Answer:
(3, 1.7)
Step-by-step explanation:
The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.
Two lines are perpendicular if the product of their slopes is -1.
The slope of the line joining D(0,0), F(3,7) is:
[tex]m_1=\frac{7-0}{3-0}=\frac{7}{3}[/tex]
The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:
[tex]y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)[/tex]
The slope of the line joining E(7,0), and F(3,7). is:
[tex]m_1=\frac{7-0}{3-7}=-\frac{7}{4}[/tex]
The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:
[tex]y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)[/tex]
The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:
x = 3, y = 1.7
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.
Answer:
0.136
Step-by-step explanation:
If you have a calculator with statistical functions, this problem is straightforward.
Use the normcdf function as follows:
normcdf(300,350,400,50) = 0.136
This result is the probability that a worker makes between $300 and $350 per week: 0.136
there are four different categories / types of slope. write whether the slope is undefined, positive, negative, or zero.
What is the volume of this rectangular prism?
Answer:
20
Step-by-step explanation:
cause 2/3 * 6 is 4 then 4*5 is 20
There are 11 swimmers competing in a race. Prizes are awarded for the swimmers who finish in first, second, and third place. How many different ways can the swimmers finish first, second, and third? *
Answer: 11·10·9 = 990 ways
Step-by-step explanation: first can be chosen 11 different way, second 10 different way and third 9 different way
Answer:
Answer: 11·10·9 = 990
Step-by-step explanation:
HOPE THIS HELPS!! :)
The slope of the line passing through the points -7 ,-2 and. 2 -2
30. Write and solve an equation for the
following situation:
Marshall earns a salary of $36,000, and each
year he receives a $4,000 raise. Jim earns a
salary of $51,000, and each year he receives
o $1,500 raise. How many years will it take
before Marshall and Jim earn the same
salary?
Equation:
Volue of x:
Answer:
equation: 36000 + 4000x = 51000 + 1500x
value of x: 6
Step-by-step explanation:
Marshall:
36000 + 4000x
Jim:
51000 + 1500x
36000 + 4000x = 51000 + 1500x
360 + 40x = 510 + 15x
25x = 150
x = 6
Answer:
equation: 36000 + 4000x = 51000 + 1500x
value of x: 6
If gorge had a gf for 4 mo. then on their 5 mo he dumped her. how long did gorge have a gf?
Answer:
For 4 months. Also, is this a real life problem that happened to you??
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Triangles 2.0........
Answer:
triangle STU and WEK are CONGRUENT
ST=WK SIDE OF A CONGRUENT TRAINGLE ARE EQUAL
2M=N.....1
SU=WE
3M+5=N+8
3M+5=2M+8
3M-2M=8-5
M=3
NOW
N=2M=2×3=6CM
TU=WK=N=6CM.
Need help with this please will give you the brainliest
Answer:
5m
Step-by-step explanation:
The volume doesnt count so do height × width
Answer:
SA = 50
Step-by-step explanation:
Formula for surface area of a rectangular prism : A=2(wl+hl+hw)
hope this helps :)
wich value from the set ( 0, 1/2, 2, 4) makes the equation 6-4x=4 true
Answer:
1/2
Step-by-step explanation:
6 - 4(0) = 6 (incorrect answer)
6 - 4(1/2) = 4 (correct answer)
6 - 4(2) = -2 (incorrect answer)
6 - 4(4) = -10 (incorrect answer)
I hope this helps :)
18 3/8f = -29 4/7 please help
Answer:
f=-552 /343 or 5=1 and 209/343
Step-by-step explanation:
What is the expression for this word problem please help !!
A number added to 13 all divided by 2
Answer:
[tex]\frac{13+x}{2}[/tex]
Step-by-step explanation:
"A number" is the part of the question you don't know, and therefore is the variable. Let's call it [tex]x[/tex] from now on.
So, when you add a number to 13 it means you are increasing 13 by that number, or [tex]13+x[/tex].
To divide it all by 2, simply put the above expression on a fraction with a denominator of 2:
[tex]\frac{13+x}{2}[/tex]
And there is your answer.
Find the total surface area of the rectangular prism in square millimeters.
Answer:
168
Step-by-step explanation:
Which expression is equivalent to 3/4(x-5y)
please help!!!
Step-by-step explanation:
I think that is the right answer I hope ut helps
which 2 or 3 are they pls help
The answer is B.
z x 1 = z
z x 0.37 = 0.37z
= z + 0.37z
:)
Determine if the graph is proportional or non proportional and explain why
Answer: Is there supposed to be a picture??? If there is there isn't one
Step-by-step explanation:
will make brainliest
Answer: The 3rd one.
Step-by-step explanation:
A right triangle has one side that measures 4 in. The angle opposite that side measures 80o.
What is the length of the hypotenuse of the triangle? Round to the nearest tenth.
3.9 in.
4.1 in.
22.7 in.
23.0 in.
Answer:
The answer is option B. 4.1 !
Step-by-step explanation:
Hop this helps :)
Brainliest would be greatly appreciated :D
Bacteria colonies can triple in size every 4
days. If you start with 40 bacteria
microorganisms, how large would the
colony be after 20 days?
First, complete the equation:
Future Amount = 40(1+2)5
Now solve.
Future Amount = [ ? ] microorganisms
Answer:9720
Step-by-step explanation:
A factory has 88 employees. 50% of the employees work part-time. How many of the factory employees work part-time?
Answer: 44
Step-by-step explanation:
88/2 = 44
Answer:
44 because 50% of 88 is 44
Step-by-step explanation:
88 / 100 * 50
0.88 * 50
44
or in this case when it is 50% just do:
88 / 2
Mark me as brainliest if you want.
Angela buys a bracelet that was regularly priced for $150. She uses a coupon and gets 30% off. How much did Angela save?
A. 105
B.45
C.214.29
D.500
what if we are given 7:11? Can we write 2 equivalent ratios?
Answer:
yes we can write as follows :-
14:22
21:33
28:44
hope it helps
Now use the length of the vertical line segment and the horizontal line segment to find the distance between G and H. Substitute these values in the equation for the Pythagorean Theorem.
Answer:
please first tell me the numbers written
HELP ASAP PLEASE EXPLAIN THOUGH
Answer:
35 times, or D
Step-by-step explanation:
A bag contains 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
A quick lesson on probability:
The probability of an event is: (the number of ways what you want can happen) / (total number of outcomes possible). For example, in a coin flip, there is 1 way to get heads, and 2 possible outcomes. Thus, the possiblity of flipping a coin and getting heads is:
(1 way to get heads) / (2 possible outcomes) = 1/2
Then, if we were to flip the coin 100 times, we would expect about 1/2 of the times to be heads, so we should expect heads 50 times.
On to the problem.
There are 3 green marbles and 4 black marbles, so there are 7 ways to draw a green or black marble.
Then, there are 5 + 6 + 3 + 4 + 2 = 20 possible outcomes.
Using the formula to find the probability, substitute the values we just found.
(the number of ways what you want can happen) / (total number of outcomes possible) =
(7 ways to draw a green or black marble) / (20 marbles that can be drawn) = 7/20 chance of getting a green or black marble.
Then, because there is a 7/20 chance of getting what we want, and there are 100 draws, we can say that an we should get green or black
7/20 * 100 = 35 times, or D
Feel free to ask any questions! :)
Please help simplify it.
Answer:
[tex]-\frac{39}{4}a + \frac{52}{5}[/tex]
Step-by-step explanation:
[tex]-\frac{60}{6}a + \frac{84}{8} + \frac{1}{4}a - \frac{1}{10}[/tex]
= [tex]-\frac{120}{12}a + \frac{3}{12}a + \frac{420}{40} - \frac{4}{40}[/tex]
= [tex]-\frac{117}{12}a + \frac{416}{40}[/tex]
= [tex]-\frac{39}{4}a + \frac{52}{5}[/tex]
I hope this helps!! ^-^
From her home, Glera traveled 5.8 miles north to the grocery stare, then 2.1 mlles west to the library. What is the distance thom her home to the library
Answer:
6.16 miles
Step-by-step explanation:
When solving word problems like these, I like to start by drawing a picture.
So, Glera starts at her home and moves north by 5.8 miles. Then, she walks west by 2.1 miles to the library. The problem wants you to find the distance from her home to the library.
I've attached a drawing I made to help me visualize the problem. The distance from her home to the library is the hypotenuse of the triangle. To solve for it, you would use the equation [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].
a and b are the sides of the triangle, and c is the hypotenuse.
[tex]5.8^{2}[/tex] + [tex]2.1^{2}[/tex] = [tex]c^{2}[/tex]
33.64 + 4.41 = [tex]c^{2}[/tex]
38.05 = [tex]c^{2}[/tex]
To find c, you would take the square root of 38.05, which is about 6.16 if you use a calculator.
So, the distance from her home to the library is 6.16 miles!
A large group of friends needs to call a taxi service to get home. The taxi cab company charges $2 per mile
Answer:
36 dollars per person and they all will pay 2 dollars each the large group will hit a wall
please help i don't know what I'm doing
Answer:
11 is the answer
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
to find one of the addend
subtract another one of the addend by the sum
eg : 9 + __= 20
20 - 9 = 11
now we can check
9 + 11 = 20
hope this helps
thanks bye
pweeez help me :3
How long does it take for the ball to reach its maximum height (or its vertex)?
A. 4 seconds
B. 2.5 seconds
C. 0.6 seconds
D. 2 seconds
Answer:
The vertex, (1.5, 40), tells us that it takes 1.5 seconds for the ball to reach its maximum height of 40 feet.
Step-by-step explanation:
...i think..
Weekly wages at a
certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.
Answer:
2.35% chance
Step-by-step explanation:
in a normally distributed graph with a standard deviation of $50 $250 and $300 contain 2.35% of the data.
2.15% chance.
in a normally distributed graph with a standard deviation of $50 $250 and $300 contain 2.15% of the data.
How do you calculate probability?
The probability of an event can be calculated by the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.
Please check the attached file for a complete answer.
Learn more about probability at
https://brainly.com/question/24756209
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