The values less than 4 or greater than 14 cannot be the length of the third side
Which cannot be the length of the third side?From the question, we have the following parameters that can be used in our computation:
Side lengths of 9 and 5.
Represent the third length of the triangle with x
So, we have the following representation (using the triangle inequality theorem)
a + b ≥ c.
Substitute the known values in the above equation, so, we have the following representation
9 + 5 ≥ x
9 + x ≥ 5
5 + x ≥ 9
Evaluate the sum
14 ≥ x
x ≥ -4
x ≥ 4
So, we have
14 ≥ x
x ≥ 4
Combine
4 ≤ x ≤ 14
This means that values less than 4 or greater than 14 cannot be the length of the third side
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The measure that cannot be the length of the third side is 14. Option
How to determine the lengthAn important rule to remember about triangles is called the third side rule:
Third side rule of triangles states that;
The length of the third side of a triangle is less than the sum of the lengths of the other two sides and greater than the (positive) difference of the lengths of the other two sides.
For this triangle, the length of the third side must be greater than
9- 5= 4
Also, the length of the third side must be less than
9 + 5 = 14
Hence, all the answers are possible except for answer D, which is equal to 14 but not less than 14.
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The Complete question is added as:
A triangle has side lengths of 9 and 5. Which of the following cannot be the length of the third side? *
a. 4
b. 5
c. 11
d. 14
A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t^2+90t gives the height h of the ball after t seconds.
a. Find the maximum height of the ball.
b. How many seconds will it take for the ball to reach the ground?
The ball reaches a height of 126.58 ft after 2.8125 seconds
Step-by-step explanation:
The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(90)/2(-16)
-90/-32
2.8125 seconds
Now to find the height, we input that value in for t
h = -16t^2 + 90t
h = -16(2.8125)^2 + 90(2.8125)
126.58 feet
Can someone pls help me find the area of this please
12.56
Step-by-step explanation:
A = π x r^2
r =2
2^2 = 4
π × 4 = 12.56
Type the correct answer in each box. Round your answers to the nearest dollar.
These are the cost and revenue functions for a line of 24-pound bags of dog food sold by a large distributor:
R(x) = -31.72x2 + 2,030x
C(x) = -126.96x + 26,391
The maximum profit of $ Blank
can be made when the selling price of the dog food is set to $ Blank
per bag.
there are two answers
Answer:
$10,277.32
Step-by-step explanation:
Given the revenue and cost function
R(x) = -31.72x^2 + 2,030x
C(x) = -126.96x + 26,391
The profit function is expressed as;
P(x) = R(x) - C(x)
P(x) = -31.72x^2 + 2,030x-(-126.96x + 26,391)
P(x) = -31.72x^2 + 2,030x+126.96x - 26,391
P(x) = -31.72x^2 + 2,030x+126.96x - 26,391
P(x) = -31.72x^2 + 2,156.96x - 26,391
To have maximum profit, d
The maximum profit dP/dx = 0
dP/dx = -63.44x+2156.96
-63.44x+2156.96=0
63.44x = 2156.96
X = 2156.96/63.44
x = 34
Get the profit
P(34) = -31.72(34)² + 2,156.96(34)- 26,391
P(34) = -36668.32+73336.64-26391
P(34) = 10,277.32
Hence the maximum profit that can be made is $10,277.32
whats 5^4/5+4 please help
PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.
Find the volume of a cone with a height of 8in and a base radius of 3in.
Use the value 3.14 for pi, and do not do any rounding. Be sure to include the correct unit in your answer.
Answer:
75.36 in3
Step-by-step explanation:
Mark me brainliest?
2(3x - 2) = 2(x – 7)
Select the three ratios that represent the numbers of blue marbles to red marbles, there are 6 blue marbles and 9 red marbles
Answer:
6:9 or (2:3)
Step-by-step explanation:
A ratio is a term that gives comparison of values. It helps to determine
how much of a particular thing that is compare to other thing.
Given:
numbers of blue marbles= 6
numbers of red marbles= 9
Hence, ratios that represent the numbers of blue marbles to red = 6:9
We can reduce it using factor of 3, hence the ratio becomes(2:3)
You have 35 yards of ribbon for your gift boxes. Each box gets the same amount of ribbon. How much ribbon will each of your 30 gift boxes get? ←
(HELP ILL GIVE BRAINLY PLEASE)
Answer:
4 is 2059
5 is 6xy^2
Step-by-step explanation:
Find the surface area of the house. Remember that inside pieces don't count. Here's a picture. I'm giving out 50 points. Please help.
Answer:
68
Step-by-step explanation:
Will give brainliest! Please help
Answer: 1,2,3,4,5
1a,3b,5c,2d
Step-by-step explanation:
The height of the right circular cylinder shown below is 10 feet and its base has a radius of 4 feet. A. B. C. D.
Answer:
502.4ft^3
Step-by-step explanation:
Given data
Height= 10ft
radius= 4 ft
Hence the volume for the cylinder can be gotten as
v= πr^2h
v= 3.14*4^2*10
v=3.14*16*10
v=502.4ft^3
Therefore the volume of the cylinder is 502.4ft^3
can you please solve this
Three friends share 1/4 pan of brownies what fraction of the whole pan of brownies does each friend get
Answer:
1/12
Step-by-step explanation:
1/4 ÷ 3 = 1/4 x 1/3 = 1/12
1)encontre a fraçao geratriz das dizimas periodicas simples a seguir
what is the area of the figure below?
Answer:
250
Step-by-step explanation:
You have to find the triangle area and the rectangle and then add them.
Rectangle - 10*20 = 200
Triangle - (10*10)/2 = 50
Area - 200 + 50 = 250
Pls answer this I will give 10 points and brainlest for 4 to 6 answers
Answer:
wheres the question
Step-by-step explanation:
PLEASE HELP WITH THIS MATH EQUATION AND HELP ME HOW TO SOLVE ITTT
Answer: points (2,6) represent the point of intersection where two lines meet
Step-by-step explanation:
The lines meet at that point
The Rodriguez family ate One-third of a pan of brownies, and they plan to divide the remaining brownies into two equal parts. They will take one part to their block party and the other part to share with co-workers. How much of the whole pan of brownies will each place get?
A model has 2 shaded parts and 1 unshaded part.
One-sixth
One-third
One-half
Two-thirds
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!
Answer:
plant cell only : cell wall is outer structure, may contain chloroplasts, has cytoplasm
animal cell only : produces waste, can have an irregular shape, contains DNA, maintains homeostasis,cell membrane is outermost part
both: everything that's left
An art dealer makes 17.5% commission on every painting sold. If a painting sold for $1,500, what was the commission?
Answer:
262.5 dollars
Step-by-step explanation:
17.5% of 1500 is 262.5
Answer:
262.50
Step-by-step explanation:
change 17.5% into 0.175 then multiply it by 1,500
Select the scenario that could be modeled by each of the given equations. For each equation, the variable c represents the cost and the variable n represents the number of items.
Answer:
c = 1.41n i think lol
Step-by-step explanation:
Answer:
The correct answers are these.
Step-by-step explanation:
If you bought a stock last year for a price of $103, and it has risen 7% since then, how
much is the stock worth now, to the nearest cent?
Answer:
the stock is worth $110.21
Step-by-step explanation:
The first thing you want to do is multiply 0.07 and 103, to find out what 7% of 103 is. When you multiply those two numbers you are going to get 7.21. You are then going to add 103 and 7.21 to find out how much it would be worth now.
Answer:
$110.21
Step-by-step explanation:
well 7% of 103 is 7.21 so if you add that to 103 it = 110.21
Which of the following words/phrases does not belong? rate of change, y-intercept,slope, change in y/change in x HURRY ILL GIVE BRAINLEST
Answer
rate of Change is the odd one I think
a baker made 192 trays of muffins. they were 14 muffins in each tray. how many muffins were there in all?
slope = - 2/5; y-intercept = 0
HELP!!!!!!!!!!!
Answer:
To form the equation, it would y = -2/5x
Step-by-step explanation:
find the solution to the system of equations.
Solve for y pls help 10 points
Answer:
y = C/8 + 2
Step-by-step explanation:
C = 8(y - 2)
C = 8y - 16
8y = C + 16
y = C/8 + 2
IM NOT SMART SUBSTITUTION METHOD AGAIN
Answer:
x = 6
y = -3
Step-by-step explanation:
15x + 31y = -3
we are given that x =( - y + 3 )
so in the equation 15x + 31y = -3 we substitute "x" for ( -y + 3 ) and we solve for y
so 15 ( -y + 3 ) + 31y = -3
now we use basic algebra to solve for y
step 1 distribute the 15
15 * -y = -15y
15 * 3 = 45
now we have 45 - 15y + 31y = -3
step 2 combine like terms
-15 + 31y = 16y
now we have 45 + 16y = -3
step 3 subtract 45 from each side
-3 - 45 = -48
45 - 45 cancels out
now we have 16y = -48
step 4 divide each side by 16
16y/16=y
-48/16=-3
we're left with y = -3
Now to find x we substitute -3 for y in x = -y + 3
* substitute *
x = - ( -3) + 3
the two negative signs cancel out and we get x = 3 + 3
3 + 3 = 6
we're left with x = 6
Which quadrant point (0,2) is located in the coordinate plane
Answer: It would be on the first quadrant plane or I quadrant
Step-by-step explanation: first the x 0 so you do nothing then y says go up 2 so you do and you end up in the first quadrant place hope this helps
