Answer:
Step-by-step explanation:
m∠OPQ = 23°
Answer:
Step-by-step explanation:
6) Convert mixed fraction to improper fraction and then plugin the values in the formula.
b) 10 cubic yard is less than 11 2/3 cubic yard. So, it will fit in the wood shed.
7) Right side rectangular prism:
l = 16 in
w = 5 in
h = 20 - 14 = 6 in
Volume 1 = 16 * 5 * 6 = 480 cubic inches
Left side rectangular prism:
l = 9 in
w = 5 in
h =14 in
Volume 2 = 9 * 5 * 14 = 630 cubic in
Volume of composite solid = 480 + 630 = 1110 cubic inches
Answer:
a) 11%
b) 56%
Step-by-step explanation:
a) A= πr^2 6^2π= 36π A= 18^2π = 324π
36π/324π = .111111111111111111111111 or 11%
remember to cancel out the pi symbols when you are showing your work
(put a line across the pi symbols when dividing)
b) A= πr^2 18^2 π = 324π
A= πr^2 12^2π = 144π
324 – 144 = 180
180π/324π = .5555555555555555555555556 or 56%
remember to cancel out the pi symbols when you are showing your work
(put a line across the pi symbols when dividing)
Answer:
The answers are:
A. Exactly one circle can be inscribed in a given triangle.
C. Many triangular shapes can be circumscribed about a given circle.
Step-by-step explanation:
I just took the quiz as well. Good luck!
Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of the 30% solution that should be mixed.
Let y represent the number of gallons of the 70% solution that should be mixed.
The total number of gallons of the mixture to be made is 40. This means that
x + y = 40
The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that
0.3x + 0.7y = 0.6 × 40
0.3x + 0.7y = 24- - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
0.3(40 - y) + 0.7y = 24
12 - 0.3y + 0.7y = 24
- 0.3y + 0.7y = 24 - 12
0.4y = 12
y = 12/0.4
y = 30
x = 40 - y = 40 - 30
x = 10
