Answer:
(a) 4
(b) 2√3
(c) 60°
(d) 120°
Step-by-step explanation:
(a) The relationship between tangents and secants is ...
CB^2 = CD·CA
Filling in the given values, we find ...
CB^2 = 2·(2+6) = 16
CB = √16 = 4
The length of BC is 4 units.
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(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.
CA^2 = CB^2 +AB^2
8^2 = 16 +AB^2
AB = √48 = 4√3
The radius is half the length of AB, so the radius is 2√3.
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(c) The measure of angle C can be determined from the cosine relation:
cos(C) = CB/CA = 4/8 = 1/2
C = arccos(1/2) = 60°
The measure of angle C is 60°.
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(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.
The measure of arc AD is 120°.
you have to start at -2 on the y axis and go up 4 and across 7 and keep going until you're off the graph
The answer would be 20 days all you have to do is multiply 10 by 2
Answer:
33 % is the answer.
Step-by-step explanation:
The value provided is 10 and possible out comes of getting a result is 3 as there are 3 grades namely (A,B and C) are mentioned. When converted to 100s, 100/33 gives 33.33% as the answer, when rounding off gives 33.
Answer:
1830
Step-by-step explanation:
Sum of smallest 30 positive even numbers is given by
2 + 4 + 6 + 8 + ......... up to 30 terms
= 2 ( 1 + 2 + 3 + 4 + ....... + 30)
= 
Again the sum of largest 30 odd negative numbers is given by
- 1 - 3 - 5 - 7 - ...... up to 30 terms.
= - (1 + 3 + 5 + 7 + ...... up to 30 terms)
{This is an A.P. series having first term 1, common difference 2 and the number of terms 30}
= ![-\frac{30}{2} [2 \times 1 + (30-1) \times 2]](https://tex.z-dn.net/?f=-%5Cfrac%7B30%7D%7B2%7D%20%5B2%20%5Ctimes%201%20%2B%20%2830-1%29%20%5Ctimes%202%5D)
= - 900
Now, Winnie has the sum 930 and Grogg has the sum - 900.
So, Winnie's sum is (930 + 900) = 1830 more than Grogg's sum. (Answer)
