Answer:
Surface Area: 1008π OR 3166.73
Volume: 4320π OR 13,571.68
Step-by-step explanation:
Surface Area Equation:
2πrh+2πr^2
Work:
2π (12) (30) + 2π12^2
2π(360) + 2π(144)
720π + 288π
1008π OR 3166.73
Volume Equation:
πr^2h
Work:
π12^2 (30)
π144 (30)
4320π OR 13,571.68
I am going to make what is hopefully not an incorrect assumption and say that since the segmentXSZ is black and the other lines are blue, that XS is congruent to ZS. If that be the case we have a side in each triangle that is congruent to each other and an angle that is marked as congruent. Angles XSW and ZSY are vertical angles. By definition, vertical angles are congruent. In each triangle, then, we have an angle, a side and an angle which gives us the congruency postulate ASA.
The borders are shown in the picture attached.
As you can see, starting with border 1, we have 6 daises (white squares) surrounded by 10 tulips (colored squares). Through Jerry's expression we expected:
<span>8(b − 1) + 10 =
</span>8(1 − 1) + 10 =
0 + 10 =
10 tulips.
When considering border 2, we expect:
<span>8(b − 1) + 10 =
</span>8(2 − 1) + 10 =
8 + 10 =
<span>18 tulips.
Indeed, we have the 10 tulips from border 1 and 8 additional tulips, for a total of 18 tulips.
Then, consider border 3, we expect:
</span><span>8(b − 1) + 10 =
</span>8(3 − 1) + 10 =
16 + 10 =
26<span> tulips.
Again, this is correct: we have the 10 tulips used in border 1 plus other 16 tulips, for a total of 26.
Therefore, Jerry's expression is
correct.</span>
Answer:
<h3>285.15</h3>
Step-by-step explanation:
Given the expression;
19/258 = 21/x
We are to find the unknown value x;
Cross multiply;
19 * x = 258 * 21
19x = 5418
Divide both sides by 19;
19x/19 = 5418/19
x = 285.15
Hence the unknown value is 285.15
Answer:
c.right 3 units, down 1 unit
Step-by-step explanation: