Answers
Answer:
The value of x = 5 units.
Step-by-step explanation:
Given the right-angled triangle ∆ABC with the following dimensions
AC = a = 12
BC = c = hypotenuse = 13
AB = b = x
Pythagorean Theorem
For a right-angled triangle with the sides, a and b the hypotenuse c is defined as:
[tex]c=\sqrt{a^2+b^2}[/tex]
Thus, using the Pythagorean Theorem to determine the value 'x',
[tex]b=\sqrt{c^2-a^2}[/tex]
as b = x, so
[tex]x=\sqrt{c^2-a^2}[/tex]
a = 12c = 13so
[tex]x=\sqrt{13^2-12^2}[/tex]
[tex]x=5[/tex]
Therefore, the value of x = 5 units.
Related Questions
PLEASSSE HELP ASAP I'LL GIVE ⊂BRAINLIEST⊃ AND ↑5 STARS↑ !!!
⇔ all answers answered are required for 5 stars & brainliest⇔
Wilson paints 40% of a bookcase in 20 minutes.
How much more time will it take him to finish the bookcase? Write an equation using equal fractions to represent this situation. Use a box to represent the total time it takes to paint the bookcase.
second question
How much time will it take Wilson to finish painting the bookcase? Explain.
Answers
Answer:
Step-by-step explanation:
30 minutes UoU
Every 10 minutes he finishes 20% of the book case.
so In 10 minutes he will have 50% done, In 20 minutes 60%, in 40 minutes 100%
What is the percentage difference in average lifetime earnings of a college graduate earning $60,000 / year vs. a high school graduate earning $38,000 / year?
Answers
Answer: 37
Step-by-step explanation:
I need help ASAP ! Nd plz help me how to show work
Answers
Answer:
x = -3
Step-by-step explanation:
y = -x + 2
7x + 4y = -1
Subsitution method: (Substitute y)
7x + 4(-x+2) = -1
Expand.
7x + (-4x + 8) = -1
One plus and one minus make one minus. Two plus makes a plus.
7x -4x + 8 = -1
Simplify.
3x + 8 = -1
Isolate 3x.
3x = -1-8
= -9
Find x.
x = -9 ÷ 3
= -3
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Answers
Answer:
1514.8
Step-by-step explanation:
Answer:
1,514.8
Step-by-step explanation:
An estate of $485,000 is left to three siblings. The eldest receives 3 times as much as the youngest. The middle sibling receives $13,000 more than the youngest. How much did each receive?
Answers
Answer:
Step-by-step explanation:
the youngest received 94,200
the middle received 107,200
the eldest received 283,600
Step-by-step explanation:
Given parameters:
Worth of the estate = $485000
Unknown:
Amount received by each sibling = ?
Solution:
Let the amount received the eldest = e
middle = m
youngest = y
e = 3y
m = y + 13000
so;
e + m + y = 485000
3y + y + 13000 + y = 485000
5y = 485000 - 13000
5y = 472000
y = $94400
Eldest = 3y = 3 x 94400 = $283200
Middle = $94400 + $13000 = $107400
Youngest = $94400
The graph below shows the number of cases of candy bars four students sold for a fundraiser and the total number of candy bars in those cases. How many candy bars are in each case
Answers
Answer:
Step-by-step explanation:it’s between 30 and 50
Answer: The answer is 25
Step-by-step explanation: If you look at the kid with 200 bars he had 8 boxes, so all you had to do was divide 8 by 200. I hope this helped! : )
Gven f(x) = -5x+9 If F(x)=-89. find x
Answers
Answer:
19.6 = X
Step-by-step explanation:
Plug in -89 for F(x)
Then just solve.
Get that 100.
Simone paid $5.25 for 3 pounds of apples. Which equation represents the cost, in dollars, C, of buying a pounds of apples?
C = 1.75a
C = 2.25a
C = 1.75 + a
C = 2.25 + a
Explain whatever the answer is.
Answers
If ABCD is a parallelogram. BC=13 and AB=5, what is the perimeter of the parallelogram?
Answers
Answer:
36
Step-by-step explanation:
In a Parallelogram , it is important to note that opposite sides are equal to each other.
We are given parallelogram ABCD.
We have sides: AB, BC, CD, AD.
Since opposite sides are equal then:
AB = CD
BC = AD
The perimeter of a parallelogram is the sum of all its sides.
In the question: BC=13 and AB=5
Hence,
AB = CD = 5
BC = AD = 13
Perimeter of Parallelogram ABCD = 5 + 5 + 13 + 13
= 36.
what's the answer plz
Answers
Answer:
x ≥ 33
Step-by-step explanation:
Answer: the answer is 33
Need help I’ll mark brainliest
Answers
Answer:
Step-by-step explanation:
y=25x if y is the miles and x is the time
Answer:
u just got to multiply it, for extra and faster help, use math away for ur math and its a bot so obviously it will tell you the answer and steps, hope I hekoed and plus my bday is in 6 days I'll be 13! I'm just so excited!!! I'm a girl, you could call me Che and yeah... I forgot what I was gonna say but bye and pls yall, pls be nice to me, it's close to my bday! thx.
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Step-by-step explanation:
What is the equation of this line?
Answers
4. To be linear means to have a constant (the same)
rate of change over all intervals. Which of the
following relationships is linear?
|
X
4.
2.
0
Y
1
5
13
17
X
1
2
4
5
Y
1
3
5
7
A.
B.
X
5
3
-1
-3
Y
1
5
13
17
Y
5
9
Sinaloa
1
6
C.
D.
Answers
The coordinates of both the pre-image and image of quadrilateral JKLM are listed in the table
below.
Which rule best represents this dilation?
A- (x, y) -> (4/11 x, 4/11 y)
B- (x,y) -> (3/22 x, 3/22 y)
C- (x, y) -> (11/4 x, 11/4 y)
D- (x, y) -> (22/3 x, 22/3 y )
Answers
Answer:
Option C.
Step-by-step explanation:
From the table attached,
Pre-image coordinates J(-8, 2) → Image coordinates J'(-22, 5.5)
J(-8, 2) → J'(-22, 5.5)
Since, rule for the dilation of a point is,
(x, y) → (kx, ky) [Here k = scale factor of dilation]
Therefore, kx = -22
k(-8) = -22
k = [tex]\frac{-22}{-8}[/tex]
k = 2.75
So the scale factor should be 2.75
From the given options,
Option A.
(x, y) → [tex]\frac{4}{11}(x, y)[/tex]
→ 0.36(x, y)
But value of k should be 0.36
Therefore, Incorrect option.
Option B.
(x, y) → [tex]\frac{3}{22}(x, y)[/tex]
→ 0.14(x, y)
k = 0.14
But the value of k should be 2.75
Incorrect option.
Option C.
(x, y) → [tex]\frac{11}{4}(x, y)[/tex]
→ 2.75(x, y)
k = 2.75
Therefore, this option is correct.
Option D.
(x, y) → [tex]\frac{22}{3}(x, y)[/tex]
→ 7.33(x, y)
k = 7.33
But the scale factor should be 7.33
Incorrect option.
Which linear inequality and its solution set is represented by the graph?
Answers
Answer:
im pretty sure its y is more than or equal to 3x - 4
Step-by-step explanation:
The table shows the relationship between y, the cost to rent a boat, and x, the mount of
time the boat is rented
Boat Rental Costs
Time,
Cost
(hours) (dollars)
1
32
5
104
Which grabest represents the relationship between x and y'shown in the table?
Boat Rental
Boat Rental
Answers
Answer: A
Step-by-step explanation:It shows the correct graph
When using inverse operations, what should you do to solve y - 7 = 10?
Answers
Answer:
17
Step-by-step explanation:
There is a SUBTRACTION symbol in the problem. So, you will do the opposite, & ADD the 2 available numbers in the equation. 10+7=17
When you replace that y with 17, the equation is correct.
Use the data below to determine how many days of class a student missed if he or she has a quarter grade of 40%.
Question 3 options:
A.7 days
B.4 days
C.9 days
D.1 day
Answers
Answer:7 days
Step-by-step explanation:
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment. A 5-column table with 2 rows. Column 1 is labeled Bond with entries A B C 7 and one-half 15, X Y Z 7 and three-fourths 15. Column 2 is labeled current yield with entries 7.5, 8.4. Column 3 is labeled volume with entries 128, 17. Column 4 is labeled Close with entries 104 and three-fourths, 100 and one-half. Column 5 is labeled net change with entries blank, + one-fourth. If you buy five of the XYZ bonds with $8 commission for each, how much will it cost? a. $5025 b. $5065 c. $1005 d. $1045
Answers
Answer:
Answer is B. 5065
Step-by-step explanation:
Edge says so
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.
What was the price of the XYZ bond on the previous day?
Edge says its C. 100 1/4
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.
What was the price of the ABC bond on the previous day?
Edge says its D. 104 3/4
Answer:B
Step-by-step explanation:
The table below shows the total cost for purchasing a certain number of equally-priced concert tickets
Write an equation to describe the relationship between t, the number of tickets, and c, the total cost of tickets.
Answers
Answer:
c=55t
Step-by-step explanation:
Your answer will be c=55t
5+2(10-4) ask question?
Answers
Answer: It is 17
Step-by-step explanation:
5+2(10-4)
5+2(6)
5+12
17
Answer: 17
Step-by-step explanation: you just have to simplify
You invest $3,635 in an investment with annual rate of return 6%. How much will the investment be worth after 8 years?
Answers
Answer:
5,379.80
Step-by-step explanation:
you multiply $3,635 times .06, and you'll get $218.10. then you multiply $218.10 times 8. you will get $1,744.80. you then add your original amount of $3,635 and the final answer is $5,379.80
x/-4 = -1.1
I’m bad at one step equations so thank you if you help <3
Answers
x/-4 = -1.1
=> x = -1.1 × -4
=> x = 4.4
Alyssa had to read 110 pages over the weekend. By Saturday, she had completed 60 pages. What percent did she complete? Which proportion can be used to solve? *
60/110 = x/100
x/110 = 60/100
110/60 = x/100
Answers
Answer:
i believe the answer is c or 110/60=x/100
Step-by-step explanation:
Connor and Maria are doing yard work for a neighbor. They make a total of $596.58. Since Maria works more hours than Connor, Maria gets 59% of the money. About how much (in whole dollars) does Maria make?
Maria makes about:
$300
$310
$240
$360
$410
$420
Answers
Answer:
360
Step-by-step explanation:
but 350 more accurately
debby collected eight times as many bags of cans as her friend .if her friend collected two thirds of a bag. how many bags did debby collect
Answers
Answer:
5 1/3
Step-by-step explanation:
I caculated 2/3 times 8
How long will it take for an investment to triple, if interest is compounded continuously at 8%?
It will take years before the investment triples.
Answers
Answer:
It will take 14 years before the investment triples
Step-by-step explanation:
Continuous Compounding
Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.
The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:
[tex]FV = PV\cdot e^{i.t}[/tex]
Where:
FV = Future value of the investment
PV = Present value of the investment
i = Interest rate
t = Time
It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.
Substituting the known values:
[tex]3PV = PV\cdot e^{i.t}[/tex]
Dividing by PV:
[tex]3 = e^{i.t}[/tex]
Taking logarithms:
[tex]\ln 3=i.t[/tex]
Solving for t:
[tex]\displaystyle t=\frac{\ln 3}{i}[/tex]
[tex]\displaystyle t=\frac{\ln 3}{0.08}[/tex]
t = 13.7 years
Rounding up:
It will take 14 years before the investment triples
It will take 37.5 years before the investment triples.
The formula for calculating the future value is expressed as:
[tex]A =Pe^{rt}[/tex]
P is the principal
r is the rate (in %)
t is the time (in years)
If the investment tripled, then A = 3P. The equation will become:
[tex]3P=Pe^{rt}\\3=e^{rt}\\ln3 =lne^{rt}\\rt = 3\\0.08t =3\\t =\frac{3}{0.08} \\t =37.5 years[/tex]
Hence it will take 37.5 years before the investment triples.
Learn more here: https://brainly.com/question/18442810
Right now, Kate is 4 times as old as Tim. In four years, Katie will be 2 times as old as
Tim How old is each of them right now? How old will they be in four years?
Answers
Answer:
wth kinda question is this well how old is tim they could be 15 or 30 we don't clarify for us
Step-by-step explanation:
get smarter for asking question
Answer:
ya what the guy said above me
Step-by-step explanation:
help me for brainliest :p
Answers
Answer:
it is b
Step-by-step explanation:
when you divide exponents you subtract them. when you have parentheses you multiply the exponents. the one on the left is 6^13 and the one on the right is 6^8. 6^13 is more than 6^8.
what is the solution to the inequalities shown above x/4 + 16 > 34?
A. x 18
C. x > 72
D. x < -72