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4 years ago

Points A, B, C, and D lie on the circle. Solve for the value of X

Mathematics

2 answers:

kobusy [5.1K]4 years ago

7 0

Yes I believe it is also A

aliina [53]4 years ago

4 0

Answer:

A 65

Step-by-step explanation:

The angle formed by two chords is 1/2 the sum of intercepted arcs

x = 1/2 (51+79)

x = 1/2(130)

x =65

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In a school of 330 students, 85 of them are in the drama club, 200 of them are in a sports team and 60 students do drama and spo

liq [111]

Let's denote students in D = in the drama club , S = in a sports team 
P(D) = 85/330 
P(S) = 200/330 

P(D and S) = 60/300 

P(D or S) = P(D) + P(S) - P(D and S) = 85/330 + 200/330 - 60/330 = 15/22 

P(neither D nor S) = 1- 15/22 = 7/22

7 0

3 years ago

Type the correct answer in each box.

Vikki [24]

Answer:

Cos<42 sin<16 :)

Step-by-step explanation:

3 0

3 years ago

(a) Write an expression, in terms of n, for the nth term of this sequence. -1,3,7,11

ExtremeBDS [4]

The expression for nth term is:

a_n = -5+4n

Further explanation:

Given sequence is:

-1,3,7,11

We have to determine first if this is a arithmetic sequence or geometric sequence

The sequence is an arithemtic sequence if the common difference of cosecutive terms is same.

In this case,

$d = a_2 -a_1 = 3-(-1) = 3+1 = 4\\a_3 -a_2 = 7-3 = 4$

As the common difference is same the sequence is an arithmetic sequence

Standard form of arithmetic sequence is:

$a_n = a_1+(n-1)d$

Putting the values of a_1 and d

$a_n = -1 + (n-1)(4)\\a_n = -1+4n-4\\a_n = -5+4n\\$

The expression for nth term is:

a_n = -5+4n

Keywords: Arithmetic Sequence, nth term

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

Write a ratio, in simplest form, that compares the two quantities (show your work):

Evgen [1.6K]

One km is about 0.621371 so then you do 400/0.621371 which is 643.738 then you have your answer.400m:643.738km

8 0

3 years ago

Which of the following are solutions to the equation sinxcosx = - 1/4

Dafna1 [17]

The equation is given below as

$\sin x\cos x=-\frac{1}{4}$

Recall that

$\begin{gathered} \sin 2x=2\sin xcosx \\ \text{which means that } \\ \frac{\sin2x}{2}=\sin x\cos x \end{gathered}$

Therefore, equating the two-equation, we will have

$\frac{\sin 2x}{2}=-\frac{1}{4}$

cross multiply, we will have

$\begin{gathered} \sin 2x=-\frac{1}{4}\times2 \\ \sin 2x=-\frac{1}{2} \end{gathered}$

Therefore,

we will get the arc sign of both sides in radians to get

$\begin{gathered} 2x=\sin ^{-1}(-\frac{1}{2}) \\ x=\frac{1}{2}\sin ^{-1}(-\frac{1}{2}) \end{gathered}$

In radians, the final answer will be

$\begin{gathered} x=\frac{7\pi}{12}+n\pi \\ \text{and} \\ x=\frac{11\pi}{12}+n\pi \end{gathered}$

Therefore,

The finals answers are OPTION A and OPTION D

3 0

1 year ago