Step-by-step explanation:
if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)
Answer:
[tex] \sin(60) = \frac{45}{x} \\ [/tex]
[tex] x = \frac{45}{ \sin(60) } [/tex]
x=5 1.96
Step-by-step explanation:
[tex] \tan(30) = \frac{y}{45} [/tex]
[tex]y = 45 \tan(30) [/tex]
y=25.98
6 gallons to 42 gallons
Express each ratio as a fraction in the simplest form
The bike cost $120. The sales-tax rate was 8%. What is
the total cost of the bike including sales tax?
Answer:
$129.6
Step-by-step explanation:
just use ur calculator i think
Answer:
$129.60
Step-by-step explanation:
8 percent of 120 is 9.6
9.6+120=129.6
For f(x) = 8x + 8, find f(5).
Work Shown:
f(x) = 8x + 8
f(5) = 8*5 + 8
f(5) = 40 + 8
f(5) = 48
1 2/3 × 2 5/8 Give your answer as a mixed number in its simplest form.
Answer:
4 3/8
Step-by-step explanation:
hope this helps
Charlotte is working two summer jobs, making $21 per hour tutoring and $14 per hour clearing tables. Last week Charlotte worked twice as many hours tutoring as she worked hours clearing tables hours and earned a total of $168. Graphically solve a system of equations in order to determine the number of hours Charlotte worked tutoring last week, x,x, and the number of hours Charlotte worked clearing tables last week, yy.
Answer: this is the answer please follow to the explanation
Step-by-step explanation:
21x + 14y = 168. X=2y
14y = -21x +168. 2y=x
14 divided by 14 on one side and
-21 + 168 divided by 14 on the other side
You should get...
Y= -3/2x +12
For part 2 where they want you to put the 2 numbers in, you should put the point they intercept which is (6,3).
Well, have a good day
Leah loves chicken wings and is comparing deals at 4 different restaurants. Buffalo Bills has 8 wings for $7. Buffalo Mild Wings has 12 wings for $10. Wingers has 20 wings for $17. Wing stop has 10 wings for $12. What is the price per chicken wing? Buffalo Bills $1.20 Buffalo Mild Wings $0.85 Wingers $0.87 Wing stop $1.20
Will give brainliest if correct.
Your answer should come to:
y = -2/3x + 3
If $800 is deposited into a new savings account with a simple interest rate of 1.8%, what will be the total amount in the account after 15 years?
Answer:
Step-by-step explanation:
I = prt
I = 800 × 1.8% x 15
I = $216
Remember the percent sign for the rate or write it as a decimal (multiplier)! In this case the multiplier would be 0.018!
Hope this helps, please mark as brainliest! :)
HELLLLLLLLLLLLLLLLLLLPPPPPPPP
Answer:
option 4
Step-by-step explanation:
Answer:
Option 4 (C)
Step-by-step explanation:
Substitute the f(x) = 10 - x^2 into where it says f(x):
g(x) = 3 f(x) - 8
g(x) = 3 (10-x^2) - 8
Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:
g(-2) = 3 (10-(-2)^2) - 8
g(-2) = 18 - 8
g(-2) = 10
^-^ hope this helps! (●´ω`●)
which situation could be represented by the equation 15.5 = x/2
Answer:
C. Julie drive 15.5 miles from her home to the grocery store. Julie drives the same path going back home. What is x, the total amount of miles traveled to the grocery store and back home?
Step-by-step explanation:
The situation in the 3rd option represents the equation, 15.5 = x/2.
Distance driven by Julie to the grocery store = 15.5 miles
Distance driven by Julie back home following the same path = 15.5 miles
Total amount of miles travelled to and fro the store, x, = 2*15.5
This means, the mile's covered going to the store or coming back home can be expressed as ½ the total amount of miles, x, covered. Which is: 15.5 = ½x
Therefore, the third option represents the equation, 15.5 = x/2.
In isosceles triangle △ABC, AC is the base and AD is the angle bisector of ∠A. What are the measures of the angles of this triangle if m∠ADB=110°?
I have also tried 220/3 as the base angle, but that is incorrect. Thank you!
Answer:
Step-by-step explanation: The triangle is isosceles, meaning it has two twin sides, that make two twin angles, namely AB = BC, and the angles at A and C are twins as well. now, the AD segment, is an angle bisector, meaning it cuts the angle at A in two equal halves, so if say the angles are x° each, then the bisectors cut it in (x/2)°. now, we know ∡ADB is 110°, therefore its supplementary angle, in green, is 70°. recall that the sum of all interior angles in a triangle is 180°, thus Check out the photo belowwhat slope line passes through the points (-5,3) and (-3,8)
Answer:
5/2
Step-by-step explanation:
i aint never seen two pretty best friends, its always one em gotta be ugly
The slope of the line passing through (-5,3) and (-3,8) is 5/2.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the slope of a line passing through two given points, we use the formula:
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
where m is the slope and[tex](x_1, y_1) ~and ~(x_2, y_2)[/tex] are the coordinates of the two points.
Plugging in the values given, we get:
[tex]m = \frac{8-3}{-3-(-5)} = \frac{5}{2}$$[/tex]
Therefore,
The slope of the line passing through (-5,3) and (-3,8) is 5/2.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
Timothy has $500. He spends $50 each week on
groceries. Write an equation to find the total amount
of money he has left, y, after x weeks have passed.
Answer:
It takes 10 weeks to spend each $500
Step-by-step explanation:
If he spend $50 each week on groceries, we can say that he spend $100 on groceries every two weeks
To make it to 500 dollars we would have to use the equation 100x5.
This equals to 500
We could also do 100 plus 100 plus 100 plus 100 plus 100.
PLZ HELP ME IF YOU ARE A MR.BEAST FAN. The sum of 7 and 5 times a number is 48. What are the two numbers? What is the equation and the solution of the question.
Answer:
I´m not a Mr. Beast fan but the answer is 4. 4*12 (which is the sum of 7 and 5) = 48
The equation is (7+5)x=48
Answer:
i am a big fan here is the answer (7+5)x=48
Step-by-step explanation:
catie charges an initial amount of $5 for babysitting and the $3 per hour. jolisa does not charge an initial amount but charges $4 per hour. write and solve an equation to find how many hours each girl sill have to babysit to earn the same amount.
Answer:
32
Step-by-step explanation:
5+3=8
8x4=32
4x8=32
Determine if the two triangles are congruent. Help please
Answer:
ASA
Step-by-step explanation:
As we know that the Two corresponding angles are equal along with their Included Side (Side bounded by the angles) are equal as they share the common Included Side, through ASA criterion we can prove that the two angles are congruent.
La Srta. Vázquez tiene 17 una clase de estudiantes. Ella puede gastar 24 dólares por estudiante para comprar material de matemáticas para el año escolar. Ella compra primero calculadoras para todos sus estudiantes, con un costo total de 134,81 dólares . Después de comprar las calculadoras, ¿cuánto dinero le queda para gastar por estudiante? Lis ayúdenme debo entregar hasta el viernes
Answer:
A la Srta. Vázquez le quedan $18,39 para gastar por estudiante.
Step-by-step explanation:
Primero, tienes que dividir el costo total de las calculadoras que compró la Srta. Vázquez entre el número de estudiantes para saber cuánto gastó por estudiante:
134,81/24=5,61
Ahora que sabes cuánto gastó por estudiante, debes restar esto de la cantidad que puede gastar por estudiante para saber cuánto le queda:
24-5,61=18,39
De acuerdo a esto, la respuesta es que a la Srta. Vázquez le quedan $18,39 para gastar por estudiante.
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
•-5
•-2
•2
•5
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Find the zeros for the given equation hurry!!!!
Answer:
x = 3 and -1
Step-by-step explanation:
5(x²-2x-3)
(x-3)(x+1)
Answer:
Zero's are: x= 3, -1
Step-by-step explanation:
With factoring, and determining the middle ground, finding the zeroes will come back to this result.
Calculate the average rate of change for the given graph from x = -2 to x = 0
Answer: x goes from 0 to 2, y changes from 0 to -2
Step-by-step explanation:
A pelican flies to 40 feet above sea level. It then drops down 40 feet to catch a fish. Where is the pelican now? Use the number line below to help you.
Answer:
Step-by-step explanation:
40 ft - 40 ft = 0
On sea level
HELP PLEASE IM FAILING!!!The Horizon Resort charges $150 per night for a single room, and a one-time
valet parking fee of $35. If a person stays 4 nights what is the total cost? Make an equation
The total cost is $635.
An equation to solve this would be 150x · 35 = 635 with x equaling 4, or 150(4) · 35 = 635. Glad I could help. PLEASE GIVE BRAINLIEST. I NEED 5 OF THEM TO LEVEL UP.
find the total cost or sale price to the nearest cent and write your answer with a dollar sign
$2,500 jet ski; 6.5% tax
Answer:
$2662.5 is the answer in my opinion
Given a slope of 3 and the point (2, 1), find the Y-intercept of the line.
Answer:
(0,-5)
Step-by-step explanation:
my work is in the picture I attached. lmk if you'd like me to explain more :)
Step-by-step explanation:
can you help me with this I need it done by tomorrow thank you
Answer:
x = 17deg
Step-by-step explanation:
angle DCE = angle ACB (vertically opposite angles)
therefore,
x + 100 = 4x + 49
3x = 51
x = 17deg
Answer:
X=
Step-by-step explanation:
First you have to divide the shape into to triangles. Triangle CED and triangle ACB.
Second you have to find what angle C is in the triangle ACB. For this you'll have to:
Find out which of the sides are which. For triangle ACB, side CB is the hypotenuse, CA and AB are adjacent.
The formula we use is [tex]a^{2} +b^{2} =c^{2}[/tex]. a and b are adjacent and c is hypotenuse.
When you found what angle C is, you can go on and to the second triangle same theorem applies to the second triangle [tex]a^{2} +b^{2} =c^{2}[/tex]. At this stage you will already know two angles, 100 and c, so finding E using this formula will be easy
One baseball team played 36 games throughout their entire season. If this baseball team won 18 of those games, then what percentage of their games did they win?
can I have topics for STEAM (Science, Technology, Engineering, Art, Math) It must be a real-life problem and I have to figure out a solution and the solution must include Science, Technology, Engineering, Art, Math in it. If you have any ideas please help thank you.
Answer:
See below.
Step-by-step explanation:
I find autonomous robotics and fuzzy-related topics interesting. But it must include all the topics? I mean, Art as well? In the field of robotics, some interesting approaches involve building robots capable of moving in cluttered environments, places with humans efficiently. In this context the study of mapping algorithms and computer vision is interesting.
The graph below represents a linear function
Wich of the following best represents the slope of the line shown below ?
Answer:
3/2
Step-by-step explanation:
rise over run....basically the slope goes 3 units up and 2 units to the right, and the slope is positive, so 3/2
Which one is true? Select all that apply.
A. The slope of AC is equal to the slope of BC.
B. The slope of AC is equal to the slope of BD.
C. The slope of AC is equal to the slope of line t.
D. The slope of line t is equal to EC/AE
E. the slope of line t is equal to FB/FD
F. The slope of line t is equal to AE/FD
Answer:
Options (A), (B), (C) and (E).
Step-by-step explanation:
Option (A).
Slope of AC is equal to the slope of BC.
Since, points A, B and C are collinear points,
Slopes of AC and BC will be equal.
True.
Option (B).
Since, points A, B, C and D are collinear points, slope of AC and BD will be equal.
True.
Option (C).
Points A and C are lying on line 't'.
Therefore, slope of line 't' and line AC will be equal.
True.
Option (D).
Slope of 't' = slope of line AC
= [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{AE}{EC}[/tex]
False.
Option (E).
Slope of line 't' = slope of line BD
= [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{FB}{FD}[/tex]
True.
Option (F).
Slope of line 't' = [tex]\frac{AE}{FD}[/tex]
False.
3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to point D in between angle E A F. Angle C A E is 61 degrees, angle D A F is 90 degrees, and angle F A B is 61 degrees. Find the following angle measures. mAngleEAD = ° mAngleCAB = °
Answer:
m < EAD = 29 degrees
m < CAB = 119 degrees
Given :
The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees
Solution:
1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)
2. m<BAC + m<EAC = 180 degrees (sum of linear pair)
3. m<CAB = 180 degrees - m<EAC
4. Equation 1: m<CAB = m<EAF = 119 degrees
5. m<EAF = m<EAD + m< DAF
6. m<EAD = m<EAF - m<DAF
7. m<EAD = 119 degrees-90 degrees = 29 degrees
Hope this helps!!! :)
Attached photo work is created by another brainly user named tallinn.
Click on this link to find his work and possibly more information of the answer. Thanks!
m < EAD = 29 degrees
m < CAB = 119 degrees
It is given that Angle C A E is 61 degrees,
angle D A F is 90 degrees,
angle F A B is 61 degrees
We need to find mAngleEAD and mAngleCAB
What is sum of linear pair angles?
The sum of linear pairs is 180 degrees
Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)
m<BAC + m<EAC = 180 degrees (sum of linear pair)
m<CAB = 180 degrees - m<EAC
Equation 1: m<CAB = m<EAF = 119 degrees
m<EAF = m<EAD + m< DAF
m<EAD = m<EAF - m<DAF
m<EAD = 119 degrees-90 degrees = 29 degrees
To learn more on sum of linear angles visit: https://brainly.com/question/620263
#SPJ6