All categories

2 years ago

Aadya and Ethan like playing with remote-control cars. There's a straight track at the

Mathematics

1 answer:

e-lub [12.9K]2 years ago

8 0

The distance between the two cars is now 320 yards.

<h3 /><h3><u>Distances</u></h3>

To determine what is the distance between the two cars now if they did not collide the following calculation must be performed:

500 - (500 - 405) - (500 - 415) = X
500 - 95 - 85 = X
500 - 180 = X
320 = X

Therefore, the distance between the two cars is now 320 yards.

Learn more about distances in brainly.com/question/989117

You might be interested in

Use the given information to find the exact value of the trigonometric function

eimsori [14]

$\begin{gathered} \csc \theta=-\frac{6}{5} \\ \tan \theta>0 \\ \cos \frac{\theta}{2}=\text{?} \end{gathered}$

Half Angle Formula

$\cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}}$ $\tan \theta>0\text{ and csc}\theta\text{ is negative in the third quadrant}$ $\begin{gathered} \csc \theta=-\frac{6}{5}=\frac{r}{y} \\ x^2+y^2=r^2 \\ x=\pm\sqrt[\square]{r^2-y^2} \\ x=\pm\sqrt[\square]{6^2-(-5)^2} \\ x=\pm\sqrt[\square]{36-25} \\ x=\pm\sqrt[\square]{11} \\ \text{x is negative since the angle is on the 3rd quadrant} \end{gathered}$ $\begin{gathered} \cos \theta=\frac{x}{r}=\frac{-\sqrt[\square]{11}}{6} \\ \cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}} \\ \cos \frac{\theta}{2}is\text{ also negative in the 3rd quadrant} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{1+\frac{-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{\frac{6-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}} \\ \\ \end{gathered}$

Answer:

$\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}$

Checking:

$\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{ (3rd quadrant)} \end{gathered}$

Also,

$\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}$

The answer is none of the choices

7 0

1 year ago

<img src="https://tex.z-dn.net/?f=2%20-%206%20%5Cdiv%206" id="TexFormula1" title="2 - 6 \div 6" alt="2 - 6 \div 6" align="absmid

Karolina [17]

2 - 6 ÷ 6 (Order of Operations - PEMDAS)

= 2 - 1

= 1

Answer is 1

7 0

3 years ago

What is the best interpretation of c(20) = 65 in terms of the problerm?

Levart [38]

Answer:

I think C would be 3.25

Step-by-step explanation:

Because if you divide 65/20+3.25 sorry if i'm wrong.

5 0

3 years ago

The area of a rectangle is 27ft squared, and the length of the rectangle is 3ft less than twice the width. Find the dimensions o

oksano4ka [1.4K]

Answer:

width =4.5ft

length=6ft

Step-by-step explanation:

w = x

L = 2x-3

area = L*w

27 = x(2x-3)

$27=2x^{2} -3x$

$2x^{2} -3x-27=0$

$2x^{2} +6x-9x-27=0$

2x(x+3)-9(x+3)=0

(2x-9)(x+3)=0

2x-9=0

2x=9

x=9/2

x=4.5

L=2x-3=2*4.5-3 =9-3=6

6 0

3 years ago

Am trying to find the value of r<br> 1/r + 2/1-r = 4/r^2

Mashcka [7]

<span>1/r + 2/1-r = 4/r^2

1-r+2r/r(1-r)=4/r^2
(1+r)/r(1-r)=4/r^2 cancle r both side

1+r/1-r=4/r

cross multiply
r+r^2=4-4r
r^2+4r+r-4=0
r^2+5r-4=0
r^2+4r+r-4=0
solve it for r factor it...

</span>

6 0

3 years ago