Answers
Hypotenuse divided by /2 = leg
12 divided by /2
Rationalize denominator:
12 * /2 divided by by /2 * /2
Simplify denominator:
12 * /2 divided by 2
Simplify:
6 * /2 or 4.24
Both x and y because it’s a 45-45-90 triangle
Answer:
x = 6√(2)x = 6√(2)y = 6√(2)Step-by-step explanation:
Sides equal opposite to equal angles are always equal -----------<1>If one angle of triangle is 90°, then it is a right triangle, can find sides with the help of Pythagoras Theorem. -----------<2>The sum of all three sides of any triangle is 180°. -----------<3>→ Given angles of triangle = 45° + 45° + 90° {from <3>}
→ x = y {because of <1>}
→ H² = P² + B² (Pythagoras Theorem) {from <2>}
→ (12)² = x² + y²
→ 144 = x² + x² [x = y]
→ 144 = 2x²
→ 144/2 = x²
→ 72 = x²
→ √(72) = x
→ 6√2 = x
→ x = y
so,
x = 6√2 = y
x = 6√(2)y = 6√(2)HOPE THIS HELPS YOU
Follw me = 10 thanks
Mark as brainliest = 10 thanks
1 thanks to me = 2 thanks
Related Questions
Montrey recently paid off his simple interest loan. If he borrowed $6,500 for 5 years at 7%, what was the total amount he had to pay back?
Answers
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Answer:
$8,775
Step-by-step explanation:
The amount due is given by the formula ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years.
A = $6,500(1 +0.07×5) = $6,500(1.35) = $8,775
Montrey had to pay back $8,775.
Levi invested $160 in an account paying an interest rate of 3% compounded daily.
Assuming no deposits or withdrawals are made, how much money, to the nearest ten
dollars, would be in the account after 8 years?
What is the answer
Answers
Answer:
The amount is $200.00 and the interest is $40.00
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
it was the right answer on delta math
A survey was conducted to find the frequency with which people go to the movies. A group of 120 people in a mall were asked about how often they go out for a movie and It was found that 36 people go to movies at least once in a month. Which of these is an example of descriptive statistics
Answers
Answer:
30% of the people surveyed in the mall go to movies at least once in a month
Step-by-step explanation:
A descriptive statistic would refer to a summary where it explain in quantitative way from the information collected also it it is used to analyze it. The parameter and descriptive statistics would be the percentage for the surveyed people that goes to the mall for watching out the movies at least for one time in a month
Here 30% come from
= 36 ÷ 120
= 30%
How many 3/4 inch pieces can be cut from a ribbon that is 7 1/2 inches in length?
Answers
Answer:
10 pieces
Step-by-step explanation:
7 1/2 / 3/4 =
7.5 / .75 =
10 pieces
Hope that helps!
If you subtract 14 from twice a number, the result is 6. What is the number?
Answers
The equation for this statement:
2x – 14 = 6
=> 2x = 6 + 14
=> 2x = 20
=> x = 20/2
=> x = 10
8. A drug and placebo were tested on 23 people each to study their effect on cholesterol. The mean cholesterol levels with the people on the new drug are 195 and SD of 35. The values for placebo sample are 245 and SD of 31. Using 5% level of significance, does the drug have effect on lowering the cholesterol.
Answers
Answer:
The drug have effect on lowering the cholesterol.
Step-by-step explanation:
H₀ : μ₁ - μ₂ = 0
⇒ H₀ : μ₁ = μ₂
H₁ : μ₁ - μ₂ < 0
⇒H₁ : μ₁ < μ₂
Now,
given , n₁ = 23 , n₂ = 23
∴ Degree of freedom = v = n₁ + n₂ - 2
= 23 + 23 - 2 = 44
⇒v = 44
Now,
Given, level of significance = 5% = 0.05
For the given significance level, critical time t = 1.68
As
Decision rule states that'if t < 1.68 , reject H₀
Now,
For Drug:
mean = m₁ = 195
SD = d₁ = 35
People = n₁ = 23
For placebo :
mean = m₂ = 245
SD = d₂ = 31
People = n₂ = 23
Now,
Variance = [tex]\frac{(23-1)35^{2} + (23-1)31^{2} }{23 + 23 - 2}[/tex] = 1093
Standard Deviation, S = 33.06
Point estimate = m₁ - m₂ = 195 - 245 = -50
Standard deviation error = S×([tex]\frac{1}{n_{1} } + \frac{1}{n_{2} }[/tex] ) = 9.75
Now,
Test statistics = [tex]-\frac{50}{\sqrt{9.75} } = -5.13[/tex]
⇒ t < 6.13
⇒Reject H₀
⇒The drug have effect on lowering the cholesterol.
A company that advertises on websites uses the formula below to estimate the number of people who will click on one of its advertisements, where c is the number of clicks on that advertisement, t is the length of time the advertisement is displayed (in days), and d is the distance from the top of the website to the advertisement (in inches).
c = 152t - 44d
How many clicks would the company estimate to receive from its advertisement that is displayed 7 inches from the top of the website for 18 days? A. 272 B. 2,692 C. 2,428 D. 2,729
Answers
Answer:
C. 2428
Step-by-step explanation:
c=152t-44d
Its given that,
t=18, d=7
substituting
c=152(18)-44(7)=2428
Please rate brainliest
Two joggers set out at the same time from their homes 24 miles apart. They agree to meet at a point
somewhere in between in an hour and a half. If the rate of one is 6 mph faster than the rate of other,
find the rate of each.
Answers
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Answer:
5 mph, 11 mph
Step-by-step explanation:
Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...
(24 mi)/(1.5 h) = 16 mi/h
If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...
s + (s+6) = 16
2s = 10 . . . . . . . subtract 6
s = 5 . . . . . . . . . divide by 2
s+6 = 11
The rates of the joggers are 5 mph and 11 mph.
Answer:
Try reading it over
Step-by-step explanation:
Use the Rythagorean Theorem to find the length of
the leg in the triangle shown below.
13
5
Answers
Six copies of the sum of nine fifths and three
Answers
Answer: What is the complete question? Can you comment it?
Step-by-step explanation: I can’t help unless I know what the full question is. Sorry.
A spinner is divided into six equal-sized sectors labeled 1 through 6. Dwayne spins this spinner 12 times. Let X
represent the number of 1s that are spun. What are the mean and standard deviation of X?
O Wx = 1, 0x = 1.29
O x = 2,04 = 1.29
OH, = 2,0x = 1.67
O Mx = 10,0x = 2.78
Answers
Answer:
b) μ = 2 and σ = 1.29
Step-by-step explanation:
Step(i):-
Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6
Given that the probability of labelled '1'
[tex]p = \frac{1}{6}[/tex] =0.16
q = 1-p = 1- 0.16 = 0.84
Let 'X' be a random variable in binomial distribution
The mean of the binomial distribution
μ = n p
μ = [tex]12 (\frac{1}{6} ) = 2[/tex]
The mean of the binomial distribution = 2
Step(ii):-
The standard deviation of X
σ [tex]= \sqrt{npq}[/tex]
σ = [tex]\sqrt{12(0.16)(0.84}[/tex]
σ = [tex]1.269[/tex]
The standard deviation of the binomial distribution
σ = [tex]1.269[/tex]
Answer:
b
Step-by-step explanation:
Please help I need this answer ASAP
Answers
Answer:
7 granola bars
Step-by-step explanation:
560 calories in 4 bars
560/4 = 140 per bar
980/140 = 7 bars
Let f(x) = - 4x+2 and g(x) = x2 + 2.
Find (f+g)(x).
Answers
Answer:
[tex]x^{2}[/tex]-4x+4
Step-by-step explanation:
Three friends Steve, Jake and Jodie shared a pizza. Steve ate 2/5 of the pizza and Jake ate 1/4
What fraction did Jodie eat?
Answers
Therefore the total fractions they ate should add up to 1.
By letting the fraction Jodie ate be x.
x + 2/5 + 1/4 = 1
x = 7/20
The answer is 7/20.
Answer:
they ate it all together as it all adds to 1
Step-by-step explanation:
1/4+2/5 if you add the missing remainder it totals 1
pls help me look at the pic
Answers
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Answer:
(b) 540 boxes
Step-by-step explanation:
The 28 foot depth of the trailer will accommodate 18 boxes (leaving 1 ft unfilled).
The 8 1/2 foot width of the trailer will accommodate 5 boxes (leaving 1 ft unfilled).
The 9 1/6 foot height of the trailer will accommodate 6 boxes (leaving 1/6 ft unfilled).
The collection of boxes filling the trailer is 18 deep, 5 wide, and 6 high, for a total of ...
18 × 5 × 6 = 540 boxes
_____
In each case, the number of boxes that will fit is the dimension divided by the dimension of the box. The result is the integer part of the quotient. For example, ...
(28 ft)/(3/2 ft/box) = 56/3 box = 18 2/3 box . . . 18 boxes will fit
A helicopter descended 145 m to observe the density of the population during the Centennial celebration
at the Luneta. It leveled off 230 m. what is the original altitude?
Answers
Answer:
Original altitude = 375 m
Step-by-step explanation:
Given:
Current height of helicopter = 145 m
New leveled off = 230 m
Find:
Original altitude
Computation:
Original altitude = Current height of helicopter + New leveled off
Original altitude = 145 m + 230 m
Original altitude = 375 m
J.D. power and Associates calculates and publishes various statistics concerning car quality. The dependability score measures problems experienced during the past 12 months by original owners of three-year-old vehicles (those that were introduced for the 2017 model year). For these models of cars, Ford had 1.27 problems per car and Toyota had 1.12 problems per car. (Data extracted from 2013 U.S. Vehicle Dependability Study,J.D. Power and Associates, February 13, 2013, Let X be equal to the number of problems with a three -year -old Ford.
a. What assumptions must be made in order for X to be distributed as a Poisson random variable? Are these assumptions reasonable? Making the assumptions as in (a), if you purchased a Ford in the 2010 model year, what is the probability that in the past 12 months, the car had
b. zero problems?
c. two or fewer problems?
d. Give an operational definition for problem. Why is the operational definition important in interpreting the initial quality score?
Answers
Answer:
0.281 ; 0.864
Step-by-step explanation:
1.)
p decreases as n increases (n increases, p--> 0)
λ ≥ 0
P(x = x) = (e^-λ * λ^x) ÷ x!
λ for Ford = 1.27
B) zero problems :
P(x = 0) :
(e^-1.27 * 1.27^0) ÷ 0! = 0.281
P(x = 0) = 0.281
Two or fewer problems :
P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x ≤ 2) = 0.281 + 0.357 + 0.226
P(x ≤ 2) = 0.864
D.) It allows for early detection and thus adequate curtailment of the problem at an a stage in which it seems easier to curb.
Missy read 1/12 of a book by Monday 1/4 of the book by Tuesday and 5/12 of the book by Wed. if the pattern continues how much of the book will she have read by Fri. draw a chart or explain
Answers
Answer:
part A:
1/12 on day 1
1/4 or 3/12 on day 2
5/12 on day 3
Missy read 2/12 or 1/6 every day
Part B:
if day 1 is 1/12 and Friday is day 5 and she reads 2/12 per day
2/12 * 4 = 8/12
so 1/12 + 8/12 = 9/12 or 3/4 by Friday
Answer:
Monday: 1/12
Tuesday: 3/12
Wednesday: 5/12
Step-by-step explanation:
STICK EM UP! or I will have to shoot.
Answers
81^3x÷3^4x=729 solve for x
Answers
Answer:
Step-by-step explanation:
x=45816 , 1.89552335
Answer:
Answer:
x=0.333333,−0.333333
Step-by-step explanation:
(813)(x) /3^4
x=729
Simplifies to:
6561x2=729
Let's solve your equation step-by-step.
6561x2=729
Step 1: Divide both sides by 6561.
6561x^2 /6561 = 729 /6561
x2= 1 /9
Step 2: Take square root.
x=±√ 1 /9
x=0.333333,−0.333333
PLEAAASE HELPP that would be very much appreciated
Answers
Answer:
h(x) = (x + 4)^2 - 2
Step-by-step explanation:
Start with the red graph: f(x) = x^2
First we move the entire graph 4 units to the left. The resultant function is g(x) = (x + 4)^2.
Next, we move this latest graph 2 units down. The resultant function (and answer to this question) is h(x) = (x + 4)^2 - 2
Triangle R Q S is cut by line segment T V. Line segment T V goes from side Q R to side R S. The length of R V is x + 10, the length of V S is x, the length of R T is x + 4, and the length of T Q is x minus 3. Which value of x would make Line segment T V is parallel to Line segment Q S?
PLEASE HURRY
Answers
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Answer:
x = 10
Step-by-step explanation:
In order for TV to be parallel to QS, it must divide the sides of the triangle proportionally.
RT/TQ = RV/VS
(x+4)/(x-3) = (x+10)/(x)
1 +7/(x-3) = 1 +10/x . . . . expand each fraction
7/(x -3) = 10/x . . . . . . . . subtract 1
7x = 10(x -3) . . . . . . . . . cross multiply
30 = 3x . . . . . . . . . . . . add 30-7x, simplify
10 = x . . . . . . . . . . . . . . divide by 3
The value of x that makes the segments parallel is 10.
_____
Alternate solution
You can cross multiply the first fraction we wrote to get ...
x(x +4) = (x -3)(x +10)
x^2 +4x = x^2 +7x -30 . . . eliminate parentheses
30 = 3x . . . . . . subtract x^2+4x-30 from both sides
Answer: C. 10
Step-by-step explanation:
i got it right on the test
Answer this pleaseee
Answers
Answer:
do i need to answer them all
Step-by-step explanation:
what is the fraction for ⅜
Answers
Answer:
3/8 % = 37.5 %
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
For the sequence tn=n^2-2n,find the third term
Answers
Answer:
t₃ = 3
Step-by-step explanation:
To find the third term substitute n = 3 into the formula, that is
t₃ = 3² - 2(3) = 9 - 6 = 3
Answer:
tn=n^2-2n
n =3
t3 = 3^2 -2(3)
t3 = 9-6
t3 = 3
PLS I NEED HELP: Which one of the following is an exponential growth function?
A. y = (1.5)^x
B.y = (2/3)^x
C. y = (1/2)^x
D. y = (0.5)^x
Answers
Jim buys a vase. The diameter of the vase is 14 cm. What is the circumference?
Answers
Step-by-step explanation:
To find circumfrence you use the equation:
[tex]C=2\pi r[/tex]
Since you were given the diameter so you divide by half to get the radius.
14/2 = 7
your radius is 7 and all you do is plug into the equation
[tex]C=2\pi 7[/tex]
C= 43.98 or 44 rounded
Answer:
To find circumfrence you use the equation:
Since you were given the diameter so you divide by half to get the radius.
14/2 = 7
your radius is 7 and all you do is plug into the equation
C= 43.98 or 44 rounded
Step-by-step explanation:
3x+4y=11 x-2y=2 solve the system of equations
Answers
4.667
Step by step explanation
1.1 Solve 14x-3y+2=0
HELP PLS its advanced pre algebra grade 7
Answers
Answer:
x=4
Step-by-step explanation:
3/4(x+8)=9
simplify
3/4x+6=9
-6 -6
3/4x=3
multiply 4
3x=12
divide 3
x=4
Which expression is equivalent to , if y > 0?
A.
B.
C.
D.
Answers
Answer:
D. 126y²Step-by-step explanation:
Given expression:
3[tex]\sqrt{2y^3}[/tex]· 7[tex]\sqrt{18y}[/tex]Simplify:
21 [tex]\sqrt{2*18*y^{3+1}}[/tex] = 21[tex]\sqrt{36y^4}[/tex] = 21(6y²) = 126y²Correct choice is D
Answer:
D. 126y²
Step-by-step explanation: