Answers
Answer:
2√3
Step-by-step explanation:
In a special right triangle called the 30-60-90 triangle, the ratios of the side lengths are x-x√3- 2x respectively. This means that the side opposite to the 60 degrees is x√3 and the side opposite to the 30 degrees is x.
Since the side opposite to the 60 degrees is 6, x√3=6
x√3=6
x=6/√3
rationalize the denominator:
6√3/3
simlify
2√3
so the answer is the third one. 2√3
Related Questions
investment A save £160 per month for 2 years. 2.5% interest is added to the total amount saved. Investment B invest £3800. Compound interest is added at 3% each year
Answers
Answer:
95.42
Step-by-step explanation:
Investment A:
160*24*1.025=3936
Investment B:
3800(1+.03)^2=4031.42
4031.42-3936= 95.42
Investment B is 95.42 more than investment A.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
investment A save £160 per month for 2 years.
2.5% interest is added to the total amount saved.
Investment A:
160×24×1.025=3936
Investment B:
Investment B invest 3800.
Compound interest is added at 3% each year
Convert 3% to decimal value by dividing 3 by 100.
3/100=0.03
P=A(1+r)t
A is initial deposit, r is rate of interest and t is time
3800(1+0.03)²
3800(1.03)²=3800×1.0609
=4031.42
We need to find how much investment B has more than investment A.
To find this let us find difference between investment A and investment B.
4031.42-3936= 95.42
Hence investment B is 95.42 more than investment A.
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9 is what percent of 45? Use the table to find the percent.
Shirts Sold
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
45
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
9 is
I
percent of 45.
Answers
Answer:
20%
Step-by-step explanation:
When asked, "x is what percent of y?" divide x by y and multiply by 100.
9/45 = 0.2
0.2 * 100 = 20%
Recall that we multiply by 100 to convert decimal to percent.
Step-by-step explanation:
Let x% of 45 be 9 Then
x % of 45 = 9
x / 100 * 45 = 9
45x = 900
x = 900 / 45
x = 20%
the options doesn't matches.
When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your friend has rigged up some fireworks to be set off when you win. When you win, he sets off the fireworks every time. When you don't win, he accidentally sets off the fireworks 10% of the time. If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?
Answers
Answer:
0.2275 = 22.75% probability that you actually won that round
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: Fireworks going off
Event B: You won
Probability of fireworks going off.
100% of 1/35 = 0.0286(when you win)
10% of 34/35 = 0.9714(you lost). So
[tex]P(A) = 0.0286 + 0.1*0.9714 = 0.12574[/tex]
Probability of you winning and fireworks going off:
100% of 1/35, so [tex]P(A \cap B) = 0.0286[/tex]
If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275[/tex]
0.2275 = 22.75% probability that you actually won that round
Let n be the product of the two smallest 3-digit prime numbers. Find the sum of the digits of n.
Answers
Answer:
Step-by-step explanation:
n = 101 × 103 = 10,403
sum of digits = 8
Which of the following gives the definition of dependent?
Answers
Answer:
Dependent means to not rely on other people.
Answer:
Option 4 is correct that is the property of two event in which the occurance of one of the event affect the chance of the other occuring
write two prime numbers whose difference is 10?
Answers
Prime numbers : A whole number greater than 1 that can not be made by multiplying other whole numbers Prime numbers between 1 to 100 : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97 So, The two numbers whose difference is 10 are 13 and 23 23-13=10
PLEASE HELP
SOLVE THE EQUATION USING ELIMINATION
3x+8y=-5
-2x+2y=18
Answers
X=-7 and y=2
xy(3x2 – 2y2) – yz(2y2 – 3x2) + zx(15x2 – 10y2)
Answers
Factor the expression using the GCF. 25b+50
Answers
Write an equation of a line that passes through the two given points. Your answer should be written in slope-intercept form.
P(-8,-8),q ( 0,0)
Answers
Answer:
y = x
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-8 - 0) / (-8 - 0)
-8 / -8
= 1
So, the slope is 1.
Plug in the slope and a point into y = mx + b and solve for b:
y = mx + b
-8 = 1(-8) + b
-8 = -8 + b
0 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = 1x + 0
y = x
So, the equation of the line is y = x
Give the coordinates of the point obtained from each reflection. (a) Reflect the point (-3, 7) across the y-axis: 00 (b) Reflect the point (-3, 7) across the x-axis: (01)
Answers
Answer:
a) Rule for reflection across y - axis:
(x, y) → (-x, y)(-3, 7) → (3, 7)b) Rule for reflection across x - axis:
(x, y) → (x, -y)(-3, 7) → (-3, -7)an 800 deposit for 24 months earned $200 in interest. i need to find out the rate, and total value
Answers
Answer:
rate: 8.33 dollars per month in interest. total value: $1000
Step-by-step explanation:
Answer:
rate is 8.30 and total value is 1000
Step-by-step explanation:
Solve: 12x^2+5x-4=12^2x+6
A. x = 2
B. x = –5
C. x = 2, x = –5
D. no solution
Answers
5x - 4 = 6
Add the four
5x = 10
Then divide the 5 from both sides
X = 2
Question Help
The number of kilograms of water in a human body varies directly as the mass of the body. An 87 kg person contains 58 kg of water. How many kilograms of water are
in a 78 kg person?
kg of water are in a 78 kg person
Answers
Answer:
52kg
Step-by-step explanation:
use cross multiplication method when encounter problems like these
1/3S=9
Three options
A S=3
B. S2/3
C S=27
1/3 times S=9
Answers
Answer:
C
Step-by-step explanation:
1/3S=9
multiply 3 on both sides
S=27
If you wanted to measure how much your dog weighs, which unit of measure would you use?
A: Grams
B: Meters
C: Liters
Answers
Answer:
Grams
Step-by-step explanation:
Meters is for measuring height
Litres are for measuring water
-x²-2x+7=-17 help lol
Answers
ANSWER QUICK FOR BRANLIEST PLEASEEEE!!! There are 4 packs of crayons for every 7 students. How many students can share 16
packs?
Answers
Let U = {c, d, e, f, g, h, i) and A = {c, e, h, i). Use the roster method to write the set A'.
A' =
(Use a comma to separate answers as needed.)
HELP MEEE
Answers
Given:
The universal set is
U = {c, d, e, f, g, h, i}
The other set is
A = {c, e, h, i}
To find:
The set A'
Solution:
We know that,
Complement of a set A = Universal set - set A
A' = U - A
= {c, d, e, f, g, h, i} - {c, e, h, i}
= {d, f, g}
Therefore, the set A' is A' = {d, f, g}.
MARKING BRAINLEIST IF CORRECT AND QUICK
Answers
Answer:
Step-by-step explanation:
D)
Hope that helps!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answers
Answer:
(4,0)
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
12.56
Step-by-step explanation:
The formula to find the Circumference of a circle is [tex]C=\pi D[/tex] where d is the diameter and c is the circumference.
First, calculate the diameter of the circle by multiplying the radius by 2 and substitute it in for the value of D:
[tex]C=\pi 4[/tex]
Then, multiply pi and the diameter together:
[tex]C=12.56[/tex]
Answer:
12.57
Step-by-step explanation:
trust me
what's the radius for r=13 mm?
Answers
Step-by-step explanation:
14 mm³ because the radius is this
Look at the diagram below of the pythagorean theorem. What is the area of square A?
(Will mark brainliest, please just help me)
Answers
Answer:
It could be 14M.
Step-by-step explanation:
A to B is similar length, so that is why it could be 14M.
What is the image of (-9,0) after a reflection over the x-axis?
Answers
Answer:
(-9, 0)
Step-by-step explanation:
When a point is reflected over the x-axis, the x-coordinate stays the same but the y-coordinate turns into its opposite. So, the x-coordinate would stay as -9. Because zero is neither negative nor positive, it doesn't have an opposite. So, the y-coordinate would still be 0.
Please help!! Please
Answers
what do u need help with?
Step-by-step explanation:
I'm in confusion
¯\(°_o)/¯
Write x² - 6x + 3 in the form (x-a)²+ b.
Answers
Answer:
(x + 3)² - 12
Step-by-step explanation:
x²+6x-3
= x²+ 6x + 9 - 12
= (x + 3)² - 12
The form of x² - 6x + 3 can be written as (x-3)² - 6.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given that;
Equation= x² - 6x + 3
Now,
To write x² - 6x + 3 in the form (x-a)²+ b, we can use the method of completing the square. This involves adding and subtracting a constant term to make the expression a perfect square trinomial. Here are the steps:
Write x² - 6x + 3 as x² - 6x + ___ - ___ + 3, leaving two blanks for the constant term.
To find the constant term, divide the coefficient of x by 2 and square it. In this case, -6/2 = -3 and (-3)² = 9. So we fill in the blanks with 9 and get x² - 6x + 9 - 9 + 3.
Factor the first three terms as a perfect square: (x - 3)² - 9 + 3.
Simplify the last two terms: (x - 3)² - 6.
Compare with the form (x-a)²+ b and identify a and b. In this case, a = 3 and b = -6.
Therefore, by the given equation the answer will be (x-3)² - 6.
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Find the simple interest earned on a four year CD on a deposit of $2,000.00 with an interest rate of 2.25%. Show all work.
Answers
Answer:
$2.19
Step-by-step explanation:
Answer:
I=2000×2.25%×4
I=180
A truck driver drove 13 hours and earned $520. What is the hourly rate?
Answers
Answer:
$40
Step-by-step explanation:
520/13=40
Answer:
Step-by-step explanation:
[tex]\frac{\$ 520}{13hr}=\$40/hr[/tex]
find the unit rate 39 plates in 3 stacks =plates per stack
Answers
Answer:
13 plates per stalkStep-by-step explanation:
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Answer:
13 plates in one stack.
Step-by-step explanation:
If you divide 39 (the plates) amongst the 3 stacks, you get 13.