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
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
You are measuring temperature using a thermometer that gives degrees in Fahrenheit. You want to know what the temperature is in degrees Celsius. This formula converts temperatures from degrees Celsius to degrees Fahrenheit: F = 9/5 C + 32. Rewrite this formula to convert Fahrenheit to Celsius. In your answer, use fractions instead of decimal numbers.
Answer:
C = 5/9(F - 32)
Step-by-step explanation:
Given:
F = 9/5 C + 32
Convert Fahrenheit to Celsius:
Computation:
F = 9/5 C + 32
F - 32 = 9/5 C
5[F - 32] = 9C
C = 5/9(F - 32)
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
Need answer ASAP will give brainliest check out the picture the answrs: 2, 65, 69, 60, 120, 89, and 30
-4x-(3+x)-1-5xsquared
Answer:
e
Step-by-step explanation:
what is 0+0 plz tell me th anwer
Answer:
0
Step-by-step explanation:
god made it that way
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.
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
use prime factors to find hcf of 18 12 56
Answer:
2 to the power of six times 3 cubed times seven.
Step-by-step explanation:
The prime factors of 56 are 2 cubed times 7 and the prime factors of 18 are 2 times 3 squared The prime factors of 12 are 2 squared times 3.
A factor is a number that divides another number, leaving no remainder
The highest common factor of 18, 12, and 56 using prime factors is 2.
What is a factor?A factor is a number that divides another number, leaving no remainder
Example: 12 = 4 x 3 where 4 and 3 are the factors of 12.
We have,
18, 12, and 56
The factors of each number are:
18 = 2 x 9, 3 x 6, 18 x 1
So the factors of 18 are 2, 3, 6, 9, and 18.
12 = 2 x 6, 3 x 4, 12 x 1
So the factors of 12 are 2, 3, 4, 6, and 12.
56 = 2 x 28, 4 x 14, 7 x 8, 14 x 4
So the factors of 56 are 2, 4, 7, 8, 14, and 28.
Thus,
The highest common factor of 18, 12, and 56 using prime factors is 2.
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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
Help!! Asap due soon
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)
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]
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
4y-7=5 what is the answer
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:
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?
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
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
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
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Why is Np=Op
Reflective property
Definition of right angle
Cpctc
Definition of perpendicular bisetor
Symetric property
Answer:
definition of perpendicular bisector
Step-by-step explanation:
You need to show the entire problem including the given.
I assume the given info states that
Segment MP is the perpendicular bisector of segment NO.
If that's the case, then the reason for lengths NP and OP being equal is
"definition of perpendicular bisector"
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
Use the algebra tiles tool to model the equation
5x + (–6) = 6x + 4. What is needed to model the equation? Check all that apply.
- 5 negative x-tiles on the left
- 6 positive x-tiles on the right
- 4 positive unit tiles on the right
- 6 negative x-tiles on the right
- 6 negative unit tiles on the left
Answer:b,c,e
Step-by-step explanation:
I got it on edg 2020
Answer:
B C D
Step-by-step explanation:
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
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.
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
A student solves the following equation and determines that the solution is −2. Is the student correct? Explain.
3/a + 2 − 6a/a2 − 4 = 1/a − 2
Answer:
No, the student did not check the solution to the derived equation in the original equation.
No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.
No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.
Step-by-step explanation:
just did on edge good luck!
The student is wrong in his answer to the equation
3/a + 2 − 6a/2a − 4 = 1/a − 2 is - 2, the correct answer is 2/3.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, 3/a + 2 − 6a/2a − 4 = 1/a − 2.
3/a + 2 - 3 - 4 = 1/a - 2.
3/a - 1/a = 3.
2/a = 3.
a/2 = 1/3.
a = 2/3.
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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
Which of the following describe 2/7
Answer:
Is there any answer choices?
Step-by-step explanation: