Ask question

Ask question

All categories

4 years ago

7

A boy moves 4 miles south. Then he turns 90 degrees to the left. He moves forward 6 miles. H turns 90 degrees to the left. He mo

ves forward 4 miles. How far is he now than from his starting point?

1 answer:

zaharov [31]4 years ago

8 0

Y1=-4

x1=6

y2=4

y1+y2=0

So he is just his x displacement from where he started, 6 miles.

You might be interested in

A model rocket is launched with an initial upward velocity of 138 ft/s. The rocket's height h (in feet) after 1 seconds is given

insens350 [35]

Answer:

t = 8.017 or 0.608 (nearest hundredth)

Step-by-step explanation:

$h = 138t-16t^2$

when h = 78:

$\implies 138t-16t^2=78$

$\implies 16t^2-138t+78=0$

Using quadratic formula:

$t=\dfrac{138 \pm\sqrt{(-138)^2-(4 \cdot 16 \cdot 78)} }{2 \cdot 16}$

$\implies t=\dfrac{138 \pm\sqrt{14052} }{32}$

$\implies t=8.017, t = 0.608$

8 0

2 years ago

Find the trig ratio. Reduce to<br> lowest terms.<br> 10<br> 24<br> sin A =

Luba_88 [7]

The value of sin A is equal to $\frac{5}{13}.$

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º. In this triangle from the trigonometric ratios or the Pythagoras Theorem ( $hypotenuse^2=(side_1)^2+(side_2)^2$ ), it is possible finding angles or sides.

<h3>Trigonometric Ratios</h3>

The main trigonometric ratios for a right triangle are presented below.

$sin\alpha =\frac{opposite \; side}{hypotenuse}$

$cos\alpha =sin\alpha =\frac{adjacent\; side}{hypotenuse}$

$tan\alpha =\frac{opposite \; side}{adjacent\; side}$

The question asks the sin A. First, you should find the hypotenuse from Pythagoras Theorem.

$hypotenuse^2=(10)^2+(24)^2\\ \\ hypotenuse^2=100+576\\\\ hypotenuse^2=676\\ \\ hypotenuse=26$

Now you can find sin A.

$sin\A=\frac{10}{26}=\frac{5}{13}$

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

3 0

3 years ago

The total rainfall in forks , washington, october was 8 3/8 in. in september ,60% less rainfall fell in October

iren2701 [21]

Rainfall in October in Forks, Washington = 8 3/8 inches
= 67/8 inches
Percentage of rainfall that has fallen less in September in Forks, Washington = 60%
Let us assume the amount of rainfall in September in Forks, Washington = x
Then
100x/60 = 67/8
10x/6 = 67/8
5x/3 = 67/8
5x * 8 = 67 * 3
40x = 201
x = 201/40
= 5 1/40 inches
So the amount of rainfall in September in Washinton is 5 1/40 inches.

6 0

3 years ago

Physiological response of organisms to their environment is called behaviour ecology

777dan777 [17]

Answer:

true? what are you asking?

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Arrange the summation expressions in increasing order of their values.

dolphi86 [110]

∑ 4 * 5^(i-1) = 4 + 20 + 100 + 500 = 624
∑ 3 * 4^(i-1) = 3 + 12 + 48 + 192 + 768 = 1,023
∑ 5* 6^(i-1) = 5 + 30 = 35
∑ 5^(i-1) = 1 + 5 + 25 + 125 = 156
Answer:
∑ (i=1, 2) 5 * 6^(i-1) < ∑ (i=1, 4) 5^(i-1) < ∑ (i=1, 4) 4 * 5^(i-1) <
< ∑ (i=1, 5) 3 * 4^(i-1)

5 0

3 years ago

Read 2 more answers