Answer:
m and n are both equal to 10
Step-by-step explanation:
Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45. This tells us that the sides m and n are of equal length.
With that in mind, we can simply use the Pythagorean theorem to find their values:
m² + n² = (10√2)²
given that m = n, then:
m² + m² = (10√2)²
2m² = (10√2)²
2m² = 100 × 2
2m² = 200
m² = 100
m = 10
So both m and n are equal to 10.
I. find the distance the two given points
Answer:
Step-by-step explanation:
Use the formula,
distance = √[(x1-x2)^2 + (y1-y2)^2]
Line CD contains points A (4, 6) and B (4, 3). The slope of line CD is (2 points)
positive
undefined
negative
zero
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(4, 3)
m = [tex]\frac{3-6}{4-4}[/tex] = [tex]\frac{-3}{0}[/tex]
Division by zero is undefined thus the slope of CD is undefined
The data above can be modeled by the function f(x) = 0.0425x^2 + 0.07381x - 0.49107 . Using this equation, predict the skid distance for a car that is driving 50 mph.
Answer:
f(50) = 109.44943 feet
Step-by-step explanation:
Modeling
The model of a situation where the skid distance f is measured against the car speed x can be expressed as:
[tex]f(x) = 0.0425x^2 + 0.07381x - 0.49107[/tex]
Using this equation, we can predict the skid distance for a car that is driving at x=50 mph by substituting in the equation of the model:
[tex]f(50) = 0.0425*50^2 + 0.07381*50 - 0.49107[/tex]
[tex]f(50) = 106.25 + 3.6905 - 0.49107[/tex]
f(50) = 109.44943 feet
a) The regular price of a T-shirt is $18. What is the discounted price?
b) If the regular price of an item is x dollars, what is the discount price in dollars?
c) The discounted price of a hat is $18. What is the regular (original) price?
help fast!!!
Answer:
B
Step-by-step explanati
the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown. C is talking about a hat and were talking abot a shirt. so whats left.... B
Answer:
the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown. C is talking about a hat and were talking abot a shirt.
Step-by-step explanation:
Simplify the expression:
-10(32-6)
—————
3
Answer: -260
Step-by-step explanation:
Answer:
-260
Step-by-step explanation:
First, we have to distribute -10 to 32 and -6, since 32 - 6 is in parentheses.
So, the expression becomes -320 + 60, because -10 × 32 = -320 and -10 × -6 = 60.
So, -320 + 60 = -260
HELPPP PLSSSS I REALLY NEED HELP!!!
Answer: 108°
Step-by-step explanation:
Answer:
108Step-by-step explanation:Remember that the total amount of degrees in a pentagon is: 540, and there are 5 sides, so divide 5 by 540:
540/5 = 108
108 is your answer.
Suppose that you have $5,000 to invest. Which investment yields the greater return over a 10 year period: 7.74% compounded daily or 7.8% compounded quarterly? Find the total amount of the investment after 10 years if $5,000 is invested at 7.74% compounded daily. $ (Round to the nearest cent as needed.)
Answer:
We should invest in 7.74% compounded daily as it yields a higher return.
The total investment after 10 years is $10,841.22.
Step-by-step explanation:
a.) at 7.74% compounded daily
[tex]final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235[/tex]
I assumed there are 365 days in a year.
b.) at 7.8% compounded quarterly
[tex]final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505[/tex]
What is the equation of the linear function represented by the table?
O y=-X+9
O y=-x+ 13
O y=x+13
O Y = X+9
Answer:
y= -x+9
❤hope its helpful
THANK YOU.
PLEASE HELPPPPPPPP....?.......
If a+b=15 and ab=54 then find
1)
[tex] {a}^{2} + {b}^{2} [/tex]
2)
[tex](a - b )^{2} [/tex]
3)
[tex]a ^{2} - {b}^{2} [/tex]
Answer:
a = 9
b = 6
I hope you can do the rest yoyrself, as I coulsnt find how to type it out ;-;
Answer:
1) 117
2) 9
3) 45 or -45
Step-by-step explanation:
a=9
b=6
1) a²+b²=9²+6²=81+36=117
2) (a-b)²=(9-6)²=3²=9
3) a²-b²=81-36=45
It’s also possible that a=6 and b=9, in which case
1) (same)
2) (same)
3) 36-81=-45
Suppose someone gives you 6 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win 6 dollars if you succeed and lose 1 dollar if you fail. What is the expected value of this game to you. What can you expect if you play 200 times
Answer:
0.75 ;
150
Step-by-step explanation:
Probability of rolling two even numbers :
{1, 2, 3, 4, 5, 6}
P(even) = 3 / 6 = 1/2
From a roll of 2 dice :
P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25
P(not even) = 1 - 1/4 = 3/4
X : ____ 6 _______ - 1
P(x) ____ 0.25 ____ 0.75
Expected value :
Σx*p(x) = (6*0.25) + (-1 * 0.75)
= 1.50 - 0.75
= 0.75
If 200 games are played :, n = 200
Expected value * n
0.75 * 200
= 150
10 points and king crown extra 5+ points and pplease go to pic and answer it
Answer:
the answer is 30x+33
Kris has 3 daughters who all live in different cities across Georgia. She wants to live somewhere that is an equal distance from each of her daughters. She mapped out the 3 cities and drew a triangle connecting them. How can she find a point on the map that is an equal distance from all 3 cities?
construct the incenter
construct the orthocenter
estimate the best place
construct the circumcenter
===========================================================
Explanation:
Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.
This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.
To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.
-------------
Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.
Find each slope and y-intercept. Then graph each equation.
Answer:
1/2= slope
-3= y-intercept
Step-by-step explanation:
According to the formula, y=mx-b:
b= y-interceptm= slopehow has personal finance literacy affect you in your daily life?
Answer:
I have no idea. Is this a real question? If it, I'll answer it to the best of my ability. :)
Step-by-step explanation:
I need help I don’t get how to solve it plsss help me
Answer:
Step-by-step explanation:
They give you the equation, you must substitute the x values into the equation to find the y values.
Example on top equation:
y=-5x so the y values would be
y=-5(-1)=5
y=-5(0)=0
y=-5(1)=-5
y=-5(2)=-10
Which two statements are true
Answer:
Only 2nd option is the correct answer.
There is no other correct option given.
Step-by-step explanation:
Hope it helps you in your learning process.
The school band is selling t-shirts for a fundraiser. The initial cost for a steamer to apply the decals is $100. It is predicted that the cost of material for each shirt is $12. The function that shows the band's average cost per t-shirt after x t-shirts are sold is:
Answer: Vertical asymptotes is x = 0 and the horizontal asymptotes is y = 12.
The average cost approaches to 12 when the number of shirts increases.
Step-by-step explanation:
Since we have given that
Initial cost for a steamer to apply the declas = $100
Cost of material for each shirt = $12
Function representing the band's average cost per t-shirt after x t-shirt are sold is given by:
We need to find the vertical asymptotes , horizontal asymptotes and the average cost to make a t-shirt approaches as the number of t-shirts increases,
For vertical asymptotes , we will make denominator equal to zero.
So, it will be
Thus, vertical asymptotes is x= 0.
Similarly,
For horizontal asymptotes, we first check the degree of both numerator and denominator.
Since we can see that both have the same degree i.e. 1.
So,
So, the horizontal asymptotes is y = 12.
When the number of shirts increases ,The average cost to make a T-shirt approaches is given by
Hence, the average cost approaches to 12 when the number of shirts increases.
Answer:
The vertical asymptote is x = 0
The horizontal asymptote is y = 12
The average cost to make a t-shirt approaches $12 as the number of t-shirts made increases.
Step-by-step explanation:
A walkway goes through the middle of a square playground from one corner to the opposite corner. If the walkway is 20 meters long, how long are each of the sides of the playground? Round your answer to the nearest hundredths.
Need Help!
There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit
Answer:
v = 1
Step-by-step explanation:
volume of a cube = side cubed
1 cubed = 1
Answer:
answer is 1 cubic unit
hope this helps
ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =
Answer:
-38
Step-by-step explanation:
A motorcar is running at the rate of 66 km per hour. Each
of its wheels makes 500 revolutions per minute. Find the
radius of the wheel.
.(Ans: 35 cm)
Answer:
Given:
The radius of a wheel =r=35 cm=0.35 cm.
The speed it must keep =s=66 km/h=
60
66×1000
m/min=1100 m/min
To find out:
The number of revolution =n, it makes per minute to maintain that speed.
Solution:
The circumference =C of the wheel =2πr=2×
7
22
×0.35 m=2.2 m=C
The distance the wheel covers in 1 min=d=1100 m.
Now the distance =d covered by a wheel in one revolution = the circumference of the wheel.
∴ Here the number of revolution =n=
C
d
=
2.2
1100
=500.
Urgent please help..
Answer:
Dilation means a facor of So b=(-1,1) × 2= b'=(-2,2) I do exams and quizzes if your interestedAnswer:
(-2,2)
Step-by-step explanation:
Original is (-1,1) so just multiply by 2 so (-2,2)
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram,
A
В
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Answer:Hope this helps!
Step-by-step explanation:
Select all expressions that are equivalent to 16x − 12 − 24x + 4 by showing your work & explain your reasoning. 1)40x - 16 2)4 - 12 - 4x + (- 4x) 3) 8x - 8 4)-8 (r + 1)
Answer:
4 - 12 - 4x + (- 4x)
-8 (x + 1)
Step-by-step explanation:
16x - 12 - 24x + 4
16x - 24x - 12 + 4
-8x - 8
1)40x - 16 = not equivalent
2)4 - 12 - 4x + (- 4x)
4 - 12 - 4x - 4x
-8 - 8x = - 8x - 8 (equivalent)
3) 8x - 8 (not equivalent)
4)-8 (x + 1) = - 8x - 8 (equivalent)
(3x + 4) + (5x - 6) add or subtract horizontally
Answer:
[tex](3x+4)(5x−6)\\ 3x+4+5x−6\\\\3x+4+5x−6 \\3x−2+5x\\\\3x−2+5x\\8x−2\\\\8x−2[/tex]
Step-by-step explanation: all the a's are minuses
Plz help now
We toss a die 4 times. among all possible outcomes how many have at least one occurrence of 1?
Answer:
4/24
Step-by-step explanation:
please help me on this will give you brainliest!!
Answer:
0.926
Step-by-step explanation:
Since it ask as decimal you will have to 0. and then the number which 926. Hope this helps, thank you !!
i make games check me out
https://www.freeriderhd.com/u/thecoykid
click on created tracks and then click on a game to play
who ever tells me how they are AND plays them gets brainliest
Answer:
lolll i love those games rn im playing one abt a lil guy on a bike
I WILL MARK BRAINLIEST PLEASE HELP ASAP!!!!! Sketch a new graph of this relationship. The equation is y=7/4x
Answer:
Step-by-step explanation:
Which statement is correct?
O A.
The opposite of the opposite of 6 is 6.
OB.
The opposite of the opposite of 1 is 1.
O C.
The opposite of the opposite of 3 is 0.
O D.
The opposite of the opposite of 5 is.
Answer:
I think its OB but I'm not sure
Step-by-step explanation: