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Nadusha1986 [10]

3 years ago

14

Kyle lives 3/4 mile from his friend Aiden. Kyle is to walk 2/3 of the distance to meet Aiden. What part of a mile must Kyle walk

to meet Aiden?

1 answer:

bearhunter [10]3 years ago

6 0

Answer:

1/2 mile

Step-by-step explanation:

$\frac{2}{3} (\frac{3}{4} )=\frac{6}{12} =\frac{1}{2}$

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Write a sequence of transformation that maps quadrilateral ABCD onto quadrilateral A. B. C. D IN THE PICTURE

Mice21 [21]

Answer:

The sequence of transformation is reflected across the y-axis and translated 2 units down

Step-by-step explanation:

Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) translate h units to the right

∴ Its image is (x + h , y)

- If point (x , y) translate h units to the left

∴ Its image is (x - h , y)

- If point (x , y) translate k units up

∴ Its image is (x , y + k)

- If point (x , y) translate k units down

∴ Its image is (x , y - k)

* Now lets solve the problem

∵ The vertices of figure ABCD are:

A (-1 , 3) , B (1 , 0) , C (2 , 3) , D (1 , 4)

∵ The vertices of figure A"B"C"D" are:

A" (1 , 1) , B" (-1 , -2) , C" (-2 , 1) , D" (-1 , 2)

* Lets compare between ABCD and A"B"C"D"

∵ All x-coordinates has opposite signs

-1 ⇒ 1 , 1 ⇒ -1 , 2 ⇒ -2 , 1 ⇒ -1

∴ The ABCD is reflected across the y-axis

∵ All y-coordinates subtracted by 2

3 ⇒ 1 , 0 ⇒ -2 , 3 ⇒ 1 , 4 ⇒ 2

∴ The ABCD is translated 2 units down

* The sequence of transformation is reflected across the y-axis

and translated 2 units down

5 0

3 years ago

In triangle abc, m of acb = 90, cd is perpendicular to ab , m of acd is 60. and bd is 5 cm. find ad

weeeeeb [17]

Let us draw a picture to make the things more clear.

Attached is the image.

We have been given that

$\angle acd = 60 ^{\circ}$

Therefore, we have

$\angle dcb =90- 60= 30 ^{\circ}$

Now, in triangle bcd, we have

$\tan30 = \frac{5}{cd}\\
\\
\frac{1}{\sqrt 3}=\frac{5}{cd}\\
\\
cd=5\sqrt 3$

Now, in triangle acb, we have

$tan 60 = \frac{ad}{5\sqrt3} \\
\\
\sqrt 3= \frac{ad}{5\sqrt3}\\
\\
ad= 5\sqrt3 \times \sqrt 3\\
\\
ad= 5\times 3\\
\\
ad=15$

Thus, ad is 15 cm.

4 0

3 years ago

What's the hight of a million pennies

TiliK225 [7]

The thickness of a brand new US penny that hasn't been
worn down is 1.52 millimeters.

If you have a million pennies, there are many ways to arrange them.
You can pile them all in one pile, or shovel them into many piles, or
stack them up in any number of stacks up to a half-million stacks
with two pennies in each stack, or try somehow to stack them all up
in one stack that's a million thicknesses high.

Any stack with 'n' pennies in the stack is 1.52n millimeters high.

If you somehow succeed in stacking all million of them in one stack,
then the height of that stack would be . . .

   (1,000,000) x (1.52 mm) = 1,520,000 millimeters
   152,000 centimeters
   1,520 meters
   1.52 kilometers

(about 59,842.5 inches
4,986.9 feet
   1,662.3 yards
   7.56 furlongs
0.944 mile
      all rounded)

3 0

3 years ago

We can measure temperature in two different common units degrees Celsius in degrees Fahrenheit the variable X represents the tem

labwork [276]

Answer: 50° Fahrenheit

Step-by-step explanation:

Here, the equation that shows the temperature of x degree Celsius in Fahrenheit is,

$F(x) = 32^{\circ} + 1.8\times x$

Where x is a variable.

Thus, For the temperature of 10° Celsius,

x = 10° Celsius

The temperature in Fahrenheit is,

$F(10^{\circ}C) = 32^{\circ} + 1.8\times 10$

$= 32^{\circ} + 18^{\circ}$

$=50^{\circ}\text{ Fahrenheit}$

Thus, the increasing temperature by 10° C is equivalent to increasing temperature by 50° F.

5 0

3 years ago

How to solve D - 8/5 = -4

melomori [17]

Answer:

A= 5/7b +8

Step-by-step explanation:

The basic idea is that you can do anything you want (except divide by

zero) to either side of the equation, so long as you do the same thing

to the other side, too.

3 0

3 years ago