Radius of a circle: r = 2 ft
Central angle: α = 5 π /3 = 300°
Arc Length = 2 · 2 · π · 300/360 = 2 · 2 · 3.14 · 5/6 = 10.4666 ft ≈ 10.5 ft
Answer:
C ) 10.5 ft
Let
x,y, and z the long sides of the triangle
we know that
x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4
substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40
Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²
the answer is
26558.21 ft²
Answer:
This company used 2265 gallons of soap this year
Step-by-step explanation:
50% of 4530
Soap used this year = 4530 - 2265 = 2265
Answer:
6
Step-by-step explanation:
Typically these kinds of problems are solved using Venn Diagram.
Let’s solve it differently.
Here, we add the individual subject students and subtract the dual subject students and then add the triple subject students that would give us the count of all the students. If that’s more than number of students then there’s something wrong with the given data. If that’s exactly equal to number of students then all the students have taken some course(s) or the other. If that’s less than number of students then subtracting this from number of students would give us the count of students having not taken any course(s).
Thus, the count of students having taken some courses or the other is:
20+18+16–7–7–9+3 = 57–23
= 34
Subtracting it from 40 gives us 6, which is the count of students not taking any course(s).
Please mark brainliest if possible and have a nice day. :)
Answer:
x=36
Step-by-step explanation:
The angles in a triangle must add to 180 degrees.
Therefore,
x+65+79=180
Add 65 and 79
x+144=180
We want to solve for x. In order to do this, we have to get x by itself. 144 is being added to x (+144)The opposite of addition is subtraction, so subtract 144 from both sides(-144)The +144 and -144 will cancel out, and leave x by itself.
x+144-144=180-144
x=180-144
x=36
Let’s check our answer. Add all the angles together, and make sure they equal 180 degrees.
x+65+79
We know x is equal to 36, so we can substitute it in
36+65+79
180
The 3 angles add to 180, so we know that x=36
