Answers
Answer:
c = 13
m∡A = 60°
m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:
a² + b² = c²
Plug in the corresponding numbers to the corresponding variables:
5² + 12² = c²
Simplify. First, solve the exponents, and then add:
(5²) = 5 * 5 = 25
(12²) = 12 * 12 = 144
25 + 144 = c²
c² = 169
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:
√c² = √169
c = √169 = √(13 * 13) = 13
c = 13
13 is your answer for c.
Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).
Related Questions
What would be the inverse function of g(x)=1/x-1 ? Thanks in advance.
Answers
Exchanging x and y and isolating y, it is found that the inverse function is:
[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]
The function given is:
[tex]g(x) = y = \frac{1}{x - 1}[/tex]
To find the inverse function, we exchange x and y and isolate y, hence:
[tex]x = \frac{1}{y - 1}[/tex]
[tex]x(y - 1) = 1[/tex]
[tex]xy - x = 1[/tex]
[tex]xy = 1 + x[/tex]
[tex]y = \frac{1 + x}{x}[/tex]
Hence, the inverse function is:
[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]
You can learn more about inverse functions at https://brainly.com/question/16485117
When trying to find the amount of interest you will pay if you borrow money, what three things
must you calculate? Think PRT.
O Partial amount, interest rate, time
O Principal, review, time
O Principal, interest rate, time
O Pay, rate, terms
Answers
If CD = 6 and the perimeter of ABC is 41, what is the perimeter of ABE?
Answers
Answer:
53.
Step-by-step explanation:
DE = CD = 6 ( as triangle ACE is isosceles so AD is the perpendicular bisector of CE.
Therefore CE = 12.
AB + BC + AC = 41 (given perimeter of ABC)
AB + BC + AE + 12 = perimeter of ABE.
But AE = AC ( given), so
AB + BC + AC + 12 = perimeter of ABE
Now we know that AB + BC + AC = 41 , so
41+ 12 = perimeter of ABE.
P(A) = 8/15
P(B) = 6/15
P(A ∩ B) = 1/5
Find P(A U B)
4/15
11/15
1/15
2/15
Answers
Answer:
1/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
1/15
five times a number is ten more than three times the number. Find the number
Answers
5x = 10 + 3x
5x - 3x = 10
2x = 10
x = 5
To check
5(5) = 10 + 3(5)
25 = 10 + 15
25 = 25
Answer:
x = 5
Step-by-step explanation:
Number = x
5x = 10 + 3x
2x = 10
x = 5
a) 9 b) 10 c) 12 d) 15
will give brainliest plz help
Answers
[tex]y = \frac{x}{2} [/tex]
[tex]2x + 2y = \sqrt{180} \\ = > 2x + 2( \frac{x}{2} ) = \sqrt{180} \\ = > 2x + x = \sqrt{2 \times 2 \times 3 \times 3 \times 5} \\ = > 3x = 2 \times 3\sqrt{5} \\ = > 3x = 6 \sqrt{5} \\ = > x = \frac{6 \sqrt{5} }{3} \\ = > x = 2 \sqrt{5} [/tex]
[tex]x.y \\ = x \times \frac{x}{2} \\ = \frac{ {x}^{2} }{2} \\ = \frac{ {(2 \sqrt{5} )}^{2} }{2} \\ = \frac{4 \times 5}{2} \\ = \frac{20}{2} \\ = 10[/tex]
Answer:
10
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
b
Step-by-step explanation:
Given
2x + 2y = [tex]\sqrt{180}[/tex] = [tex]\sqrt{36(5)}[/tex] = 6[tex]\sqrt{5}[/tex]
and y = [tex]\frac{x}{2}[/tex] , then
2x + (2 × [tex]\frac{x}{2}[/tex] ) = 6[tex]\sqrt{5}[/tex]
2x + x = 6[tex]\sqrt{5}[/tex]
3x = 6[tex]\sqrt{5}[/tex] ( divide both sides by 3 )
x = 2[tex]\sqrt{5}[/tex]
and y = [tex]\frac{2\sqrt{5} }{2}[/tex] = [tex]\sqrt{5}[/tex]
Then
xy = 2[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 2 × 5 = 10 → b
The total cost for attending the rodeo carnival can be found using the function f(x) = 2.25x + 18, where x is the number of food tickets purchased. If a family
purchases between 4 and 8 food tickets, what is the domain and range of this situation?
Answers
Answer:
domain is {4,5,6,7,8}, range is the other numbers in brackets
Step-by-step explanation:
Please help me solve this! Very urgent :(
Answers
Answer:
last one
Step-by-step explanation:
How can you split 20 into 3 groups
Answers
The answer is 6 per team with 2 left over, as (6 x 3) + 2 = 20
I thought of the largest amount that could be multiplied by 3, but the product would be less or equal to 20, that's how I got 6.
Then to find the left over remaining balls that are given out I subtracted 20-18 = 2.
A *bank* is a regular quadrilateral with four equal sides and four equal angles.
HELP PLEASE QUICK
Answers
Answer:
square
Step-by-step explanation:
question: A _____ is a regular quadrilateral with four equal sides and four equal angles.
first we have that it is a regular quadrilateral.
regular shapes are shapes that have equal side lengths, and equal interior angle measures.
a quadrilateral means it has 4 sides
if there are 4 sides, and all the angles are equal then each angle will be 90 degrees/ a right angle.
therefore you get a shape with:
4 congruent (equal) sides
4 right angles
this describes a square!
Let f be a differentiable function. If h (x) = (2+ f (sin x))", which of the following gives a correct process for finding h' (x) ?
Answers
Answer:
[tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle h(x) = [2 + f(\sin x)]''[/tex]
Step 2: Differentiate
Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [2 + f(\sin x)]'[/tex]Rewrite [Derivative Property - Addition/Subtraction]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' \bigg[(2)' + [f(\sin x)]' \bigg][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [f(\sin x)]'[/tex]Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' f'(\sin x)(\sin x)'[/tex]Trigonometric Differentiation: [tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]From here, if you would like, you can take the 3rd derivative of the last piece.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
AMIGOS AND AMIGAS PLS HELP MY POOR BRAIN ILY FAM:
1) 8+ 9p = 9p - 7
2) 2(3x + 6) = 3(2x - 6)
Answers
1. 9p - 9p = -8 - 7
0 = - 15
2. 6x + 12 = 6x - 18
6x - 6x = - 18 - 12
0 = - 30
That's what I got
Write the equation of the line that passes through (-4,1) and is perpendicular to the line y=2x+3
Answers
Answer: y = -(1/2)x - 1
Step-by-step explanation:
y=2x+3
This is written in the format of y = mx + b, where m is the slope and b the y-intercept. The slope of this reference line is 2. Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line. That means out new line will have a slope of -(1/2):
y = -(1/2)x + b
We can find b by entering the x and y for the given point (-4,1) and solve for b:
y = -(1/2)x + b
1 = -(1/2)(-4) + b
1 = 2 + b
b = -1
y = -(1/2)x - 1
This equation is perpendicular to y=2x+3 and goes through point (-4,1). See attachment.
yo can i get some help with this
Answers
Answer:
14
Step-by-step explanation:
Answer:
16 + 2 = 14 + 4
? = 14
Step-by-step explanation:
Rupert bought a watch for 7 dollars and 58 cents and sold it for 37 dollars and 90 cents, what is the ratio of selling price to cost price in its simplest form ?
Answers
Answer:
5 : 1
Step-by-step explanation:
Selling price = 37.90
Cost price = 7.58
Selling price : cost price = 37.90 : 7.58
When simplifying, we can first check if one number is a factor of the other:
7.58 * 3 = 22.74
7.58 * 4 = 30.32
7.58 * 5 = 37.9
Perfect. Therefore, selling price = 5 * cost price and selling price: cost price = 5:1
The product of b and 9 is less than or equal to 26.
Answers
Divide 9 to both sides
b less than or equal to 2 and eight-ninths
Here is the equation of a circle: x2 + y2 + 12x + 2y + 12 = 0
Find the center and radius of the circle.
Answers
Answer:
centre = (- 6, - 1 ) , radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given
x² + y² + 12x + 2y + 12= 0
Collect the x- terms and the y- terms together and subtract 12 from both sides
x² + 12x + y² + 2y = - 12
Using the method of completing the square
add ( half the coefficient of the x / y coefficients )² to both sides
x² + 2(6)x + 36 + y² + 2(1)y + 1 = - 12 + 36 + 1
(x + 6)² + (y + 1)² = 25 ← in standard form
with (h, k ) = - 6, - 1 ) as centre and r = [tex]\sqrt{25}[/tex] = 5
What is the sum of 7/13 and 11/26? Please help!!
Answers
Answer:
The sum of 7/13 and 11/26 is 25/26.
Step-by-step explanation:
7/13 + 11/26
The common denominator is 26
7/13 *2/2 +11/26
14/26 + 11/26
25/26
which integer represents 8°c below 0?immersive reader (1 point)
Answers
Answer: -8
Step-by-step explanation: negative numbers are below zero in this case its 8 below zero which the keyword is below which means less than negative integers are less than zero so its -8
Nathan uses ¼ cup of water for every ½ cup of lemon juice to make lemonade. Enter the number of cups of water Nathan uses for 1 cup of lemon juice. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER.
Answers
I think it should be 1/2 cup water. Sorry if I'm wrong
What are the terms in this expression: x + 7 - 3x + 6y (Check all that apply)
A is x
B is -4
C is -3x
D is 6y
E is +7
Answers
6y and +7
11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have?
Answers
The total money of the value is $840 then you would subtract. $840-$620=$220.
Divide that by ten so, $220/10= 22.
She has 22 ten dollar bills.
A car slows down at -5.00 m/s2 until it comes to a stop after traveling 15.0 m. How much time did it take to stop.
Answers
Answer:
2.45 seconds to the nearest hundredth.
Step-by-step explanation:
Acceleration a = -5, distance s = 15, time = ?.
Final velocity = v = 0.
We need to use the equations of motion under constant acceleration.
v^2 = u^2 + 2as where u is the initial velocity
0 = u^2 + 2*-5*15
u^2 = 150
so u = √150
Now we use v = u + at:
0 = √150 - 5t
t = √150/5
t = 2.45 seconds.
whats the answer for the question below
Answers
Answer:
I know that
Step-by-step explanation:
the point is (0,2) and the slope is 1/2
Francisco sold 9 rolls of wrapping paper for a band fundraiser earning the band $22.50. Sharon sold 16 rolls of wrapping paper and earned $40.00 for the band. If this relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis, what is the slope of the graph in dollars per roll?
A. 1.25
B. 2.50
C. 3.75
D. 5.00
Answers
Answer:
A
Step-by-step explanation:
If the relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis
Then the two points on that line will be (14,17.50) and (16,20)
We know that the slope of a lien with points is give by:-
Hence, the slope of the graph with points (14,17.50) and (16,20) is given by :-
Therefore, the slope of the graph = 1.25 dollars per roll.
Please help if it’s correct I will give brainliest :)
(–4v–5)–(v–1)
Answers
Answer:
(-4v-5)-(v-1)= -5v-4
Step-by-step explanation:
hope it helps :D
Answer:
ok you want to come then come here
(BRAINLIEST TO THE PERSON WHO HELPS ME WITH THESE THREE QUESTIONS)
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable.
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
Answers
Answer:
Cheryl's posts + 7 posts =Kevin Posts
K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin
Operation=subtraction or addition because it could be K-C=7 or C+7+K
Cheryl wrote K-7=C posts
Answer:
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)
The expression will be P for "of posts Kevin writes."
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)
The operation I will use is subtraction so P-7.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)
Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )
What is (f •g)(x)
f(x)= -3x^2-5x
g(x)=5x
Answers
Answer:
sorry I didnt get you. whats the mean of ^ symbole.
I don't know the answer to y=48,000(1-13.2)6
Answers
x+y=15
- 2x+5y=-2
solve the system of equations
please answer i’ll name you brainliest
Answers
Answer:
x= 11 and y = 4
Step-by-step explanation:
(solving by elimination)
Multiply the first equation by 2 and multiply the second one by 1.
2(x+y= 15)
1(-2x+5y=-2)
is now
2x+2y=30
-2x+5y-2
add them together to eliminate x
7y=28
then solve for y
7y=28
[tex]\frac{7y}{7}[/tex]=[tex]\frac{28}{7}[/tex]
y=4
---
Now you have y. put that back into the original equation for X
---
x+y=15
y= 4 so
x+4=15
x= 15-4
x=11
x=11, y=4