Answer:
Step-by-step explanation:
B=3x-2
C=12x+2
D=B=3x-2 (Vertically opposite angles)
A=?
Now; we know, A+B+C+D=360 deg.
=>A=360-(B+C+D)
=360-(3x-2+12x+2+3x-2)
=360-(18x-2) ----[1]
B+C=180 deg. (linear pair)
=> 3x-2+12x+2=180
=> 15x=180
=> x=180/15
=12 ---[2]
subsitute [2] in [1];
=> A= 360-(18x-2)
= 360-(18*12-2)
= 360-(116-2)
= 360-214
= 146 deg.
So, the correct answer is (D).
Hope the answer is useful.
Keep dividing by 3 to get the rest of the answers.
Answer:
41/45
Step by Step Explanation:
Add: 8/
10
+ 1/
9
= 8 · 9/
10 · 9
+ 1 · 10/
9 · 10
= 72/
90
+ 10/
90
= 72 + 10/
90
= 82/
90
= 2 · 41/
2 · 45
= 41/
45
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/
45
.
In other words - eight tenths plus one ninth = forty-one forty-fifths.
Step-by-step explanation:
radius of sphere, rs
radius of cylinder, rc
height of cylinder, h
given: h = rs = rc =r..eq1
volume of cylinder, vc = 27pi ft...eq2
volume of cylinder, vc = pi × rc^2 × h...eq3
volume of sphere, vs = 4/3(pi×rs^3)...eq4
subst for h & rs from eqn 1 in eqn 3...
vc = pi x r^2 x r= pi x r^3...eqn 5
subst for vc from eqn 2 in eqn 5...
=> 27 pi ft = pi x r^3
=> 27 = r^3
=> r = 3ft...eqn 6
subst for rs from eqn 1 in eqn 4
vs = 4/3 (pi x r^3)...eqn7
subst for pi x r^3 from eqn 5 in eqn 7
vs = 4/3 vc = 4/3 (27pi ft) = 36 pi ft
Answer:
30 in^2
Step-by-step explanation:
The formula for finding the area of a trapezoid is A=a+b/2 x h
In this case, a=5, b=10, and h=4
When you input those values into the formula and solve for A, you get A=30
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