The answer is 29, 981
Step-by-step explanation:
<em>First</em>) Since there are no parenthesis, you'd do 100 times 300 which equals 30,000
<em>Second</em>) Now youd go down the line since in PEMDAS, adding and subtracting are equal. 30,000-5 = 29,995
<em>Third</em>) 29,995+10= 30,005
<em>Fourth</em>) 30,005-11= 29,994
<em>Lastly</em>) 29,994-13= 29,981.
Answer:
z = 13 degrees
Step-by-step explanation:
1.) Those two angles add up to 90 degrees, so we can say that 5z - 6 + 2z + 5 = 90
2.) Simplify both sides to get 7z - 1 = 90.
3.) Isolate Variable by adding 1 on both sides to get 7z = 91.
4.) Divide by 7 on both sides to find that z = 13 degrees.
Answer:
volume= 24 cm
Step-by-step explanation:
Answer:
17.8 cm³
Step-by-step explanation:
The radius of the roll is half the diameter, so is 9 mm. The length of the roll of 50 dimes is 1.4·50 mm = 70 mm. With these dimensions, we can use the formula for the volume of a cylinder:
V = πr²h = π(9 mm)²(70 mm) = 5670π mm³ ≈ 17,812.8 mm³
Perhaps a more convenient unit of measure is cm³. Each cm³ is 1000 mm³, so the volume of a roll of dimes is approximately ...
V ≈ 17.8 cm³
Answer:
(D)9.5 Units
Step-by-step explanation:
We have two chords CD and AB intersecting at E.
Using the theorem of intersecting chords
AE X EB =CE X ED
AB=AE+EB
16=10+EB
EB=16-10=6
Therefore:
AE X EB =CE X ED
10 X 6 = 4 X ED
ED =60/4 =15
Therefore:
CD=CE+ED
=4+15
CD=19
Recall that CD is a diameter of the circle and;
Radius =Diameter/2
Therefore, radius of the circle =19/2 =9.5 Units