Answer: 25.13 m
Step-by-step explanation: pi x 2^2x 6= 25.13
3
This is an approximate number but it should be correct
:)
Answer:
∠Q≅∠F
Step-by-step explanation:
Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.
Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.
Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
Therefore:
DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q
Answer:
between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B
Step-by-step explanation:
One half of the dogs in each shelter points at the the upper 50% of the dog weight. This point is marked by the median value up to the maximum weight value.
The median value is the point marked inside the box on a boxplot and the maximum value is the upper end or the endpoint of the whisker.
For SHELTER A:
Median = 21
Maximum = 30
Hence, For shelter A, it is the interval between 21 and 30
For shelter B:
Median = 18
Maximum = 28
Hence, it is the interval between 18 and 28
a. Notice that
1/(1*2) = 1/2 = 1 - 1/2
1/(2*3) = 1/6 = 1/2 - 1/3
1/(3*4) = 1/12 = 1/3 - 1/4
and so on, which suggests the n-th term of the sum can be written as

Then the sum itself is telescoping:



b. The proof is trivial:

so the formula found in (a) is correct.
41/50 = 0.82
9/10 = 0.9
10/11 = 0.91
So 41/50 is closer to 9/10