Blanking on how medians in a triangle work
A median cuts a leg of a triangle in half. So for instance, PF being a median means that DP and PE are congruent and have the same length. Consequently, each component triangle (that is, ∆DPC, ∆EPC, ∆EQC, etc) all have the same area.
If A is the area of ∆PCE, then the area of ∆PFE is 3A.
Take PF = 24 to be the base of ∆PFE, and take PC to be the base of ∆PCE. The area of any triangle is equal to 1/2 times the base times the height. But ∆PFE and ∆PCE share the same height (you can see this by dropping an altitude from the vertex E down to the line containing PF), so PC is 1/3 the length of PF, so FC must be 2/3 the length of PF.
So FC has length 2/3 × 24 = 16.
what is the answer pls i need help
Answer:
A because you have to mutiply 3 x 2 and it gives you 6
Review
What is the length of the unknown side length?
Perimeter is 750 meters
What is the length of the unknown side length?
Answer:
300 meters
Step-by-step explanation:
250+150+50+x=750
450+x=750
x=750-450=300
Substitute x=y+1 into the expression 3x -1 and determine the first step
Answer: the solution becomes 3=y+1-1
Step-by-step explanation:
The first step is to combine like terms meaning you subtract 1-1. Then you are left with 3=y.
illustrates whather the two ratios are equal or not using cross 3/27, 1/9
Answer:
They are equal
Step-by-step explanation:
Given
[tex]\frac{3}{27}\ and\ \frac{1}{9}[/tex]
Required
Determine if they are equal
We start by equating both:
[tex]\frac{3}{27} = \frac{1}{9}[/tex]
Cross Multiply
[tex]3 * 9 = 1 * 27[/tex]
[tex]27 = 27[/tex]
Because both sides of the equation are equal, then the ratios are equal
8.3 + 3.4y - 0.5 (12y - 7)
Answer:
-2.6y + 11.8
Step-by-step explanation:
Distribute -0.5 into 12y and -7 to get to this equation, 8.3 + 3.4y - 6y + 3.5. Combine the two like terms together to get your answer which is -2.6y + 11.8.
a) Two cards are dealt off a well-shuffled deck. You win $1 if the two cards are
of different suits. Find the probability of your winning?
b) A coin is tossed 5 times. What is the probability that the first toss is a head
or exactly 2 out of the five tosses are heads?
c) In a shuffled 52-card deck, what is the probability that neither the top nor
the bottom card is a heart?
d) A bag contains 20 red marbles, 20 green marbles and 20 blue marbles. You
reach in and grab 15 marbles. What is the probability that they are all the
same colour?
Answer:
A.) 0.7647 b.) 13/ 16 C.) 0.9412 D.) 8.743 * 10^-10
Step-by-step explanation:
A)
Number of cards per suit = 13
Nunber of suits = 4
Probability = required outcome / Total possible outcomes
P(1) = probability of picking a card from a certain suit
P(1) = 13 / 52
Hence, probability that 2nd card will be from a suit different from the first :
Total possible outcomes = (52 - 1) = 51
Required outcomes = (13 * 3) = 39
= 39 / 51
= 0.7647
B.)
First toss being head :
Required outcome = H = 1
Total possible outcomes = T or H = 2
P(H) = 1/ 2
For 5 tosses
Total possible outcomes = 2^n = 2^5 = 32
Exactly 2 heads = 10
P(exactly 2 heads) = 10/32 = 5/16
1/2 + 5/16 = (8 + 5) / 16 = 13/16
c)
1 - P(both top and bottom are hearts)
Number of hearts = 13 ; number of cards = 52
P(both are hearts) = 13/52 * 12/51 = 0.05882
1 - 0.05882
= 0.94117
= 0.9412
d)
Either all marbles are red OR all marbles are green OR all marbles are blue
Total number of marbles = (20 + 20 + 20) = 60
Probability that all 15 marbles are of a certain color :
(20/60 * 19/59 * 18/58 * 17/57 * 16/56 * 15/55 * 14/54 * 13/53 * 12/52 * 11/51 * 10/50 * 9/49 * 8/48 * 7/47 * 6/46)
(2.9146E−10) + (2.9146E−10) + (2.9146E−10)
= 8.7438E−10
= 8.743 * 10^-10
Delta Airlines' flights from Boston to Seattle are on time 70 % of the time. Suppose 6 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 4 flights are on time is
Answer:
P(at least 4) = 0.74431
Step-by-step explanation:
Here
Probability of the flights on time is = 70% = 70/100= 0.7
q= 0.3
n= 6
As the probability of success and failure is constant and the n is also fixed then the binomail probability distribution can be used to solve this.
P (x= 4) = 6c4 *(0.7)^4 (0.3)^2= 15*0.2401* 0.09= 0.324135
P (x= 5) = 6c5 *(0.7)^5(0.3)^1= 6*0.16807* 0.3=0.302526
P (x= 6) = 6c6 *(0.7)^6 (0.3)^0= 0.117649P
P (x= 0) = 6c0 *(0.7)^0 (0.3)^6= 0.000729
P (x= 1) = 6c1 *(0.7)^1 (0.3)^5=0.010206
P (x= 2) = 6c 2*(0.7)^2 (0.3)^4=0.059535
P (x= 3) = 6c3 *(0.7)^3 (0.3)^3=0.18522
Probability of at least 4 means that probability of greater than 4 inclusive of 4.
This can be obtained in two ways.
First is by subtracting the probabilities of less than 4.
Second is by adding probabilities greater than 4 including 4.
We get the same answer with any of the two methods used.
P(at least 4) = 1- P(x<4)
= 1- [ 0.000729+ 0.010206 +0.059535+ 0.18522]
= 1- 0.25569
= 0.74431
P (at least 4) = P(x=4) +P(X=5) + P(x=6)
=0.324135+ 0.302526+ 0.117649
=0.74431
Can the sides of a triangle have lengths 13.9, 12.7, and 5.1?
yes or no?
Answer:
Yes
Step-by-step explanation:
Sure. For example 5.1+13.9>12.7 or 5.1+12.7>13.9 or 13.9-5.1<12.7
Answer:
Yes
Step-by-step explanation:
Is 45 a multiple of 4? Explain your answer.
50
please help me i’ll mark brainliest, comment, and rate 5 stars
Answer:
c...........................
plx help i need to get this so I can be ungrounded
Answer:
2
Step-by-step explanation:
Write the ratio 21 wins to 9 losses as a faction in simplest form.
Answer: 7/3
Step-by-step explanation:
Divide both by 3
21/ 3 = 7
9 / 3 = 3
You get 7/3. Hope that helps!
Pls help urgently extra points and mark brainlist
Answer:
You got it right it is the second option
Step-by-step explanation:
I'm trying to level up and need 3 more brainliest so if possible can you mark me brainliest if not that's ok! :)
Answer: the last one
Step-by-step explanation:
Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Question:
A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.
- How many boxes were in stock when they opened?
- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.
- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answer:
1. [tex]Initial = 244[/tex]
2. [tex]b = 244 + 52h[/tex]
3. 660 boxes
Step-by-step explanation:
Given
[tex]Rate = 52\ per\ hour[/tex]
[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]
Solving (a): Initial Number of boxes
First, we calculate the number of boxes made in 3 hours
[tex]Boxes = Rate * Hours[/tex]
[tex]Boxes = 52 * 3[/tex]
[tex]Boxes = 156[/tex]
If they had 400 boxes at the 3rd hour.
Then, the number of boxes when they opened is:
[tex]Initial = 400 - 156[/tex]
[tex]Initial = 244[/tex]
Solving (b): Linear function
[tex]b = boxes[/tex]
[tex]h = hours[/tex]
Since, we have the rate and the initial number of boxes.
The linear function is:
[tex]Boxes = Initial + Rate * Hours[/tex]
i.e.
[tex]b = 244 + 52 * h[/tex]
[tex]b = 244 + 52h[/tex]
Solving (c): Boxes at the end of the 8th hour
We have:
[tex]b = 244 + 52h[/tex]
In this case:
[tex]h = 8[/tex]
Substitute 8 for h
[tex]b = 244 + 52 * 8[/tex]
[tex]b = 244 + 416[/tex]
[tex]b = 660[/tex]
Hence, there are 660 boxes at the end of the 8th hour
19 - k = 4.
I need help
Answer:
15
Step-by-step explanation:
first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!
is the 24 and 32 are coprime number?
Answer:
32 and 24 are not coprime numbers.
A small business earns a profit of $4,500 in
March and $9,500 in July. What is the rate
of change in profit for this time period?
Answer:
$2750/month
Step-by-step explanation:
seroiosly help please
A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
21.09 feet
24.20 feet
37.47 feet
49.34 feet
give a description of the rules for the order of operation in your own words
Answer:
Order of opoation is a techniqe that gives us a easier way to figure out work
Step-by-step explanation:
Please mark me as brainiset
Find the value of N
9 : 10 = 54 : N
Answer:
I think Value of N is 60
Step-by-step explanation:
because 9 ×6 =54
therefore, 10×6=60
hope its correct and hope ti helps..
Which is the answer HELP PLEASE
A. 205°
B. 215°
C. 210°
D. 220°
Answer:
A lol
Step-by-step explanation:
Which graph represents y = √ X
Explanation:
[tex]\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}[/tex]
**In this case, we want NON-NEGATIVE terms.
I am joyous to assist you at any time.
What are the x-intercepts of f(x) = x(x + 1)(x - 4)(x+8)??
Answer:
f(x)= 3x^2+5x
Step-by-step explanation:
f(x)= x(x+1)(x-4)(x+8)
f(x) = x^2 + x + x^2 - 4x + x^2 + 8x
f(x) 3x^2 + 5x
5 actions a good friend would make.
Answer:
1. respect your opinion
2. defend you/stand up for you
3. support your passions and goals
4. keep stuff you tell them to themselves
5. make you feel comfortable and like you can be yourself
Step-by-step explanation:
Solve 2x + 2y = -28 2x - 2y = 26
Answer:
x=−y−14
Step-by-step explanation:
Answer:
x = none y = -27
Step-by-step explanation:
2x + 2y = -28 + 2x - 26
-2x -2x
__________________
2y = -28 - 26
2y = -54
y = -27
ldentify the center and radius of the circle
(x-5)^2 + (y+1)^2=4.
Answer:
[tex] {(x - 5)}^{2} + {(y + 1)}^{2} = 4 \\ {(x - a)}^{2} + {(y -b) }^{2} = {r}^{2} [/tex]
Comparing both the equation we get,
(C) Centre:(5,-1), r =2Choose all equations for which x=2 is a solution.
A:x+3=5
B:x+2=8
C:x+1=1
D:x-2=4
Ex-7=5-
Write an equation in slope-intercept form that is perpendicular to y = -7x + 3 and passing through (14.1).
Answer:
y = 1/7x -1
Step-by-step explanation:
1) Find the slope.
- In this case, the equation given is in simplest form so you can easily come to the conclusion that '-7' is the slope. But, since the math question wants a slope-intercept form in perpendicular form, the slope would actually be 1/7.
2) Use the point-slope form and substitute the values available. Then solve.
m (slope) = 1/7
(a, b) = (14, 1)
y - b = m(x - a)
y - 1 = 1/7(x - 14)
y - 1 = 1/7x - 2
y = 1/7x - 1
The result is your answer.
Hope this helped (please tell me if I made a mistake or if you have any confusion and I will resolve it under the comments) ^^
Suzi starts her hike at 275 feet below sea level. When she reaches the end of the hike, she is still below sea level at −135 feet. What was the change in elevation from the beginning of Suzi's hike to the end of the hike?
Answer:
Have a nice day!
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
Hi there!
This problem may seem tricky because of the negative sea level, os let’s set up an equation.
[tex]-275+x=-135[/tex] where x = the change in elevation.
Using orders of operations, add 275 to both sides and you will end with
x = 140
Her change in elevation is 140 feet.
I hope this helps!