A triangle has two sides of length 19 and 3. What is the largest possible whole number length for the third side?
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Explanation:
Consider a triangle with side lengths a,b,c such that a < b < c
a = 3 and b = 19 are the two known sides
Let c be the missing side length
The missing side has the property that...
b-a < c < b+a
19-3 < c < 19+3
16 < c < 22
Meaning that if c is a whole number then it can take on any of these values {17, 18, 19, 20, 21}
So c = 21 is the largest possible third side, where only whole number sides are considered.
We can't have a third side of 22 because the two other sides add to a+b = 3+19 = 22 and a triangle wouldn't form (instead only a straight line would). I recommend cutting out strings of paper trying this out yourself.
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Side note: The inequality b-a < c < b+a is a variation of the triangle inequality theorem.
how do you solve | -23.12 + .2361 | + 31.876 ?
Answer:
54.7599
Step-by-step explanation:
plzzzz
Select the equation of the line that passes through the point (3,-1) and is parallel to the line on the
graph. (2 points)
O y = -1
O y = 3
O y = x-1
O y = 3x - 1
Answer:
y = -1
Step-by-step explanation:
there is no graph
but only this answer passes the (3,1)
Please add picture next time
<3
Red
Lines q and r are parallel What is the value of x?
A.14
B. 22
C. 53
D. 70
Answer:
I'm pretty sure it is C
Step-by-step explanation:
If you look right above x, you will see that the triangle is the same size as the x triangle. So the are gonna be the same degrees. (53 degrees)
Answer:
53°( vertically opposite angles)
57°( alternative angles)
According to the above problem,
[tex]5x + 53 + 57 = 180 \\ 5x + 110 = 180 \\ 5x = 70 \\ x = \frac{70}{5} \\ \boxed{x = 14}[/tex]
(A) 14 is the right answer.3 3/5 divided by 18/25
46. Hannah walks dogs for four different families. She charges each family the same
amount of money per hour. The numbers of hours she worked last week walking
dogs for each of the families are shown.
14 hours, 2 hours, 13 hours
, 3 hours
Hannah earned $93 for the hours she worked last week walking dogs.
• Calculate the amount of money Hannah earns per hour for walking dogs
• Write an equation that can be used to determine the amount of money, m, in
dollars, Hannah earns when she works h hours walking dogs.
• Show your work or explain your answer.
Answer:
Hannah earns $2.9 per hour for walking dogsThe equation is m = $2.9hStep-by-step explanation:
From the question,
Hannah walks dogs for four different families and charges them the same amount of money per hour. Also, The numbers of hours she worked last week for each of the families are 14hours, 2 hours, 13 hours, and 3 hours.Hence, she worked for a total of (14 + 2 + 13 + 3) hours.
(14 + 2 + 13 + 3) hours = 32 hours
Hence, she worked for a total of 32 hours last week.
Also, she earned $93 for the hours she worked last weekTo calculate the amount of money Hannah earns per hour for walking dogs, that will be
$93 ÷ 32 hours = $2.9/hour
Hence, Hannah earns $2.9 per hour for walking dogs
For the equation that can be used to determine the amount of money, m, Hannah earns when she works h hours walking dogs,
If she works h hours for working dogs, then she will earn
$2.9 × h = $2.9h
Hence,
m = $2.9h
Where m is the amount of money Hannah earns in dollars
and h is the number of hours she spends walking dogs.
A car company can make 200 cars per day. How many weeks will it take to
make 5,600 cars?
Answer:
4 weeks
Step-by-step explanation:
5,600/200 = 28
28/7 = 4
Answer:
4 weeks
Step-by-step explanation:
200x7=1400
5600/1400=4
find the linear function from the table
the weekly profit of your cat grooming business is modeled by the expression 2x-15. your profit is more than $55 and at most $105 write your profit as an inequality
Answer:
55 < 2x-15 < 105
Step-by-step explanation:
Just set the equation less than and greater than the variables given
In about months, the populations of the two towns will be equal.
Ben Amstrong earns $13.57 an hour plus time and a half for weekend work. Last week he worked his regular 40 hours plus 8 hours on Saturday. What was his total pay for the week? A) $542.80 $651.36 B) C) $705.64 $759.92 D)
Answer:
$651.36
Step-by-step explanation:
13.57x48
x=???????? ASAPPppppp
Answer:
x=2
Step-by-step explanation:
12=12 2=2
the sides have the same x
Warren paid $23.85 and received no change. He is a member and rented 2 lanes. how many pairs of shoes did he rent?
MEMBERS COST: $2.95
i'm not sure how much the lanes are, so i'm gonna list the prices of pairs of shoes so you can just add the price of the lanes and find the answer:
1 pair - 2.95
2 pairs - 5.90
3 pairs - 8.85
4 pairs - 11.80
5 pairs - 14.75
6 pairs - 17.70
7 pairs - 20.65
8 pairs - 23.60
(thats the highest amount of shoes he could get)
Find the measure of the angle indicated below. 162 130 ?
Answer:
162 is greater than 130.. if that's what your are talking about..
100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) Two rental car companies costs are compared below. At what mileage is the cost for the two companies the same?
Answers:
15 miles
25 miles
They are never the same
20 miles
Answer:25
Step-by-step explanation:
Solve for x: u = k + yx
(-90) + (-20) + 100 =
A-210
B) 10
C) -10
D) 210
Answer:
C.
Step-by-step explanation:
(-90) + (-20) + 100 = -10
Hope I Helped! :)
Answer:
The solution is C. -10
Step-by-step explanation:
Before entering the solution, remember the formula first!
Addition
• (-) + (-) = (-)
• (+) + (+) = (+)
Subtraction
• (+) - (+) = can (-) and (+)
• (+) - (-) = (+)
Multiplication
• (-) x (-) = (+)
• (+) x (-) = (-)
Division
• (-) : (-) = (+)
• (+) : (-) = (-)
Solution:
(-90) + (-20) + 100
= -90 - 20 + 100
= -110 + 100
= -10 (the minus number is greater than the positive, then the result is minus)
If the domain of the sqaure root function f(x) is x <= 7, which statement must be true?
A) 7 is subtracted from from the x term inside the radical.
B) The radical is multiplied by a negative number.
C) 7 is added to the radical term.
D) The x-term inside the radical has a negative coefficient.
Answer:
D
Explanition:
PLEASE HELPPPP IS ALGEBRA 1 it’s easy i guess :/
puzzle time: what did the bowling pin say to the bowling ball
Answer:
please spare me
Step-by-step explanation:
ls this a function?
1234
2
3
44
Yes
No
Answer:
no
Step-by-step explanation:
this would not be considered a function
What is the range of the following relation? {(-4,1), (-2,0), (8,-1)}
Answer:
Range:{ 1 , 0 , -1 }
What is an equation of the line that passes through the points (5,4) and (2,-2)
Answer:
2
Step-by-step explanation:
Slope equation: (y2-y1)/(x2-x1)
y2 = 4, y1 = -2, x2= 5, x1 = 2
4 – -2 = 6
5 - 2=3
6/3 = 2
a rain barrel can hold 50 gallons of water if there are 32 gallons inside of it, what percent of the barrel is full?
The meter is the standard unit for:
weight
height
mass
length
p(x)=x⁴-2x³+2x²-3x+6 to (x-1)
Answer:
x⁴-2x³+2x²-3x+6 to (x-1) is
(x^3-x^2+x-2)*(x-1)+4
Which ordered pair is an solution of the equation? Y+5=2(x+1)
Answer:
only -1,-5
got it from khan academy
The scissor lift is a device that can lower and raise a platform. the scissor lift can raise the platform at a rate of 2.0 inches per second after t seconds is given by H=2.0t +35. after how many minutes will the lift be at least 50 feet off the ground
Answer:
i thank it is 25 seconds.
Step-by-step explanation:
The question is in the picture. You will get 15 points and brainiest if you answer it. I need it asap as this is due in 12 minutes.
Answer:
constant proportanality is 12 k=12
Step-by-step explanation:
because 5 time 12= 60 and it keep going and going
Which of these place values is found to the left of 10?
tenths
hundreds
ones
thousands
Answer:
Hundreds
Step-by-step explanation:
In order from right to left, place value is:
[tex]Ones (1)[/tex]
[tex]Tens (10)[/tex]
[tex]Hundreds (100)[/tex]
[tex]Thousands (1000)[/tex]
And so on....
In the above order from right to left, the next after 10 is hundreds.
Hence;
Option B answers the question.