Answer:
[tex]\sqrt{26}[/tex] unitsStep-by-step explanation:
The median is the line segment connecting the vertex with the midpoint of the opposite side.
The midpoint has coordinates:
x = (-3 + 5)/2 = 2/2 = 1y = (3 + 1)/2 = 4/2 = 2Use the distance formula to find the distance between points (2, 7) and (1, 2):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d=\sqrt{(1- 2)^2+(2-7)^2} =\sqrt{1+25} =\sqrt{26}[/tex]Step-by-step explanation:
the formula for the length of a median based on the 3 side lengths is
m = sqrt(2AB² + 2AC² - BC²)/2
where BC is the side opposite of the indicated vertex.
let's say
A = (2, 7)
B = (-3, 3)
C = (5, 1)
AB² = (2 - -3)² + (7 - 3)² = 5² + 4² = 25 + 16 = 41
AC² = (2 - 5)² + (7 - 1)² = (-3)² + 6² = 9 + 36 = 45
BC² = (-3 - 5)² + (3 - 1)² = (-8)² + 2² = 64 + 4 = 68
m = sqrt(2×41 + 2×45 - 68)/2 = sqrt(82+90-68)/2 =
= sqrt(104)/2 = sqrt(104/4) = sqrt(26) =
= 5.099019514...
The dimensions of the base of an office building are 5.5 x 10^4 feet by 3.45 x 10^5 feet. What is the perimeter of the base of the building, in feet?
Answer:
8×10^5
Step-by-step explanation:
Perimeter= 2( length + width)
= 2(34.5 × 10⁴ + 5.5 × 10⁴)
= 2(40 × 10⁴)
= 80 × 10⁴
= 8 × 10^5 feet
What is the equation of the line that passes through the points (-4, 2) and (-2, 10)?
Answer:
y=4x+18
Step-by-step explanation:
HOPE THIS HELPS :)
Someone please help. How can I solve this question?
Answer:
∠ LKJ = 64°
Step-by-step explanation:
Since KJ = KL then the triangle is isosceles with the 2 base angles being congruent, that is
∠ J = ∠ L = 58° , then
∠ LKJ = 180° - 58° - 58° = 180° - 116° = 64°
PLS HELP ILL MArk BRAINLIEST!!
960 cubic ft
Step-by-step explanation:
I'm just super smart looool
Steph makes 90 % 90%90, percent of the free throws she attempts. She is going to shoot 3 33 free throws. Assume that the results of free throws are independent from each other. Let X XX represent the number of free throws she makes. Find the probability that Steph makes exactly 1 11 of the 3 33 free throws. You may round your answer to the nearest hundredth. P ( X = 1 ) =
Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
He makes 90% of the free throws, hence [tex]p = 0.9[/tex].He is going to shoot 3 free throws, hence [tex]n = 3[/tex].The probability that he makes exactly 1 is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027[/tex]
0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
Answer:
0.03
Step-by-step explanation:
I just did it on Khan
For 18-20, factor each of the following and show work.
18. 5x^4 - 25x
19. 4x^2 - 9
20. x^2+8x+12
Step-by-step explanation:
20. x^2+8x+12
x^2 + 6x +2x + 12
X(X+6) + 2(X+6)
(X+2) (X+6)
18. 5x^4 - 25x
5x(x^3-5)
19. 4x^2 - 9
4x^2/4 -9/4 = 0/4
x^2 = 9/4
X=√9/4
A farmer picks 8 oranges in 2 minutes. The farmer continues to pick oranges at this rate. How many minutes does it take the farmer to pick 56 oranges?
Answer:
it takes the farmer 14 minutes to pick 56 oranges.
Step-by-step explanation:
8 Oranges in 2 minutes. To find the number pick in 1 minute, we need to divide the number picked by the amount of time it took.
8/2=4
Now we know the farmer picks 4 oranges in a minute. So to fid how many minutes it took to pick a certain number of oranges, we need to divide that number by four.
56/4=14
I takes 14 minutes for the farmer to pick 56 oranges.
The farmer picks the 56 oranges in 14 minutes.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As given in the question, A farmer picks 8 oranges in 2 minutes. The farmer continues to pick oranges at this rate is to be determined.
unit rate of picking oranges = 8 / 2 = 4 oranges per minute
Now,
Time to pick 56 oranges = 56/4
= 14 oranges
Thus, the farmer picks the 56 oranges in 14 minutes.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Which of the following
Answer:
which of the following what??
Step-by-step explanation:
..
The square root of a certain number is 9.5671 . The certain number is between which 2 integers?
Answer:
91 & 92
Step-by-step explanation:
Answer:
9.5671*9.5671=91.52940241
between 91 and 92
Hope This Helps!!!
Plsssss help me this needs to be done ASAPPP
Answer:
6 and 3
Step-by-step explanation:
Mutiply and will get your aswer correct
Sam the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday
there were 5 clients who did Plan A and 3 who did Plan B. on Thursday there were 7 clients who did Plan A and 9 who did Plan B. Sam trained his Wednesday
clients for a total of 6 hours and his Thursday clients for a total of 12 hours. How long does each of the workout plans last?
Length of each Plan A workout:
Length of each Plan B workout:
Answer: 45 minutes for BOTH workouts
Step-by-step explanation:
Let time for plan a be x
Let time for plan b be y
On Wednesday
# of clients for plan a are 5
# clients for plan b are 3
On Thursday
# of clients for plan a are 7
# of clients for plan b are 9
Wednesday eqn --> 5x+3y=6
Thursday eqn --> 7x+9y=12
Multiply Wednesday equation by -3 and use elimination to solve
-15x-9y=-18
7x+9y=12
-8x=-6
x=6/8
Reduce: x=3/4 hour
Substitute x=3/4 into Thursday equation
7(3/4)+9y=12
9y=27/4
y=3/4
Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes
Which expression represents how many years are in X months
Answer:
12 months is one year so the expression is:
Step-by-step explanation:
2year = 2(X)
so you know one year 12 months you can put 12 on the x value
2 years = 2(12)
2 years = 24 months
Will mark brainly!! :)
What is the inverse of [tex]f(x)=-2x+7\\[/tex]
[tex]f^{-1} (x) =2x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-2x+7[/tex]
[tex]f^{-1} (x)=\frac{1}{2}x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-\frac{1}{2} x+\frac{7}{2}[/tex]
Answer:
[tex] {f}^{ - 1} (x) = - \frac{1}{2} x + \frac{7}{2} [/tex]
choose the number that is less than:3.15 x 10A.1.11 x 10B.9.9 x 10C.36,500D.3.26 x 10
How many ink cartridges can you buy with 225 dollars if
one cartridge costs 15 dollars ?
Answer:
The answer is 15!
Step-by-step explanation:
225 divided by 15 is 15! Hope this helps! :)
(If someone is online)pls help me to answer this question
Answer:
The correct answer is yes.
Step-by-step explanation:
I can help you. What do you need? :)
Which description best describes the three-dimensional object
that is formed when the shape is rotated about the axis as
shown?
Answer:
cylinder
Step-by-step explanation:
a cylinder would be formed, as the rotation forms a circular base and a rectangular body which can be seen in a cylindrical net.
Answer: A Hollow Cylinder
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!
It takes 2 ½ spoons of chocolate to make ⅗ gallon of chocolate milk. How many spoons of chocolate would it take to make 1 gallon of chocolate milk?
Answer:
5 spoons
Step-by-step explanation:
2 1/2 +2 1/2=5
so the answer would be: it takes 5 spoons to make a gallon of chocolate milk
Pilar used five reusable shopping bags on a recent purchase she made at a grocery store. Each bag decreased the amount she spent by 5 cents. What was the change to the amount Pilar spent at the grocery store by using the reusable bags?
A.
-10 cents
B.
25 cents
C.
-25 cents
D.
10 cents
Answer:
B
Step-by-step explanation:
5x5 = 25
She used 5 bags and saved 5 cents on each one.
1 - 5, 2 - 10, 3 - 15, 4 - 20, 5 - 25.
Hope that helps
what are the coordinates of the circumcenter of this triangle
Answer:
We can find circumcenter by using the circumcenter of a triangle formula, where the location of the circumcenter is O(x,y) and the coordinates of a triangle are given as A(x1,y1),B(x2,y2) and C(x3,y3) A ( x 1 , y 1 ) , B ( x 2 , y 2 ) a n d C ( x 3 , y 3 ) .
Step-by-step explanation:
Without using your calculator, work out 27 -
Give your answer as a fraction in its lowest terms.
You must show each step of your working.
Answer: So, 27 as a fraction would be 27/1 i guess? lol
Answer:
27/1 it's correct answer
I need someone to help me who’s really good at 7-8th grade math :)
Answer:
You should write a math example
How to solve 9/11 * —- = 3/4
Answer: 9/11 diveded by 3/4
Step-by-step explanation: divde to get middle answer
the sum of six and two times a number is one
Answer:
Equation: 6+2x=1
Step-by-step explanation:
Sum means addition and just add an x for the 2 times a number and set it equal to 1.
What is the value of e?
HURRY IN TEST!!
Which of the following number lines shows the solution to the inequality given below?
2x − 3 < -9 OR 2x − 3 > 3
Answer: B.
Steps:
solve the inequalities
x <= -3
x>3
match to number line
answer B
Answer:
#LINE B
Step-by-step explanation:
(make sure to look at the color and direction of the arrow)
Does the table represent a function? Why or why not?
Answer:
B
Step-by-step explanation:
A function is happens when each input only has one output. In this table 4 and 5 have the same output, therefore this is not a function.
The cost of a jacket increased from $60.00 to $71.40. What is the percentage increase of the cost of the jacket?
Answer:
19%
Step-by-step explanation:
Percentage increase = ( (final value - original value) / original value ) x 100
= ( ($71.40 - $60.00) / $60.00 ) x 100
= 19%
[tex]71.40 - 60 = 11.40[/tex]
to find the increase of percentage, divide the amount of increasing price with intial price and multiply with 100%
[tex] \frac{11.40}{60} \times 100\% = 19\%[/tex]
so the cost of jacket has increased 19%
the area of a triangle is 162 square meters. the height is 18 meters. what is the base
Answer:
Triangle Area = (1/2) * base * height
base = 2 * Area / height
base = (2 * 162) / 18
base = 324 / 18
base = 18 meters
Step-by-step explanation: