Ella is buying a $110 chair. She has a coupon for 15% off. How much does she pay for the chair if sales tax is $6

Anvisha [2.4K]

Das is similarity

the 2 triangles are similar because of math ( don't remember which theorem or whatever)

so since similar

we have to find the bottom length
use right triangle properties
a²+b²=c²
14²+5.5²=c²
196+30.25=c²
226.25=c²
√226.25=c

ten, we do similarity

the hyptonuse of smaller triangle to base of smaller triangle is √226.25:5.5
since the triangles are similar, that should be equal to the ratio of the hypotonuse of the largger triangle to the base, which is x:√226.25

so
x/√226.25=√226.25/5.5
times both sides by √226.25
x=226.25/5.5
x≈41.1363636

the height of screen is 6 less than total
41.13636-6=35.13636

height of screen is about 35ft

5 0

3 years ago

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

Triss [41]

Let's call this line y=mx+C, whereby 'm' will be its gradient and 'C' will be its constant.

If this line is parallel to the line you've just mentioned, it will have a gradient 2/3. We know this, because when we re-arrange the equation you've given us, we get...

$y-4=\frac { 2 }{ 3 } \left( x-3 \right) \\ \\ y-4=\frac { 2 }{ 3 } x-2\\ \\ y=\frac { 2 }{ 3 } x-2+4\\ \\ y=\frac { 2 }{ 3 } x+2$

So, at the moment, our parallel line looks like this...

y=(2/3)*x + C

However, you mentioned that this line passes through the point Q(1, -2). If this is the case, for the line (almost complete) above, when x=1, y=-2. With this information, we can figure out the constant of the line we want to find.

-2=(2/3)*(1) + C

Therefore:

C = - 2 - (2/3)

C = - 6/3 - 2/3

C = - 8/3

This means that the line you are looking for is:

y=(2/3)*x - (8/3)

Let's find out if this is truly the case with a handy graphing app... Well, it turns out that I'm correct.

3 0

2 years ago

Divide.round to the nearest tenth .16÷.03220

HACTEHA [7]

Answer:

5.0

Step-by-step explanation:

0.16÷0.03220=4.9689

=5.0

7 0

1 year ago

Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of

RUDIKE [14]

Answer:

Part a) $V=1,000\ ft^{3}$

Part b) $h=5\ ft$

Part c) $=718\ gal$

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

$V=LWH$

substitute the values

$V=(25)(8)(5)=1,000\ ft^{3}$

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$