I will mark Brainliest! 6th grade math work
2 answers:
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From the diagram above,
XZ = 10 in and OX = 10 in
we are to find length of OY
XZ is a chord and line OY divides the chord into equal length
Hence, ZY=YX= 5 in
Now we solve the traingle OXY
To find OY we solve using pythagoras theorem
applying values from the triangle above
Therefore,
Length of OY =
Answer:
6*8=48 groups with elements of order 7
Step-by-step explanation:
For this case the first step is discompose the number 168 in factors like this:
And for this case we can use the Sylow theorems, given by:
Let G a group of order where p is a prime number, with
and p not divide m then:
1)
2) All sylow p subgroups are conjugate in G
3) Any p subgroup of G is contained in a Sylow p subgroup
4) n(G) =1 mod p
Using these theorems we can see that 7 = 1 (mod7)
By the theorem we can't have on one Sylow 7 subgroup so then we need to have 8 of them.
Every each 2 subgroups intersect in a subgroup with a order that divides 7. And analyzing the intersection we can see that we can have 6 of these subgroups.
So then based on the information we can have 6*8=48 groups with elements of order 7 in G of size 168
Answer:
The top of the ladder is 6.3 feet high from the ground.
Step-by-step explanation:
The given question can be expressed by the three sides of a right angled triangle. Let the height of the top of the ladder from the ground be represented by h.
Thus, applying the Pythagoras theorem to determine h, we have;
=
+
=
+
121 = + 81
= 121 - 81
= 40
h =
= 6.325
h = 6.325 feet
The top of the ladder is 6.3 feet high from the ground.