6

Mathematics

1 answer:

qwelly [4]3 years ago

7 0

28% of 1500 is 420.

so add it to 1500 and you’ll get 1920

You might be interested in

A parachutist falls at a speed of about 12 miles per hour. Find this speed in feet per second

padilas [110]

So in 1 hour, the parachutist will fall 12 miles or
12 mi/1hour

convert
1 hour=60 mins
1 min=60 seconds
1 hour=60 times 60 seconds=360 seconds
12 miles per 360 seconds

convert miles to feet
5280 feet per mile
12 miles times 5280=63360 feet

63360/360
do the math and simplify
63360/360=6336/36=176

176 feet per second

6 0

3 years ago

A sequence of two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH

Burka [1]

Two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH : <u>rotation -90° and translation (0,2)</u>

<h3>Further explanation</h3>

There are several forms of transformation, including translation, dilation, rotation or reflection

There are 2 shapes of geometry:

Similar figures:

the same shape but different in size,

Congruent figures:

the same size and the same shape

Both polygons will appear congruent if, after being transformed, the two polygons will map exactly to each other

A sequence of two transformations e can do is :

1. rotation -90°

Let point H(4,1) from polygon GFJIH , we rotate -90°

$\left[\begin{array}{ccc}x'\\y'\end{array}\right]=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4-6\\1+1\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}-2\\2\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}8\\1\end{array}\right]$