Answer:
Step-by-step explanation:
Radius r = 12.5/2 = 6.25 cm
Height h = 7 cm
volume = πr²h = 3.14⋅6.25²⋅7= 858.6 cubic cm
Answer:
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
Step-by-step explanation:
Let G, Y and O represent green, yellow and orange marbles respectively.
Given;
the ratio of green marble to yellow marble is 2 : 5
G:Y = 2:5
G/Y = 2/5
the ratio of yellow arbles to orange marbles is 3 : 4
Y:O = 3:4
Y/O = 3/4
the ratio of green marbles to orange marbles G:O;
G/O = G/Y × Y/O
Substituting the values;
G/O = 2/5 × 3/4
G/O = 3/10
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
Answer:
D. 6.3
Step-by-step explanation:
Well you can make a triangle with the line PQ with it's height as 2 and base as 6.
Then you can use the Pythagorean Theorem to find the length of PQ.
a²+b²=c²
2²+6²=c²
4+36=c²
40=c²
c²=40
<em>Square root both sides</em>
c=
c≈6.3
Our answer is D. 6.3
Since only 30% of the teachers taught for one year, the remaining percentage of the teachers had taught for more than a year, or 70%.
70%=0.7
80(0.7)=56
56 teachers had taught for more than a year.
15 postcards, 10
envelopes, and a notepad cost------------------- 1.68 dolars
Postcards------------x
Envelopes------------y
Notepad--------------z
15x+10y+z=1.68
<span>Y=z/8 y=0.02+x</span>
<span>Z=8y x=y-0.02</span>
15(y-0.02)+10y+8y=1.68
15y-0.30+18y=1.68
<span>33y=1.98 y=0.06</span>
Z=8*0.06=0.48
X=0.06-0.02=0.04
Costs
Postcards------------0.04
dolars/ 4 cents
Envelopes------------0.06
dolars/ 6 cents
<span>Notepad--------------0.48
dolars/ 48 cents</span>
