Answer:
If s₃ is the length of the 3rd side, the possible values are in the interval.
5 < s₃ < 19
Step-by-step explanation:
For a triangle, we know that the sum of any two sides is always larger than the other side.
So if a triangle has 3 sides:
s₁, s₂, and s₃, we have:
s₁ + s₂ > s₃
s₁ + s₃ > s₂
s₂ + s₃ > s₁
In this case, we know that two sides are:
s₁ = 7
s₂ = 12
And we want to find the possible values of s₃.
Then if we use the above inequalities, we get:
7 + 12 > s₃
7 + s₃ > 12
12 + s₃ > 7
With the first one we get:
19 > s₃
Now we can rewrite the other two as:
s₃ > 12 - 7 = 5
s₃ > 7 - 12 = -5
The first one is more restrictive than the second:
s₃ > 5 > -5
So we can use only the first one.
Then the two inequalities are
s₃ > 5
s₃ < 19
Then the range is:
5 < s₃ < 19
This means that any value between 5 and 19 can be a possible length of the third side (5 and 19 are not possible lengths)
A pocket contains 2 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime two times in a row, if the first coin drawn is not replaced?
Answer:
1/6
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability of choosing dimes twice = total number of dimes / total number of coins
At first pick = 4/9
because there is no replacement, dimes and total coins reduce by 1 and
second pick = 3/8
4/9 x 3/8 = 1/6
What is the r value of the following data to three decimal places x y 4 23 5 12 8 10 9 9 13 2
Answer: -0.903
Step-by-step explanation:
Some one plzzzz helpppp meeee
Answer: download photo math
Step-by-step explanation:
Which expression is not equivalent to 8 + (n - 4) ?
please help and show work
Answer:
?
Step-by-step explanation:
Find the missing dimension of the prism (Pic Provided)
find the mean of the following numbers 14,17,28,49
Answer:
27
Step-by-step explanation:
14 + 17 + 28 + 49 = 108
108 / 4 = 27
can anyone help?? I’ll give brainliest! :)
Answer:
I believe the answer is C
Which is the graph of y = cos(x) + 3?
1
N
0
Answer:N
Step-by-step explanation:
It's in the screenshot, please help, there's other questions to if you can help
Help plz :)no links plz
12/13
sin = opposite / hypotenuse
A sweater normally cost $35 there is a 25% discount what is sale price of the sweater? Include the $
Answer:
Sale price= $26.25
Step-by-step explanation:
Giving the following information:
Selling price= $35
Discount rate= 25%
To calculate the sale price of the sweater, we need to use the following formula:
Sale price= selling price*(1 - discount rate)
Sale price= 35*(1 - 0.25)
Sale price= 35*0.75
Sale price= $26.25
!!!!!I NEED HELP ASAP!!!!!
1
What is the product оf (9)(-9. (-1)
-81
-1
1
81
Answer:
81
Step-by-step explanation:
(-81)(-1) = 81
2. The pitcher had 1 quarts of water. After Lena poured some of the water into
a bowl, the pitcher had') quart of water left How much water was poured in
the bowl?
Fran and Lamar are walking they walk 5 kilometers frans starts walking at 45 meter per minute Lamar starts 5 minutes later at 50 meters per minute how many minutes will lamar catch up to fran how far will they have walk
Answer:
The time Lamar will catch up to Fran is 50.26 mins and they would have walked 2.5 km each.
Step-by-step explanation:
Given;
total distance walked by both Fran and Lamar, d = 5 km = 5,000 m
speed of Fran, = 45 m/min
speed of Lamar, = 50 m/min
Let the time Lamar catch up to Fran = t (mins)
At the time "t" Lamar would have walked a distance of 50(t),
At the time "t" Fran would have walked a distance of 45(t + 5)
The total distance they walked; d = 50t + 45(t + 5)
5000 = 50t + 45(t + 5)
5000 = 50t + 45t + 225
5000 - 225 = 95t
4775 = 95t
t = 4775/95
t = 50.26 mins
The distance walked by Frans: = 45 (50.26 + 5)
= 2487 m
The distance walked by Lamar: = 50 (50.26)
= 2513 m
[tex]a - 2 + 5a[/tex]
Answer:
[tex]6a - 2[/tex]
Step-by-step explanation:
[tex]a - 2 + 5a[/tex]
[tex]6a - 2[/tex]
Hope it is helpful...Solve the following quadratic function
by utilizing the square root method.
y = 16 – x2
PLEASE HELP ME ANSWER NEEDS TO HAVE AN EXPLANATION STEP BY STEP.
Step-by-step explanation:
As side of a square is a², so it will be
[tex]\tt{(\sqrt{2} - 3 \sqrt{5})^2}[/tex]
Refer to attachment, the answer is provided.
Hope it helps :)
A set of symbols that expresses a mathematical rule is called a ___________.
Answer:
Formula! Have a nice day!
Answer:
yo bro it formula
Step-by-step explanation:
can i get brainiest if im right
Please help! I will give brainliest!
Answer:
it's going to be c
Step-by-step explanation:
set a is an exponential function and the values increase at a faster rate than set B
For what value of x is the equation 2x−3-x+4=3 true?
Answer:
x = 2
Step-by-step explanation:
2x−3-x+4=3
combine like terms:
x + 1 = 3
x = 2
The equation is true for the value of x = 2.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given equation is as given below.
2x − 3 - x + 4 = 3
We have to operate the like terms together.
Here 2x and x are like terms and 3 and 4 are like terms.
(2x - x) - 3 + 4 = 3
x - 3 + 4 = 3
x + 1 = 3
Subtracting 1 on both sides,
x = 3 - 1
x = 2
Hence the equation is true for x = 2.
To learn more about Equations Solving, click on the link given below :
https://brainly.com/question/29284073
#SPJ6
The K.C. Juice Company plans to reduce the size of its original juice box, shown below. The new juice box will be 1 centimeter
shorter in height than the original box.
10 cm
KC
Apple
Juice
3 cm
7 cm
What is the difference between the volumes of the original and new juice boxes?
Answer: The difference is 21
Step-by-step explanation:
first find the volume of the first rectangler prism and write that number down. secound use the same equation but first change the height by 1 and then lastly subtract those two volumes to get your answer.
210-189=21
189+21=210
PLEASE HELP ME! I need this for a grade.
What is the coordinates of the focus for the following parabola -8(x-5)=(y+1)^2
By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)
How to locate the focus of a parabola
The standard equation of the parabola with an horizontal axis of symmetry is presented below:
[tex]x - h = \frac{1}{4\cdot p}\cdot (y - k)^{2}[/tex] (1)
Where:
h, k - Vertex of the parabola.p - Distance between the vertex and the focus.The coordinates of the focus is described by the following expression:
F(x, y) = (h + p, k)
If we know that h = 5, k = - 1 and p = - 2, then the coordinates of the focus are:
F(x, y) = (5 - 2, - 1)
F(x, y) = (3, - 1)
By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)
To learn more on parabolas: https://brainly.com/question/21685473
#SPJ1
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
(-2.5, 1) and (0.5, 5)
Step-by-step explanation:
The main idea is to divide the line into four segments.
so you find the midpoint between (-4, -1) and (2, 7), which is (-1, 3).
then you find the midpoint again between (-4, -1) (-1, 3) and (2, 7) (-1, 3), which is (-2.5, 1) and (0.5, 5).
How does the graph of f(x) = 3jx+2 +4 relate to its parent function?
A. The parent function has been translated to the left.
B. The parent function has been translated up.
C. The parent function has been compressed.
D. The parent function has been stretched.
Answer:
A,B,C
Step-by-step explanation:
The +2 in the absolute values means that it's translated to the left
The +4 on the outside means that it's translated up
The 3 means that it's compressed
Quadrilaterals ABCD and WXY Z are congruent.
B
A
X
Z
Which of the following sequences of transformations maps WXY Z onto ABCD
3. A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of 20 feet per second. The height h in feet of the ball is given by h= –16t + 20t +6,
where t is the time elapsed in seconds. How long will it take the ball to hit the
ground if no other players touch it? State the method you used to solve this
quadratic equation and why you chose that method.
Answer:
Part A
1.5 seconds
Part B
By substitution and factorization because h = 0 at ground level
Step-by-step explanation:
Part A
The height from which the soccer player heads the ball, h = 6 feet
The initial velocity of the ball, v = 20 ft./s
The height of the ball in feet, h = -16·t² + 20·t + 6
From the given equation of the ball, we have;
At the initial height, t = 0, from the given equation, h = 6
At the ground level, the height, h = 0, therefore, we get;
0 = -16·t² + 20·t + 6
Factorizing using a graphing calculator gives;
0 = 2 × (-8·t² + 10·t + 3) = -2 × (8·t² - 10·t - 3) = -2 × (2·t -3)·(4·t + 1)
∴ (2·t -3)·(4·t + 1) = 0
t = 1.5 or t = -1/4 = -0.25
Therefore;
The time it takes the ball to hit the ground, t = 1.5 seconds.
Part B
The method used in solving the given quadratic equation is by plugging in the value of 'h' as h = 0 in the given equation and factorizing the result because at ground level, the height, h = 0.
Is a trapezoid always a quadrilateral?
yes
no
Answer:
The correct answer is that all trapezoids are quadrilaterals. ... Trapezoids are four-sided polygons, so they are all quadrilaterals.
Step-by-step explanation:
hope it helped ( ◜‿◝ )♡
tina has 10 cards on her table she wrote letter z on 2 of them and the letter y on 8 of them whats the probability that someone picks a card with the letter z on it?
Answer:
1/5
Step-by-step explanation:
From the 10 cards, only 2 cards have the letter Z.
2/10 = 1/5
Answer:
1/5
Step-by-step explanation:
it is 2/10 so 1/5 thats
the probability that someone picks a card with the letter z on it?