Answers
Answer:
B.5 1/3
Step-by-step explanation:
got it right on edge
The value of a from the given triangle is [tex]5\frac{1}{3}[/tex] units. Therefore, option B is the correct answer.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
From the triangle we have WX=b, WZ=c, ZY=3, YX=a and WY=4.
By Pythagoras theorem,
c²=4²+3²
c²=16+9
c²=25
c=5 units
In triangle WXZ,
(3+a)²=5²+b² ----(i)
From the triangle WXY,
b²=4²+a² ------(ii)
From equation (i) and (ii), we get
(3+a)²=5²+4²+a²
9+6a+a²=41+a²
6a=32
a=32/6
a=[tex]5\frac{1}{3}[/tex] units
Therefore, option B is the correct answer.
To learn more about the Pythagoras theorem visit:
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Related Questions
Which choice is equivalent to the product below?
Answers
Answer:
equivalent of √6 . ✓3 is option a. 3√2
√6×3 = √18 = √9. √2 = 3√2
EFGH is translated 3 units to the left and 7 units up.
у
1
-1
1 2
4
5
6 7 8 x
E4,-1)
H(
6-2)
2 F10,-3)
-3
G(2, 4)
-5
6
-7
What are the coordinates of H'?
Answers
Answer:
B: 3, 5
Step-by-step explanation:
Lol, literally just took the test on Ap3x right now
Find the area of the polygon 2cm 2cm 3cm in square centimeters
Answers
Answer:
12sq cm
Step-by-step explanation:
For Area, we do lenth x width x height. Here, the lenth and the width is 2, so we do 2x2 which is 4. Next the height is 3 so we do 4x3 which is 12. There is your answer. Hope it helps!
If you answer I’ll reward brainiest it’s easy
Answers
Answer:
1/9 of the total bag is chocolate
sujxjcidskmdowqpmwnsjxoskwajwiskskqkncbeHELP PLEASE. ANAKSMS
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Answers
Answer:
180 degrees
Step-by-step explanation:
the triangle sum theorem states that all angles of a triangle must add up to 180 degrees. this means the answer has to be 180 degrees
Daniel has 250 songs on his MP3 player.
Ninety-five of the songs are by the same singer.
What percent of Daniel's songs are by that one
singer??
A. 26%
B. 38%
C. 62%
D. 83%
Answers
Simplify.
Please help!!
Answers
Answer:
m√n+2n-n√m
Step-by-step explanation:
4√n^2+√m^2n-√4n^2-√mn^2
m√n+2n-n√m
Use the figure to find the Volume.
Answers
Answer:
12π un^3
Step-by-step explanation:
Use the fomula: V= πr2 h
The radius is 2 and the height is 3.
I really don't know how to explain this but I can try, with a self- explanatory steps including the formula .
The work is in the screen shot goodluck.
Hope this helped!
Stay Safe!
helpp it due in 10 min!!!
Answers
the answer for that should be C
Answer:
I think its c
Step-by-step explanation:
4 is the initial cost and 55 is the amount per ticket
TIMED TEST WILL GIVE BRAINLIEST
Answers
Answer: 12?
Step-by-step explanation:
Explanation: 2piR = circumference so to find just radius take out 2pi so you would do 24pi/2pi and cancel out the pi and simplify the 24/2 to just 12 :)
If you know how to do this please help me.
Answers
Answer:
Undefined or no values (assuming no negative zero)
Step-by-step explanation:
The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.
a train leaves a station at 18:20 and arrives its destination at 02:28.How long did it take?
Answers
Answer:
8 hours and 8 minutes
Step-by-step explanation:
there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.
if a ferris wheel at the fair has a radius of 18 ft how far will you travel after 8 trips around the ferris wheel
Answers
The formula is 2 π r
Enter an algebraic expression that represents the product of r cubed and one hundred seven.
Answers
Answer:
107r³
Step-by-step explanation:
Try solving it using
An algebraic expression that represents the product of r cubed and one hundred seven is 107r³.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that represents the product of r cubed and one hundred seven.
Therefore, an algebraic expression that represents the situation
r cubed = r³
one hundred seven = 107
Thus, it would be;
107r³
Hence, an algebraic expression that represents the product of r cubed and one hundred seven is 107r³.
To know more about an expression follow;
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PLZ HELP
What is the x-intercept of the graph y = 2x - 14?
-14
-7
0
7
Answers
substitute y=0
0=2x-14
-2x=-14
x=-14/-2
x=7
I will mark you brainalist
Answers
Answer:
the answer is X=-7
,,,,,
Answer:
it would be x=7
Step-by-step explanation:
brainliest pls
does y = -5x represent a proportional relationship?
Answers
Answer: No
Step-by-step explanation: A proportional relationship can be described by an equation of the form y = kx, where k is a number called the constant of proportionality.
Final question - whats the answer?
Answers
Answer: 7^5 or 7 to the fifth power.
Step-by-step explanation: This is an exponent meaning you count the 7’s and in the first picture there’s 5 7’s. This means that the number your putting to a power is the yellow box so that’s 7 and the exponent is 5 not 4 because if you did 7 to the first power it’s still 7 so it would be 7 to the 5th power or 7^5
Is my answer choice wrong or right?
Answers
Answer:
It is correct
Step-by-step explanation:
Gr8 job
Please help with this.
Answers
Answer:
A and C are the correct options.
A quantity who values do not change is called a
A) Variable
B) Pattern
C) Constant
D) Algebraic expression
Answers
Answer:
C) constant
Step-by-step explanation:
it would be a constant ! you can remember this by thinking of the meaning of the word constant; consistent. it does not change, constantly. i hope that helped some :)
Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12.00 pm the temperature rose 6
degrees Fahrenheit, what is the
temperature at
12:00 pm in degrees?
Answers
The Arc Electronic Company had an income of 59 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year
Answers
Answer:
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars
This means that [tex]\mu = 45, \sigma = 7[/tex]
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{59 - 45}{7}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
Jim did 35 push-ups on Saturday, 42 push-ups on Sunday, 49 push-ups on Monday, and 56 push-ups on Tuesday. What kind of sequence is this?
Answers
Answer:
increasing sequence of +7
Step-by-step explanation:
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please give 5 stars
thank you
A- (x+4) (4x-1)
B- (x-4)(4x-1)
C-(x+4)(4x+1)
D-(x-4)(4x+1)
Answers
D-(x-4)(4x+1) is your answer
Answer:
4x²-15x-4
doing middle term factorization
4x²-16x+x-4
4x(x-4)+1(x-4)
(x-4)(4x+1)
Jean worked 47 hours last week and was paid $527. How much was she paid per hour?
Answers
Answer:
11.2127659574
Step-by-step explanation:
Answer:
$11.21 per hour.
Step-by-step explanation:
Divide the pay by the hours worked and round to the nearest tenth.
527/ 47 = 11.21276596 then round to 11.21
Need help question #1. Show steps please
Answers
Answer:
C
Step-by-step explanation:
We want to integrate:
[tex]\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx[/tex]
Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:
[tex]u=4x^5+15x+2[/tex]
By differentiating both sides with respect to x:
[tex]\displaystyle \frac{du}{dx}=20x^4+15[/tex]
We can "multiply" both sides by dx:
[tex]du=20x^4+15\,dx[/tex]
And divide both sides by 5:
[tex]\displaystyle \frac{1}{5}\, du=4x^4+3\,dx[/tex]
Rewriting our original integral yields:
[tex]\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)[/tex]
Substitute:
[tex]\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)[/tex]
Simplify:
[tex]\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du[/tex]
This is a common integral:
[tex]\displaystyle =\frac{1}{5}\ln|u|[/tex]
Back-substitute. Of course, we need the constant of integration:
[tex]\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C[/tex]
Our answer is C.
Solve | 2x | = | x + 3 | by graphing
Answers
Answer:the answer is 3 and -1
Step-by-step explanation:
X=3
And
X=-1
Identify the distance between points (−1,7,10) and (6,−3,2), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.
Answers
Answer:
d ≈ 14.6 units; M (2.5, 2, 6)
Step-by-step explanation:
Using the distance formula for 3-D dimensions, you get the √(213) which equals 14.6
Then, using the midpoint formula for 3-D dimensions, you find the coordinates 2.5 for x, 2 for y, and 6 for z.
Kennedy lives in the middle of the city. Her friend Zoe lives 8 miles to the west and her friend Shiloh lives 6 miles to the south. Approximately how far apart do Zoe and Shiloh live from each other?
Answers
Answer:
i would say about 16 miles.
Answer:
Step-by-step explanation:
Draw a picture. The lines between their houses forms a right triangle. Kennedy is at the 90°. The distance between Shiloh and Zoe is the hypotenuse of the triangle, so use the Pythagorean Theorem.
Distance² = 8² + 6² = 100
Distance = √100 = 10 miles
