Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =
Answer:
1/4
Step-by-step explanation:
If you type cos(75)cos(15) into a scientific calculator, the answer comes out as 1/4.
The value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a trigonometric expression:
= cos(75°)cos(15°)
As we know the trigonometric identity:
cos(a)cos(b) = (1/2)[cos(a + b) + cos(a - b)]
a = 75
b = 15
Plug the above values in the trigonometric identity:
cos(75)cos(15) = (1/2)[cos(75 + 15) + cos(75 - 15)]
cos(75)cos(15) = (1/2)[cos(90) + cos(60)]
The trigonometric ratio is the ratio of the pair of a right-angled triangle.
The value of cos90 = 0
cos60 = 1/2
cos(75)cos(15) = (1/2)[0 + 1/2]
cos(75)cos(15) = 1/4
Thus, the value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.
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help! this is algebra 1 and idk how to do it lol
Answer:
a. x+6 = 0
b. y-2 = 0
Step-by-step explanation:
Given point is:
(-6,2)
a. Line perpendicular to x-axis:
A line perpendicular to x-axis means that the line is vertical and parallel to y-axis. Any equation parallel to y-axis has the form
x = k
where k is the x-coordinate of the point from which the line passes.
So the required equation is:
[tex]x = -6\\x+6 = 0[/tex]
b. Line perpendicular to y-axis:
A line perpendicular to y-axis will be a horizontal line parallel to x-axis having the equation of the form
y = b
where b is the y-intercept
Required equation is:
[tex]y = 2\\y-2=0[/tex]
Hence,
a. x+6 = 0
b. y-2 = 0
Solve for x:
3x+c=12
Please show work
Answer:
x=3 c=3
Step-by-step explanation:
How to solve for x is 12 divided by 3 equals 4 so x would equal 3 and C would give you an answer of 3 also if i am correct. 3×3 + 3 = 12
whats 100000x 109888888 -4000 + 185637?
ill give brainliest or whatever you want
Answer:
1.0988889e+13
Step-by-step explanation:
and i oop
pls help I will give you brainliest just help please
Answer:
The answer is A & D.
Step-by-step explanation:
Hope this helps
Given: -2(5x-3/4)=-10x+3/2
-2(5x)+(-2)(-3/4)
=-10x+3/2
7th Grade Math
Please help
-7 = 1/3 a
Find the value of a
Answer:
[tex]\huge\boxed{a=-21}[/tex]
Step-by-step explanation:
[tex]-7=\dfrac{1}{3}a\to\dfrac{1}{3}a=-7\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{1}{3\!\!\!\!\diagup}a=(-7)(3)\\\\a=-21[/tex]
(6x)^2 can be thought of as a vertical stretch by a factor of
O 6
O 36
O nothing
30+ points need it asap! :) pls show work.
Write a polynomial function f of least degree with the following zeros: 3, 4 + i
Answer:
[tex]f(x)=(x-3)(x^2-8x+17)[/tex]
Or:
[tex]f(x)=x^3-11x^2+41x-51[/tex]
Step-by-step explanation:
To find our factors, we can work backwards.
We know that 3 is a zero. This means that:
[tex]x=3[/tex]
Subtract 3 from both sides:
[tex](x-3)=0[/tex]
So, (x-3) is one of our factors.
We also know that (4+i) is a zero. So:
[tex]x=4+i[/tex]
First, let’s isolate the imaginary. So, subtract 4 from both sides:
[tex](x-4)=i[/tex]
Now, let’s square both sides:
[tex](x-4)^2=(i)^2[/tex]
Expand the left. Evaluate the right:
[tex](x^2-8x+16)=-1[/tex]
Add 1 to both sides. So, our factor is:
[tex](x^2-8x+17)=0[/tex]
Hence, our polynomial function is:
[tex]f(x)=(x-3)(x^2-8x+17)[/tex]
This is also the least degree since we did the most minimum we can do to solve backwards.
Further Notes:
If we want to convert this to standard form, we can distribute:
[tex]f(x)=(x^3-8x^2+17x)+(-3x^2+24x-51)[/tex]
Combining like terms will yield:
[tex]f(x)=x^3-11x^2+41x-51[/tex]
Last year, Mollie collected 64 pieces of candy while trick or treating. This year her costume is so fabulous that people were extra generous, and she collected 115 pieces of candy. What was the percent of change in her candy haul?
Answer:
79.6875 % If you can round, please do.
Step-by-step explanation:
Can somebody please help me out
Answer:
Right so, you would first graph your center point. Then, based on the radius, you would make four points. Let's say your center point is (0,0) and your radius is 2. You would make a point at (-2,0), (2,0), (0,-2), and (0,2). You would then draw a circle through those points. Let me know if you need any further clarification!
1. 165.45 ÷ 1000 =
2. 762.78 ÷ 100 =
3. 76.94 ÷ 10 =
4. 14352.89 ÷ 1000=
5. 12.30 ÷ 10 =
Answer:
1. 0.16545
2. 7.6278
3. 7.694
4. 14.35289
5. 1.23
Step-by-step explanation:
Just divide.
What does x an y represent
Answer:
x represents the bottom and y represents the top
Step-by-step explanation:
Answer:
grid
Step-by-step explanation:
So they x in the grid it a straight line in the middle ok. Then we have the y which is the one that's up and down in the grid. Also when the numbers are added that are ploted somewhere on the x goes first because x goes first in the alphabet.
I need help with my spanish
Can someone pls help
Answer:
It finally let me make an answer so here’s the answer:
1) he goes to el heladeria to get more ice cream
2) el banco to get money to pay
4) el mercado to get vegetables
5) el cafe to get more bread
The things you circle in the sentence for the correct verb are
1) comer (eat)
3) beber (drink)
4) usar (use)
5) comer (eat)
6) beber (drink) I hope this helps!
I had four numbers: 12, 8, 4, and ????? However, I remember that their average was 11. Please, help me to remember the number that I forgot!!! The number that our old math teacher forgot is
Answer:
The number was 20
Step-by-step explanation:
As the average is 11 and the numbers are 4, so the total sum of numbers will be 11X4=44. now the sum of three numbers are (20+8+4)=24. So the last number will be= (44-24)=20. :)
Answer:
20, 12,8,4 average out to 11
Step-by-step explanation:
omni average calculator on google will help :)
Find −523−16. Write your answer as a mixed number in simplest form.
Answer:
(-523) - 16 is -539
Step-by-step explanation:
mathmathmathmathmsthmatj
Can you help with this problem
Answer:
The value of w is 3.
Step-by-step explanation:
Parallelograms have equal opposite side measures.
so,
6w = w +15
6w - w = 15
5w = 15
w = 3
Answer:
w=3
Step-by-step explanation:
The opposite arms of parallelogram are equal
So the equation is
6w=w+15
=>6w-w=15
=>5w=15
=>w=15/5
Therefore
w=3
If you find my answer helpful.then please mark me as brainliest
En un estudio que preferencia entre mango verde y maduro, se encuestaron a 150 personas y el 60% prefiere mango verde. ¿Cuántas personas respondieron que prefieren mango verde?
Responder:
150 personas respondieron que prefieren el mango verde
Explicación paso a paso:
en un estudio de preferencia entre mango verde y maduro se encuestaron 150 personas 60% prefieren mango verde Cuántas personas respondieron que prefieren mango verde
paso uno:
datos dados
número total de personas encuestadas = 150
60% mango preferido
esto significa que 150 personas son 100%
y deja que X personas sean 60%
X = (60 * 150) / 100
X = 90
Puede verificarlo tomando el 60 por ciento de 150 de esta manera:
150 * 60/100 = 90
If 4(r + 2) – 13 = 11, what is the value of r?
Answer:
r = 4
Step by step explanation :
Step 1 : Add 13 to both sides.
4(r + 2) - 13 + 13 = 11 + 13
4(r + 2) = 24
Step 2 : Divide by 4 on both sides.
[tex]\frac{4(r+2)}{4} = \frac{24}{4}[/tex]
r + 2 = 6
Step 3 : Subtract 2 from both sides.
r = 4
The value of r is 4 in the given expression and this can be determined by using the arithmetic operation.
Given :
Expression - 4(r + 2) – 13 = 11
The following steps can be used to evaluate the given expression:
Step 1 - Write the expression.
4(r + 2) – 13 = 11
Step 2 - Add 13 on both sides in the above equation.
4(r + 2) – 13 + 13 = 11 + 13
4(r + 2) = 24
Step 3 - Multiply 4 by (r + 2) in the above expression.
4r + 8 = 24
Step 4 - Subtract 8 on both sides in the above expression.
4r + 8 - 8 = 24 - 8
4r = 16
Step 5 - Divide 4 on both sides in the above equation.
r = 4
The value of r is 4.
For more information, refer to the link given below:
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Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold
3
10
of them so far. If each candy bar costs $1.25, how much money has Vincent raised?
We conclude that Vincent has raised a total of $7.50
how much money has Vincent raised?
We know that initially, he has 20 candy bars.
He sells 3/10 of that total number, so the number of candy bars sold is:
N = (3/10)*20 = 6 candy bars.
And sells each for $1.25, so the total amount that has Vincent raised is:
R = 6*$1.25 = $7.5
We conclude that Vincent has raised a total of $7.50
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Which graph represents a linear function?
Answer:
If it is not a straight it is not considered a linear function. The image does not show all of the graphs, but it is not a linear function.
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute
Answer: A: 3 square feet per minute
Step-by-step explanation:
The square feet more that Paula can shovel in 1 minute more than Melinda is 3 square feet per minute.
System of equations
30x + + 30y = 450 equation 1
20x + 25y = 345 equation 2
Where:
x = square feet shovelled by Melinda
y = square feet shovelled by Paula
What is the square feet shovelled by Paula?The first step is to multiply equation 1 by 20 and equation 2 by 30
600x + 600y = 9000 equation 3
600x + 750 y = 10,350 equation 4
Subtract equation 3 from equation 4
150y = 1350
Divide both sides by 150
y = 9 square meters
What is the square feet shovelled by Melinda?Substitute for y in equation 1
30x + 30(9) = 450
30x + 270 = 450
30x = 450 - 270
30x = 180
x = 6 square meters
How much more can Paula shovel in 1 minute than Melinda?9 - 6 = 3 square meters
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Which of the lines below has an undefined slope? A B 6 с LO D 5 O A. Line A O B. Line B O C. Line C O D. Line D
Answer:
B. Line B
General Formulas and Concepts:
Algebra I
Undefined slopes are when x equals a certain number.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
From the given choices, B is the correct answer.
A has a slope of 0, so m = 0 and would become a horizontal line.
C has a negative slope, so it is not undefined.
D has a positive slope, so it is not undefined.
B shows a vertical line, and so it has an undefined slope.
What's the answer of 7/10×4
Answer:
2.8 in decimal form
Step-by-step explanation:
Answer:
Im pretty sure its 2.8
Step-by-step explanation:
Fred had $10.00 allowance to spend on books at the school book fair. He wanted to buy at least one comic book and one sports book. If the comic book he wanted was $4.67, and the sports book he wanted was $4.28, how much would he have left after buying both books?
A.
$5.33
B.
$1.05
C.
$5.72
D.
$8.95
Answer:
C
Step-by-step explanation:
4.67+4.28+= 8.95 -10=1.05
Write an equation in slope-intercept form that passes through the point (3,-5)
with a slope of 1.
The measure of angle Q is 75 degrees. Find the measure of angle P.
Answer:
< P = 30
Step-by-step explanation:
PQR isosceles triangle
< R= 75
< P = 180 - ( 75 + 75 ) = 30
write down the factors of 18
Answer:
Factors of 18 are 1, 2, 3, 6, 9, 18
. $7.45 + ‐$24.45 + $74.17 + ‐$76.52
Answer:
$-19.35 or -19.35 aprox
Step-by-step explanation:
Answer:
-19.35
Step-by-step explanation:
add positives and subtract negatives
A concession stand charges $2.50 for a bag of popcorn. The stand has already sold 30 bags of popcorn. How many more bags x of popcorn must be sold to earn at least $110? Write your answer as an inequality.
Answer:14 more bags must be sold
Step-by-step explanation:
hope it helped cause 2.50 times 44 gives you 110 and you already have 30 so 44 minus 30 gives you 14
( √-5 + 2√20) ( -√-5)
Answer:
you cant do it
Step-by-step explanation:
because i have tryed with my calculator and it keeps on saying MATH ERROR
[AC]:CANCEL
[LEFT ARROW][RIGHT ARROW]: GOTO
YOUR WELCOME AND PLZ VOTE AS BRAINLESS
PS DAD IS IN HOTSPITAL SO I WOULD LIKE YOU TO VOTE ME AS BRAINLESS
THANK YOU AGAIN
This problem cannot be simplified at all.