An architect is planning a triangular pool with a perimeter of 99 ft.Two of the sides measure 20 and 42, respectively, what is the length of the missing side(x)?Solve for x
Answers
Given:
Perimeter of the triangle = 99 ft
Length of two sides are 20 ft and 42 ft.
To find:
The length of missing side.
Solution:
Let the missing side be x.
Perimeter of a triangle is the sum of all sides of that triangle.
Subtract 62 from both sides.
Therefore, the missing side of the triangle is 37 ft.
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Answers
The expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
What is an expression?
It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The relationship between F and C is:
F = (9/5)C + 32
To convert temperature from degrees Celsius to degrees Fahrenheit for c:
Make the subject as C:
(9/5)C = F - 32
The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
9C = 5(F - 32)
C = 5(F - 32)/9
Thus, the expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
Learn more about the expression here:
#SPJ2
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Exactly the way you do it with numbers:
-- List all the factors of the first one.
-- List all the factors of the second one.
-- List all the factors of the third one.
-- Make a short list, consisting of the factors that appear
on all three lists. Those are the 'common' factors.
-- The greatest item on the short list is the greatest common factor.
14m², 27a³, and 45a² don't have any common factor except ' 1 '.
Since ' 1 ' is their only common factor, it's also their greatest one.
a. –0.53
b. –0.21
c. 0.21
d. 0.53
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The answer is: d. 0.53
Answers
Answer:
170.
Step-by-step explanation:
We have that A = W*L where A= Area, W= width, L=length and that W = 13+L. So,
A = (13+L)*L
1764 = 13L + L^2
L^2 + 13L - 1764 = 0.
We use the general formula in the image where a=1, b=13 and c= -1764.
, this result will be negative and the problem is about length so it doesn't apply for this problem. We use L1= 36.
Then, L=36, W = 13 + 36 = 49. Therefore, the perimeter is 2L+2W = 72+98=170.
Here in France we call length the greater side of a rectangle.
So:
Let a the greater side
b the shortest
a=b+13
a*b=1764
==>b*(b+13)=1764
==>b²+13b-1764=0
==>b=(-13-85)/2 to exclude
or (b=(-13+85)/2=36 and a=36+13=49)
P=2(a+b)=2(36+49)=170 (m)
Proof:
49-36=13
36*49=1764
Answers
The equations you need to solve are:
x + y = 30
x - y = 2 ==> (redefine in terms of y) y = x - 2
substitute into first equation
x + x - 2 = 30
2x = 30 + 2
x = 32/2 = 16
16 + y = 30
30 - 16 = y = 14
x = 16
y = 14
And that's how that is done.
The correct answer is:
The numbers are 14 and 16.
Explanation:
Let x and y represent the numbers. Since the sum of the numbers is 30, this gives us the equation
x+y = 30.
Since the difference of the numbers is 2, this gives us the equation
x-y = 2.
This gives us the system
To solve this, we will eliminate one variable. Since the coefficients are all the same, but the y-variables have different signs, we will eliminate them by adding the equations together:
Divide both sides by 2:
2x/2 = 32/2
x = 16.
Substitute this back into our first equation:
16+y=30
Subtract 16 from each side:
16+y-16=30-16
y=14