Answers
Answer:
x=10, y=24
[tex]\left(34-y\right)^2+y^2=676[/tex]
Step-by-step explanation:
Answer:
x = 10 and y = 24
Step-by-step explanation:
Perimeter of triangle = sum of the 3 sides of the triangle
:. x + y + 26 = 60
x + y = 60 - 26
x + y = 34 ---- (1)
From Pythagoras theorem,
x² + y² = 26²
x² + y² = 676 ---- (2)
From equation (1): y = 34 - x
:. x² + (34 - x)² = 676
x² + 1,156 - 68x + x² = 676
x² + x² - 68x + 1,156 - 676 = 0
2x² - 68x + 480 = 0
x² - 34x + 240 = 0
(x² - 24x) - (10x + 240) = 0
x(x - 24) -10(x - 24) = 0
(x - 24)(x - 10) = 0
x = 24 or 10
y = 34 - x
y = 34 - 10 = 24
:. x = 10 and y = 24
Related Questions
the train regularly travels 135 miles in 60 minutes.
What is the speed, in miles per minute, on this portion of the route?
Answers
Answer:
2.25 miles per minute
Step-by-step explanation:
Speed = Distance/Time
135/60
2.25 miles per minute
Answer from Gauthmath
if a 27% is a sale profit , how much profit is in the sale of $4650?
pls explain if u can. thanks!!
Answers
Answer $1,255.50
Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer:
x = 3sqrt(2)/2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
The two legs are equal, x
x^2 + x^2 = 3^2
2x^2 = 9
Divide each side by 2
x^2 = 9/2
Take the square root of each side
sqrt(x^2) = sqrt(9/2)
x = sqrt(9)/ sqrt(2)
x = 3 / sqrt(2)
x = 3 sqrt(2) / sqrt(2)*sqrt(2)
x = 3sqrt(2)/2
Answer:
Step-by-step explanation:
The Pythagorean triple for a 45-45-90 triangle, which this is BTW is, in terms of the pattern: (x, x, x√2) where each x is the length of a side across from a 45 degree angle and x√2 is the side length across from the 90 degree angle (this side is also known as the hypotenuse). If the hypotenuse is 3 units long, and the pattern for the hypotenuse is x√2, we can solve for x, the sides across from the 45 degree angles, by setting 3 equal to its pattern for the hypotenuse:
[tex]3=x\sqrt{2}[/tex] so
[tex]x=\frac{3}{\sqrt{2} }= \frac{3\sqrt{2} }{2}[/tex]
Simplify the following expression: 7(5 + 3) + 2ˆ4
Answers
72
Step-by-step explanation:7(5 + 3) + 2ˆ4
P ()
E ^
M *
D /
A +
S -
7(8) + 16
= 72
Hey there!
7(5 + 3) + 2^4
5 + 3 = 8
= 7(8) + 2^4
2^4
= 2 * 2 * 2 * 2
= 4 * 4
= 16
= 7(8) + 16
7(8) = 56
= 56 + 16
= 72
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
which of the answers is correct
Answers
Answer:
Option C, sin Y = 38/63
Step-by-step explanation:
sin Y = Opposite/Hypotenuse
sin Y = 38/63
Answered by GAUTHMATH
PLEASE HELP!!
Find an equation in general form for the straight line that passes through the point (-1.4) and is
perpendicular to the line 2x + 3y = 6
Answers
9514 1404 393
Answer:
3x -2y +11 = 0
Step-by-step explanation:
The equation of the line perpendicular to ax+by=c through point (h, k) can be written as ...
b(x -h) -a(y -k) = 0
Simplifying this will put it in general form.
__
You have a=2, b=3, (h, k) = (-1, 4), so your equation is ...
3(x +1) -2(y -4) = 0 . . . . fill in the values
3x -2y +11 = 0 . . . . . . . simplify
Find the first term and the common difference of the arithmetic sequence whose 6th term is 30 and 12th term
is 54.
Answers
Answer:
10 and 4Step-by-step explanation:
The first term is a, common difference is d.
The 6th term:
a + 5d = 30The 12th term:
a + 11d = 54Solve the system by elimination:
11d - 5d = 54 - 306d = 24d = 4Find a:
a + 5*4 = 30a + 20 = 30a = 10Answer:
Given :-6th term = 30
12th term = 54
To Find :-First term
Common difference
Solution :-We know that
[tex] \sf \: a_{n} = a + (n - 1)d[/tex]
For 6th term
[tex] \sf \: 30 = a + (6 - 1)d[/tex]
[tex] \sf \: 30 = a + 5d[/tex]
For 12th term
[tex]\sf \: a_{n} = a + (n - 1)d[/tex]
[tex] \sf \: 54 = a + (12 - 1)d[/tex]
[tex] \sf \: 54 = a + 11d[/tex]
On subtracting both
[tex] \sf \: 54 - 30 = a + 11d - (a + 5d)[/tex]
[tex] \sf \: 54 - 30 = a + 11d - a - 5d[/tex]
[tex] \sf \: 24 = 6d[/tex]
[tex] \sf \: \dfrac{24}{6} = d[/tex]
[tex] \sf \: 4 = d[/tex]
Now
Using 2
[tex] \sf \: 54 = a + 11d[/tex]
[tex] \sf \: 54 = a + 11(4)[/tex]
[tex] \sf \: 54 = a + 44[/tex]
[tex] \sf \: 54 - 44 = a[/tex]
[tex] \sf \: 10 = a[/tex]
The price of a litre of milk increased from $1.25 in 2004 to $1.35 in 2006. What is the average price increase per year?
Answers
Answer:
$0.05/year
Step-by-step explanation:
Number of years:
2006 - 2004 = 2
From 2004 to 2006 it's 2 years.
Difference in prices:
$1.35 - $1.25 = $0.10
Average change of price per year:
$0.10 / 2 years = $0.05/year
Pythagorean Theorem
The diagram shows square 1, 2, and constructed on the sides of right
triangle
3
1 2
Which statement about the squares must be true?
Answers
Option A
We can prove this by a example
Take a pythagorean triplet 3, 4, 5
Now 5 is the hypotenuse
Area 1 = 3^2
= 9
Area 2 = 4^2
=16
Area 3 = 5^2
=25
So 9 + 16 = 5
25 = 25
Therefore its option A
Answered by Gauthmath must click thanks and mark brainliest
The correct relation between these rectangle is (Area of 1) + (Area of 2) = (Area of 3)
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
From the general formula of the area of the square,
Area of 1 = (side of 1st)²
Area of 2 = (side of 2nd)²
Area of 3 = (side of 3rd)²
From the Pythagorean theorem in the given triangle,
(side of 2nd)²+(side of 1st)² = (side of 3rd)²
Thus,
(Area of 1) + (Area of 2) = (Area of 3)
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ7
A shopkeeper marks the price of an article 25% above the cost price. Then he allows a discount of 10% of the marked price. Find the profit percentage.
Answers
here is your answer hope you will understand it
Please see picture for question.
Answers
Answer:
7
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7 ^ 1/5 ^ 5
7^ (1/5*5)
7^1
7
What is the volume of the rectangular prism in simplest terms?
Answers
Answer:
V=w*h*l
Step-by-step explanation:
w=width
h=height
l=length
volume = w*h*l
volume = w*h*l
volume = w*h*l
Please explain on how to do this.
Answers
Answer:
2.8 * 1.4 = 3.92.
Hope this answer helps you. Thank you.
Answer:
hope it helps you.........
Which of the choices below could be a scientific problem?
a. Tomato plants require 8 hours of direct sunlight to thrive.
b. Plant a tomato seedling 6 inches deep a large pot.
C. If tomato plants receive 4 hours of direct sunlight, then they will thrive.
d. How much sunlight do tomato plants need to thrive?
Answers
Answer:
D. How much sunlight do tomato plants need to thrive?
Step-by-step explanation:
help me please !! find the domain and range of the function represented by the graph. determine wether the domain is discrete or continuous.
Answers
Answer:
Domain is the whole R and the range is R+. The domain is continuous
The bar graph shows the median income for families in the United States from 1993 through 2000.
Which two consecutive years saw the largest increase in median income?
A. 1994–1995
B. 1997–1998
C. 1998–1999
D. 1999–2000
Answers
The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.
Given that
In 1994-1995, the median income is 37,500 and 38,500.In 1997-1998, the median income is 39,700 and 41,000.In 1998-1999, the median income is 41,000 and 42,200.In 1999-2000, the median income is 42,500 and its less.So after analysis, we can conclude that The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.
Learn more about the bar graph here: brainly.com/question/14894834
if f(x) = 2x²+2x-1, g(x) = x²+5x+2 f(x)=g(x), find the value of x
Answers
Answer:
Possible Answers: –5. –21. 7. –1
Answer:
just put the values and simpilyfy it untill you get the value of X
hence, the value of X is either 3 or, -1
Please help Im confused and I need this to be done ASAP what is the range
Answers
Answer:
All Real Number greater than 0 or
(0, positive infinity)
Step-by-step explanation:
The range is all possible y values of a function. We can tell a range by looking at the lowest y vaule then going to the highest possible y value.
Look at the graph. There is a open circle at y=0. So this means we are not going to include 0 in our function. The graph approaches f(x) to positive Infinity so our highest y value is Infinity.
So we know that the function y values cannot be zero and it must be positive. So our range is
All Real Number greater than 0. Or
(0, positive infinity)
Find the input (x) of the function y=5x-3 if the output (y) is 32
Answers
Answer:
x = 7
Step-by-step explanation:
Given
y = 5x - 3 ← equate 5x - 3 to 32
5x - 3 = 32 ( add 3 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7 ← input
Answer:
x=7
Step-by-step explanation:
y=5x-3
y = 32
32 = 5x- 3
Add 3 to each side
32+3 = 5x-3+3
35 = 5x
Divide by 5
35/5 = 5x/5
7 =x
the scale of a map is 1cm to 12km what is the distance on land if the length from town A to town B on the map is 15cm
Answers
Answer:
180 km
Step-by-step explanation:
1 cm=12 km
15 cm=12×15=180 km
Please help i do not understand this question!
Answers
Answer:
Distributive property
Step-by-step explanation:
The rule being shown here is the distributive property, because the first binomial is taken apart and separately multiplied with the other binomial.
2.59 is greater or less than 2.684
Answers
Answer:
Less than.
Step-by-step explanation:
2.59 is less than 2.684 by 0.094
2.59 < 2.684
~
Answer:
Less than
Step-by-step explanation:
2.59 is smaller than 2.684 because the first number (the tenth) is bigger than the other first number (2.59) so it should be bigger.
Mike has a total of 1371 coins in his piggy bank if the total value of his coins is $230.25 and make it only has dimes and quarters how many more times than quarters does Mike have
Answers
Answer:129
Step-by-step explanation:(621 x 0.25) + (750 x 0.10) = 230.25
750 - 621 = 129 more dimes than quarters
Check the attached image
Answers
B
Step-by-step explanation:
Note: This doesn’t go to all systems of equation
++++++++++++++++++++++++++++++++++
Here we are given a graph where there’s basically a inequality and we are trying to find out: “Which point is a solution to the inequality?”
Answer + explanation:
Answer: O B. (0, 5)
It would be (0, 5)
Explanation:
Any point inside the shaded area of the inequality would be a solution to the system of equation
Note: The type of inequality that we are taking a look at is a dash line
What do I mean by that? That any point that is in the dash CANNOT be a solution
Therefore our answer is B
91. Jack can read 45 pages of his book in one and a
half hours. At that rate, how long will it take him to
read the entire 300-page book?
Answers
Answer:
10 hours
Step-by-step explanation:
45 pages per 1 hour and 30 minutes, or 60 min +30 min =90 min
90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages
90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300
? minutes = 90*300/45 = 600 minutes
to read 300-page book will take 600 minutes = 10 hours
Choose the composition of translations that maps the image ΔPQR onto ΔP′Q′R′.
Question 4 options:
(x,y) → (x + 6,y + 3)
(x,y) → (x – 6,y – 3)
(x,y) → (x + 6,y – 3)
(x,y) → (x – 6,y + 3)
Answers
Answer:
(x , y ) ---> (x + 6 , y - 3)
Step-by-step explanation:
(x , y ) ---> (x + 6 , y - 3)
P(-1 , 4) -----> P'(-1+6 , 4-3) = P'(5,1)
Comapre P and P' x-coordinate
-1 + a = 5
a = 5 +1 = 6
Q(-1, 2) ----->Q'(-1+6 , 2 -3)= Q'(5, -1)
R(3 , 1) ------> R'(3+6 , 1-3) = R'(9,-2)
Planes T and X are parallel. Plane T contains line a. Plane X contains line b. Planes T and X are parallel. Plane T contains line a and plane X contains line b. Which best explains the relationship between lines a and b? They are skew and will never intersect. They are parallel and will never intersect. They are perpendicular and will intersect. They will intersect at two points.
Answers
Answer:
The answer is "They are skew and will never intersect".
Step-by-step explanation:
Please find the graph file in the attachment.
In the given scenario, since the two lines are neither parallel nor intersect, these are skewed. Each line will be in a parallel plane, therefore prevents them from crossing each other. Parallel indicates traveling in the same direction, but not converging or diverging.
Answer:
A or ,They are skew and will never intersect.
Step-by-step explanation:
edge 2021
John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.
A
4x5y7z3
B
4x6y10z
C
8x5y7z3
D
16x6y10z2
Answers
D [tex]\bold{16x^{6}y^{10}z²}[/tex]
Answer:
John needs to rewrite the expression [tex](4x^{3}y^{5}z)²[/tex]. Identify which of the following is the simplified form of the expression.
[tex](4x^{3}y^{5}z)²[/tex]
remenber that square is for all
and power is multiplied
[tex]4²x^{3*2}y^{5*2}*z²[/tex]
[tex]16x^{6}y^{10}z²[/tex]
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^{n\cdot m }} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^{3\cdot 2}\cdot y^{5\cdot 2}\cdot z^2=16 \ x^6 \cdot y^{10} \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^{10} \cdot z^2 }[/tex]
A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.
Answers
Answer:
V = 267.9 in^3
Step-by-step explanation:
V = 4/3 * (pi) * r^3
V = 4/3 * 3.14 * 4^3
V = 4/3 * 3.14 * 64
V = 256/3 * 3.14
V = 803.84/3
1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg
Answers
Answer:
i) around 41.7 kg
ii) 72 books
Step-by-step explanation:
i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.
ii) use the same way as above.
