The proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3
Triangular altitutude theoremAccording to the theorem, the ratio similar sides of a right triangle are equal. From the given diagram, we are to determine the proportion satisfies the geometric mean (altitude) theorem for the triangle.
Taking the ratio of the base to the height, we will have:
MK/KL = KL/KN
Substitute the measure of the sides
2/h = h/3
Hence the proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3
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Answer:
its D, 2/h = h/3
Step-by-step explanation:
How many arrangements are there of the letters in the word "greet?"
x^2+11x+28/x^2+5x+4 simplify expression
Answer:
(x + 7)/(x + 1)
Step-by-step explanation:
Simplify the following:
(x^2 + 11 x + 28)/(x^2 + 5 x + 4)
The factors of 4 that sum to 5 are 4 and 1. So, x^2 + 5 x + 4 = (x + 4) (x + 1):
(x^2 + 11 x + 28)/((x + 1) (x + 4))
The factors of 28 that sum to 11 are 7 and 4. So, x^2 + 11 x + 28 = (x + 7) (x + 4):
((x + 4) (x + 7))/((x + 4) (x + 1))
((x + 7) (x + 4))/((x + 4) (x + 1)) = (x + 4)/(x + 4)×(x + 7)/(x + 1) = (x + 7)/(x + 1):
Answer: (x + 7)/(x + 1)
Next time write the expression how it needs to be, the way you wrote it woould have given a toally different result.
x^2 + 11 x + 28/x^2 + 5 x + 4
Answer:
solving this as you would in algebra 2:
x2+11x+28 / x2+5x+4 = x+7 / x+1
Step-by-step explanation:
solving this as you would in algebra 2:
x2+11x+28 / x2+5x+4
1. on both the top and the bottom you have to find a factor of the last number (in this case 28 and 4) that multiplys to be the number but adds to be the 2nd term (11x and 5x)
2. for the top the two terms would be (x+7) and (x+4). on thebottom half it would be (x+4) and (x+1)
** 7 times 4 equals 28, 7 plus 4 equals 11; 4 times 1 equals 4, 4 plus 1 equals
3. x+4 is common term on both the top side and the bottom half so you cross it out. this leaves us with our answer of: x+7 over x+1
hope this helps:)
What's the answer to this question? 4*(5t+1)/5
Answer:
[tex]\boxed{\sf{4t+\dfrac{4}{5} }}[/tex]Step-by-step explanation:
In order to solve this, you must use the distributive property.
[tex]\sf{\dfrac{4\left(5t+1\right)}{5}}[/tex]
Distributive property:
⇒ A(B+C)=AB+AC
⇒ 4(5t+1)
Multiply by expand.
4*5t=20t
4*1=4
Rewrite the problem down.
20t+4
20t+4/5
[tex]\text{FRACTION RULES: }\\\\\\\Longrightarrow: \sf{\dfrac{A\pm \:B}{C}=\dfrac{A}{C}\pm \dfrac{A}{C}}[/tex]
[tex]\Longrightarrow: \sf{\dfrac{20t+4}{5}=\dfrac{20t}{5}+\dfrac{4}{5}}[/tex]
You have to divide the numbers from left to right.
⇒ 20/5=4
[tex]\Longrightarrow: \boxed{\sf{4t+\dfrac{4}{5} }}[/tex]
Therefore, the correct answer is 4t+4/5.Answer:
[tex]4t + \frac{4}{5}[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]\frac{4(5t + 1)}{5}[/tex]
[tex]\frac{(4 * 5t) + (4 * 1)}{5}[/tex]
[tex]\frac{20t + 4}{5}[/tex]
Step 2: Isolate the numerator into two fractions
[tex]\frac{20t +4}{5}[/tex]
[tex]\frac{20t}{5} + \frac{4}{5}[/tex]
[tex]4t + \frac{4}{5}[/tex]
Answer: [tex]4t + \frac{4}{5}[/tex]
need help 20 points and brainliest
Answer:
The smallest Number of ppl who bought banana's, number of kids at the park, number of ppl who landed at airport and the biggest is the number of residence in the usa
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A newly formed life insurance company has underwritten term policies on 120 women between the ages of forty and forty-four. Suppose that each woman has a 1/150 probability of dying during the next calendar year, and that each death requires the company to pay out $50,000 in benefits. Approximate the probability that the company will have to pay at least $150,000 in benefits next year
The probability that the company will have to pay at least $150,000 in benefits next year is 0.047 if the there are 120 women.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
The probability of dying:
P(dying) = 1/150
P(living) = 1 - P(dying) = 1 - 1/150 = 140/150
There are 120 women.
P(x≥3) = 1 - [P(x=0) +P(x=1) + P(x=2)]
[tex]\rm P(x\geq 3)=1-[(120 \ choose \ 0)(1/150)^0)((149/150)^{120})+[/tex]
[tex]\rm (120 \ choose \ 1) ((1/150)^1) ((149/150)^{119}) +[/tex]
[tex]\rm (120 \ choose \ 2)((1/150)^2)((149/150)^{118})][/tex]
P(x≥3) = 0.047
Thus, the probability that the company will have to pay at least $150,000 in benefits next year is 0.047 if the there are 120 women.
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In a survey of 800 people, 42% said they shopped online last week. How many people said they shopped online last week?
336
explanation:
percent. part
_______ = _____
100. whole
42. ?
____ = ____
100. 800
cross multiply
800×42=33,600
then divide by 100
33,600/100=336
Answer:
336
Step-by-step explanation:
If 42% said they shopped online last week, that means the number of people who said they shopped online last week is 42% of 800. "Of" just means we should multiply, and since 42% = 42/100 (since % is just /100), we can use the following to find the answer (I used cross multiplication to simplify):
42 800 42 8
--- * = ---- * = 336
100 1
Show your work to earn full credit.
Jenae goes to the mall to buy a jacket. A store is having a sale for 30% off the original price of the jacket. Jenae also has a $10 off coupon she will use to make the purchase. The expression below can be used to find her final price for a jacket with an original price of p dollars.
0.7p - 10
The jacket she decides to purchase has an original price of p=$87.99. What is the final price of the jacket Jenae is buying?
Answer:
$51.60
Step-by-step explanation:
This is essentially substitutionI have found that shops tend to round up the .99, so I will work with $880.7 × 88 - 10 = $61.60 - 10 = $51.60An exam will have 20 questions worth a total of 100 points. There will be true-false questions worth 3 points each and short answer worth 11 points each. The students want to know how many of each type there will be on the test. The teacher won't tell. How many short answer questions are there?
Answer:
4 true false and 8 short answer
Or 15 true false and 5 short answer
Or 26 true false and 2 short answer
Step-by-step explanation:
let x be the number of true-false questions
y be the number of short-answer questions
Then we have to solve the equation 3x + 11y = 100
Important: x and y are natural numbers
3x + 11y = 100 ⇔ 100 - 11y = 3x
If y=10 ⇒ 100 - 11×10 = −10 = 3x impossible because x ≥ 0
If y=9 ⇒ 100 - 11×9 = 1 = 3x impossible because x is a natural number
If y=8 ⇒ 100 - 11×8 = 12 = 3x ⇒ x = 12/3 = 4
Then (x,y) = (4,8) is a solution to the equation
If y=7 ⇒ 100 - 11×7 = 23 = 3x impossible because x is a natural number
If y=6 ⇒ 100 - 11×6 = 34 = 3x impossible because x is a natural number
If y=5 ⇒ 100 - 11×5 = 45 = 3x ⇒ x = 45/3 = 15
Then (x,y) = (15,5) is a solution to the equation
If y=4 ⇒ 100 - 11×4 = 56 = 3x impossible because x is a natural number
If y=3 ⇒ 100 - 11×3 = 67 = 3x impossible because x is a natural number
If y=2 ⇒ 100 - 11×2 = 78 = 3x ⇒ x = 78/3 = 26
Then (x,y) = (26,2) is a solution to the equation
If y=1 ⇒ 100 - 11×1 = 89 = 3x impossible because x is a natural number
If y=0 ⇒ 100 - 11×0 = 100 = 3x impossible because x is a natural number
What is the slope of the line?
Answer:
[tex]-\frac{2}{3} x[/tex]
Step-by-step explanation:
Hey there!
To find slope, you take [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case
y2: 6
y1: 4
x2: -3
x1: 0
Now we plug in this information
[tex]\frac{6-4}{-3-0} \\\\\frac{2}{-3} \\\\-\frac{2}{3}[/tex]
Since this is the slope, you have to add a "x"
So, the slope is [tex]-\frac{2}{3} x[/tex]
Maëlys veut installer une étagère à 60 cm du sol.
Pour vérifier que son installation est bien horizontale,
elle installe une corde à 30 cm au-dessus de l'étagère et
la tend jusqu'au sol afin d'être alignée avec le bord de
l'étagère. Elle arrive à 1,20 m du mur. La distance entre le
point d'attache et l'extrémité de l'étagère est de 50 cm.
l'installation de Maëlys est-elle bien horizontale ?
The group wants to travel from its current location on the map to the South Pole, and then directly back to the base camp. How many miles will they have to travel? Explain your answer.
Using the Pythagorean Theorem, it is found that the group will have to travel 90 miles.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem:
First, the group travels 5 x 5 = 25 miles to the south pole.Then, the distance to the camp is the hypotenuse of a right triangle with sides of 25 miles and of 12 x 5 = 60 miles, hence:[tex]d^2 = 25^2 + 60^2[/tex]
[tex]d = \sqrt{25^2 + 60^2}[/tex]
d = 65.
The total distance is given by:
Td = 25 + 65 = 90 miles.
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342.5 divided by 34.25
Which relationships describe angles 1 and 2?
Select each correct answer.
vertical angles
adjacent angles
complementary angles
supplementary angles
2
Answer:
They are adjacent and supplementary
Step-by-step explanation:
give the answer
the areaaaaaa
Answer:
16
Step-by-step explanation:
The figure shown is a trapezoid
Area of a trapezoid = 1/2(bottom base length + top base length) × height
Bottom base length = 7 units
Top base length = 1 unit
Height = 4 units
So area = 1/2 ( 7 + 1 ) × 4
==> add 7 and 1
Area = 1/2 (8) × 4
==> multiply 1/2 and 8
Area = 4 × 4
==> multiply 4 and 4
Area = 16
Somebody please help
Answer:
IM FROM THE FUTURE :3
Step-by-step explanation:
the answer is -6 8-
i think 3:
Two trains leave a station going in opposite directions. The northbound train averages 87 miles per hour. The southbound train averages 113 miles per hour. How long will it take for the trains to be 600 miles apart?
Answer:
It takes 3 hours for the train to be 600 Miles apart
Refer to the article "The Future of Money" in your Money, Money, Money magazine for a complete version of this text.
What is the overall structure of the "Pros and Cons of Cryptocurrency" section of "The Future of Money"?
It contrasts positive aspects of cryptocurrency with negative aspects of cryptocurrency.
It uses comparison to show differences between digital currency and traditional currency.
It explains how advances in computer and phone technologies created a need for cryptocurrency.
It uses reasons and evidence to support opinions about the future of cryptocurrency
The general structure of this section of the text is to describe both positive and negative aspects of cryptocurrency.
What is "The Future of Money about"?This is a text that describes the recent evolution of money into more modern forms as well as possible ways money might evolve.
What is the section "Pros and Cons of Cryptocurrency" about?This section focuses on the pros (advantages) and cons (disadvantages) of cryptoccurency. Due to this, the section follows a contrasting structure to show negative and positive aspects.
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Answer:
It contrasts positive aspects of cryptocurrency with negative aspects of cryptocurrency.
Step-by-step explanation:
i hope this help anyone that see this :D
Jane has a piece of wood in the shape of a right rectangular prism. She cuts out 44 identical square holes in the wood. What is the surface area of the piece of wood after she cuts it?.
How many times larger is the 5 in 528, 394 as in 352, 107?
A. 5 times as large as
B. 10 times as large as
C. 50 times as large as
D. 100 times as large as
E. 500 times as large as
Answer: B 10 Times large
Step-by-step explanation:The first 5 is 500,000 And the second 5 is 50,000
500,000÷ 50,000= 10
I really need help, Giving 100 points!!!!!!
1. Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of 20.75% per month. How many months will it take for the farm to triple in size? **Must solve using log/ln method**
2. Convert the following functions.
(a) Convert the exponential function, 12x^4y^3z^6 , to its corresponding logarithmic function.
(b) Write the log form from Part A into the expanded log form. **expression must be fully expanded for
Answer:
Step-by-step explanation:
1) 3 = (1.2075)^n where n = number of months take log of both sides
log 3 = n log 1.2075
log3 / log1.2075 = n = 5.82 months
Solve for x.
3x² -10 = -5
Answer:
first one is the correct answer
Can someone help me please!!?
Answer:
AB = 21
Step-by-step explanation:
the line EB is parallel to the side of the triangle DC and intersects the other 2 sides proportionally , that is
[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] ( substitute values )
[tex]\frac{14}{12}[/tex] = [tex]\frac{AB}{18}[/tex] ( cross- multiply )
12 AB = 14 × 18 = 252 ( divide both sides by 12 )
AB = 21
Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio. 4, 13/3, 14/3, 5, 16/3, …
Answer:
sequence is arithmetic
Step-by-step explanation:
An arithmetic sequence has a common difference between consecutive terms.
A geometric sequence has a common ratio between consecutive terms.
given
4 , [tex]\frac{13}{3}[/tex] , [tex]\frac{14}{3}[/tex] , 5 , that is
[tex]\frac{12}{3}[/tex] , [tex]\frac{13}{3}[/tex] , [tex]\frac{14}{3}[/tex] , [tex]\frac{15}{3}[/tex] , then
[tex]\frac{13}{3}[/tex] - [tex]\frac{12}{3}[/tex] = [tex]\frac{14}{3}[/tex] - [tex]\frac{13}{3}[/tex] = [tex]\frac{15}{3}[/tex] - [tex]\frac{14}{3}[/tex] = [tex]\frac{1}{3}[/tex]
there is a common difference d = [tex]\frac{1}{3}[/tex] between consecutive terms
thus the sequence is arithmetic
help pls due in 5 minutes
Answer:
D
Step-by-step explanation:
[tex]2(\frac{7\times 6}{2})+3(13.1\times 7)[/tex]
ANSWER IS D
Triangle ABC is a right triangle and cos(22.6o)=StartFraction b Over 13 EndFraction. Solve for b and round to the nearest whole number.
Triangle A B C is shown. Angle A C B is 90 degrees and angle C A B is 22.6 degrees. The length of hypotenuse A B is 13 centimeters, the length of A C is b, and the length of C B is a.
Which equation correctly uses the value of b to solve for a?
tan(22.6o) = StartFraction a Over 13 EndFraction
tan(22.6o) = StartFraction 13 Over a EndFraction
tan(22.6o) = StartFraction a Over 12 EndFraction
tan(22.6o) = StartFraction 12 Over a EndFraction
Answer:
C just took the test
Step-by-step explanation:
have a good rest of your day
Answer:
c. tan(22.6o) = StartFraction a Over 12 EndFraction
a tuba creates a 4th harmonic of frequency 116.5 hz what is the length of the pipe in the tuba
Since the tuba creates a 4th harmonic of frequency 116.5 hz, the length of pipe in tuba is 6.57 m
Since the tuba is an closed-pipe instrument, we need to find the frequency of a closed pipe
What is the frequency of an closed pipe?The frequency of a closed pipe f = nV/4L where
n = harmonic V = speed of sound and L = length of pipe in tubaLength of pipe in tubaMaking L subject of the formula, we have
L = nV/4f
Since the tuba creates the 4th harmonic with frequency 116.5 Hz.
n = 9 and f = 116.5 HzSubstituting the values of the variables into the equation, we have
L = nV/4f
L = 9 × 340 m/s/4 × 116.5 Hz
L = 3060 m/s ÷ 466 Hz
L = 6.57 m
So, the length of pipe in tuba is 6.57 m
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Answer:
5.88
Step-by-step explanation:
correct on acellus
One limitation of the Chi Square test (and all tests of hypothesis) is that they cannot tell us if relationships between variables are:_________ A. significant B. random C. by chance D. none of the above
The answer to the limitation of the Chi Square test (and all tests of hypothesis) about relationships between variables is none of the above.
What is the limitation of the chi square test?The Limitation of this type of test is in its sample size requirements, as there is a lot of difficulty of interpretation when samples are large.
Note that Chi Square test and all tests of hypothesis can tell us if relationships between variables are significant, random and also if it occurred by chance and as such they are no limitations here.
Therefore, option d is correct.
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Julia made 7 batches of cookies and ate 3 cookies. There were 74 cookies left. Which expression can be used to determine the average number of cookies per batch?
A=74/4
B=(74+7)/3
C=(74+3)/7
D=74/3*7
Answer:
C
Step-by-step explanation:
She ate 3, so originally 77 cookies. Divide that by 7 batches, which is the equivalent to C
LeAnn is playing a math game. She chooses three cards. The value of each of her cards is shown.
First card: -12
Second card: 3
Third card: -5
What is the sum of the values of LeAnn’s three cards?
Answer:
-14
Step-by-step explanation:
The sum (addition) of the three numbers would be -14 because -12+-5 is -17. Then, -17+3 would be -14.
Four lines meet at a point. The sun of three of the angles at the point is 267. The size of the other angle is
Answer: 93
Step-by-step explanation: