The value of x is 20.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sin 30 = 10 / x ______(10
We know that,
Sin 30 = 1/2 _____(2)
So,
Substituting (2) in (1).
1/2 = 10/x
x = 10 x 2
x = 20
Thus,
The value of x is 20.
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2/a - 6 = 12
= 12
Nejekernammd
Answer:
what's the question xjsbzbksns
Answer:
what r u asking?
Step-by-step explanation:
3x+1=6x-4 solve for x
Answer:
x = 5/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
3x + 1 = 6x - 4
Step 2: Solve for x
Subtract 3x on both sides: 1 = 3x - 4Add 4 to both sides: 5 = 3xDivide 3 on both sides: 5/3 = xRewrite: x = 5/3Answer:
Exact form
x=5/3
Decimal form
x=1.6
Mixed number form
x= 1 2/3
Step-by-step explanation:
A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 18 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?
Answer:
9 weeks
Step-by-step explanation:
divide the full capacity by 2 to get 9 because 9 x 2 is 18 and half of the full capacity would be half capacity
. A cell phone company has three different production sites. Five percent of the cars from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3. If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3 (write it up to second decimal place)
Answer:
0.15 = 15% probability that it came from Site 3
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Being recalled
Event B: Recalled from site 3.
Probability of being recalled:
5% of 60%(from site 1)
7% of 30%(from site 2)
9% of 10%(from site 3).
So
[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]
Probability of being recalled, being from site 3.
9% of 10%.
[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]
If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]
0.15 = 15% probability that it came from Site 3
Find the value of x if A, B, and C are collinear points and B is between A and C. AB=6x,BC=x−5,AC=23
Answer:
The value of x = 4 if A, B, and C are collinear points and B is between A and C.
Step-by-step explanation:
We need to find the value of x if A, B, and C are collinear points and B is between A and C.
We have AB=6x,BC=x−5,AC=23
If points are collinear and B is between A and C we can write:
AC=AB+BC
Putting values and finding value of x
[tex]AC = AB+BC\\23=6x+x-5\\23=7x-5\\7x=23+5\\7x=28\\x=\frac{28}{7}\\x=4[/tex]
The value of x = 4 if A, B, and C are collinear points and B is between A and C.
Given f () = (5 – 1)? what is the value of f(11)?
Record your answer and fill in the bubbles on your answer document.
Keypad
-168
1
2
3
4
6
7
00
9
0
CLEAR
Answer:
f(11) = 9
Step-by-step explanation:
f(x) = 1/4(5-x)^2
f(x) = 1/4 (5-11) ^2
f(11) = 1.25 - 2.75 ^2
f(11) = 9
help fastt!!
> AA.3 Area of triangles and trapezoids ENE(IXL)
What is the area?
5 yd
8 yd
square yards
(click the photo)
also could someone explain how you get the area of these?!?
Answer:
Area of triangle = 20 square yards
Step-by-step explanation:
The height of triangle = 5 yd
The base of triangle = 8 yd
We need to find area of triangle.
The formula used is: [tex]Area\: of\: triangle=\frac{1}{2}\times base \times height[/tex]
Putting values and finding area
[tex]Area\: of\: triangle=\frac{1}{2}\times base \times height\\Area\: of\: triangle=\frac{1}{2}\times 8 \times 5\\Area\: of\: triangle=4 \times 5\\Area\: of\: triangle=20\:square\:yards[/tex]
So, Area of triangle = 20 square yards
A sporting goods store sells 7 cans of tennis balls for every 3 tennis rackets. How many cans of tennis balls would be sold if 63 tennis rackets were sold?
need asap
Answer:
7×63=441
Step-by-step explanation:
441 cans of tennis
The diameter of a circle is 8 cm. Find its circumference in terms of pi
Answer:
25.13 or 8 × pi
Step-by-step explanation:
diameter × pi = circumference
Answer:
8π
Step-by-step explanation:
formula for circumference of a circle=
C=2πr, r= radius
the radius is the diameter divided by 2
radius= 8/2=4
plug into formula
C=2π4
multiply 2 and 4
C=8π
The number of seeds in watermelons from an organic farm follow a distribution that is skewed to the right with a mean of 348 seeds and a standard deviation of 149 seeds. If a farmer randomly selects 50 watermelons from this farm, what is the probability that the average number of seeds is greater than 400 ap statistics
Answer:
89
Step-by-step explanation:
Please help. I dont understand how to do this. Enter the coordinates of the vertices of (Ry-axis ∘ r(90°, O))(QRST).
Answer:
I think it's
Q = ( 1 , 3 )
R = ( 3 , 3 )
S = ( 0 , 2 )
T = ( -2 , 1 )
Step-by-step explanation:
please tell me if this is wrong.
Hope this helps!
branliest on this volume on a cube volume question
Which cube is a unit cube?
1. a cube that is 2 feet long, 2 feet tall, and 2 feet high
2. a cube that is 5 meters long, 5 meters wide, and 5 meters high
3. a cube that is 3 yards long, 3 yards wide, and 3 yards high
4. a cube that is 1 inch long, 1 inch wide, and 1 inch high
Answer:
4th one
Step-by-step explanation:
In geometry, a unit cube is a cube whose each side is 1 unit long.
Answer:
4TH ONE
Step-by-step explanation:
please help with this :(
Answer: -m^4
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
-1 x -1 x -1 = 1
Please answer really important
Answer:
3x16+8x8
Step-by-step explanation:
3 lots of 16
+
8 lots of 8
Answer:
I know that 1 and 3 are correct.
Step-by-step explanation:
3x16+8x8
There are 8 childrens tickets, which each cost 8 dollars so you multiply those.
There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.
3x16+8²
8 squared is just 8x8.
There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.
Solve 4(5x+2)=14x+32
Answer:
x=4
Step-by-step explanation:
4(5x+2)=14x+32
20x+8 = 14x+32
20x-14x+8=14x-14x +32 (Both side +14x)
6x+8=32 (cancel 14x -14x)
6x+8-8=32 -8(both side -8)
6x=24 (both side divide 6)
6x/6=24/6
x=4
Answer:
34x+34
Step-by-step
20x+2=14x+32
20x+14x=2+32
34x+2+32
2+32=34
34x=34
What is the answer? please help
Answer:
The answere is -8 i think
Step-by-step explanation:
Answer: The answer is c
Step-by-step explanation:
The question is:
Which calculation and answer show how to convert 13/16 into a decimal
Answer:
I think the answer is D
Step-by-step explanation:
Answer is D, because if you divide 13 and 15 it gives you 0.8125
Students in Mr. Hill’s class were asked how many TV shows they watched last weekend. The results are shown on the line plot. A line plot titled Amount of T V Watched. A number line goes from 0 to 7 and represents the number of T V Shows. There are 4 marks above 0, 2 marks above 1, 4 marks above 2, 3 marks above 3, 1 mark above 4, 2 marks above 5, 1 mark above 6, 3 marks above 7. Which statement about the number of TV shows watched is accurate? Half of the students watched fewer than two TV shows. More than half of the students watched three or more TV shows. Fewer than one-quarter of the students watched five or more TV shows. Half of the students watched fewer than two shows or more than five shows.
Answer:
i think it is b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Plz mark brainliest
once again pls pls help thx so much to the ppl who take there time and help me with this ill mark you brainliest, send a thank you, and mark star5 :)
Answer:
1/3 for a.
2/3 for b.
[character limit pass]
"I think of a number, take away 1 and multiply the result by 3."
Write it in algebraically, using x as your unknown
Answer:
(x-1)3
3x-3
Step-by-step explanation:
I came up with this.
The resultant of the expression of the given phrase as take away 1 and multiply the result by 3 will be 3x - 3.
What is an expression?An expression is a combination of some mathematical symbol such as an arithmetic operator and variable that are all constrained and create an equation.
In other meaning, expression is beneficial to determine the end or root value of constraint.
For example 3x +5y
As per the given,
take away 1 = x - 1
Multiply the result by 3 = 3(x - 1)
3(x - 1) = 3x - 3
Hence "The resultant of the expression of the given phrase as take away 1 and multiply the result by 3 will be 3x - 3".
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13
5
ө
12
What is the length of the side opposite to angle θ
Answer: Sin θ =
Step-by-step explanation:
In the figure attached, ABC is a right angle triangle.
Sides of this triangle are AB = 12 BC = 5 and CA = 13
Angle opposite to the side having length = 12 is θ.
Now we have to calculate sin θ.
Since Sinθ =
=
Therefore, ratio which represents sinθ will be
Step-by-step explanation:
What numbers are a distance of 12 unit from 35 on a number line?
Select the locations on the number line to plot the points.
30 points
Answer:
The numbers are 1/10 & 11/10
Answer:
yes means yes
Step-by-step explanation:
Please I need help
I will mark you brainliest
Answer:
60ft
Step-by-step explanation:
Using the formula shown a^2 + b^2 = c^2
5 ^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
Take the square root of both sides:
C = 13
Steven earns extra money babysitting. He charges $37.00 for 4 hours and $55.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
Answer:
Step-by-step explanation:
3.2
The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points. What was the amount of change over those three days.
48 points gained in those 3 days.
Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.
Subtract 220-48.It‘ll be 172.
Add 172 with 96. 172+96=268.
Subtract 268 with how much points the stock market had 3 days ago. 268-220 would be 48.
The amount of change over those three days is 268 points.
Here,
The stock market dropped 220 points on Monday.
It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points.
We have to find, the amount of change over those three days.
What is amount?
The sum total of two or more quantities or sums, is called amount.
Now,
The stock market dropped 220 points on Monday.
It lost another 48 points on Tuesday.
Hence, the points after loss = 220 - 48 = 172
And, when it gained 96 points.
Then, the points after gain = 172 + 96 = 268
Hence, The amount of change over those three days is 268 points.
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write the algebraic expression for: The length of a rectangle is 3 feet less than 4 times its width.
Answer:
Perimeter (P) is: 48
Problem to solve:
48=2(2x+3)+2(x)
48=4x+6+2x
48=6x+6
48-6=6x+6-6
42=6x
42/6=6x/6
7=x
Step-by-step explanation:
The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet. Find the width. Hint: You did this in Module 3 Assignment 5. Now you have to write the equation and solve it.
a. 16
highlight%28b%29. 7
c. 8
d. 21
e. 24
:
Formula for the perimeter of a rectangle is: highlight%28P=2L%2B2W%29, P is perimeter, L is length, W is width.
Let Width (W) be:x
Then length (L)is: 2x+3
can someone please answer meeee
Answer:
25
Step-by-step explanation:
a^2+b^2=c^2
24^2+7^2=c^2
576+49=625
then square
25=c
James worked for 8 hours mowing lawns; he earned 68 dollars. How much would he
earn if he worked for 10 hours?
Answer:
$85
Step-by-step explanation:
First you do 68 divided by 8. Then you take the answer 8.5 and multiply it by 10 which equals 85. Brainliest?
Mrs. Taylor made 67 tissue holders each day. She decided to sell her tissue holders and sold out each day for four weeks. How many tissue holders did she sell?
A. 1,876 tissue holders
B. 1,866 tissue holders
C. 1,407 tissue holders
D. 670 tissue holders
Answer:
the answer would be A
Step-by-step explanation:
Answer:
A. 1,876 tissue holders
Step-by-step explanation:
PLease do all this i will give brainiest
Answer:
The cost of 10 pens is $2.25.
You would have 30 hard boiled eggs.
You will need 18 hard boil eggs for 54 scrambled.
Step-by-step explanation: