25 points

Mathematics

1 answer:

jonny [76]4 years ago

5 0

I'm not 100% sure, but the answer might be 26.69(rounded up)... would be 27in. - I hope this helped! :D

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Whoever answers my recent question I will give away 50 points

Savatey [412]

What question is it ??

7 0

3 years ago

Eight people are entered in a race. If there are no ties, in how many ways can the first three places come out? a.336 b.368 c.67

Luden [163]

The first thing to do is to calculate how many ways you can choose 3 people from a set of eight. In order to do this, we need to use the attached formula.
(The letter 'n' stands for the entire set and 'r' stands for the number of objects we wish to choose.)
So we wish to choose 3 people ('r') form a set of 8 ('n')
combinations = n! / r! * (n - r)!
combinations = 8 ! / (3! * 5!)
combinations = 8 * 7 * 6 * 5! / (3!) * (5!)
combinations = 8 * 7 * 6 / 3 * 2
combinations = 56

Now of those 56 combinations, the 3 people can finish in 6 different ways.
For example, persons A, B and C could finish
ABC or ACB or BAC or BCA or CAB or CBA

So to get the TOTAL combinations we multiply 56 * 6 which equals
336 so the answer is (a)

8 0

3 years ago

Consider the diagram shown and answer the following questions; the radius of this circle is 6 inches:

Vera_Pavlovna [14]

Refer to the figure shown below.

Part 1
Triangles VPU and SPU are congruent because of SSA. Therefore,
∠TUV = ∠TUS = 39°.
Because angles in quadrilateral PVUS sum to 360°, therefore
The Central ∠VPS = 360 -(90+39+39+90) = 102°.
The measure of arc VTS = ∠VPS = 102°.

Part 2
We know that line segments PO = PS = PT = 6 in (radius).
Because TO is a diameter, ∠TMO = 90°.
From the indicated right triangles ΔUPV, ΔUPS, ΔMOT, we can calculate the lengths of PU, US, UV, MT and MO.

Part 3
Angles in a triangle sum to 90°. Because ∠MOP = 49°, therefore
∠MTO = 90 - 49 = 41°.
∠VPU = ∠SPU = 90 - 39 = 51°.