if cos(x)=-1/4 and tan(x)<0 what is sin(2x)
By definition of tangent,
tan(x) = sin(x) / cos(x)
so if tan(x) < 0, and we're given cos(x) = -1/4 < 0, then it follows that sin(x) > 0.
Recall the Pythagorean identity:
cos²(x) + sin²(x) = 1 → sin(x) = + √(1 - cos²(x))
Then
sin(x) = √(1 - (-1/4)²) = √(15/16) = √(15)/4
Recall the double angle identity:
sin(2x) = 2 sin(x) cos(x)
Then
sin(2x) = 2 • √(15)/4 • (-1/4) = -2√(15)/16 = -√(15)/8
I don't know what this equals??
Answer:
A decagon has 10 sides so its interior angles add up to 180(10) - 360 = 1440 degrees. Therefore, on average, each interior angle is 144 degrees and each exterior angle is 36 degrees. The sum of the exterior angles is 10 x 36 = 360 degrees.
Step-by-step explanation:
The total sum of the interior angles of a simple decagon is 1440°
Which polynomial is equivalent to (4n + 5)^2
A. 16n^2 + 20n + 25
B. 8n + 10
C. 16n^2 + 25
D. 16n^2 + 40n + 25
Answer:
(4n + 5)(4n+5)
16n^2+20n+20n+25
16n^2+40n+25
Answer is option D.
Mark brainliest!!
Answer:
D
Step-by-step explanation:
what is 0+0 plz tell me th anwer
Answer:
0
Step-by-step explanation:
god made it that way
-4x-(3+x)-1-5xsquared
Answer:
e
Step-by-step explanation:
Please help with the question below in the picture.
Answer:
Both ate 52 degrees
Step-by-step explanation:
You can find the measure of angle 5 by subtracting 128 from 180, which equals 52. From there you can deduct that angles 3 and 1 are congruent to 5, making them both 52 degrees.
MATH HELP ASAP! MARKING BRIANLISTT!! INEQUALITYS
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Arrow shows to the right which means all numbers equal to 18 and greater than 18
Gatorade come in two different sizes. A 16 ounce bottle costs 2.10 and a 20 ounce bottle costs $3.15. Which is the better buy and why?
what’s the slope of (1,18) and (9,9)
Answer:
-9/8
Step-by-step explanation:
m=y2-y1/x2-x1
9-18=(-9)
9-1=8
-9/8
hope this helps :3
if it did pls mark brainliest
Answer:
Step-by-step explanation:
(x₁, y₁ ) = (1 , 18 ) & (x₂ , y₂) = ( 9 , 9)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x-{1}}\\\\[/tex]
[tex]= \frac{9 - 18}{9 - 1}\\\\\\= \frac{-9}{8}\\[/tex]
Help!! Asap due soon
The spoke of a wheel is 35 cm. How far does the wheel travel in 1 rotation. Give your answer in meters and use pi = 22/7.
Answer:
2.2 m
Step-by-step explanation:
Assuming that spoke refers to the radius (r) of the wheel, you can determine the circumference of the wheel using 2(pi)(r).
2 x (22/7) x 35cm
= 220cm
As this answer is in cm, it needs to be converted to m to be a correct answer. As 1m = 100cm, 220cm x 0.01 = 2.2m
Define a pythagorean triple what does that mean
Answer:
represent a Pythagorean triple consists of three positive integers a, b, and c, such that a^2 plus b^2 = c^2
Mr. Pilgrim has a square backyard with an area of 3,600 meters. What is the perimeter of his fence?
Answer:
Perimeter of his fence = 120 m
Step-by-step explanation:
Given:
Area of square land = 3,600 m²
Find:
Perimeter of his fence
Computation:
Area of square land = 3,600 m²
4a² = 3,600 m²
a² = 900 m²
a = 30 m
Perimeter of his fence = 4a
Perimeter of his fence = 4 x 30
Perimeter of his fence = 120 m
I don't understand this math problem
Answer:
x = 4
Step-by-step explanation:
3(2x + 5) = 39
Distribute;
6x + 15 = 39
Subtract 15 from both sides;
6x = 24
Divide both sides by 6;
x = 4
Maria wants to buy a new couch that costs $850. She already has $250 in her piggy
bank and she is going to put away $40 per week. How long will it take for her to have
enough money to buy the couch?
Answer:
15 weeks
Step-by-step explanation:
850-250= 600
40*15= 600
Vivi is a drummer for a band. She burns 756756756 calories while drumming for 333 hours. She burns the same number of calories each hour.How many calories does Vivi burn per hour?
Answer:
2,272,542.81
Step-by-step explanation:
756756756/333=2,272,542.81
NEED HELP ASAP
Estimate the sum of 3.19 + 1.69 = ________ by rounding each addend to the nearest tenth.
A. 3
B. 3.9
C. 4
D. 4.9
Answer:
D
Step-by-step explanation:
3.19 become 3.20 . 1.69 becomes 1.70. Then 3.20 plus 1.70 is 4.90 or 4.9.
Answer:
D. 4.9
3.19 -> 3.2
1.69 -> 1.7
3.2 + 1.7 = 4.9
4y-7=5 what is the answer
Timothy has read 8/9 of the book Holes. Tara has read 2/3 of the book. Phillip reads 4/5 of the book. who read the most
Answer: Timothy
Step-by-step explanation:
8/9=0.8888888889
2/3=0.6666666667
4/5=0.8
The regular price of a bag is $41.45. During the sale, the bag was marked 20% off. What was the price of the bag during the sale?
$8.29
$33.16
$39.45
Step-by-step explanation:
since it's 20% off, that means it's sold at 80%.
hence,
80% x $41.45 = $33.16
Topic: percentage
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
The value of y varies directly with x. If x = 4, then y = 20.
What is the value of x when y = 60?
5
7
12
44
Answer:
12
Step-by-step explanation:
[tex]\frac{60}{20}[/tex] = 3, so if it varies directly with x then its 4 x 3 which is 12
Answer:
12
Step-by-step explanation:
I took the test thats the correct answer
Plz help asap with a explanation of why that’s the answer
Answer:
1st option
Step-by-step explanation:
y = 1/2x + 2
Answer:
the first one
remember. y=mx+b
mx= slope
b= y intercept
the slope is positive and the slope is rise over run. the y intercept is when the line the y axis (doesn't matter if it is negative or positive). this makes it a positive two
Perry wants to project a movie from his phone to a screen on the wall. The side length of the screen is 56 inches. The scale from the screen to the phone is 7 inches to 1 inch. What is the side length of perry's phone?
Answer: The side length is eight inches.
Step-by-step explanation: 56/7 because of 1/7 scale. Which = 8
Ex plane how knowing 50 x 4 = 200 helps you find 500 x 400
Answer:
Step-by-step explanation:
if you know 50*4=200, you must also know that 50*10=500 and that 4*100=400 so 500*400= 50*10*4*100
multiplication is comutative so
50*4*10*100=200*1,000= 200, 000
Answer:
500×400=
5×4=20
=20+(4 of zero)0000
200000
=200,000
Find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y=1/4x+5
Please help.
Determine the value of x in the diagram below
Answer:
x =32
Step-by-step explanation:
create equation
180 = 3x + 20 + 2x
combine like terms
180= 3x + 20 + 2x
180=5x + 20
subtract 20 from both sides of the equation
180=5x + 20
180-20= 5x +20 -20
simplify
160= 5x
divided both sides by 5
160/5=5x/5
solution
32= x
Scrambled: Use all four of number
set to create the first number You
must use each number once, and you
can use any combination of the four
basic operations (1. - X. =).
7: 1,3,7,2
Please can someone help me solve this!! :))
Answer:
A"(-1, -3), B"(-2, -6), C"(1,-7)
Step-by-step explanation:
y= -4 is a horizontal line that cuts y-axis at (0, -4)
A'(-4, -5), B'(-5,-2), C'(-2,-1) are given on thhe graph
first we reflect over the line m, y= -4
A"(-4, -3), B"(-5, -6), C"(-2,-7) because the line m is the bisector of what conects the image and preimage points
second we translate T(3,0) so you add a 3 to the x coordinate of each point
A"(-4+3, -3), B"(-5+3, -6), C"(-2+3,-7)
A"(-1, -3), B"(-2, -6), C"(1,-7)
MARKING BRAINLIESTTT!!!!
Felipe has a recipe for peanut butter dog treats. What is the ratio of cups of flour to tablespoons of peanut butter if Felipe makes 3 batches of dog treats? Show your work.
(Ingredient). (amount)
Peanut butter 4 tbsp
Flour. 1 cup
Egg. 1
Water. 2 tbsp
Solution:
The ratio of cups of flour to tablespoons of peanut butter if Felipe makes 3 batches of dog treats is, 1/4
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Felipe makes 3 batches of dog treats
The recipe for peanut butter dog treats,
(Ingredient) (amount)
Peanut butter 4 tbsp
Flour 1 cup
Egg 1
Water 2 tbsp
For 3 batches
Peanut butter required = 3 × required for one batch
= 3 × 4
= 12 tbsp
Flour Required = 3 × required for one batch
= 3 × 1
= 3
the ratio of cups of flour to tablespoons of peanut butter = 3/12
= 1/4
Hence, the ratio is 1/4
To know more about Ratio check:
https://brainly.in/question/7996583
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Need answer ASAP will give brainliest check out the picture the answrs: 2, 65, 69, 60, 120, 89, and 30