Which of the following correctly expresses sin (70) + sin(30) as a product?
:
Select the correct answer below:
-2 sin (50)cos (20)
2sin (50)sin(20)
2sin(50)cos(20)
2sin(20)cos (50)
Answers
Answer:
2sin50 cos20
Step-by-step explanation:
We need to write sin (70) + sin(30) as a product. The formula used here is :
[tex]\sin A+\sin B=2\sin (\dfrac{A+B}{2})\cos(\dfrac{a-b}{2})[/tex]
Here, A = 70 and B = 30
So,
[tex]\sin 70+\sin 30=2\sin (\dfrac{70+30}{2})\cos(\dfrac{70-30}{2})\\\\\sin 70+\sin 30=2\sin 50\cos20[/tex]
So, the value of sin (70) + sin(30) is 2sin50 cos20. Hence, the correct option is (c).
Related Questions
If Shane weighs 120 pounds and Johnny weighs 150 pounds.If Shanie gains 60 pounds will Shanie and Johnny be the same weight.
Answers
Answer:
shane is 120 pounds and johnny is 150 pounds
Step-by-step explanation:
shane 120 and johnny gains weight 60 pounds so 120 plus 60 that is both of the together is 180 hope this helps you i think they maybe be the same weight because together they are more
Answer:
No, Shane will be heavier
Step-by-step explanation:
120 > 150
120 + 60= 180
180 > 150
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $35. For one performance,
there were 65 tickets sold in all, and the total amount paid for them was $2125. How many tickets of each type were sold?
Answers
Answer:
30 $15 tickets and 20 $35 tickets
Step-by-step explanation:
What is the first step in simplifying the solution: log2 ^32 = x
Rewrite the equation as 2^x = 32
Find the square root of 32
Rewrite the equation as 2^32 = x
Find 32^2
Answers
Answer:
x=5
Step-by-step explanation:
log2^32=x
log2^2^5=x
5 log 2^2=x
5(1)=x
x=5
how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?
Answers
Answer:
See below.
Step-by-step explanation:
It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.
Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.
Proved!
Which table represents a direct variation function?
Answers
Explanation:
6/4 = 1.5 , 9/6 = 1.5 , 12/8 = 1.5
4.(06.02 MC)
Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4. (5 po
y = 3x + 7
y = 3x - 7
y =
x + 2
O y = fx-2
Answers
Answer:
y = 3x-7
Step-by-step explanation:
Lines that are parallel have the same slopes.
y = 3x-4 ---> y=mx+b (slope = m=3)
point-slope formula for a line: y - y1 = m(x-x1)
slope=m=3
(3,2)----> (x1,y1)
y - 2 = 3(x-3)
y - 2 = 3x-9
y = 3x-7
The picture shows a green parallelogram split into 8 equal parts and an orange parallelogram split into 4 equal parts. Drag figures to each box so that their total area is equal to the number given.
Answers
Answer:
the answer is in the imagen
Step-by-step explanation:
Convert the decimal 0.83 to a fraction, and classify it as either rational or irrational
Answers
Answer:
83/100, rational
Step-by-step explanation:
A rational number is a number that ends. Even if it has decimals, the decimals have to end. 0.83 is a rational number because it doesn't continually go on.
To write it into a fraction, the easiest way is to take it out of a hundred, like a percentage.
Answer:
83/100
Rational.
Step-by-step explanation:
0.83 can be converted to a fraction.
83/100
The fraction cannot be simplified further.
It is rational because it can be written in the form p/q, where p and q are whole numbers.
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
2x + 3y = 6
- 4x + 3y = 12
Answers
Answer:
D. [tex]x=-1, y=2\frac{2}{3}[/tex]
Step-by-step explanation:
Solving for x:
2x+3y=6
Subtract 3y from both sides
2x= -3y+6
Subtract 6 from both sides
2x-6= -3y
-4x+3y=12
Subtract 3y from both sides
-4x= -3y+12
Subtract 12 from both sides
-4x-12= -3y
Combine equations:
-4x-12=2x-6
Add 4x to both sides
-12=6x-6
Add 6 to both sides
-6=6x
6x= -6
Divide both sides by 6
x= -1
Solving for y:
2x+3y=6
Subtract 3y from both sides
2x= -3y+6
-3y+6=2x
Multiply both sides by -1
3y-6= -2x
Multiply both sides by 2
6y-12= -4x
-4x+3y=12
Subtract 3y from both sides
-4x= -3y+12
-3y+12= -4x
Combine equations:
6y-12= -3y+12
Add 3y to both sides
9y-12=12
Add 12 to both sides
9y=24
Divide both sides by 9
y= [tex]2\frac{2}{3}[/tex]
Answer:
x=−1,y=2
3
2
Step-by-step explanation:
x=-1,y=2 2/3
Melody lives 30 miles due south of her cousin's house and 40 miles due west of her grandparents' house. One day, she drove to her cousin's house in a straight line from her grandparents' house. How far did she drive?
Answers
Answer:
It’s 70 bc from cousin to her house is 30. From grandparents to her house is 40. To find the distance from cousins house to grandparents house u add 30 miles and 40 miles. This should give a total distance of 70 miles from cousins to grandparents.
Step-by-step explanation:
Hope this helps
What is a common reason for filing a 1040X?
A.
not using a tax preparer to file the initial return
B.
leaving off the cents of a dollar value
C.
forgetting to include miscellaneous income earned
D.
signing the form in blue ink
Answers
Answer:
c forgetting income
Step-by-step explanation:
qweddcs
help me with right answer plz
Answers
Answer:
13.5
Step-by-step explanation:
area: 1/2*[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]
Penny earns $580 more than half of Karen´s salary. If p represents Penny´s salary, write an expression that represents the amount of money Karen earns in relation to Penny.
Answers
Answer:
[tex]\frac{p}{2} + $580[/tex]
Step-by-step explanation:
p = Penny's salary
Karen's salary = $580 more than half of p
We can use the fraction [tex]\frac{p}{2}[/tex] to represent half of p.
Since Karen's salary is $580 more, her salary is $580 + [tex]\frac{p}{2}[/tex] .
Answer:
heyyyy
Step-by-step explanation:
2x − 5y = 16
3x + 2y = 5
can you also explain how you did it. Thanks :)
Answers
Answer:
x=3
y=-2
Step-by-step explanation:
2x - 5y = 16
3x + 2y = 5
Solve for x in the first equation.
2x - 5y = 16
2x = 16 + 5y
x = (16 + 5y)/2
x = 8 + 5/2y
Put x as 8 + 5/2y in the second equation and solve for y.
3(8+5/2y) + 2y = 5
24+15/2y + 2y = 5
24 + 19/2y = 5
19/2y = 5-24
19/2y = -19
y = -2
Put y as -2 in the first equation and solve for x.
2x - 5(-2) = 16
2x +10 = 16
2x = 16-10
2x = 6
x = 3
Answer:
Step-by-step explanation:
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is
designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.
Assume that the groups consist of 16 couples. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 16 births.
The value of the mean is u =
(Type an integer or a decimal. Do not round.)
Answers
Answer:
The found values are:
μ = 8
σ = 2
Step-by-step explanation:
Following data is given in the question:
p = 0.5
n = 16
Consider that it follows binomial distribution:
For binomial distribution, the mean is the product or probability 'p' and and the sample size 'n' :
μ = p · n
μ = 0.5 · 16
μ = 8
For binomial distribution, the standard deviation is the square root of product of sample size 'n' and the probabilities 'p' and 'q'.
σ = √(n·p·q)
where q = 1 - p = 1 - 0.5 = 0.5
σ = √(16 · 0.5 · 0.5)
σ = √4
σ = 2
Which elements in the same below are integers? -3,3.7,9,-7.34,2.83,5,56/7,-1
Answers
Answer:
Integers -3, 9, 5, 56/7, -1
Step-by-step explanation:
Integers are whole numbers that can be positive or negative. They do not have decimals.
4.3cm round to 3 decimal places?
Answers
Answer:
0.4
Step-by-step explanation:
(35–34)(33+32) is divisible by 24;
Answers
problem decoded dude
answer is in attachment
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Answers
Answer: C, It stays the same.
Step-by-step explanation: If you simplify the ratio (the fraction) by canceling the t's, you get 2/1 or 2:1. This means that no matter the value of the variable t, the value of the expression will stay the same.
Which of the following pairs of functions are inverses of each other? A)f(x)=2x-9 and g(x)=(x+9)/(2) B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2) C)f(x)=(x)/(3)+4 and g(x)=3x-4 D)(x)=5+\root(3)(x) and g(x)=5-x^(3)
Answers
Answer:
A)f(x)=2x-9 and g(x)=(x+9)/(2)
Step-by-step explanation:
f(g(x)) =x for inverses
A)f(x)=2x-9 and g(x)=(x+9)/(2)
2(x+9)/2) -9 = Canceling the 2 x+9 -9 = x inverse
B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2)
2/(x+6)/2 ) -6 =4/(x+6) - 6 This will not give me x
C)f(x)=(x)/(3)+4 and g(x)=3x-4
(3x+4)/3 -4 = x + 4/3 -4 This will not give me x
D)(x)=5+\root(3)(x) and g(x)=5-x^(3)
5 + cuberoot ( 5-x^3) This will not give me x back
Answer:
2x-9 is the inverse of x+9/2
Step-by-step explanation:
If the measure of angle 3 is equal to (2x + 6) and x = 7, which statements are true?
Check all that apply .
Answers
Answer:The measure of angle 6 is 20. The measure of angle 5 is 70. Angles 2 and 5 are complementary. Angles 1 and 4 are supplementary.
Step-by-step explanation:
the Scientific notation 2 times 10^10-2 has what value. 0.02 0.002 0.2 0.0002
Answers
Answer:
.02
Step-by-step explanation:
Answer:
Step-by-step explanation:
I'm pretty sure your equation looks like this:
[tex]2*10x^{10-2}[/tex]
Lets break it down,
First i will subtract the [tex]^{10-2}[/tex] in the equation
=8
new equation:
[tex]2* 10^{8}[/tex]
=200,000,000
Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft
Answers
You would add each side together 10 plus 10 is 20 then 20 plus 8.9 is 28.9 then 28.9 plus 8 is 36.9 plus four which is 40.9
Answer: 40.9
Step-by-step explanation:
Find the difference.
(4x2 - 6x+8) - (3x2 - 6x + 2)
Answers
4
x
2
−
6
x
+
8
−
(
3
x
2
−
6
x
+
2
)
Distribute the Negative Sign:
=
4
x
2
−
6
x
+
8
+
−
1
(
3
x
2
−
6
x
+
2
)
=
4
x
2
+
−
6
x
+
8
+
−
1
(
3
x
2
)
+
−
1
(
−
6
x
)
+
(
−
1
)
(
2
)
=
4
x
2
+
−
6
x
+
8
+
−
3
x
2
+
6
x
+
−
2
Combine Like Terms:
=
4
x
2
+
−
6
x
+
8
+
−
3
x
2
+
6
x
+
−
2
=
(
4
x
2
+
−
3
x
2
)
+
(
−
6
x
+
6
x
)
+
(
8
+
−
2
)
=
x
2
+
6
Answer:
x² + 6
Step-by-step explanation:
(4x² -6x + 8 )- ( 3x² -6x +2 )
4x² -6x +8 - 3x² + 6x -2
now group like terms
4x² -3x² -6x +6x +8-2
⇒ x² +6
Simplify. ( w^2/-3u^4)^2. Write your answer without parentheses.
Answers
Answer:
w^4 / (9u^8)
Step-by-step explanation:
( w^2/-3u^4)^2
We know that ( a/b) ^c = a^c / b^c
( w^2) ^2/ (-3u^4)^2
We know that a^b^c = a^(b*c)
w^(2*2)/ (-3u^4)^2
We know ( ab) ^c = a^c * b^c
w^4/ (( -3)^2 u^4^2)
w^4/(9 u^(4*2))
w^4 / (9u^8)
Factor the quadratic expression: x^2 + 25
Answers
I’m timed plz answer!!! Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0. x y squared StartRoot 8 x cubed EndRoot 2 x cubed y cubed StartRoot x y squared EndRoot 2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot 4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answers
Answer:
C
Step-by-step explanation:
bc i said so i think
Answer:
C
Step-by-step explanation:
C
What is the point-slope form of a line with slope -3 that contains the point (10,-1)?
A. y + 1 = 3(x+10)
B. y + 1 = 3(x-10)
C. y + 1 =-3(x-10)
D. x + 1 = -3(y -10)
Answers
Answer:
the point slope form is
y + 1= -3(x - 10)
solution is c
Find the size of the final unknown exterior angle in a polygon whose other exterior angles are:
63', 64°, 82°, 49° and 58°
Answers
Answer: 44°
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360°
If your polygon has six sides, the final angle will be:
= 360 - (63 + 64 + 82 + 49 + 58)
= 360 - 316
= 44°
Who described gravity mathematically
Answers
Answer:
I believe Isaac Newton did with a formula.
gravity(F=Gm1m2/ r2)
Hope this helps
Step-by-step explanation:
Answer:
Isaac Newton was the first man to do so.
Step-by-step explanation:
gravity(f=gm=1m2/ r2)
Hope this helped and please mark me brainliest!