If y varies directly as x, and y= 12 when x = 4, what is y when x = 8?
Answer:
24 !!
Step-by-step explanation:
Simple, x got doubled, and since y varies directly as x, 12 doubled = 24. I hope this helps!!!
help me on this question. would be nice if you could also graph it as well
calculate the simple interest and compound interest on ₹5000 for 2 years at 10% per annum. how much more is the compound interest then the simple interest?
Answer:
Simple: 6000
Compound: 6050
Difference: 50
Step-by-step explanation:
Simple interest formula: A = P(1+rt), where A = final amount, P = initial amount, r = rate, and t = time. Plug our values in to get
A = 5000(1+10% * 2)
convert 10% to a decimal by dividing by 100 and plug that in
10% = 0.1
5000(1+0.1*2) = 5000(1.2) = A = 6000
Compound interest formula: A = P(1+r)^t
Plug our values in
5000(1+0.1)^2 = 6050
Difference = 6050 - 6000 = 50
A skyscraper is 396 meters tall. At a certain time of day, it casts a shadow that is 332 meters long. At what angle is the sun above the horizon at that time?
Step-by-step explanation:
there is a right-angled triangle.
its legs (enclosing the 90° angle) are the height of the skyscraper (396 m) and the shadow (332 m).
so, we know the third side (the Hypotenuse, which is the line of sight between the end of the shadow and the top of the skyscraper) too by using Pythagoras :
c² = a² + b²
line² = 396² + 332² = 156816 + 110224 = 267040
line = sqrt(267040) = 516.7591315... m
and we know 1 angle : the 90° angle between the legs.
the other angles we can now get by using the law of the sines :
a/sin(A) = b/sin(B) = c/sin(C)
where the angles are opposite of the lines.
the line of sight is opposite of the 90° angle.
and the height of the skyscraper is opposite of the angle between the line of sight and the shadow. this angle is also the angle of the sun above the horizon, as the extended line of sight would lead directly to the sun.
so, we have
516.7591315.../sin(90) = 396/sin(angle)
as sin(90) = 1
516.7591315... = 396/sin(angle)
sin(angle) = 396 / 516.7591315... = 0.76631447...
angle = 50.02407526...°
Just gonna attach a picture of the problem so it’s easier
Answer:
You have to find the intercept hope this helps
Step-by-step explanation:
what’s an perpendicular equation of a line to y=-2/7x+9 that passes through the point (4,-6)
Answer:
has no prison pits as melatarea
state if the triangles in each pair are similar, if so state how you know they are similar.
Answer:
Looking at both triangles, angle P in triangle PQR = 38 degrees. Angle N in triangle LMN = 38 degrees. Both angles are equal.
Side PQ in triangle PQR = 16
Side MN in triangle LMN = 8
Therefore,
PQ/MN = 16/8 = 2
Side PR in triangle PQR = 14
Side LN in triangle LMN = 7
Therefore,
PR/LN = 14/7 = 2
Therefore, triangle PQR is similar to
triangle LMN because
1) the length of PQ is proportional to the length of MN.
2) the length of PR is proportional to the length of LN
3) angle P = angle N
4) Therefore, QR is also proportional to ML
Therefore,
PQ/MN = PR/LN = QR/ML = 2
Step-by-step explanation:
The pair of the first two triangles are not similar triangles, while the pair of the next two triangles are similar triangles.
What are similar triangles?If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar. To put it another way, comparable triangles are similar in shape but not necessarily in size. In addition, the triangles are congruent if their corresponding sides are of identical length.
As it we know that for the two triangles to be similar triangles, the ratio of their corresponding sides should be the same.
A.) In the first pair of triangles,
For the first pair of triangles to be similar,
[tex]\dfrac{US}{UD}=\dfrac{UT}{UE}=\dfrac{ST}{DE}[/tex]
The above ratio should be similar, but since we can see that the ratio,
[tex]\dfrac{US}{UD}\neq \dfrac{UT}{UE}[/tex]
[tex]\dfrac{39}{16}\neq \dfrac{40}{16}[/tex]
As we can see that the ratio of the sides of the triangle is not the same therefore, the two of the given triangles are not similar triangles.
B.) In the second pair of triangles,
For the second pair of triangles to be similar,
[tex]\dfrac{AB}{HG}=\dfrac{BC}{GF}=\dfrac{CA}{FH}[/tex]
The above ratio should be similar, and as we can see that the ratio,
[tex]\dfrac{72}{12}=\dfrac{48}{8}=\dfrac{84}{14} =6[/tex]
As we can see that the ratio of the sides of the triangle is the same therefore, the two of the given triangles are similar triangles.
Learn more about Similar Triangles:
https://brainly.com/question/25882965
Does the point (4, 8) satisfy the equation y = 2x?
Answer:
Yes
Step-by-step explanation:
You can answer this question by putting in the x-value [the 4 in (4, 8)] in for the x variable to see if you get the y-value [the 8 in (4, 8)] as the solution.
y=2(4)
y=8
Since 8 was the answer then yes, (4, 8) satisfies the equation y = 2x.
HELP PLS!
I'm studying for UCAT as I want to get into medicine. I don't understand probability diagrams like these, please explain it to me.
Answer: 80 (choice B)
=========================================================
Explanation:
This is an interesting venn diagram. Each region is either a circle or some kind of arrow shape. The numbers in the regions correspond to the qualities mentioned. For example, the "55" in the circle outside the other arrow regions tells the reader that there are 55 secretaries who are reliable but don't possess any other quality. As another example, the 35 is inside the circle and the left-pointing arrow to tell us that there are 35 people who are reliable and organized.
What we want to find are the values that are in 3 or more regions. There's only two cases when this happens: The 15 and the 65 as they are in the circle, the double arrow, and one of the single pointing arrows. So we have 15+65 = 80 candidates that possess 3 qualities. No person has all four qualities because there isn't a value that's in all four regions at the same time. Or you could note that the left and right pointing arrows do not overlap which is a big clue that there's no way someone could possess all four qualities at once. It might help to trace out the figures using different colors so you can pull apart the four figures.
Study the system of equations.
x + 7y < 14
x – 2y < 10
Which ordered pair is a solution of this system?
(-1, 3)
(0, 3)
(1, 3) (3, 0)
Answer:
(3,0)
Step-by-step explanation:
A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? 36 characters 144 characters 360 characters 432 characters.
Answer:
432 characters
Step-by-step explanation:
There are 36 inches in a yard, so there will be 36 times 12 characters:
(36 in/yd)(12 char/in) = 432 char/yd
432 characters can be expected per yard of text.
Can someone help me?
Answer:
I figure you could simplify it by multiplying both sides by 6, resulting in -31+23=-30+18-1+5
-8=-8
Step-by-step explanation:
The zoo expected to have 120,000 visitors last year. They
actually had 110,000 visitors. Determine the percent of
error. (Round to the nearest tenth of a percent, if necessary.)
A) 8.3%
B) 9.1%
C) 91.7%
D) 109.1%
find the value of x if p ll q
Answer:
maybe you can attach the screenshot of the task?
We didn’t learn this so I need help! Please provide a good explanation so that I will be able to do problems like his on my own in the future.
Answer:
Ask your teacher to explain it. I think that the answer is one hundred and thirty-two dollars.
Step-by-step explanation:
The simple interest follows this formula:
I = C x r% x t
– C would be the capital; the money that is provided (in this case, $1600)
– r would be the rate, which could be annual, monthly, etc. In this scenario, it's not specified. Therefore, we assume that it's annual as the time is given in years. (It would be equal to 2,75, but don't forget about the percent symbol %, which is equal to 1/100)
– Finally, t stands for time.
Remember that both time and rate must be in the same measurement (annual, monthly, etc).
You multiple everything, and the result is $132
Greg earns $2.50 per hour plus $13.50 for each pool he cleans. He worked 8 hours and cleaned 5 pools. How much did he earn?
Answer:
87.5
Step-by-step explanation:
2.5 multiple by 8(number of hours) gives 20 dollars
Then 13.5 multiple by 5(number of pools cleaned) gives 67.5
The sum of both is 87.5 dollars
what are the correct answers?
cos (75)=cos (15) nothing square and check
Please find the range of these numbers
Answer:7
Step-by-step explanation:range is highest number subtracted by lowest
Answer:
17
Step-by-step explanation:
The formula for range is max-min.
The max is 91 and the min is 74
91-74=17
what is the vertex of the porabola
Answer:
what is the vertex of the porabola by nagla 3by 7
A number minus 33 is at least -5
Answer:
28
Step-by-step explanation:
Put in calculator 28-33= -5
The table below shows a correct representation that 15 pounds (lb) of sugar cost $3:
A. True
B. False
Answer:
A True
Step-by-step explanation:
I have three bits of tinsel measuring the following: 2.3m, 45cm and 750mm. How long is my tinsel altogether in metres?
Find all the missing angles.
Please help
A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?
Answer:
9 oz
Step-by-step explanation:
36 ounces * 0.75 = 9oz.
Therefore, the small jar holds about 27 ounces.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
ILL MARK BRAINLIEST PLEASE HELP! Solve and graph its solution:
In 2005, the average cost of a 32" flat-screen TV was $1,700. In 2015, the average cost of a 32" flat-screen TV was $550. Assuming those were the least and greatest costs during that period, write a compound inequality that describes the cost c of a 32" flat-screen TV between 2005 and 2015.
Answer:x < 1,700. ×> 550
Step-by-step explanation:
Answer:AHHHH
Step-by-step explanation:
Write an inequality to compare the ratios 2/4 and 5/6.
Answer:
5/6>2/4
Step-by-step explanation:
5/6 is greater than 2/4
Which expression would be easier to simplify if you used the commutative
property to change the order of the numbers?
O A. 80 + 20 + (-17)
O B. 2/3 +(-1/3) + 1/5
O C. (–19) + (-10) + 7/8
O D. (-80) + 43+ (-120)
Answer:
Step-by-step explanation:
THE ANSWER IS A. 80 + 20 + (-17)
1/9 (2m - 16) = 1/3 (2m + 4)
Please follow the steps in the picture!
Answer:
1/9 (2m - 16) = 1/3 (2m + 4)
expand
2/9m- 16/9 =2/3m +4/3
move m to other side
- 16/9 =2/3m (-2/9m) +4/3
simplify
- 16/9 =(6-2)/9m +4/3
- 16/9 =4/9m +4/3
move 4/3 to other side
- 16/9 -4/3 =4/9m
- 16/9 -12/9 =4/9m
-28/9 = 4/9m
multiply by 9
4m= -28
m= -7
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
One coin is flipped and then one die is rolled. What is the probability of getting a head on the coin and an odd number on the die? {?} Give your answer as a percentage.
The probability of getting a head on the coin and an odd number on the die is 25%
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
One coin is flipped, and then one die is rolled.
Let H is the head and T is tails.
The sample space is {H, T}
The probability of getting a head on the coin
= The possible outcomes / the total outcomes
= 1/2
One die is rolled.
So, the sample space is {1, 2, 3, 4, 5, 6}
The sample space for odd number is {1, 3, 5}.
The probability of getting an even number on the die
= 3/6
= 1/2
If two events A and B are independent, then the probability that they occur together is the product of their individual probabilities:
P(A and B) = P(A) P(B)
= 1/2 x 1/2
= 1/4
= 0.25
And 0.25 in percentage is 25%.
Therefore, the probability is 1/4.
To learn more about the probability;
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