The rise and span for a roof are shown. The pitch of a roof is the ratio of the rise to the half-span. If the rise is 8 feet and the span is 30 feet, what is the pitch in simplest form?
Answers
The pitch or slope of a roof is defined as the ration of rise and half of the span. In equation we can write:
Half-Span equals the run. So we can define the Pitch as:
Rise = 8 feet
Run = Half of span = 15 feet
Using the values in the above formula, we get:
Therefore, the pitch (or slope) of the roof in simplest form is 8/15
Pitch is normally defined as the vertical rise of a roof for ever 12 feet increase in its horizontal run. The above fraction shows the vertical rise is 8/15 for each 1 feet increase in the horizontal run. So if we simply multiply the the above fraction by 12, we will get the pitch in standard units.
So,
Pitch = 8/15 x 12 = 6.4
Therefore, the pitch of the roof will be 6.4
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What value of k makes the statement true? –(k + 12) = 6 + (–12)A.–18B.–6C.6D.18
y = - x + 3
y = - x + 6
y = 2x + 3
Answers
The equation of line is:
Further explanation:
Given
y = 2x + 2
Comparing it with standard form:
y=mx+b
Let m1 be the slope of given line
We know that product of slopes of two perpendicular lines is -1
Let m2 be the slope of second line
Putting the value of m2 in standard form
To find the value of b, putting (6,3) in equation
Putting the values of b and m, we get
The equation of line is:
Keywords: Slope, Point-slope form
Learn more about slope at:
#learnwithBrainly
Answer:
its actually c
Step-by-step explanation:
Answers
if f(x+5)=x^2 +kx+30, k= ?
find the smallest zero of f(x+5). x=?
Answers
Hope this helps :)
Photo attached.
Answer:
k=13
x= -10
Step-by-step explanation:
f(x)=x²+3x-10
f(x+5)=
=(x+5)(x+5)+3(x+5)-10
=x²+10x+25+3x+15-10
=x²+13x+30
0=x²+13x+30
0=(x+3)(x+10)
x= -3 or -10
-10< -3
smallest zero is -10
y=2x+8
substitution method
Answers
Answer:
No Solution.
Step-by-step explanation:
2(x-1)-y=-8
y=2x+8
----------------
2x-2-(2x+8)=-8
2x-2-2x-8=-8
2x-2x-2-8=-8
0-2-8=-8
-2-8=-8
-10=-8
no solution
Answers
Hope this helps
Answer: I'm not exactly sure but, I think the answer is 18.
Step-by-step explanation:
City:
-Athens
-Berlin
-London
-Paris
-Rome
Answers
Answer: They can visit all 5 cities in 120 different ways
Step-by-step explanation: If the family has the option of visiting five different cities in Europe, and they intend to visit all of them, then they can visit any one first and go on to another one, and so on till they exhaust all their options.
However, there is the option of which to visit first, which to visit second, and so on. This means if they decide for example, to start with Athens then they may decide to visit any of the four other cities afterwards in more than one way, and this is because all the other four cities equally have the option of being number two. So with Athens at number one, we have the other four equally likely to be number two, and so on.
To make this less cumbersome, we shall apply the formula for permutations. Rather than counting numbers of arrangements like described above, Keisha's family can use the permutation formula which is;
Pₙ = n!
Where n is the number of available options,
P₅ = 5!
P₅ = 5 x 4 x 3 x 2 x 1
P₅ = 120
Hence, the family can arrange their trip to Europe in 120 different orders