The sets of side lengths that can produce a triangle are
2 cm, 7 cm, and 6 cm2 m, 5 m, and 7 m6 ft, 6 ft, and 12 ftThe triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.
That is, in a given triangle of sides a, b and c,
a + b ≥ c
Analysing the sets of the side lengths given,
In triangle 2 cm, 7 cm, and 6 cm,
2 + 6 = 8,
Therefore 8cm which is greater than the third side being 7cm makes this side lengths possible to produce a triangle.
In triangle 2 m, 5 m, and 7 m,
2 + 5 = 7
Addition of both sides of the triangle is equal to the third side being 7m.
In triangle 6 ft, 6 ft, and 12 ft,
6 + 6 = 12
Addition of both sides of the triangle is equal to the third side being 12ft
Therefore the sets of side lengths could produce a triangle are
2 cm, 7 cm, and 6 cm
2 m, 5 m, and 7 m
6 ft, 6 ft, and 12 ft
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Cam, Yusef, and Spencer have resolved to drink more water each day. The recommended amount of water per day is 64 ounces.
a. Cam has 10% of the recommended amount of water left to drink before bed. How many ounces of water does she need to drink to reach her goal? Show your work and/or explain your reasoning.
9514 1404 393
Answer:
6.4 ounces
Step-by-step explanation:
10% of 64 ounces is ...
0.10 × 64 = 6.4 . . . . ounces
Cam needs to drink 6.4 ounces to reach the recommended amount.
A cargo plane flew from the US across the Atlantic at 280 mph, and flew back to the US at 300
mph. Given that the first trip took two hours longer, how long was the return trip?
Answer:
Step-by-step explanation:
300t=280(t+2)
300t=280t+560
20t=560
t=28
. The coordinates of a rectangle are (4,2), (4,-3), (-2, -3) and (-2, 2). In square units, what is the area of this rectangle? units
Answer:
24 units^2. :)
Name the marked angle in 2 different ways.
Answer:
acute is one of the i hope this helps
which function can be used to find y
Answer:
H
Step-by-step explanation:
-4000 is the slope
pick a point
y = -4000x + 20000
Which value is MEAN of the data set?
A)
480
B)
485
500
D)
The MEAN cannot be determined from the available information.
Answer:
500
Step-by-step explanation:
I believe the answer is D) The mean cannot be determined from the available information.
The mean in math means the sum of all the numbers divided by how many numbers there are. There is no information about how many numbers there are nor any information of which numbers exist and which numbers don't.
The data set only tells us the first number, last number, and median-- things a box-and-whisker plot would tell us; perhaps a different way of representing data would work better to help us find the median like a dot plot or a bar graph.
If this is incorrect, please, don't refrain to tell me. Thank you.
What is the simplified form of the following expression?
(N^5)(N^2)
1. N^25
2. N^10
3. N^7
4. N^3
Answer:
3
Step-by-step explanation:
same base multiplying, you add exponents
Answer:
3. N^7
Step-by-step explanation:
When we multiply N^5 and N^2 we keep the base of N and add 5 and 2. Giving us N^7
Write the series using summation notation.
-2 +4-8 + 16 - 32
Answer:
Σ (-2)^n
n=1
Hope this helps
Please help asap due in 30 mins please be proper.
Answer:
18sqrt5 or 40.249
Step-by-step explanation:
by pythagorean theorem
Hypotenous^2=altitude^2+base^2
c^2=a^2+b^2
c^2=(18)^2+(36)^2
c^2=324+1296
c^2=1620
taking sqrt root
c=18sqrt5=40.249
Answer:
in right angled triangle BCD
by using Pythagoras law
P²+B²=H²
A²+B²=C²
36²+18²=x²
x=√1620=18√5m
x=18√5 m is your answer
Help me ? Pleaseeeee ??!!!
Answer:
57
Step-by-step explanation:
if 1 = 123 degrees, and the angles add up to 360, then 6 would be 57. Because you would do 123 is 5 and 8, and so 246 is adding those angles. So now you have 7 and 6. 360 - 246 is 114, and since 7 and 6 are equal, just divide that by 2
A social networking site currently has 28,000 active members per month,
but that figure is dropping by 5% with every month that passes. How
many active members can the site expect to have in 2 months?
I need help with a. b. c. And d.
If 80 students were surveyed, how many
preferred math?
Answer: 12 students preferred math
Step-by-step explanation:
Take this equation
80(n)
n will equal (0.15) for the 15% surveyed who preferred math
80(0.15)
12
The function table below represents the linear function y = 4x – 3. Which answer represents the outputs of the function table
Answer:
Here we can not see the options, so i will answer in a general way.
When we have a function y = f(x), we define:
x as the input
y as the output.
so f(x) is some kind of "machine", in wich we put an input x, and the "machine" does something and returns an output y.
In, this case, we have:
y = f(x) = 4*x - 3
then if we give this function different inputs, we will get different ouputs.
for example, if we use the input x = 0, then the output is:
y = f(0) = 4*0 - 3 = -3
Then if we made a table for inputs and outputs, we will have the data:
[tex]\left[\begin{array}{ccc}inp&out\\x&y\\0&-3\end{array}\right][/tex]
We can rewrite this table in a general way as:
[tex]\left[\begin{array}{ccc}inp&out\\x&4*x - 3\end{array}\right][/tex]
This means that for every input x, the output is always 4*x - 3.
To complete this type of tables, we usually use different values of x, for example here I will use some different ones:
y = f(3) = 4*3 - 3 = 12 - 3 = 9
y = f(10) = 4*10 - 3 = 40 - 3 = 37
y = f(-1) = 4*-1 - 3 = -4 - 3 = -7
Then we will have a table like:
[tex]\left[\begin{array}{ccc}inp&out\\3&9\\10&37\\-1&-7\end{array}\right][/tex]
Concluding, the thing that will always represent the output of our function is: 4*x - 3.
Find the range of values for which
x2 - 6x + 8 < 0
Answer:
Step-by-step explanation:
Factor
x^2-6x+8<0
(x-2)(x-4)<0
For this to be less than zero the factors must have opposite signs.
x>2 and x<4
2<x<4
So x is all real numbers between 2 and 4 or in interval notation
x=(2,4)
need help ASAP !!!
[tex] \sqrt{684 \times 684} [/tex]
Answer:
√(684×684)=√684²=±684
Which expression is equivalent to – 2( –8v – 4)+6v?
Answer:
-2(-11v-4)
Step-by-step explanation:
PLEASE HELP!!!!
A bag contains 25 marbles (5 red ones, 8 blue ones and 12 yellow ones.) When a marble is picked at a random one at a time from the bag and not put back into the bag, what is the chance of picking a yellow one twice in a row?
Answer:
12/25 and 12/24
Step-by-step explanation:
Answer:
12 over 25 and 11 over 24
Step-by-step explanation:
12 yellow marble out of 25 then you take one away because a marble wasn't put back into the bag so 11 over 24
okay but like y=mx+b
what are the next 3 numbers in this pattern?
24, 17, 10, 3, -4
**if could, please tell me how you found those numbers**
Can someone please help?
Answer:
JUST USE THE CALCULATOR DUHHH!!!
-1/2 x 1/3 ANSWER PLEASE!!'
Answer:
-1/6
Step-by-step explanation:
-1
6
-1*1= -1
2*3= 6
pease help me i really need this
Answer:
2:140
1:70
Step-by-step explanation:
:)
What is the simplest form of 2(sqr rt) 3/ (sqr rt) 6??
Answer:
Option A will be your answer
Step-by-step explanation:
hope it's helpful...
t/3+9=12 what does this mean in algerba
Answer:
t=9
Step-by-step explanation:
subtract 9 from both sides
t/3=3
t=9
The bill for car repairs is $425 for parts and labor. The cost of parts is $226 and labor is $36.00 per hour. If h represents the number of hours of labor, which equation can you use to find the number of hours of labor?
Group of answer choices
226 = 425 – 36h
226(h + 226) = 425
36 + 226h = 425
36h + 226 = 425
Answer:
the third one
Step-by-step explanation:
36+ 226h=425, I hope this helps:)
Mary is buying a case of water. She spends $7.99 for a case of 24 bottles. What is the unit rate? (Cost for 1 bottle) *
Answer:
so I'm not 100% sure but in these types of questions you are supposed to divide
so you have a pack of 24 bottles for 7.99
so you would do 7.99÷24 = 0.33
then to check it you can multiply
0.33× 24 bottles and it gives you 7.93 which is super close to 7.99 anyway I hope this helps ...
The total bill for drinks and a pizza for three people is $14.90 before tax. The group wants to leave a 15% tip on the cost of the food, not including tax. What will be the amount of the tip?
Answer:
$2.24
Step-by-step explanation:
Since we are trying to find a percentage of something, we can multiply whatever we're trying to find a percentage from by 0.X where X is equal to the number of the percentage. So in this case it's 15%. We can multiply $14.90 by 0.15 and we get 2.23500. Since we cannot have 2.235 dollars, we must round up decimal places.
The tip would be 2 dollars and 24 cents. ($2.24).
Select the correct volume formula for a cone.
Answer:
1/3 pie r square h ( 2nd option)
Step-by-step explanation:
What is the equation of the midline of the graph of y=2cos(x/4)−3
Answer:
y = -3
Step-by-step explanation:
y=2cos(x/4)−3
range of cos α : -1 ≤ cos α ≤ 1
-2 ≤ 2cos(x/4) ≤ 2
-5 ≤ 2cos(x/4)−3 ≤ -1 (-2-3= -5 and 2-3= -1) ....Range ( 2 x Amplitude)
midline: midline of y = -1 and y = -5 y = -3