Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC= 10 and DC = 4, what is the length of AC? (Note: the figure is not drawn to scale.)
Answers
Answer:
AC = 25 units
Step-by-step explanation:
Length of BC = 10 units
Length of DC = 4 units
We will use geometric mean theorem in the given right triangle to get the length of side AC.
[tex]\frac{\text{Hypotenuse}}{\text{leg}}=\frac{\text{leg}}{\text{Projection}}[/tex]
[tex]\frac{AC}{BC}=\frac{BC}{DC}[/tex]
[tex]\frac{x}{10}=\frac{10}{4}[/tex]
x = [tex]\frac{10\times 10}{4}[/tex]
x = 25 units
Related Questions
Goran is on his way home in his car. He has driven 12 miles so far, which is two-thirds of the way home. What is the total length of his drive?
Answers
Answer:
2/3 = 12
12/2 = 1/3
1/3 = 6
3/3 = 3x6
Whole drive = 18miles
Hopefully this helps
yo can anyone tell me a expression with two terms, one variable and one coefficient. please ty.
Answers
Answer:
We conclude that the required expression with two terms, one variable, and one coefficient will be:
[tex]3x+4[/tex]Step-by-step explanation:
Consider the expression
[tex]3x+4[/tex]
Terms:
We know that a term is a single mathematical expression. The expression has two terms which are:
3x4Variable:
The expression has one variable which is:
xCoefficient:
We know that the coefficient is the number part of the term with a variable. Thus, the coefficient of the term 3x has one coefficient which is:
3Therefore, we conclude that the required expression with two terms, one variable, and one coefficient will be:
[tex]3x+4[/tex]To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.
Which equations could you use to find the price of one tire patch? Select all that apply.
4x – 1.9 = 22.2
4x – 22.2 = 1.9
4x + 1.9 = 22.2
4x + 22.2 = –1.9
22.2 – 4x = 1.9
Answers
Answer:
1 and 4 I think pretty sure I think
Answer:
C and E
Step-by-step explanation:
The person up top gave me the wrong answer so I am putting the rite one.
A. is incorrect
B. is incorrect
C. is correct
D. is incorrect
E. is correct
Plz mark brainlyest so I can level up.
Plz help I am failing
Answers
Answer:
the slope is 1
Step-by-step explanation:
Answer:
the slope is undefined!! vertical lines don't have an exact slope!
Step-by-step explanation:
Jacob and Melissa both collect baseball cards. Let J represent the number of cards that Jacob has. Melissa has 5 fewer cards than Jacob. Write an expression that shows how many cards they have together.
Answers
Answer: 2J - 5
Step-by-step explanation:
The number of cards that Jacob has = J
Melissa has 5 fewer cards than Jacob. Melissa card will be: = J - 5
The expression that shows the number of cards they have together will be gotten by adding their cards together. This will be:
= J + (J - 5)
= J + J - 5
= 2J - 5
Use the second list of random numbers to again calculate the experimental probability of a group having at least three
girls. The results using the second list are
____
10%
____
the results using the first list.
Answers
sorry if im too late but the answer is, -
The results using the second list are
less than
10%
lower than
the results using the first list.
PLZ GIVE BRAINLIEST <3
Simplify
1+3^2⋅2−5
-48
14
15
27
Answers
Answer:
14
Step-by-step explanation:
my dad is a math teacher so I am good at math
Answer:
14!
Step-by-step explanation:
Please does anyone know how to solve this I’m am very confused, thank u so much!
Answers
So the two angles adjacent to it add up to be equivalent to 90 so x+7 is half of 90 so x+7=45
X=38
Evaluate the expression for the given value of the variables.
0.9c- 2.7d
c=13, d=2
0.9c- 2.7d= (Type an integer or a decimal.)
Answers
11.7-5.4
=6.3
Plz help with c and d I don’t understand:((
Answers
Answer:
Step-by-step explanation:
how is it.?
What is the probability of the spinner landing on 2?
A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
StartFraction 1 over 8 EndFraction
One-fourth
One-third
One-half
Answers
Answer:
One-fourth
Step-by-step explanation:
one in four chance
or
one-fourth of the parts are marked with a four
Answer:
I just wanted to confirm that it is indeed 1/4 it was my last question
Step-by-step explanation:
hope this helps!
convert the recurring decimal 2.1363636 to a mixed number
Answers
Answer:
2 + 57/550
Step-by-step explanation:
9514 1404 393
Answer:
2 3/22
Step-by-step explanation:
Multiply by 100.
213.6363...
Subtract the original.
213.6363... -2.1363... = 211.5
Divide this by 99.
211.5/99 = 2115/990 = 2 135/990 = 2 3/22
_____
The original number you multiply by is 10^n, where n is the number of repeating digits. Then the number you divide by is (10^n -1). Here, those values are 100 and 99, because there are 2 repeating digits.
The following table shows the speeds at which Jeff does
4
activities. For example, biking has a rate of
19
miles in
2
hours.
Activity Miles Hours
Biking
19
2
Walking
14
4
Running
15
3
Swimming
18
4
Which type of activity does Jeff do at a speed of
4.5
miles per hour?
Choose 1 answer:
(Choice A)
A
Biking
(Choice B)
B
Walking
(Choice C)
C
Running
(Choice D)
D
Swimming
Answers
Answer:
Its D
Step-by-step explanation:
Complete the square to rewrite y = x– 5x + 7 in graphing form and state the
vertex.
Answers
Answer:
Slope = -4
Y-intercept= (0,7)
Step-by-step explanation:
There are 3 blue marbles and 7 red marbles what is the ratio for red to blue?
Answers
Pls help and explain I will give 10 points :(
Answers
k=13t-2
=13*3-2
=39-2
37
the answer is 37 k = 37
13 t -2 t=3
13(3) -2. if a number is in parentheses it is automatically. multiplying the number next to it
13x3 = 39
39-2 =37
An employee works 40 hours a week at a shop and
makes $20 per hour. He lives in Utah where income
tax is a flat 5% no matter how much money you make.
How much of his money goes to taxes? How much of
his money does he keep?
Answers
Answer:
He gets $760 and $40 go to taxes
Step-by-step explanation:
Answer:
The answer is
$40 of tax
$760 left
Step-by-step explanation:
PLEASE I NEED HELP NOW DONT EVEN TRY AND ANSWER IF YOU DONT KNOW
Answers
Step-by-step explanation:
Polynomial 1:
6x²+2x-3x-1=6x²-x-1
Simplified form =6x²-x-1. Name by degree is quadratic. Name by terms is trinomial
Polynomial 2:
7x²+3x-7x²+4=3x+4. Name by degree is linear.Name by terms is binomial
polynomial 3:
20x²-36x+28-20x²+36x-26
=2.
Name by degree is constant
-8d - 5d +7d=72 what is the answer i am completely lost
Answers
Answer:
d=-12
Step-by-step explanation:
hope this helps!
A scale model of a lighthouse has a scale of 1 in. : 8 ft. The scale model is 20 inches tall. How tall is the lighthouse?
Answers
Answer:
I do believe that the lighthouse is 160 feet tall.
Step-by-step explanation:
I do believe this is the right answer. Hope this helps you!
The required height of the lighthouse is given as 160 ft tall.
Given that,
A scale model of a lighthouse has a scale of 1 in. : 8 ft. The scale model is 20 inches tall.
The scale factor is defined as the ratio of the modified change in length to the original length.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
here,
scale factor = 1 / 8 in per ft
Now,
The actual length of the lighthouse = 20 / [1 / 8]
= 20 × 8 = 160 ft
Thus, the required height of the lighthouse is given as 160 ft tall.
Learn more about Scale factors here:
https://brainly.com/question/22312172
#SPJ2
It takes Roberto eight hours longer than Paula to repair a transmission. If it takes three hours to do the job if they work together, how long will it take each of them working alone?
Answers
Answer:
Paula = 4 hours
Roberto = 12 hours
Step-by-step explanation:
Time taken by Paula = x
Time taken by Roberto = x +. 8
Paula's rate = 1/x
Roberto's rate = 1/(x + 8)
Combined rate = 1/3
Time it takes each if them working alone ;
Paula's rate + Roberto's rate = combined rate
1 /x + 1 / (x +8) = 1/3
Take the L. C. M
((x+8) + x) / x(x+8) = 1/3
(2x + 8) / x(x + 8) = 1/3
3(2x + 8) = x(x + 8)
6x + 24 = x² + 8x
x² + 8x - 6x - 24 = 0
x² + 2x - 24 = 0
Solving the quadratic equation :
x² + 6x - 4x - 24 = 0
x(x + 6) - 4(x + 6) = 0
(x - 4) = 0 or (x + 6) = 0
x = 4 or x = - 6
Time taken cannot be negative
Hence, x = 4
Hence, working alone, it takes ;
Time taken by Paula = 4
Time taken by Roberto = 4 + 8 = 12
what is 5% of $150 dollars?
Answers
Answer:
$7.50
Step-by-step explanation:
Divide the original price by 5
Solve this system of equations.
3x + 4y = 36
y=-2 +8
Answers
Answer:
( X, y [tex] = (x.y) ( - \frac{4?}{?3} = 10)[/tex]Standard form [tex]3 \times + 4y = 36 \\ y = 10[/tex]
a)
Write the ratio
14:56
in its simplest form.
Answers
Answer:
1:4
Step-by-step explanation:
The greatest common factor of both of the numbers is 14, so you divide both numbers by 14:
14 ÷ 14 = 1
56 ÷ 14 = 4
1 : 4
hope this helps :)
Please help me!!! This is due at 11:59pm
Find an input that yields an output of -49.
Rule: y = -12x + 47
Answers
Answer:
Step-by-step explanation:
they are saying when -49 = -12x +47 what is x
so solve for x
-49-47 = -12x
-96 = -12x (b/c there are two negative signs they cancel out )
[tex]\frac{96}{12}[/tex] =x
8 = x
:) so when you input an 8 you get out a -49
Someone Help? Im confuzzled
Answers
Answer: 16π
Step-by-step explanation:
First, solve for total area:
A = πr^2
A = π(8^2) = 64π
Then, find 1/4 of the area of the whole (since this is only a quarter circle)
A/4 = (64π)/4 = 16π
1. 1*1/6=___
2. 9*7/10=___
3. 7*4/8=___
4. 1/2 of 2 =____
5. 1/12 of 1 =___
6. 2/6 of 2 =___
7. 1/3 of 5 =___
8. 3/10 of 8 =____
Answers
Step-by-step explanation:
1. 1*1/6= 1 /6=1.67
2. 9*7/10= 63/10= 6.3
3. 7*4/8= 28/8= 3.5
4. 1/2 of 2= 1/2*2= 0.5*2= 1
5. 1/12 of 2= 1/12*2= 8.33*2= 16.66
6.2/6 of 2= 2/6*2= 3.33*2= 6.66
7. 1/3 of 5= 1/3*5= 3.33*5= 16.65
8. 3/10 of 8= 3/10*8= 0.3*8= 2.4
Hope it's help you ♥️
3, 6, 9, 12
Which number is not like the others? Justify your choice.
Answers
Answer:
12
Step-by-step explanation:
12 is a two digit #
Answer:
first of all there are many ways to compare numbers. example
the digit they havethe pattern they havethere amountI don't know how to compare them but I try my best
Step-by-step explanation:
the first 3 numbers have only one digit but the 4th has 2 digits.but it in my opinion you don't want this answer.
so this is not the reason
3 have 2 factor
6 have 4 factor
9 have 3 factor
12 have 5 factors
so as the number increase the factors should increase but 9 has less factors than 6 .so I think 9 is the different one
Subtract: (-3x - 2) - (7x + 9)
Answers
Answer:
- 10x - 11
Step-by-step explanation:
- 3x - 2 - 7x - 9
- 3x - 7x - 2 - 9
= - 10x - 11
hope it helps!
Using the same dilation factor of 1.5, what are the coordinates of the image of the third vertex, (–2, 4)?
Answers
Answer:
(-3,6)
Step-by-step explanation:
I got it correct on Compass learning 2022
Answer:
(-3,6)
Step-by-step explanation:
