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Vlada [557]
3 years ago
12

WILL MAKE YOU BRAINLIEST!!!!!

Mathematics
2 answers:
jonny [76]3 years ago
7 0
The answer is y/x=1
The image shown is a Unit circle
And if theta is pi/4 than the (x,y) coordinates of that point will both be sqrt2/2
If you divide a number by itself it equals 1
Tamiku [17]3 years ago
3 0

Answer: The correct option is (D) \dfrac{y}{x}=1.

Step-by-step explanation:  We are given to select the correct option that is true of the values of x and y in the diagram.

We can see from the figure that

the polar co-ordinates of the point (x, Y) are given by

r=1,~~~\theta=\dfrac{\pi}{4}.

The relation between the Cartesian and polar co-ordinates are as follows :

x^2+y^2=r^2~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\\tan^{-1}\dfrac{y}{x}=\theta~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Substituting the values of polar co-ordinates of the given point i the above equations, we get

x^2+y^2=1^2\\\\\Rightarrow x^2+y^2=1,

and

\tan^{-1}\dfrac{y}{x}=\dfrac{\pi}{4}\\\\\\\Rightarrow \dfrac{y}{x}=\tan\dfrac{\pi}{4}\\\\\\\Rightarrow \dfrac{y}{x}=1.

So, we get two equations :

x^2+y^2=1,~~~\dfrac{y}{x}=1.

Since first equation is not in the given options, so the correct one is

(D) \dfrac{y}{x}=1.

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Two numbers, a and b, are stored in one byte floating point notation using the least significant (rightmost) 3 bits for the expo
ehidna [41]

a=00110111 = 00110_2 \times 2^{111_2} = 6 \times 2^{-1} = 3


b=11011000 =  11011_2 \times 2^{000_2} = -(0100_2 + 1) =-(4+1)=-5


a+b=-2 = -1 \times 2^{001} = -2 \times 2^{0} = -4 \times 2^{-1} etc.


a+b=-2 = 11111001 = 11110000 = 11100111 = ...


Hard to select the correct answers without seeing the choices. Let's check a couple,


11111001 = -(00000+1) \times 2^{1} = -2 \quad\checkmark


11110000 = -(00001 + 1) \times 2^{0} = -2 \quad\checkmark


11100111 = -(00011 + 1) \times 2^{-1} = -4/2= -2 \quad\checkmark


4 0
3 years ago
The volume of the figure shown is ____ M3
Vesna [10]

Answer: 315m³

Step-by-step explanation: formulae = W x L x H

7m x 3m x 15m

= 315m³//

4 0
3 years ago
Todd and his brother robert are going to use 512 square feet of their backyard for skateboard ramps. the shape of the backyard i
Ahat [919]

The dimensions are 16  ft by 32 ft

The quadratic equation is w^2-256=0

We have given that,

Todd and his brother Robert are going to use 512 square feet of their backyard for skateboard ramps. the shape of the backyard is rectangular, with the length twice as long as the width.

<h3>What is the area of the rectangle?</h3>

The area of a rectangle is equal to

A=WL

Where L is the long side of the rectangle

W is the width side of the rectangle

in this problem we have

A=512ft^2

S0,512=LW -----> equation A

L=2W ------> equation B

substitute equation B in equation A

512=2W(W)

512=2w^2

2w^2-512=0

W^2=512/2

W=\sqrt(256)

W=16

Find the value of L

L=2W

L=2(16)

L=32ft

To learn more about rectangle visit:

brainly.com/question/25292087

#SPJ1

7 0
2 years ago
Norma earns $22 per hour. She donates 5% of her wages to her favorite charity. If she wants to have at least $748 left after her
enyata [817]
I did the math on a calculator and i got C 36.
7 0
3 years ago
Read 2 more answers
HELP Find the y-intercept of the line on the graph.
DedPeter [7]
The y- intercept is -3
The the slope is -5.

Hope this helps
3 0
3 years ago
Read 2 more answers
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