Answers
Answer : The demonstration is below :)
Step-by-step explanation :
We use Pythagoras' theorem :
In the triangle ABC we have :AB² = AC² - BC² = 15² - 9² = 144 = 12²
In the triangle ABD we have :DB² = AD² - AB² = 13² - 12² = 5²
cos(a) = BD/AD = 5/13
Related Questions
a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.
Answers
The area of a rectangle is the product of its dimensions
The dimensions of the rectangle are: [tex]\mathbf{Length = a -5}[/tex] and [tex]\mathbf{Width = a^2 + 5a + 25}[/tex]
The area is given as:
[tex]\mathbf{Area = a^3 - 125}[/tex]
Express 125 as 5^3
[tex]\mathbf{Area = a^3 - 5^3}[/tex]
Apply difference of cubes
[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}[/tex]
[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 25)}[/tex]
The area of a rectangle is:
[tex]\mathbf{Area = Length \times Width}[/tex]
So, by comparison:
[tex]\mathbf{Length = a -5}[/tex]
[tex]\mathbf{Width = a^2 + 5a + 25}[/tex]
Read more about areas at:
https://brainly.com/question/3518080
(-2) times (-3x) -4x
x=
Evaluate the expression
Answers
Answer:
= 6x
Step-by-step Evaluation:
Evaluate for x=6
((−2)(−3))(6)
((−2)(−3))(6)
=36
(hope this helps you) :)
The picture I took is what I need help with.
Answers
Answer:
4th option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, 0 ) and (x₂, y₂ ) = (0, - 9) ← 2 points on the line
m = [tex]\frac{-9-0}{0-(-6)}[/tex] = [tex]\frac{-9}{0+6}[/tex] = [tex]\frac{-9}{6}[/tex] = - [tex]\frac{3}{2}[/tex]
The line crosses the y- axis at (0, - 9 ) ⇒ c = - 9
y = - [tex]\frac{3}{2}[/tex] x - 9 ← in slope- intercept form
Multiply through by 2 to clear the fraction
2y = - 3x - 18 ( add 3x to both sides )
3x + 2y = - 18 ← in standard form
the cost of an ad is $1 for every 5 words. If Maria wants to spend no more than $15 dollars on her ad, how many words w can she use?
Answers
Answer:
75 words
Step-by-step explanation:
15*5=75
each dollar is five words, so times five by fifteen to get the number of words she can use.
what set of numbers does ^22 fall between
Answers
Answer:
4 and 5
Step-by-step explanation:
If you mean what [tex]\sqrt{22}[/tex] falls into, you would get something in between 4 and 5.
We can solve this by first finding a square root that is higher than that, which is [tex]\sqrt{25}[/tex] and [tex]\sqrt{16}[/tex].
If we go by that [tex]\sqrt{22}[/tex] falls in between 4² and 5².
Cheers!
16% of 95 is what number?
Please answer this fast I'll mark you as brainliest. Thank You.
Answers
Answer:
16% of 95 is 15.2
Step-by-step explanation:
0.16×95= 15.2
Trust me bro I got you
Quis mode Easy
hasil dari
T²⁵⁴÷T²⁴³=
Answers
Answer:
T²⁵⁴÷T²⁴³=
T²⁵⁴-²⁴³=
=T¹¹
done and thank you
Negative four and one-fifth minus negative thirteen and one-tenth
Answers
Answer:
8 nine tenths
Step-by-step explanation:
(-21/5) - (-131/10)
(-42/10)-(-131/10)
131-42=89
89/10
8 and nine- tenths or 8 9 divided by 10
If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?
Answers
Answer:
Step-by-step explanation:
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
Answers
Answer:
Part A 70x+50=250
Part B(75x + 35) = 250 - 5x
Step-by-step explanation:
Here to form an equation you must add all the money that she earned and subtract the money that she had to spend We dont know how many car washes she did, so we must represent it with a variable, or x.
Answer:
Step-by-step explanation:
Part A: Rhett washed 3 cars and earned $50 in tips. y=70x+50
Part B: $75 - $5 = $70 (this is the amount charged minus the amount needed to get the job done per car wash)
the +35 is the tips extra/ constant that will be added after the jobs are done.
x is the number of car washes done
y would be the profit received.
so y = 70x + 35 (profit = value of car wash * number of cars washed + tips)
calculate the number of months in each.use addition. a) 2 years
Answers
Answer:
24
Step-by-step explanation:
12+12
is it correct
if you take 3 apples from 10 apples how many apples do you have
Answers
Answer:
still 10 even tho you took 3
Step-by-step explanation:
four more than the quotient of a number and six. write in algebraic expression
Answers
Answer:
4+n/6 (the slash means a fraction with n on top.) <3
Step-by-step explanation:
Just add a random answer
Answers
5 ≤ 12 - m, if m = 8
Answers
Answer:
5 ≤ 12 - m
5 ≤ 12 - 8
5 ≤ 4
Therefore, it is false statement
Step-by-step explanation:
If you than please mark me brainliest thanks
The given statement is false.
The given statement is 5 ≤ 12 - m, if m = 8.
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Now, replacing m by 8 in the given inequality, we get
5 ≤ 4
Therefore, the given statement is false.
To learn more about the inequality visit:
https://brainly.com/question/20383699.
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help fast pleaseee
NO RANDOMS
Answers
b) is -20
c) is 18
Answer:
a) 6 × (-3) = – 18
b) (-5) × 4 = – 20
c) (-9) × (-2) = 18
Step-by-step explanation:
** Note;
[tex]( - ) \times ( - ) = ( + ) \\ ( + ) \times ( - ) = ( - )\\ ( - )\times ( + ) = ( - ) \\( + ) \times ( + ) = ( + )[/tex]
I hope I helped you^_^
Bella is planning a proof for the Isosceles Triangle Theorem using the following information and diagram. Given: APQR is an isosceles triangle with base PR Prove: ZP ZR First, she draws the angle bisector of ZQ and labels it QB. She plans to show that ZP and ZR are corresponding parts of congruent triangles. Which congruence criterion can be used in her proof to show that APQB ARQB? A. ASA B. SAS C. SSS
Answers
Similar triangles may or may not be congruent.
The congruent criterion to use in her proof is (b) SAS theorem
From the question, we understand that she draws an angle bisector from [tex]\mathbf{\angle Q}[/tex] to side PR
This means that, either sides of angle Q are congruent. (this is represented by A i.e. angle)
When [tex]\mathbf{\angle Q}[/tex] is bisected, sides PB and RB become congruent
i.e. [tex]\mathbf{PB \cong RB}[/tex] ... (this is represented by S i.e. side)
Lastly, both triangles share a common side at QB .. (this is also represented by S i.e. side)
So, we have: SAS
Hence, the congruent criterion to use in her proof is (b) SAS theorem
Read more about similar and congruent triangles at:
https://brainly.com/question/19589236
No Link or I’m blocking you :)
Answers
Answer:
- 55Step-by-step explanation:
20 - 15(2²· 5/4) = Exponent20 - 15(4 · 5/4) = Parenthesis20 - 15(5) = Multiplication20 - 75 = Subtraction- 55anyone know what to do no bot answer please they are annoying very annoying..
Answers
Answer:
5
Step-by-step explanation:
Hope it helps. :D
Answer:
144 I think have a good day
I've tried everywhere to get this answerrrrr ill give brainliest for the correct answer mate!!
Answers
Answer:
list out some of the difference between Mendeleev periodic table modern periodic table plz give ans
F(105)=105/7 use the following functions to find f(105)
Answers
Answer:
F(105) = 15
Step-by-step explanation:
105 ÷ 7 = 15
Hope this helps!
A line is represented by the equation y = x + 2. Suppose the slope of the line was doubled and the value of the y-intercept was divided by 2. What is the equation of the new line?
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
slope is the coefficient of the 'x' term, in this case 1
doubling 1 gives you 2
y-intercept is 2, dividing this by 2 gives you 1
i need help with this maths homework please
Answers
Factor the expression
Answers
Answer:
(x−1)(x+2)(x+2)
Step-by-step explanation:
x2(x−1)+4x(x−1)+4x−4
x3+3x2−4
=(x−1)(x+2)(x+2)
Answer:
( x - 1 ) ( x + 2 )²
Step-by-step explanation:
→ Factor out 4x - 4
4 ( x - 1 )
→ Rewrite
x² ( x - 1 ) + 4x ( x - 1 ) + 4 ( x - 1 )
→ Factor out x - 1
x - 1 ( x² + 4x + 4 )
→ Factor the quadratic inside
( x - 1 ) ( x + 2 )²
The sum of three numbers is 137. The second number is 4 more than two times the first number. The third number is less than three times the first number. Find the three numbers.
Answers
Answer:
23, 50, 64
Step-by-step explanation:
137 = 23 + 50 + 64
Let the first number be x
Second number: 2x+4
Third number: 3x-5
Write the equation:
x + (2x + 4) + (3x-5) = 137
Solve for "x"
6x - 1 = 137
6x = 138
x = 23
Plug x (23) into the equation:
x + (2x + 4) + (3x-5) = 137
23 + 2(23) + 4 + 3(23) - 5 = 137
(23 + 46 + 4 + 69) - 5 = 137
142 - 5 = 137
help ME PLEASE FAILING GEOMETRY!
Answers
5) c. Alternate Exterior
[tex]\sf 300+200+200[/tex]
Answers
Step-by-step explanation:
300+200+200 = 700.
so simple
hope this helps you.
Please help my friend!!
Answers
Answer: 700
Step-by-step explanation:
Can someone help me with this
Answers
Answer:
4/5, 3/4, 5/7, 2/7, 1/7
Step-by-step explanation:
Answer:
I am here to help you like a hero
Step-by-step explanation:
so the order is 4/5,3/4,5/7,2/7,1/7
What is 268 divided by 6 with a remainder
Answers
Answer:
264 with a remainder of 4
Step-by-step explanation:
The solution is: 44 is 268 divided by 6 with a remainder 4.
Here, we have,
given that,
268 divided by 6
Given the following mathematical expression;
268 / 6
We would apply the law of division for fractions.
268 / 6
= 268 ÷ 6
= 44 + 4
the remainder is 4
Hence, The solution is: 44 is 268 divided by 6 with a remainder 4.
To learn more on division click:
brainly.com/question/21416852
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