Answer:
6/5
Step by step explanation:
Here we are provided with a equation which is ,
[tex]\longrightarrow 15x + 18y = 270 [/tex]
And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,
[tex]\longrightarrow 18y = -15x +270\\ [/tex]
[tex]\longrightarrow y =\dfrac{-15x+270}{18}\\[/tex]
[tex]\longrightarrow y =\dfrac{-15}{18}x +\dfrac{270}{8}\\ [/tex]
[tex]\longrightarrow y =\dfrac{-5}{6}x +\dfrac{135}{4} [/tex]
Recall the slope intercept form of the line which is y = mx + c .On comparing to which we get ,
[tex]\longrightarrow m =\dfrac{-5}{6} [/tex]
Again , recall that product of slopes of two perpendicular lines is -1. So that ,
[tex]\longrightarrow m_{\perp} =-\bigg(\dfrac{1}{m}\bigg)[/tex]
Hence ,
[tex]\longrightarrow\underline{\underline{ m_{\perp}= \dfrac{6}{5}}}[/tex]
And we are done !
The slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.
The equation of the given line is 15x + 18y = 270. To find the slope of this line, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where 'm' represents the slope.
First, solve for 'y':
18y = -15x + 270
y = (-15/18)x + 270/18
y = (-5/6)x + 15
The slope of the given line is -5/6.
For a line perpendicular to this, the slope will be the negative reciprocal of -5/6. The negative reciprocal of a fraction 'a/b' is -b/a.
So, the slope of a line perpendicular to the given line is:
Slope = -(-6/5) = 6/5
Fully simplified, the slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.
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-2/3 a + 5/6a-1/6 Answer this
Answer:
a=1
Step-by-step explanation:
2/3a + 5/6a - 1/6 = 0
-2/3a + 5/6a = 1/6
5/6a - 2/3a = 1/6
Lowest common multiple of 3 and 6 =6
(5/6-4/6)a =1/6
1/6a = 1/6
a=1/6 / 1/6
a=1
1) yes by sss
2) yes by sas
3) yes by asa
4) yes by aas
5) yes by aaa
6) yes by hl
7) yes by ssa
8) triangles are not congruent
1 SAS BY RULE
2 SAS BY RULE
3 ASA
4 SAS
5 SAS
6 SAS
7 NO COGRUENT
8 NO COGRUENT
9 NO
10 NO 11 ASA
Brainliest!
Adam dove 512 miles in 8 hours. The average speed for his trip is 512= x8
Using the formula d= rt, solve for x
Answer: 64 mph
Step-by-step explanation:
d = rt
512 = 8x
x = 512/8 = 64 mph
What lease help fast
Answer:
B. (x,y) (-x+2,y-3)
Step-by-step explanation:
I hope it's help:))
The probability that Maria succeeds at any given free-throw is 75%. She was curious how many free-throws she can expect to succeed in a sample of 10 free-throws. She simulated 25 samples of 10 free-throws where each free-throw had a 0.75 probability of being a success. Maria counted how many free-throws were successes in each simulated sample. Here are her results:
Answer:
5: 0 successes
6: 5 successes
7: 8 successes
8: 6 successes
9: 6 successes
10: 1 success
We need to use her results to estimate the probability that she succeeds at fewer than 7 free-throws in a sample of 10 free-throws.
First, find out how many successes were less than 7 (out of 25), which is 5.
now, we divide 5 by 25 (5/25, formula being number/total attempts) and simplify into a decimal, which comes out to 0.2
Probability w/ Venn Diagrams
Step-by-step explanation:
Disclaimer: The question was incomplete. The complete question can be seen in the image attached.
The estimated probability of Maria succeeding at fewer than 7 free throws in a sample of 10 free throws is 1/5 or 0.2.
What is the probability of an event?The probability of an event is the fractional value showing how likely is that event to occur. It is determined by the formula =
The number of outcomes favorable to the event/the total number of outcomes.
How do we solve the given question?The results from the 25 samples showing the number of success in each trial of 10 throws are:
5 success: 0 outcomes
6 success: 5 outcomes
7 success: 8 outcomes
8 success: 6 outcomes
9 success: 5 outcomes
10 success: 1 outcome.
We are asked to estimate the probability that Maria succeeds at fewer than 7 throws in a sample of 10 free throws.
From the result of 25 samples of 10 free throws each, we see that Maria succeeds fewer than 7 times, that is, 5 and 6 times for 0 + 5 = 5 outcomes.
∴ The probability of Maria succeeding at fewer than 7 throws in a sample of 10 free throws = 5/25 (favorable outcomes/total outcomes)
= 1/5 or 0.2.
So, the estimated probability of Maria succeeding at fewer than 7 free throws in a sample of 10 free throws is 1/5 or 0.2.
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The lengths of the sides of a triangle are in the extended ratio 5: 8:10. The perimeter of the triangle is 115 cm. What are the lengths of the sides?
The lengths of the sides in cm are ____
Given :
The length of the sides of the triangle are in the ratio 5:8:10 .The Perimeter of the Triangle is 115 cm.To Find :
The length of the sides of the triangle.Solution :
Let us assume the sides be 5x cm, 8x cm and 10x cm.
We know,
[tex]\qquad{ \bold{ \pmb{Sum \: of \: all \: sides \: of \: the \: triangle = Perimeter_{(Triangle)}}}}[/tex]
So, Substituting the values :
[tex]\qquad { \dashrightarrow{ \sf{5x + 8x + 10x = 115}}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{23x= 115}}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{ \dfrac{23x}{23} = \dfrac{115}{23} }}}[/tex]
[tex]\qquad { \dashrightarrow{ \bf{ x = 5 }}}[/tex]
Therefore,
The length of the sides of the triangle are :
[tex]\qquad { \dashrightarrow{ \sf{ 5x \: cm= 5 \times 5 \: cm = \bf \: 25\: cm }}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{ 8x \: cm= 8 \times 5 \: cm = \bf \: 40 \: cm }}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{ 10x \: cm= 10 \times 5 \: cm = \bf \: 50 \: cm }}}[/tex]
Step-by-step explanation:
Given:-
Ratio of sides of triangle is 5:8:10 , with perimeter of 115cm.
To Find :-
Measurement of each side
Solution :-
let the each side be 5x , 8x , 10x respectively
we know that ,
perimeter of triangle = sum of all sides
putting the known values ,
115cm = 5x + 8x + 10x
115/23 = x
5 = x
putting the value of x we get ,
each side is 25cm , 40cm , 50cm
How much money will be in an account at the end of 8 years if $4,000 is deposited at 4% interest compounded 2 times per year? Assume no deposits or withdrawals are
made.
There will be about in the account at the end of 8 years.
(Round to the nearest dollar as needed.)
Answer:
$6560
Step-by-step explanation:
interest per year =4+4%=8%
interest in 8 years = 8×8% =64%
Money in account after 8 years= 100%+64%=164% of deposit
=164/100×4000
=$6560
Please mark my answer the brainliest and rate me 5.0*you pack sandwiches for a mountain hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich.
How many slices of bread are used for n hikers?
[tex][Hello,BrainlyUser][/tex]
Answer:
2n
Step-by-step explanation:
You pack sandwiches for a mountain hike with your friends.
Each [ meaning 1] sandwich takes 2 slices of bread.
If each hiker eats one sandwich, and there are 'n' hikers
Thus, to find the number of breads used for 'n' hikers, we multiplied 2 by n
Hence, the expression will be 2n
[CloudBreeze]
Show that the equation x3 + 4x = 1 has a solution between x = 0 and x = 1
Intermediate Value Theorem: Suppose that f(x) is an arbitrary, continuous function on an interval [a,b] . If there exists a value L between f(a) and f(b) , then there exists a corresponding value c∈(a,b) , such that f(c)=L
f(x)=x3+4x−1
f(0)=−1f(1)=4
Since the function changes sign in the interval (0,1) , hence there exists a c∈(0,1) such that f(c)=0
WILL GIVE BRAINLIEST...
6 facts of WHY Civil Rights movement is important
- 6 paragraphs (1 paragraph for each fact)
- Each paragraph 5 lines
-Everything has to be PERFECT
-Irrelevant link or answer will be REPORTED
-Thanks
Here are some notes on it. I had to screenshot all of them because they had rude words and whatnot.
I would've helped with the essay but I'm not good at writing stories. Sorry.
Hope this helped.
A brainliest is always appreciated.
I need help can u pleas help me thank have a blessed day.
Answer:
I believe the answer is A
Find the volume of the following cylinder. Use π=3.14
V=
Answer:
it would be approx. 3015.93cm3
Step-by-step explanation:
Hope it helps!!!!
what is 8000 - (-38000)
Answer:
[tex]8000 - ( - 38000) = 46000[/tex]
What is 1.75 in standard form?
Answer:
1 3/4 I think.
Hope this helps
What’s 2/3 + 3/5?
2/3 +3/5 = _/15 + _15
Answer:
= 1 4/15 or 19/15
Step-by-step explanation:
2/3 + 3/5 = 10/15 + 9/15
improper = 19/15
proper = 1 4/15
pls help me
solve for r
Answer: r = 16
Step-by-step explanation:
We know that triangle ABC is a right triangle.
Therefore, we can use the pythagorean theorem to solve for r.
r^2 + 30^2 = (r+18)^2
r^2 + 900 = r^2 + 36r + 324
Combine like terms:
36r = 576
Divide both sides by 36:
r = 16
What is the volume of this shape?
Which of the following inequalities matches the graph? (2 points)
Answer:
b
Step-by-step explanation:
if the line is solid the it is <> or equal to which it is in this case
the line also goes through the x axis so it is to do with x
and the shaded region is covering values of -7 and less so it is
[tex]x \leq -7[/tex]
What is 65,789 rounded to the nearest ten thousand?
Answer:
65789.000
Step-by-step explanation:
May God bless you and your family during spring break
For the science fair Carol wanted to see how many minutes of videos she watched were ads. She watched
6 videos with each video lasting 9 minutes. After watching the videos she calculated that she had watched 3 minutes of
ads over all the videos. How many minutes were not ads?
Answer:
51 mins were not ads
Step-by-step explanation:
1 video = 9 mins
6 videos = x
x = 9×6 = 54 mins
mins of ads = 3 mins
mins that were not ads = total mins of videos – total mins of ads
= 54 – 3 = 51 mins
if this helped pls give brainliest
what are the values of x and y?
Answer:
if you divide the square root of X plus the 14th amendment to the constitution of declaration then the people of Madagascar should tell you that the independent variable in the school is fully 14,000,000,621
Step-by-step explanation:
I think this is right if it is could you please give me brainlyist
please help with this!
Answer:
See below.
Step-by-step explanation:
The y-intercept is the point in which the line intersects on the y-axis.
In this case, the y-intercept is (0,4), or 4.
-hope it helps
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
B. 1, 4, 16, 64...
D. 2, 8, 32, 128...
To find a common ratio, you divide each term by the previous term.
So, let's do it for each sequence.
A.
6 / 2 = 3
10 / 6 = 1.6667
It is incorrect because we did not get 4.
B.
4 / 1 = 4
16 / 4 = 4
It is correct because we got 4.
C.
400 / 1600 = 1/4
100 / 400 = 1/4
It is incorrect. The common ratio is 1/4.
D.
8 / 2 = 4
32 / 8 = 4
It does have a common ratio of 4. It is correct.
E.
12 / 16 = 0.75
8 / 12 = 0.6667
It does not have a common ratio of 4.
F.
1/8 / 1/2 = 1/4
1/32 / 1/8 = 1/4
It does not have a common ratio of 4. It has a common ratio of 1/4.
#B
Check ratio
4/1=416/4=4Common ratio=r=4
#C
8/2=432/8=4Common ratio=r=4
Option B and C are correct
If 3 bananas and 8 apples cost $2.50, and if 7 bananas and 12 apples cost $4.00, how much do 10 bananas and 20 apples cost?
Answer:
6.50
Step-by-step explanation:
adding the numbers 4 plus 2.50
A regulation bowling ball has a diameter of 8. 5 inches. What is the volume of the bowling ball?and why.
A 302. 49 in
B 75. 62 in
C 2,571. 14 in
D 321. 39 in
Answer: D: 321. 39 in³
Step-by-step explanation:
Bowling balls are spheres:
the volume of a sphere is calculated as:
V = 4/3 πr³
V = 4/3 π 4.25³
V = 4/3 x 241.044
V ≅321.39 in³
The answer is D
Is the equality below true or false? Explain your answer.
Answer:
False. Sin is not a linear function. Thus, two smaller sin funstions will not equal a larger.
Step-by-step explanation:
5. A puzzle is shown below. Which of the following is the closest to the res of the state portions of the puzzle? 2 cm I 2 cm A. 18 cm2 B. 72 cm2 C. 24 cm2 D. 60 cm
Answer:
D. 60cm²
Step-by-step explanation:
First, notice how the partially shaded squares fit perfectly into one another (the squares are perfectly cut from corner to corner). Once you match these squares to one another, you can then figure out that they add up to three full squares.
Secondly, measure how many squares there will be in the diagram after adding up the partial squares (resulting in a total of 15).
Finally, calculate the area of one of the squares (2cm x 2cm), which results in 4cm². As you have 15 total squares, multiply 4cm² by that to get the final answer of 60cm².
Suppose you deposit $4000 in a savings account that pays interest at an annual rate of 3.1% compounded continuously How many years will it take for the balance in your savings account to reach $5625.41?
15 Minutes Remaining
The number of years it takes for the balance in your savings account to reach $5625.41 is 11 years
How to calculate compound interestThe formula for calculating compound interest is expressed as;
A =P(1+r)^t
Given the following
A = $5625.41
P = $4000
r = 0.031
Substitute the given parameters into the formula to have:
$5625.41 = 4000(1.031)^t
1.4063525 = (1.031)^t
t = ln(1.4063525)/ln(1.031)
t = 0.34074/0.03052
t = 11 years
Hence the number of years it takes for the balance in your savings account to reach $5625.41 is 11 years
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i do not know this answers
Answer:
1) -5,-2
2) 5,-5
Step-by-step explanation:
sorry if im wrong
PLEASE HELP ME I WILL GIVE 50
Answer:
26°
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