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2 years ago

On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.

Mathematics

1 answer:

frosja888 [35]2 years ago

4 0

X=105°

Y=105°

Z=105°

let the angle below 75° which is the 4th Street be A

75°+A=180°[being adjacent angle]

A=105°

X=A[Verticall opposite angle]

Z=A[Corresponding angle]

Y=X[alternate angle]

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Question 8 of 10 What is sin 30º? 60 2 901 D A B. c.. () E. E )

levacccp [35]

Answer:

A. $\displaystyle \frac{1}{2}$

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

sin 30°

Step 2: Solve

Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.

Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.

Substituting it into sin, we have:

sin 30° = 1/2 = 0.5

∴ our answer is A.

3 0

2 years ago

A Nevada roulette wheel had 38 pockets, labeled as 0 00 1 2 3 ... 35 36. One bet is single number. If you bet $1 on a number (an

slavikrds [6]

Answer:

-0.0526

Step-by-step explanation:

Let X be the random variable denoting the net gain(in dollars) for a single trial(one bet).

Assuming that each number in the wheel is equally likely, probability of the outcome being a victory is $\frac{1}{38}$ and probability of failure is $\frac{37}{38}$ . For a win, X takes value 35 and for a loss X takes value -1. So the model is,

$P(X=35) = \frac{1}{38}$

$P(X=-1) = \frac{37}{38}$

$P(X=i) = 0 \;if\; i \neq 38, i\neq -1$

The mean for one bet is $E(X) = \sum xP(X=x) = 35\times\frac{1}{38} - 1\times\frac{37}{38} = -0.0526$

3 0

3 years ago

What is the value of X

ExtremeBDS [4]

$\dfrac{6}{9}=\dfrac{x+3}{3+9}\\
\dfrac{2}{3}=\dfrac{x+3}{12}\\
3(x+3)=24\\
x+3=8\\
x=5$

8 0

3 years ago

Consider the sequence 3, -9, 27, -81, .. Find the 14th term of the sequence.

bagirrra123 [75]

Answer:

let 'a' be the first term, 'd' be the common difference between all the terms of the sequence

Step-by-step explanation:

therefore, a = 3,

and, d = -9 -3

= -12

hence the 14th term would be,

=> a + 13d

=> 3 + 13( -12 )

=> 3 - 156

=> - 153

5 0

4 years ago

Read 2 more answers

26 + 58 rounded to the nearest ten

Tanya [424]

Answer:

Step-by-step explanation:

4 0

3 years ago

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