Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 18
and AC 36, what is the length of AD?
A
D
36
18
B
Answers
Answer:
8 is the length
Step-by-step explanation:
The length of AD is 9 units from the given right triangle ABC.
What is a right triangle?A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.
Given right triangle ABC with altitude BD drawn to hypotenuse AC.
Given that, AB = 18 and AC = 36
Using Pythagoras theorem
AC²=AB²+BC²
⇒ 36²=18²+BC²
⇒ BC²=1296-324
⇒ BC²=972
⇒ BC=31.18 units
We know that, area of a triangle =1/2 × Base × Height
= 1/2 × 31.18 × 18
= 280.62 square units
Now, area of a triangle ABC with base AC and height BD
That is, Area = 1/2 ×36×BD
⇒ 18BD=280.62
⇒ BD=280.62/18
⇒ BD=15.6
Consider ΔBDA
AB²=AD²+BD² (Pythagoras theorem)
18²=x²+15.6²
⇒ x²=18²-15.6²
⇒ x=9 units
Therefore, the length of AD is 9 units from the given right triangle ABC.
To learn more about the right angle visit:
https://brainly.com/question/3770177.
#SPJ2
Related Questions
What is the solution to this system of equations?
Answers
Answer:
(-2,2)
Step-by-step explanation:
Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.
Hope this helps ^-^
What is the equation of the line that has a slope of 0 and passes through the point (6, -8)?
Answers
Answer:
your answer will be J. Y=-8
Step-by-step explanation:
Y=mx+b (6, -8)
(-8)= 0(6) +b
(-8)= 0+b
(-8)= b
Y=0(6)-8
y=-8
what two numbers multiply to 36 and add to -20
Answers
Answer:
Those numbers are -18 and -2
Explanation:
(-18)*(-2)=36
-18+(-2)=-18-2=-20
Answer:
x*y=36
x+y=-20
so it would be -18 and -2, :)
Step-by-step explanation:
Determine the center and radius of the following circle equation:
x^2+y^2+12x-10y+12=0
Answers
Answer:
Center: ( -6,5) Radius: 7
Step-by-step explanation:
I hope this helps!
Answer:
radius = 9
C:(9,3)
Step-by-step explanation:
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Jim’s father is older than 40 but younger than 50
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Answer:
Is it 41, 42, 43, 44, 45, 46, 47, 48 or 49?
Answer:
its clearly 77
Plz help I’m bad with angles
Answers
Answer:
Complementary angles,7 & 83
Supplementary angles, 97 & 83
Vertical angles, 83 & 83
Step-by-step explanation:
Complementary angles add up to 90°
Supplementary angles add up to 180°
Vertical angles are equal
Unit 8 7th grade math
Answers
First you add all the number then you divide by the amount of numbers
A clothing store is having a one
day sale offering 20% off all
merchandise. If Claudia spends
$99.84 on the day of the sale,
excluding sales tax, what would the
purchase have cost her at full price?
Answers
o saw this question om edge its b
Heather has a thin piece of wood that measures 14 inches long by 13 inches wide. She wants to make a box with a height of 3 inches. Heather says that she has enough wood to make a box that has bases measuring 6.5 inches by 6.5 inches. Do you agree?
Answers
Answer:
Yes, I agree. Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.
Step-by-step explanation:
First, we will calculate the area of the piece of wood Heather has
Area (A) = Length (l) × Width (w)
From the question, l = 14 inches and w = 13 inches
A = 14 inches × 13 inches
A = 182 squares inches
Hence, the area of the piece of wood is 182 square inches
Now, we will calculate the total surface area of the box she desires to make
Area (A) of a box is given by
A = 2lw + 2lh + 2wh
Where l is the length
w is the width and
h is the height
She wants to make a box with a height of 3 inches and bases measuring 6.5 inches by 6.5 inches.
i.e h = 3 inches, l = 6.5 inches and w = 6.5 inches
∴ A = 2(6.5×6.5) + 2(6.5×3) + 2(6.5×3)
A = 84.5 + 39 + 39
A = 162.5 square inches
Hence, the area of the box she wants to make is 162.5 square inches
Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.
Answer:
Yes
Step-by-step explanation:
3x +2 for x=5
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Answers
Answer:
15 + 2=
17
Step-by-step explanation:
Answer: 3 x 2 + 13 x - 10
Step-by-step explanation:
:)
Convert radians to degrees
Show all the work
6. 3.8 radians
8. 5π/4(this is a fraction)
Answers
Answer:
Below in bold.
Step-by-step explanation:
Degrees = radians * 180/π.
6. 3.8 radians = 3.8 * 180 / π
= 217.7 degrees to nearest hundredth.
8. 5π/4 radians = 5π/4 * 180/π
= 5*180/4
= 225 degrees.
What are the degree and leading coefficient of the polynomial?
Answers
Answer:
Degree: 9
Coefficient: -1
Step-by-step explanation:
The degree of a polynomial is equivalent to the highest degree of all its terms.
The term with the highest degree in this polynomial is y^9
Will give brainlist! And 20 points!
factor 12x^3y completely
Answers
Answer:
I don't think 2x^3y cannot be factorised
One positive number is 2 less than another. The sum of their squares is 34. What is the smaller number?
Answers
The smaller number is 3. The number 3 squared is 9, plus the other number 5 squared, which is 25. when you add them, you get 34
Step-by-step explanation:
x = first number
y = second number
a. x+2 = y
b. x^2 + y^2 = 34
Replace y from equation a into equation b:
x^2 + (x+2)^2 = 34
Expand it
x^2 + x^2 + 4x + 4 = 34
2*x^2 + 4x = 30
2x^2 + 4x - 30=0
solving x:
x = -5 and x =3 , it says it is a positive number, then it is x is 3
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y = 5
Lets test it!
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Someone help me I need to get this finished by tomorrow ASAP
Answers
Math Journal Brian says that the expressions 2(x + 2) and 3(x + 1) + 1 are
equivalent because they name the same value when x = 0. Is Brian's reasoning
correct? Explain.
PLEASE HURRY
Answers
Step-by-step explanation:
if 2(0+2)=0+4=4 Answer
3(0+1)+1=(0+3)+1=4 Answer
hope it helps
What is all that is equivalent to 5x+(x+6)+3x
Answers
Answer:
9x+6
Step-by-step explanation:
I think by equivalent, you mean solve it.
5x+(x+6)+3x
5x+x+6+3x, open the parenthesis
9x+6, add up the like terms
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Answers
Answer:
256 miles
Step-by-step explanation:
The Pythagoras theorem is a² = b² + c² where a is the hypotenuse or longest side
To find the shorter side, the equation is rearranged so c² = a² - b² (whether it is b or c doesn't matter)
so √377² - 277² = 255.7342371
Answer to number 22
Answer: 256 miles
help me please???????
Answers
The function ƒ(x) = 2x − 1 indicates:
a downward shift of 1 unit.
a shift of 1 unit to the left.
an upward shift of 1 unit.
None of these choices are correct.
Answers
Answer:
the function f(x) = 2x - 1 indicates:
a downward shift of 1 unit
as the y-intercept: (0, -1)
Students in middle school and high school were surveyed about whether they have taken the SAT. Some of the survey results are listed here.
37% of middle school students have taken the SAT.
4% of high school students have not taken the SAT.
This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.
Answers
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
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is a negative number to the seventh power negative
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7 is an odd number since it can't be divided evenly by 2.
A negative number taken to an odd power will always be negative.
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Simplify (-12x+(-13))-(10x+(-12))
Answers
Answer:
-22x - 1
Step-by-step explanation:
(-12x+(-13)) - (10x+(-12))
(-12x-13) - (10x-12) Take away the plus sign since addition of a negative is the same as subtraction.
(-12x-10x) + (-13+12) Put like terms together.
-22x - 1 Simplify
Answer:the answer is -22x-1 hope that helps
Step-by-step explanation:
Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his house. Each tile has an area of 49 in^2. the function A(t)=49t represents the area A(t), in square inches that t tiles cover. What domain and range are reasonable for the function? What is the graph of the function?
Answers
Answer: [0, 396]
Step-by-step explanation:
The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.
0 to 44 written in interval notation is [0,44].
The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.
A(t) = 9t
A = 9(44)
A = 396
With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.
0 to 396 written in interval notation is [0, 396].
Factoriza la diferencia de cubos
1) 8x³ -64
2) 125x³- 64y{6}
3) 8a³- 27b³
4) 27a³- 27b³
Answers
Answer:
The first one will be equal 2
Because
[tex] \frac{ - 64}{8} = - 8[/tex]
[tex]x ^{3} = 8 \\ [/tex]
[tex] \sqrt[3]{ - 8} = - 2[/tex]
Oh sorry i read the question wrongly i thought you wanted the value of x
Step-by-step explanation:
main formula used
a³-b³=(a-b)(a²+ab+b²)
whats the distributive property
Answers
Answer:
5n + 5a
Step-by-step explanation:
This would be your simplified algebra expression.
Answer:
The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods
Step-by-step explanation:
At a movie night,1/4 of the persons were boys,5/8 were girls and the rest were adults.If there were 56 more girls than adults how many persons were in total?
Answers
Given:
Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.
Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.
Remaining persons are adults.
There were 56 more girls than adults.
To find:
The number of total persons.
Solution:
Let x be the number of total persons. Then,
Number of boys = [tex]\dfrac{1}{4}x[/tex]
Number of girls = [tex]\dfrac{5}{8}x[/tex]
Number of adults = Total persons - Boys - Girls
= [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]
= [tex]\dfrac{8x-2x-5x}{8}[/tex]
= [tex]\dfrac{x}{8}[/tex]
There were 56 more girls than adults.
Girls = Adults + 56
[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]
[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]
[tex]\dfrac{4}{8}x=56[/tex]
[tex]\dfrac{1}{2}x=56[/tex]
Multiply both sides by 2.
[tex]x=112[/tex]
Therefore, the total number of persons is 112.
p + -35 = 25 what would be p
Answers
Answer: p=60
Step-by-step explanation: Hope this help :D