Answer:
x=6 y=12
Step-by-step explanation:
30-60-90 triangle
shorter leg is x
longer leg is [tex]x\sqrt{3}[/tex]
hypotenuse is 2x
since the longer leg is [tex]6\sqrt{3}[/tex] than makes x=6
and y=2(6)=12
solve the equation
z³=18+26i
where z=x+yi, x and y are integers
HELP ASAP WILL GIVE BRAINS LIST
jack and clint are running backs on rival college football teams. the table below shows the number of yards they have ran in each of their first five games of a season. how many yards would clint need to run in his next game to average the same number of yards as jack?
Answer:
Clint would have to run 127 yards next game to average the same number of yards as Jack.
Step-by-step explanation:
First, we find the boys' averages by adding all their yards and then dividing by the number of games.
For Jack, we get 490 yards in total, which we divide by 5, the number of games. We get a 98 yard average.
For Clint, we get 461 yards in total, which we divide by 5, the number of games. We get a 92.2 yard average.
We know Clint wants to average 98 yards at the end of the next game. That would make 6 games total. We can multiply 98 x 6 to get the total number of yards for a 98 yard average in 6 games. We get 588 yards in total. Clint already ran 461 yards in total, so we can subtract that from 588. We have 127 yards left. We now know that Clint needs to run 127 yards in the next game for a 98 yard average.
The number of yards that client needs to run in his next game to average the same number of yards as jack will be 127.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how small the amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Mean = sum of data / Number of data
The average of Jack = (123 + 87 + 108 + 80 + 92)/5 = 98
The average of Clint = (88 + 101 + 96 + 92 + 84)/5 = 92.2
To make this average 98 let's say Clint's score in the next game is x.
Mean = (88 + 101 + 96 + 92 + 84 + x)/6 = 98
(92.2 x 5 + x) = 98 x 6
x = 127
Hence"Clint needed to add 127 to be mean as same as Jack".
For more about the mean,
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The product of 8 and the sum of a number m and 2 is 16
Step-by-step explanation:
8(m + 2)= 16
8m + 16 = 16
8m = 0
m = 0
Simplify: x^1/3( x^1/2 + 2x^2)
Answer:
Step-by-step explanation:
x^1/3( x^1/2 + 2x^2)
x^(1/2 + 1/3) + 2x^(2 + 1/3)
x^(5/6) + 2x^(7/3)
Solve the following system of equations algebraically:
Y = x^2 + 8x – 9
Y = 2x + 7
Help me please? Making brainliest!
Answer:
0.33333
Step-by-step explanation:
[tex] \huge \red {\frac{1}{3}} \orange {=} \purple {0.33333} [/tex]
Hope it helps you in your learning process
solve for x please answer this question
Answer:
<15
Step-by-step explanation:
What is the area of a circle with a radius of 4 ft?
(Use 3.14 for Pi.)
Step-by-step explanation:
A = Pi x r^2
r=4_____________
Answer:
50.26548
50.27 Rounded to the hundredths place .
The amount of television viewed by today's youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were 16 and 4, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a bell-shaped distribution. Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
A) between 12 and 20 hours per week
B) between 8 and 24 hours per weelk
C) between4 and 28 hours per week
D) less than 12 and more than 20 hours per week
Answer:
B) between 8 and 24 hours per week
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 16, standard deviation of 4.
Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
Within 2 standard deviations of the mean, so:
16 - 4*2 = 16 - 8 = 8 hours per week.
16 + 4*2 = 16 + 8 = 24 hours per week.
This means that the correcgt answer is given by option B.
Given the series 2 + two-thirds + StartFraction 4 Over 9 EndFraction + StartFraction 8 Over 27 EndFraction + StartFraction 16 Over 81 EndFraction + StartFraction 32 Over 243 EndFraction + ellipsis, which partial sums are correct? Check all that apply.
edge
Answer:
A and C
Step-by-step explanation:
Edge 2021
The partial sums are correct are Option A and Option C. That is: (2) and (28/9).
What is a partial sum?A partial sum (simply put) refers to the sum of the various parts that make up a sequence.
For example, in the above sequence given as:
2 + (2/3) + (4/9) + (8/27) + (16/81) + (32/243) + ...
A partial sum would be:
2 + (2/3).
In this case, thus,
Learn more about partial sums at:
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The circumference of a circle 25.12ft. What is the circle’s diameter (take =3.14
Answer:
Diameter = 8 ft
Step-by-step explanation:
To find diameter, we need to work backwards from the formula for circumference of a circle.
Circumference = 2πr
given that π = 3.14
Circumference = 2*3.14*r
25.12 = 2*3.14*r
25.12 = 6.28 * r
4 = r
Radius = 4
Formula for Diameter =
D = 2r
D = 2*4
D = 8
Diameter = 8
Lets Check
Circumference = 2 * 3.14 * 4
Circumference = 25.12
Correct
If my answer is incorrect, pls correct me!
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-Chetan K
Can someone please help me ASAP
How many solutions exist for the given equation?
1/2(x + 12) = 4x - 1
zero
one
two
O infinitely many
Answer: X = 2
Step-by-step explanation:
Step 1: Simplify both sides of the equation!
Step 2: Subtract 4x from both sides.
Step 3: Subtract 6 from both sides.
Step 4: Multiply both sides by 2/(-7).
BEEN ASKING FOR AN HOUR NOW!! the following two triangles are similar to each other. find the length of the missing side.
Answer: just multiply the same sides that same number and that add the answers all together
Step-by-step explanation:
Animals in an experiment are to be kept under a strict diet. Each animal should receive 60 grams of protein and 9 grams of fat. The laboratory technician is able to purchase two food mixes: Mix A has 30% protein and 6% fat; mix B
has 50% protein and 5% fat. How many grams of each mix should be used to obtain the right diet for one animal?
One animal's diet should consist of grams of Mix A
Answer:
hey there buddy
Step-by-step explanation:
YO SOMEONE HELP MEEE
Answer:
x= -14
Step-by-step explanation:
classify the triangle by its sides and by measuring of its angles
Select the correct answer.
What does an individual's effective tax rate indicate?
Α.
the average Income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year's tax rate
Answer: B
Step-by-step explanation:
An individual's effective tax rate is the average tax rate.
The numerator of a fraction is 9 and the denominator is 6. All of the following numbers are equivalent except ____.
○ 2/3
○ 3/2
○ 1 ½
○ 18/12
Answer:
2/3
Step-by-step explanation:
In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84. What ratio represents the cosecant of ∠P?
Given:
In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84.
To find:
The cosecant of ∠P.
Solution:
In a right angle triangle,
[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Perpendicular}[/tex]
It is also written as:
[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Opposite}[/tex]
In triangle PQR, QP is the hypotenuse because ∠R=90°.
[tex]\text{cosec}P =\dfrac{QP}{RQ}[/tex]
[tex]\text{cosec}P =\dfrac{85}{13}[/tex]
Therefore, the required trigonometric ratio is [tex]\text{cosec}P =\dfrac{85}{13}[/tex].
PLSSS HElpppp!! DUE TODAYYY⛔️
Some children measured the lengths of their feet. The lengths are given in the line plot. What is the difference in length between the shortest and longest foot?
Answer:
Step-by-step explanation:
Find the x-intercepts of the parabola with
vertex (3,4) and y-intercept (0,-5).
Write your answer in this form: (X1,41), (X2,42).
If necessary, round to the nearest hundredth.
Enter the correct answer.
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,9,14,...
Answer:
It is an arithmetic sequence and the common difference is 5
Step-by-step explanation:
4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)
Which of the following is an example of a sample that would NOT be random? A. Going through the list and choosing the first 25 names on the list. B. Writing each student’s name on a card and then drawing out 25 names without looking. C. Choosing one student at random from the list and going through the list and choosing every fifth student until she has 25 names. D. Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the value of y
Answer:
85 i thinkkkk
Step-by-step explanation:
Need help solving this problem.
-30x+147=-171-24x
Answer:
-30x+147= -171-24x
+24x +24x
-6x+147= -171
-147 -147
-6x= -318
x=53
Hope this helps!
Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for 2.
6
(0, 1)
(3,-1)
5
A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of 14%. How much, including tax, did he pay for the mountain bike?
Answer:
1,236.33
Step-by-step explanation:
Answer:1,236.33
Step-by-step explanation:
The first step in solving a problem is to write a let statement
Answer:
whats this? can you provide more context?
Step-by-step explanation:
Look at the figure. How can you prove the triangles are congruent?
Answer:
SSS - The two triangles share all 3 sides, proving they are congruent.
Step-by-step explanation:
Two sides of each triangle are marked in the diagram as equal. The third side, [tex]\overline{BD}[/tex] is shared between both sides, meaning that both triangles share all three sides. This is known as SSS (side-side-side) and is a proof of congruence.
Step-by-step explanation:
In triangle ABD In triangle CBD
AB. = BC. [Given]
AD. = CD. [Given]
BD. = BD. [Common side]
Therefore,
According to SSS Congruence condition
Triangle ABD is congruent to Triangle CBD