Answer: 96
Step-by-step explanation:
Ok, lines a and b are parallel.
We can separate this problem in two cases:
Case 1: 2 vertex in line a, and one vertex in line b.
Here we use the relation:
"In a group of N elements, the total combinations of sets of K elements is given by"
[tex]C = \frac{N!}{(N - K)!*K!}[/tex]
Here, the total number of points in the line is N, and K is the ones that we select to make the vertices of the triangle.
Then if we have two vertices in line a, we have:
N = 6, K = 2
[tex]C = \frac{6!}{4!*2!} = \frac{6*5}{2} = 3*5 = 15[/tex]
And the other vertex can be on any of the four points on the line b, so the total number of triangles is:
C = 15*4 = 60.
But we still have the case 2, where we have 2 vertices on line b, and one on line a.
First, the combination for the two vertices in line b is:
We use N = 4 and K = 2.
[tex]C = \frac{4!}{2!*2!} = \frac{4*3}{2} = 6[/tex]
And the other vertice of the triangle can be on any of the 6 points in line a, so the total number of triangles that we can make in this case is:
C = 6*6 = 36
Then, putting together the two cases, we have a total of:
60 + 36 = 96 different triangles
What is the y−intercept of the line that passes through the point (4,9)and is parallel to the line y=12x+2?
Answer:
y- intercept = - 39
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 12x + 2 ← is in slope- intercept form
with slope m = 12
Parallel lines have equal slopes, thus
y = mx + c ← is the partial equation
To find c substitute (4, 9) into the partial equation
9 = 48 + c ⇒ c = 9 - 48 = - 39 ← y- intercept
Answer:
y-intercept = -39
Step-by-step explanation:
if two lines are parallel it means they have the same gradient so we compare the equation given to the default equation of a line
y=mx+c
y=12x+2
comparing we have the gradient m=12 now finding the equation of the line parallel to the given line we use
y-y1=m(x-x1)
y1=9 and x1=4
y-9=12(x-4)
y-9=12x-48
y=2x-48+9
y=2x-39
comparing to the default equation of a line y=mx+c where c is the y-intercept
therefore the y-intercept is -39
what make you happy in your life
Answer:
Everything that I get make me happy in my life such loving families who support me is the best my friends who help me in any situation. And most important is teacher who teach me and is helping me to become a successful person.
On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is feet.
Complete question :
Zen is participating in an all-day hike to the Grandfather Mountain Summit on the Blue Ridge Parkway.
Starting at elevation zero, Zen climbs to an elevation of 4,646.4 feet to reach the Cragway Trail. From there, he hikes up another 1,817.6 feet to the Calloway Peak Summit, the highest point on Grandfather Mountain. Based on these numbers, the Calloway Peak Summit is at a height of _____ feet.
On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is ______ feet.
Answer:
6,464 Feets; 4,061.5 Feets
Step-by-step explanation:
Given the following:
Starting elevation = 0
Elevation of the Cragway Trail = 4,646.4 feets
Elevation of Cragway Trail to Calloway peak summit = 1,817.6
From Calloway peak summit, Zen descends to an elevation of 2,402.5 Feets (flat Rock junction)
The Calloway Peak Summit is at a height of _____ feet.
Height of Calloway Peak Summit:
(Starting elevation to Cragway trail) + (Cragway trail elevation to Calloway peak Summit)
4,646.4 Feets + 1,817.6 Feets = 6,464 Feets
B) Elevation at Flat Rock Junction:
Height of Calloway peak summit - 2,402.5
(6464 - 2402.5) Feets = 4,061.5 Feets
a line is perpendicular to y=4x-2 and intersects the point (4,-11). what is the equation of this perpendicular line?
Answer:
y = -1/4x - 10
Step-by-step explanation:
Hey there!
Well to the slopes of 2 perpendicular lines are reciprocals of each other meaning if the line has a slope of 4 then it’s perpendicular line has a slope of -1/4.
Now to find the y intercept we need to graph,
y = -1/4x and point (4, -11)
Look at the image below.
By looking at the image below we can tell that in order for the perpendicular line to go through point (4,-11) it would be -10.
The equation is y = -1/4x - 10
Hope this helps :)
the sum of 35 and one fifth part of itself is added to the sum of one seventh of 11 and 8
Answer:
313/7
Step-by-step explanation:
Here, we are interested in turning the wordings of the statement to numeric values.
We take it one at a time.
Sum of 35 and 1/5(35) = 35 + 7 = 42
This is added to 1/7(11 + 8)
= 1/7(19) = 19/7
So we have;
42 + 19/7 = (294 + 19)/7 = 313/7
PLEASE HELP ME !!!!!!!!!!!!!!!!!
Answer:
2
Step-by-step explanation:
The series is a geometric series with a common ratio (r) of 1/2 and a first term (a1) of 1/2^0 = 1. The sum of such a series is given by ...
S = a1/(1 -r) 1/(1 -1/2) = 2
The sum of the series is 2.
2.5 kg of oranges cost $ 1.40, what is the cost of
1 kg of orange?
(6e−3f−4)⋅2= what is the answer for this?
Answer:
12e-6f-8 is the answer
Step-by-step explanation:
did work on peice of paper
Answer:
12e - 6f - 8
Step-by-step explanation:
By using the distributive property,, the answer is
(6e x 2) - (3f x 2) - (4 x 2)
12e - 6f - 8
what is 2/5 divided by -1/2 minus 3/2
Answer:
[tex] - \frac{23}{10} [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2} [/tex]
➡️ [tex] - \frac{2}{5} \times 2 - \frac{3}{2} [/tex]
➡️ [tex] - \frac{4}{5} - \frac{3}{2} [/tex]
➡️ [tex] - \frac{23}{10} [/tex]
Last week Andi had exams in Chemistry and in Spanish. On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45. On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65. For which class should Andi expect the better grade?
Answer:
Chemistry
Step-by-step explanation:
To solve the above question, we use the z score formula
Andy took two Exams, Chemistry and Spanish. So we find the z score for both exams.
a) Chemistry Exam
On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45
z-score is given as: z = (x-μ)/σ
where x is the raw score,
μ is the population mean
σ is the population standard deviation
z = (x-μ)/σ
z = (45 - 30)/5
z = 15/5
z = 3
b) On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65.
z-score is given as: z = (x-μ)/σ
where x is the raw score,
μ is the population mean
σ is the population standard deviation
z = (x-μ)/σ
z = (65 - 60)/6
z = 5/6
z = 0.8333333333
Comparing the z score of both Exams,
Andy had a z score of 3 in the Chemistry exam and 0.8333333333 in the Spanish exam.
Therefore, Andy should be expecting a better grade in the Chemistry exam because his z score in the Chemistry exam was higher than that of the Spanish exam.
Proportion problems
8 chickens would lay 20 eggs in 3 days.
If chickens always lay eggs at the same rate,
a) how many days would it take to chickens to lay 100 eggs?
= 10 days
b) how many chickens would be required if a farmer needed 30 eggs each day?
i need help how to do question b. i know answer bu,.t i need explaining.
:]
a car averaged 72 kph .on a trip if the car travelled for 9 hours how far did it go
Answer:
648 km
Step-by-step explanation:
distance travelled= speed * time
distance= 72kph * 9 hours
distance= 648 km
5/6 = b/12 help please
Answer:
[tex]b = 10[/tex]
Step-by-step explanation:
We can use the cross products property and solve for b.
[tex]\frac{5}{6} = \frac{b}{12}\\\\\\b=(12\cdot5)\div6\\b=60\div6\\b=10[/tex]
Hope this helped!
Answer:
The answer is b=10
Step-by-step explanation:
All you need to do is think 12/6 is what, the answer would be 2, then you would multiply the numerator by 2, which would be 5*2 which is 10.
Thank you, Hope this helps you.
___H2 + ___Br2 → ___HBr
Answer:
H2+Br2 HBrH2+Br2. 2HBrYou check 20 batteries.Fourteen of the batteries do not have a charge. What is the experimental probability that the next battery you check does not have a charge?
Answer:
[tex]\dfrac{7}{10}[/tex]
Step-by-step explanation:
Given that
Number of batteries that do not have a charge = 14
Total number of batteries = 20
To find:
Experimental probability that the next battery checked does not have a charge = ?
Solution:
First of all, let us learn about the definition of experimental probability.
Probability is the chances of happening of an event.
Formula for probability of happening of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here we have to find the probability of checking a battery that has no charge.
So, number of favorable cases = Number of batteries that do not have a charge = 14
AND
Total Number of cases = Total number of batteries to be checked = 20
So, the required probability is:
[tex]\dfrac{14}{20} = \bold{\dfrac{7}{10}}[/tex]
The loudness, L , of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d , from the source of the sound. When a person 14 feet from a jetski, it is 70 decibels loud. How loud is the jetski when the person is 46 feet away?
Answer:
Loudness (L) = 6.48 dB
Step-by-step explanation:
Given:
Loudness (L) = k / d² , where k = constant
So,
70 = k / 14²
k = 13,720
New distance = 46 feet
Find:
Loudness (L) = ?
Computation:
Loudness (L) = 13,720 / 46²
Loudness (L) = 13,720 / 2,116
Loudness (L) = 6.48 dB
I need help on this question!!!
Answer:
The answer is 17.
Step-by-step explanation:
200/3 is approximately 67, and divided by 4 again to represent the second checkpoint will become 16.75. Obviously there can't be a fraction of a bag, so the answer is 17.
Answer:
16
Step-by-step explanation:
the lcm for 3 and 4 is 12
200 ÷ 12 = 16.667
≈16
Convert 3
8 into a decimal.
Answer:
0.375
Step-by-step explanation:
3/8=0.375, use a calculator for this or long division
Last year, there were 245 pies baked for the bake sale. This year, there were k pies baked . Using k, write an expression for the total number of pies baked in the two years.
Answer:
245 + k
Step-by-step explanation:
Since we know that,
245 = amt. of pies baked for the bake sale last year.
--> and k = (unknown) amt. of pies baked for the bake sale this year.
Using k, we need to write the total amt. of pies baked for bake sales in the 2 years.
last year + this year =>
respectively, 245 and k
Thus, we get 245 + k
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
[tex]\huge\boxed{x = 36\°}[/tex]
Step-by-step explanation:
According to secant angle theorem:
[tex]x = \frac{1}{2} (mCDF-mBJH)[/tex]
Where mCDF = 140 , mBJH = 68
[tex]x = \frac{1}{2} (140-68)[/tex]
[tex]x = \frac{1}{2} (72)[/tex]
x = 36°
3T-2 + T -5T= -1
Solve it out please
Answer: T = -1
Step-by-step explanation:
**Disclaimer** I assume that the [T] is a variable. If it was, then you may refer to my answer. If it was not, then you may point it out and I'll redo it.
Given
3T - 2 + T - 5T = -1
Combine like terms
-T - 2 = -1
Add 2 on both sides
-T - 2 + 2 = -1 + 2
-T = 1
Divide -1 on both sides
-T / (-1) = 1 / (-1)
T = -1
Hope this helps!! :)
Please let me know if you have any questions
. Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day?
Answer:
4
Step-by-step explanation:
Given that :
Clients are interviewed in groups of 2 on the first day; meaning two persons at a time
Second day, clients are interviewed in groups of 4; meaning 4 persons at a time.
Therefore, if the same number of clients are to be interviewed on each day, the smallest number of clients that could be interviewed each day could be obtained by getting the Least Common Multiple of both numbers: 2 and 4
- - - - 2 - - - 4
2 - - - 1 - - - 2
2 - - - 1 - - - 1
Therefore, the Least common multiple is (2 * 2) = 4
Therefore, the smallest number of clients that could be interviewed each day is 4.
Suppose the graph in part A can be represented by the function f(x)=1.5x+750/x . What is the domain of this function? Consider the context of the function in your answer.
Answer:
Domain:
( − ∞ , 0 ) ∪ ( 0 , ∞ ) , { x | x ≠ 0 }
Step-by-step explanation:
i used math. way for help
Please help me i don’t know if I’m right
Answer:
your choice is correct
Step-by-step explanation:
The magnitude of the difference between the target amount and the actual amount will be no greater than the allowed error.
|x -34| ≤ 0.25
What is the factorization of 2x^2 + 5x + 3?
A. (x+3)(x + 3)
B. (x+3)(x + 1)
C. (2x+3)(x + 1)
D. (2x + 3)(x + 3)
Answer:
( 2x +3) (x+1)
Step-by-step explanation:
2x^2 + 5x + 3
2 factors to 2 and 1
3 factors to 3 and 1
We need to get 5x in the middle
( 2x +3) (x+1)
Find the solutions to $x^2 + 64 = 0.$[tex]Find the solutions to $x^2 + 64 = 0.$[/tex]
Answer:
x=8i,\:x=-8i
Step-by-step explanation:
x^2+64-64=0-64
x^2=-64
x=\sqrt{-64},\:x=-\sqrt{-64}
x=8i,\:x=-8i
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answer:
D. 1:5
Step-by-step explanation:
3 students went to the zoo
15 students went to the aquarium, which is no the zoo
students who went to the zoo : students who did not go to the zoo =
= 3:15
Now we simplify the ratio by dividing both numbers by 3.
= 1:5
Answer: D. 1:5
3. Create and write a real-world situation that could be represented by the equation below:
5x + 15 = 45
Answer:
You ordered 5 tickets for a show on line...
The cost was $5 a ticket Plus a one time ordering fee of $15.
you total cost was $45 ....
Solving for x will determine the cost of one ticket
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a taxi charges $5 a mile plus $15 "pull fee" ...
you ride cost a total of $45 ... x is the number of miles that you got driven
Step-by-step explanation:
You rent a car for a down payment of $15 and $5 is charged per mile driven. The total charge is therefore, $45. In essence, x is the no. of miles driven.
According to the question;
We are required to create a real-world problem that could be represented by the equation; 5x + 15 = 45.In essence, x is the no. of miles driven in this scenario.
By solving for x in 5x + 15 = 45, we may determine the no. of miles driven.
Read more:
https://brainly.com/question/2319353
Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.[tex]Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.[/tex]
Hello, please consider the following.
[tex]x^2 + 10x + 25 = 8\\\\\text{\bf We can notice that } x^2+10x+25=(x+5)^2 \text{ so}\\\\x^2 + 10x + 25 = (x+5)^2=8\\\\\text{\bf We take the root.}\\\\x+5=\pm\sqrt{8}\\\\\text{\bf We subtract 5}\\\\\boxed{x=-5-\sqrt{8}} \ \ or \ \ x=-5+\sqrt{8}[/tex]
In the box, you can find the smallest solution.
Thank you.
Find y.
A. √2/2
B. 4
C. √6/2
D. √2
Answer:
Step-by-step explanation:
the answer is option D
WHEN YOU SUBSTITUTE THE VALUES YOU WILL GET IT............