In right triangle ABC, altitude CD with length h is drawn to its hypotenuse. We
also know AD = 12 and DB = 3.
Answers
Answer:6
Step-by-step explanation:
Similar triangles may or may not be congruent.
The value of h is 6.
The equivalent ratio of the triangles is:
\(\mathbf{h : 12 = 3 : h}\)
Express as fractions
\(\mathbf{\frac{h }{ 12} = \frac{3 }{ h}}\)
Cross multiply
\(\mathbf{h^2=36}\)
Take positive square roots of both sides
\(\mathbf{h=6}\)
Hence, the value of h is 6.
Read more about similar triangles at:
https://brainly.com/question/19739157
Related Questions
Bertha deposited $1000 into a retirement account when she was 18. How
much will Bertha have in this account after 50 years at a yearly simple
interest rate of 7.5%?
Answers
If f (x) = one-ninth x minus 2, what is ?
A.
B.
f - 1 Baseline (x) = one-ninth x + 2
f - 1 Baseline (x) = -2 x + one-ninth
Please see picture: helpppppp
Answers
Answer:
1st option
Step-by-step explanation:
let y = f(x) and rearrange making x the subject , that is
y = \(\frac{1}{9}\) x - 2 ( add 2 to both sides )
y + 2 = \(\frac{1}{9}\) x ( multiply both sides by 9 to clear the fraction )
9(y + 2) = x
9y + 18 = x
change y back into terms of x with x = \(f^{-1}\) (x) , then
\(f^{-1}\) (x) = 9x + 18
Answer: A
Step-by-step explanation:
GOT IT RIGHT ON EDG TEST
PLZ PLZ PLZ HELP ME NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
red and green
Step-by-step explanation:
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
Answer: Part A- Line red and green are parallel because there y axis coordinates and x axis coordinates are equal and on the same lines.
Part B- black and blue line are perpendicular because their coodinates are equal and form a right angle
Step-by-step explanation:
Roselyn is driving to visit her family, which live 150 150150 kilometers away. Her average speed is 60 6060 kilometers per hour. The car's tank has 20 2020 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 66 kilometers per liter. Fuel costs 0.60 0.600, point, 60 dollars per liter. How long can Roselyn drive before she runs out of fuel?
Answers
Answer:
She can go 120 km before she runs out of fuel
It will take 2 hours.
Step-by-step explanation:
150 km is the distance
60 km/ h is the speed
The gas tank is 20 liters
We can go 6 km per liter
Fuel costs .60 dollars per liter
We need to determine how far she can go on a tank of gas
20 liters * 6 km / liter = 120 km
She can go 120 km before she runs out of fuel
120 km = 60 km/ h * x hours
Divide each side by 60
120/60 = x
2 hours
Answer:
Hopes this helps!
Step-by-step explanation:
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point-slope form is y+1=3/3(x-8)
Answers
The equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.
The given coordinate are (8, -1) and (2, -5).
What is the slope of an equation?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
The slope of the equation is \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\).
The standard form of an equation is Ax + By = C.
The given the point-slope form is \(y+1=\frac{2}{3} (x-8)\).
Multiply each term by 3 of the equation.
\((y+1) \times3=\frac{2}{3} (x-8) \times3\)
⇒3y + 3 = 2x - 16
Subtract 2x from both sides of a equation.
That is, -2x + 3y + 3 = - 16
Subtract 3 from both sides of a equation.
That is, -2x + 3y = - 19
Multiply each term by - 1 from both sides of an equation.
That is, 2x - 3y = 19
Therefore, the equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.
To learn more about the slope visit:
https://brainly.com/question/3605446.
#SPJ1
If triangle ABC ≅ triangle DEF which of the following is true?
Answers
Answer:
not enough information
Step-by-step explanation:
There are no options
for any sampled population, the population of all sample means is approximately normally distributed. group startstrue or falsetrue, unselectedfalse, unselected
Answers
The given statement "For any sampled population, the population of all sample means is approximately normally distributed" is true. This is a result of the Central Limit Theorem, which states that when sample sizes are large enough, the means of all samples will be approximately normally distributed.
A sample is a smaller portion of the population that has been taken to draw conclusions about the characteristics of the population as a whole. The sample needs to be representative of the population for the data analysis to be valid.
A sample mean is a statistical analysis in which the sum of all data points in a sample is divided by the number of observations. It gives an idea of the average value of the data points in the sample population.
For any sampled population, the population of all sample means is approximately normally distributed. The central limit theorem states that when the sample size is sufficiently large, the distribution of the sample means will be approximately normal, regardless of the underlying distribution of the population.
The central limit theorem is an important concept in inferential statistics because it provides a theoretical foundation for the use of statistical inference methods to draw conclusions about population parameters based on sample statistics.
You can learn more about the sampled population at: brainly.com/question/12519158
#SPJ11
You are offered an item of $17.85 if the sellers states he normally sets the same item for $19.95 what percentage discount it he offering you?
Answers
Answer:
Discount percentage = 10.5% (Approx)
Therefore the discount is seller offering you is 10.5 % .
Step-by-step explanation:
Discount = Marked price - Selling price
As given
You are offered an item for $17.85. If the seller states he normally sells the same item for $19.95 .
Here
Marked price = $19.95
Selling price = $17.85
Discount = 19.95 - 17.85
= $2.1
\(\frac{2.1 x 100}{19.95}\)
\(\frac{210}{19.95}\)
Discount percentage = 10.5% (Approx)
Therefore the discount is seller offering you is 10.5 % .
What was the distance of the first part of yuna's swim? round to the nearest tenth as needed. the distance in the first part of her swim was miles.
Answers
Using equations we now know that the distance of the first part of the Yuna's swim is 0.7 miles.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, let 'x' be the distance of the 1st part and 'y' be the time in hours of the 1st part.
1st part: 1/4 = x/y (Equation A)2nd part: 0.8 = 1.9 - x/2 - y (Equation B)Plot the equations on the graph as follows:
(Refer to the graph attached below)
Be obtain:
x = 0.7 milesy = 0.5 hoursTherefore, using equations we now know that the distance of the first part of the Yuna's swim is 0.7 miles.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ13
The complete question is given below:
In training for a triathlon, Yuna swam 1.9 miles in the open ocean, which took her 2 hours. For the first part of her swim, she averaged 1.4 miles per hour. For the second part of her swim, she swam against the current and started to tire, so her average speed decreased to 0.8 mph. What was the distance of the first part of Yuna's swim? Round to the nearest tenth as needed. The distance in the first part of her swim was miles.
Answer:
.7
Step-by-step explanation:
Assume we have 3 boxes which contain red and black balls as follows, Box 1; 3 red balls and 7 black balls, Box 2; 6 red balls and 4 black balls, Box 3; 8 red balls and 2 black balls. suppose we draw a ball from box 1; if it is red, we draw a ball from box 2. if the ball drawn from box 1 is black, we draw a ball from box 3. a. what is the probability of red ball from box 1?. b. suppose we draw a ball from box 1 and it is red; what is the probability of another red ball when we draw from box 2 on the second round? c. suppose our first draw from box 1 was black; what is the conditional probability of our second draw from box 3 this time being red? d. Before we draw any ball; what is the probability of drawing two red balls at both draws? e. Before we draw any ball; what is the probability of drawing a red ball at first draw and a black ball at second draw?
Answers
a. The probability of drawing a red ball from Box 1 is 30%.
b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.
c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.
d. The probability of drawing two red balls at both draws, without any prior information, is 46%.
e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.
a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.
b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.
c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.
d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.
e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.
To learn more about probability click here: brainly.com/question/31828911
#SPJ11
4ft 5 ft 3ft 5ft please help me i dont know
the answer
Answers
83.2 square feet is the area of the figure.
What is Three dimensional shape?A three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure is a cone with radius 3 ft and height 5 ft.
We need to find the area of cone=A=πrl+πr²
where l is √r²+h²
A=πr(r+√r²+h²)
=π×3(3+√3²+5²)
=3π(3+√34)
=3×3.14(3+5.83)
=3×3.14(8.83)
=83.2 square feet
Hence, 83.2 square feet is the area of the figure.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ1
Tre knows that he can mow 3 lawns in two hours. Tre starts mowing on Monday and wants to complete his 20 lawns before Friday. If he wants to work an equal amount each day, how many hours will he have to work each day to mow all 20 lawns? Explain your process.
Answers
Answer: Tre wants to mow 20 lawns in 5 days, so he needs to mow 20/5=<<20/5=4>>4 lawns per day.
If Tre can mow 3 lawns in 2 hours, then he can mow 1 lawn in 2/3=<<2/3=0.67>>0.67 hours.
This means Tre will have to work 4/0.67=<<4/0.67=6>>6 hours each day to mow all 20 lawns. Answer: \boxed{6}.
Step-by-step explanation:
Plz answer this is trigonometry
Answers
Answer:
a = 47
b = 23.87
c = 90
d = 35.59
Step-by-step explanation:
I can only help this much. Not sure what the other two others below are asking
what is the answer to -z/5-37=-18
Answers
Answer:
z = -95
Step-by-step explanation:
You simplify both sides of the equation, then isolate the variable.
r is inversely proportionate to a
when r = 12 a = 1.5
work out the value of r when a = 5
work out the value of a when r = 9
Answers
Answer:
r = 3.6 , a = 2
Step-by-step explanation:
given that r is inversely proportional to a then the equation relating them is
r = \(\frac{k}{a}\) ← k is the constant of proportion
to find k use the condition when r = 12 , a = 1.5
12 = \(\frac{k}{1.5}\) ( multiply both sides by 1.5 )
18 = k
r = \(\frac{18}{a}\) ← equation of proportion
when a = 5 , then
r = \(\frac{18}{5}\) = 3.6
when r = 9 , then
9 = \(\frac{18}{a}\) ( multiply both sides by a )
9a = 18 ( divide both sides by 9 )
a = 2
Will give Brainliest!
What is the "Zero Product Property"?
Provide an example please!!
Answers
Answer:
The Zero Product Property basically means that is ab=0 , then either a=0 or b=0. (Or even both). A product of factors is zero if and only if one or more of the factors is zero.
Example: (2x-1 ) (x +4) = 0
Step-by-step explanation:
I NEED HELP ASAP I SUCK AT MATH!!!!! GIVING POINTS AND BAINLIEST!!!
Two customers went to a dry cleaner to clean their shirts and pants. Each shirt cleaning costs the same amount, and each pants cleaning costs the same amount.
The first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning.
The second customer paid $29.00 for 3 shirt cleanings and 4 pants cleaning.
What was the cost, in dollars, of each shirt cleaning?
A.$1.50
B.$2.50
C.$3.00
D.$3.25
Answers
Answer:
C.) $3.00
Step-by-step explanation:
5x + 3y = 30 - - - - - 1 x 4
3x + 4y =29 - - - - - -2 x 3
--------------------------------------------
20x +12y = 120 - - - - 3
9x + 12y = 87 - - - - - 4
--------------------------------------------
3-4
20x - 9x= 120 - 87
11x = 33
X= 33
11
X = 3
hope this helps :)
The cost, in dollars, of each shirt cleaning, is $3.00 if the first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning option (C) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Two customers went to a dry cleaner to clean their shirts and pants.
From the data given two linear equations can be framed as follows:
Let x be that each shirt cleaning costs and each pants cleaning cost the y amount.
5x + 3y = 30
3x + 4y =29
After solving the above linear equation by substitution method:
x = 3
y = 5
Thus, the cost, in dollars, of each shirt cleaning is $3.00 if the first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning option (C) is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
express in two line copy(-2)×(+3)
(with photo)
Answers
Answer:
Step-by-step explanation:
The product of a negative two and a positive three is equal to negative six (-6).
Chelsey wants to join a fitness club. The fitness club charges an intail membership fee of $55 and a monthly fee of 19.50 she has $250 to spend on a membership at the fitness club
Answers
order the values least to greatest
Answers
Answer:
9.013, 9.13, 9.1342, 9.2
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of 532,500 and a standard deviatoe of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $28.000 is a.28 b. 18 c. −18 d. 0.78
Answers
The correct answer is not provided among the options. The z-score for a sales associate earning $28,000 is approximately -201.8 based on the given mean and standard deviation.
To calculate the z-score, we use the formula:
z = (x - μ) / σ
where x is the individual data point, μ is the mean, and σ is the standard deviation.
In this case, the sales associate's salary is $28,000. The mean salary is $532,500, and the standard deviation is $2,500.
Substituting these values into the formula:
z = (28000 - 532500) / 2500
z = -504500 / 2500
z = -201.8
The z-score for a sales associate earning $28,000 is -201.8.
None of the options provided match this value.
Learn more about statistics here:
https://brainly.com/question/30915447
#SPJ11
1000 points!
Match the civilization with the region it was located in:
1. Safavid
Anatolia
2. Mughal
Iran
3. Ottoman
India
Answers
Answer:
1. iran
2. South asia
3.Anatolia
Step-by-step explanation:
hehe
Answer:
1. iran
2. South asia
3.Anatolia
Step-by-step explanation:
Suppose y varies directly as x, and y = 9 when x = 36. Find y when x= 100.
Answers
Answer:
25
Step-by-step explanation:
let x = 36
y = 9
x2 = 100
y2 = y2
y : x :: y2 : x2
We know,
Product of means = Product of extremes
That is,
y(x2) = x(y2)
Substituting the values,
9(100) = 36(y2)
=> 36(y2) = 900
=> y2 = 900/36
=> y2 = 25
so when x = 100, y =25
The sum of the base and the height of a triangle is 20 cm. Find the dimensions for which the area is a maximum.
Answers
Answer:
base = 10cm and height = 10cm
Step-by-step explanation:
base + height = 20
base = height = 20/2= 10cm
You pick a card at random. Without putting the first card back, you pick a second card at
random.
a
1 2 3 4
What is the probability of picking a 4 and then picking a divisor of 36?
Write your answer as a percentage.
Answers
The probability of picking a 4 and then picking a divisor of 36 is 16.67% .
Probability = favorable outcome/total number of outcomes
Total number of outcomes = 4
Picking a card 4 = 1
The probability of picking a 4 = 1/4
Total card left = 3
Picking a divisor of 36 i.e. 2,3 = 2
The probability of picking a divisor of 36 = 2/3
Total probability = 1/4 × 2/3
Total probability = 2/12
Total probability = 1/6
Percentage = 1/6×100
Percentage = 16.67
The probability of picking a 4 and then picking a divisor of 36 is 16.67% .
To know more about probability click here :
https://brainly.com/question/30034780
#SPJ4
Unit 7: Polygons & Quadrilaterals
Homework 4: Rhombi and Squares
Answers
Answer:
CD=28
FD=16
EF=22.978
EC=45.956
Step-by-step explanation:
hope it helps...
have a great day!!
What is the answer to 9/10x8/20? Plz I need help I forgot how to do fractions
Answers
Answer:
\(\boxed{\frac{9}{25} }\)
Step-by-step explanation:
\(9 \div 10 \times 8 \div 20\)
\(\frac{\frac{9}{10}(8) }{20}\)
\(= \frac{\frac{35}{5} }{20}\)
\(= \frac{9}{25}\)
Hope this helped you!
● Answer:
9/25
● Step-by-step explanation:
Attachment
Expand and simplify
(x + 1)(x + 2)(x + 3)
Answers
Im using my casio calculator :)
Colton is an artist and sells paintings at a local café. When he sells x paintings, his profit can be represented by the function P(x) = −200 + 30x. What is Colton's profit after selling 3 paintings? −$110 −$90 $90 $110
Answers
Colton's profit after selling 3 paintings if his profit function is P(x) = −200 + 30x is -$90. option B
ProfitProfit function:
P(x) = −200 + 30x
If Colton's sold 3 paintingsP(x) = −200 + 30x
= -200 + 30(3)
= -200 + 90
= -90
Profit = -$90
Therefore, Colton profit after selling 3 paintings if his profit function is P(x) = −200 + 30x is -$90.
Learn more about profit:
https://brainly.com/question/19104371
#SPJ1
−$110
Step-by-step explanation:
Solve for x:
\( \frac{4x + 8}{6} = \frac{2x + 3}{5} \)
SHOW WORK AND EXPLAIN PLEASE
Answers
Step-by-step explanation:
5*(4x+8)=6*(2x+3)
20x+40=12x+18
20x _12x= 18_40
8x = _22
x=_22/8
x= _11/4