Recall that
sin(a + b) = sin(a) cos(b) + cos(a) sin(b)
sin(a - b) = sin(a) cos(b) - cos(a) sin(b)
Adding these together gives
sin(a + b) + sin(a - b) = 2 sin(a) cos(b)
To get 14 cos(39x) sin(19x) on the right side, multiply both sides by 7 and replace a = 19x and b = 39x :
7 (sin(19x + 39x) + sin(19x - 39x)) = 14 cos(39x) sin(19x)
7 (sin(58x) + sin(-20x)) = 14 cos(39x) sin(19x)
7 (sin(58x) - sin(20x)) = 14 cos(39x) sin(19x)
A motorcycle make 100 revelation in moving a distance of 220m find the diameter of the wheel
Answer:
Step-by-step explanation:
If it goes 220 meters and has made 100 revolutions that means that each revolution is 220 meters / 100 = 2.2 meters.
That's the same thing as saying that the wheel has a circumference of 2.2 meters.
Circumference = 2*pi * r = pi * d
2 = pi * d
2 = 3.14 * d
2/3.14 = d
d = 0.6369 meters
The cost of gasoline for 12 gallons is $22.18. What is the cost of 1 gallon?
Due to conservation efforts, the panda bear has been removed from the endangered species list. There are now 15,000 in the world, and the population is expected to grow by 10% yearly. Write an equation that models this scenario.
1. y = 15,000(1.10)x
2. y = 15,000(0.90)x
3. y = 15,000(0.10)x
4. y = 15,000(1.90)x
Answer:1
Step-by-step explanation:
you have to put the 1 infornt of the .10 if youre adding 10% more
Answer:
y = 15,000(1.10)x
Step-by-step explanation:
The equation y = 15,000(1.10)x represents the population of panda bears over time. In this equation, "y" represents the population, "15,000" represents the initial population of panda bears, and "1.10" represents the growth rate of 10% per year. The variable "x" represents the number of years.
By raising the growth rate of 1.10 to the power of "x" (the number of years), we account for the compounding effect of the growth rate over time. This equation allows us to calculate the population of panda bears after a specific number of years by multiplying the initial population (15,000) by the growth rate (1.10) raised to the power of the number of years.
For example, if we wanted to find the population after 5 years, we would substitute "x" with 5 in the equation:
y = 15,000(1.10)^5
This would give us the population of panda bears after 5 years, taking into account the annual growth rate of 10%.
Time traveler can take 5 books with him and he has 79 books to choose from how many different ways can the books be selected
We are given:
The time-traveller has 79 books, but he can only take 5 books
since we need to find the number of ways he can choose 5 books, we know that the order in which he takes the books does NOT matter
Hence, we will use combination
Finding the number of ways:
Since we will use combination, ₇₉C₅
We know that the formula for combination is (n!) / (r!(n-r)!)
₇₉C₅ = 79! / 5!(74!)
₇₉C₅ = 22,537,515
Therefore, the time traveller can choose 5 books in 22,537,515 different ways
Angle x is (2n + 12) and angle y is (3n + 18). Find the measure of angle x.
Answer: X and Y are supplementary angles. The sum of the supplementary angles is 180.
So, X + Y = 180
180 = 2n+12 + 3n + 18
180 = 5n + 30
5n = 150
n = 30
X = 2n+12
X = 2(30) + 12
X = 72
Y = 3n + 18
Y = 3(30) + 18
Y = 108
Step-by-step explanation:
I WILL GIVE BRAINLIES!!!
Rewrite 15x + 3y = 27 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Rewrite 15x − 3y = 12 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Rewrite 2y = 16 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Answer:
Would you want us to do all of it?
Step-by-step explanation:
Answer:
1) 15x + 3y = 27 in slope-intercept form.
→y=-5x+9
→m =-5
→b =(0,9)
2) 15x − 3y = 12 in slope-intercept form.
→y =5x-4
→m =5
→b =(0,-4)
3) 2y = 16 in slope-intercept form.
→y =8
→m =0
→b =(0,8)
What is the value of x is the image below?
R=46°
14x - 2
9x-2 help???
Answer:
the answer and explanation is there in the picture above as I found it hard to answer through text.
don't mind my messy handwriting...
I was writing fast.
Step-by-step explanation:
i hope this helps...
please give me brainliest if you find my answer helpful...
thank you and have a great day ahead :)
PLEASE HELP
Consider these three expressions:
Answer:
im not exactly sure if im right but i think it is the 1st option
Step-by-step explanation:
What is the first step in solving this equation? 3(2x + 6) – 4x = 2(5x – 2) + 6 Use the subtraction property of equality to subtract 6 from both sides. Use the addition property of equality to add 4x to both sides. Combine the like terms on each side of the equation. Use the distributive property on each side of the equation.
Answer:
The first step is solving what is inside of the parenthesisStep-by-step explanation:
Answer:
Use the distributive property
Step-by-step explanation:
bc you have to follow PEMDAS
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)? (5 – 7)2 (5)2 – 7 (5)2(5 – 7) (5 – 7)x2
Answer:
2(5-7)
Step-by-step explanation:
Answer:
5 – 7)2*
I took the test
Step-by-step explanation:
A golf association requires that golf balls have a diameter that is inches. To determine if golf balls conform to the standard, a random sample of golf balls was selected. Their diameters are shown in the accompanying data table. Do the golf balls conform to the standards? Use the level of significance.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
The data provided
Statistics descriptive: data
Sum of total
Variable Count Mean StDev Variance Sum Squares
Data [tex]1\ \ 12 \ \ 1.6810 \ \ 0.00429 \ \ 0.00002 \ \ 20.1720 \ \ 33.9093[/tex]
Null hypothesis: [tex]H_o: \mu= 1.68[/tex]
The alternative hypothesis: [tex]H_1 : \mu \neq 1.68[/tex] (The tailed two test)
helpppoooo meeeeee :)
Work Shown:
5^6 = 5^(3+3)
5^6 = 5^3*5^3
5^6 = 125*125
In the second step, I used the rule a^(b+c) = a^b*a^c
A pair of shoes had a sale price of 7650 what was the retail price at a 10% discount
Answer:
make a proportion:
90% - 76.50$
original price is 100% - x$
x=76.50$*100%/90%=85$
Answer: original price is 85$
Step-by-step explanation:
Cheyenne lives on a mountain that is 576.54 feet above sea level. The mountain her grandmother lives on is 408.6 feet above sea level. What is the difference in the elevations of these mountains
Answer:
167.94 feet
Step-by-step explanation:
576.54 - 408.6 = 167.94
I hope this helped, please mark Brainliest, thank you!
Answer:
Cheyenne's moutain is 167.94 feet taller than her grandmothers
Step-by-step explanation:
Cheyenne's moutain is 167.94 feet taller than her grandmothers moutain and the grandmothers moutain is 167.94 feet smaller than cheyenne's. All You have to do to find the answer is to subtract 576.54 from 408.6 and your answer will be 167.94
(Pls give brainliest if u dont mind :D)
04.04 match the term with the definition
i need the terms and definitions to answer this-
what fraction of 2 hours is 20 minutes
Answer:
The fraction is 1/6.
Step-by-step explanation:
In two hours, there are six 20 minute intervals. One interval of them would be 1/6.
What is the value of x2 + 2y ÷ 2W + 3z for w= 2, x = 5, y = 8, and z = 3?
Answer:
35
Step-by-step explanation:
x2 + 2y ÷ 2W + 3z
plug in the numbers
5(2) + 2(8) ÷ 2(2) + 3(3)
solve and use order of operations
=35
On your first day in business, 126 people come to eat. They spend about $52 each. About how much money did you earn on your first day?
Answer:
You erned about $6,552
Step-by-step explanation:
please help i worked on this for a long time and i cant figure it out.
I am NOT in collage btw
Answer:
Do you need to be in college? I´m pretty sure it does not affect anything uwu
Step-by-step explanation:
What is the range?
-3 -8 -5 0 1 -2 -5 4 6
Answer:
14
Step-by-step explanation:
Range = Maximum value - minimum value
= 6 - (-8)
= 6 + 8
= 14
Answer:
8- -5 -3 -2 0 1 4 6
On a map 2 inches represents 60 miles. If a line between two cities measures 9 inches, how many miles apart are they?
Answer:
270 miles
Step-by-step explanation:
because MATH
WILL GIVE BRAINLIEST PLS HELP!!
What is the Slope & Y - Intercept of Y = 3/4x - 5
m=____
b=_____
Answer:
M=3/4 B=-5
Step-by-step explanation:
The slope has an x attached to it and usually comes first while the y-intercept is the number that is after the x and always keep the plus or minus for +/-
PLZ HELP FAST
Enter an equation in standard form to model the linear situation.
A tank is being filled with gasoline at a rate of 4.6 gallons per minute. The gas tank contained 15 gallons of gasoline before filling started.
Answer:
4.6x+15
Step-by-step explanation:
The rate that the gas is being filled into the tank is 4.6x. The gas that is already within the tank at the start of filing is 15 gallons therefore the answer is y=4.6x+15
hope this helps!
-HM
Answer:
if correct please name me brainliest and thanks 26 2/3 + (-9 10/15)
Step-by-step explanation:
Explain how you get 608,149 to the nearest thousand place
Answer:
Step-by-step explanation:
608,000
you go to thousands look next number left and round up or down and the rest after the thousands becomes zeros
7th grade math need help please will give brainliest.
Answer:
C
Step-by-step explanation:
When you add all rentals together you should get 125, after this you see what the problem is asking, in our case, the probability of not renting a drama, as said, our total is 125. When we look at how many dramas have been rented you get 25, simply, you divide 125 by 25, therefore you should get 5, so now, we know that there is a 1/5 possibility for getting it but because its not 5/5.
Thus, there should be 4/5 which is the probability of it not getting chosen.
If carpet is 1.49 per square foot, how much will it cost for them to get new carpet for the master bedroom.
Answer:
The new carpet for the master room will cost $379.30
Step-by-step explanation:
The bedroom is a rectangle of dimensions:
[tex]4\sqrt {3}+6\sqrt {3}=10\sqrt {3}~ft[/tex]
[tex]6\sqrt {6}~ft[/tex]
Thus, the area of the master bedroom is:
[tex]A=10\sqrt {3}~ft*6\sqrt {6}~ft[/tex]
Multiply the coefficients and the arguments:
[tex]A=60\sqrt {18}~ft^2[/tex]
Calculating:
[tex]A=254.56~ft^2[/tex]
The carpet unit cost is $1.49 per square foot, thus the total cost of the new carpet is:
$1.49*254.56=$379.30
The new carpet for the master room will cost $379.30
The bookcase has 4 shelves. Each shelf has 47 books on it. How many books are in the bookcase?
Answer:
188
Step-by-step explanation:
4 x 47=188
Multiply. Write your answer as a fraction in simplest form. 5/4×9/10
Answer:
5/4×9/10
5*9 = 45 (divide by least common denominator) = 9
4*10 40 (divide by least common denominator) 8
Step-by-step explanation:
The least common denominator is 5
Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did jack make in total in commission during all four weeks?
Answer:
$2,600
Step-by-step explanation:
Brenda has a planter box in her backyard that measures 3 2/3 feet by 4 1/8 that measures 3 2/3 feet by 4 1/8 by 2 1/2 feet. What is the volume of brenda's planter box?
Answer:
Step-by-step explanation:
Sorry if I’m wrong-Lorenny
Answer:
37 13/16
Step-by-step explanation: