D=8.7 ⇒ R=4.35
V=4/3*π*R³
V=4/3*π*4.35³= 1.33*3.14*82.3128=343,75 <span>yards</span>³
Answer:
Step-by-step explanation:
It is useful to label the diagram so we can talk about the parts. (See the attachment.)
AB and CD are parallel lines, crossed by transversal AE. So, angles FAE and CDE are congruent. These are acute angles in a right triangle, so the triangles AFD and DEC are similar by the AA postulate.
This similarity means that corresponding sides are proportional:
CE/CD = DF/DA
CE = CD(DF/DA) = 16(6/10) = h
h = 9.6
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The second problem is identical to the first, but with different numbers.
CE = CD(DF/DA) = 14(8/10) = h
h = 11.2
Answer:
6 2/3.. i think
Step-by-step explanation:
hopefully u understand my messy handwriting
Answer:

Step-by-step explanation:

hope this helps you.
Answer:
The top 30% is defined with a score greater than or equal to 431.44 so she will not be admitted (D)
Step-by-step explanation:
Mean m = 400
Standard deviation S = 60
Firstly, we have to determine the cut off mark,
Since Only students who score in the top 30% are accepted, the cut off mark can be determined from 70% of the mark.
P(cut off mark = X) = Z[( X -m)/S) <x]
=¢(X-400/60) = 0.7
From Normal distribution table,
X-400/60 = 0.524
X = 431.44
Therefore, the cut off mark is 431.44
Since Amy scores 425 on the test.
Therefore, The top 30% is defined with a score greater than or equal to 431.44 so she will not be admitted (D)