more than the snow at Mt. Winterpark after 18 hours.
After 18 hours means, hours greater than 18 which could be 19, 20, 21.....
In the past month, Boris rented 5 video games and I DVD. The rental price for each video game was $3.30. The rental price for the DVD was $4.70. What is the
total amount that Boris spent on video game and DVD rentals in the past. First person to answer correctly will be marked as brainliest ;)
Answer:
$21.2
Step-by-step explanation:
3.30*5+4.70*1=21.2
shasha worked in the garden for 3 hours and 40 minutes. she started at 8:30am. at what time did she stop?
Answer:
Sasha stopped working at 12:10 PM
Step-by-step Explanation
8:30 + 3 hours and 40 minutes = 12:10 PM
Mark as brainliest if it's right!
Answer:
12:10 p.m
Step-by-step explanation:
3 hours from 8:30 is 11:30 a.m.
Now we add 30 minutes to 11:30 and you get 12:00
Add the remaining 10 minutes and you get 12:10 p.m
I hope this helped, please mark Brainliest, thank you!
Please help me I don’t get this Write the equation of the line that is parallel to y=3x-2 and goes through the points (-4,2)
Zach has $40,173 in his bank account. He recently decided to move to NYC to pursue an acting career and is not making money. He has to pay $4,700 per month for an apartment. How long will Zach be able to pay for this apartment without making money?
Answer:
8 Months
Step-by-step explanation:
You would have to do 40,173 divided by 4,700 which gives your answer which is technically 8.54744680851 but for just month alone it's 8
Solve the equations:
2^(3x−4)=−2
I need help with this problem
19. 2x²+5√3 x+6 = 0
Answer:
Step-by-step explanation:
2x²+5√3 x+6 = 0
Comparing this with quadratic equation ax^2+bx+c=0
So a=2,b=5√3,c=6
Discriminant D=b^2-4ac
D=(5√3)^2-4.2.6
= 75-48
=27.
27 >0
Hence the roots are real roots
X=(-b+√D)/2a, Y=(-b-√D)/2a
X=(-5√3+√27)/2×2, Y=(-5√3-√27)/2×2
X=(-5√3+3√3)/4,. Y=(-5√3-3√3) /4
X=-2√3/4,. Y=-8√3/4
X=-√3/2, Y =-2√3
So roots are X=-√3/2,Y=-2√3
PLEASE HELP MEEE I CANT DII
Answer:
12 pieces of sausage can be cut from the 8 inch sausage if each piece is 2/3 of an inch.
Step-by-step explanation:
2/3 = 0.66
8 x 0.66 = 12.12
Round down to 12.
I hope this helped you! If it did, please consider rating my answer, pressing thanks, and marking as Brainliest. Have a great day!
12 pieces each of 2/3 inches can be cut.
hope it helps :)
What is the difference in length between 1 1/4 inch button and 3/8 inch button
1/5+3/7 and you will get 50 points
Answer:
22/35
may be its your answer .
Suppose that a company has fixed costs of $23 per unit and variable costs $10 per unit when 13,500 units are produced. What are the fixed costs per unit when 10,000 units are produced?
answer
32632 answer hai bro
Cassandra has $2000 dollars in a bank account that she uses to make automatic $900.01 mortgage
payments each month. If Cassandra stops making deposits to that account, when would automatic
payments make the value of the account zero? Use a table to estimate the solution. Then use a graphing
calculator to approximate the x-intercept
Answer:
no
Step-by-step explanation:
it's CASSANDRA business so she solve it herself
im not sure this one is confusing
Read the following statement: Line segment MN is congruent to line segment OP.
Which of the following is an equivalent statement?
a
MN overbar is similar to OP overbar
b
MN overbar equals OP overbar
c
MN overbar is congruent to OP overbar
d
MN overbar is an element of OP overbar
Answer:c
Step-by-step explanation:
HELP ME PLEASE !!!!!!
Answer:
A
Step-by-step explanation:
The answer is (a) because that value is the y intercept meaning that it will be the value for price at the beginning of the time frame... in this case in January 2013 which is the beginning of the year.
Hope you find this helpful.
The sixth-grade class is going to the local art museum. There are 46 students in the class. The total cost of the tickets for all the students is $379.50. What is the cost of one student ticket?
Each ticket cost $8.25
Step-by-step explanation:
Divide 379.50 by 46 to get 8.25
379.50/36=8.25
Double check
8.26 x 46 = 379.50
Please answer this without making mistakes
Answer:
1 pound = 16 ounces
2 pounds = 32 ounces
Given:
Cost for 2 pounds of bananas = $1.28
Price per ounce = 1.28/32 [∵2 pounds = 32 ounces]
=$0.04
Hence the cost of bananas per ounce is $0.04
Hope it helped!
i need help in stw with twine peaks ssd's tell me ur epic and so u can help me
Answer:
wpic
Step-by-step explanation:
The function y = x4 + 9 is a transformation of the graph of the parent function y = x4. How is the y-intercept of the parent function affected by the transformation?
Answer:
B.The y-intercept of the function is shifted 9 units up
Step-by-step explanation:
edmentum
Answer:
The Y-intercept of the function is shifted 9 units up
Step-by-step explanation:
10 points ! please help
Find the percent the first number is of the second:
c
5 ft, 37.5 ft
Answer:
13 1/3%
Step-by-step explanation:
37.5/5=7.5
100/7.5=13.33333
13.333333= 13 1/3
Answer: 13 1/3%
13.33% is the percent the first number is of the second number.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We need to find the percent of the first number is of the second.
The first number is 5 feet and the second number is 37.5 feet.
We want what percent 5 feet is of 37.5 feet,
To find this we need to divide 5 feet/37.5 feet
We get 0.1333333 feet.
Now we have to multiply 0.1333333 by 100 as it is a hundredth part.
0.1333333 × 100 = 13.33333%
We can test that by doing 13.33333% of 37.5 (or .1333333 x 37.5) and we get 5 feet.
Hence, 13.33% is the percent the first number is of the second number.
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If you can do your homework at a rate of 3 minutes for every problem, how many problems
could be done after 4.81 hours? Round to a whole number.
Answer:
96.2
Step-by-step explanation:
well, it rounds up to 96, so the answer would be 96, but the actual answer is 96.2
