Answer:
height=100feet
Step-by-step explanation:
perimeter of a rectangle=p=500 feet
p=2a+2b equation 1
a=height
b=base
we have: b/a=3/2
so a=(2*b)/3
in equation 1 we have:
500=2*((2*b)/3)+2*b
so we have
500=(4*b)/3 + 2*b
500=(4b+6b)/3
500=(10b)/3
500*3=10b
b=(500*3)/10
b=150 feet =base
so
a=(2*150)/3=100 feet = height
Volume = 1/3×π×182×6 = <span>2035.7520395262 millimeters<span>3</span></span>
Answer:
If you combine everything its <em>-4y+3x-9</em>
Step-by-step explanation:
Answer:
A = 73.33
B = 53.33
C = 53.33
Step-by-step explanation:
Mathematically, adding the 3 angles would equal 180
Thus;
A + B + C = 180 •••••(i)
Since B and C are congruent, that means they are equal ( we are looking at isosceles triangle)
B = C •••••••••(ii)
Lastly;
B = A -20 ••••••••(iii)
Make a substitution in equation 1;
A + A -20 + A -20 = 180
Since B = C ; C also is A-20
3A -40 = 180
3A = 220
A = 220/3 = 73.33
B = C = A -20 = 73.33 -20 = 53.33
The sum of the angles of a quadrilateral is 360 degrees. So P+Q+R is 206, 360 - 206 = 154 degrees, the measure of angle S.
The four triangles, AQB, BRC, CSD, and DPA are all isosceles. So angle QBA = angle BAQ, etc. We find QBA = (180-24)/2 or 78 degrees.
RBC = (180-114)/2 = 33 degrees.
180 - (78 + 33) is the measure of angle B: 69 degrees.
The student should be able to see how to calculate the missing information from this.
