All categories

3 years ago

A triangle is cut from a rectangle. Find the area of the shaded region.

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

4 0

The area of rectangle:

11 ft · 6 ft = 66 ft²

The area of triangle:

6 ft · 4 ft/2 = 6 ft · 2 ft = 12 ft²

The area of the shaded region:

66 ft² - 12 ft² = 54 ft²

You might be interested in

What’s an equation for Five times a number

aalyn [17]

Answer: 5 x ?

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the equation of the graphed line.

belka [17]

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y = \dfrac{5}{2}x + 5\bigg) \ is \ correct }}}$

<h3>Step-by-step explanation:</h3>

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

$\large\boxed{\orange{\bf y = mx + c} }$

We know that slope is $\tan\theta$ . So here slope will be ,

$\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2}$

Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).

$\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}$

<h3>Hence option [ d ] is correct . </h3>

4 0

3 years ago

There are 257 people at a dance performance. Orchestra seats cost $12 and balcony seats cost $8. The total receipts were $2,716.

solniwko [45]

x = # of balcony seats

y = # of orchestra seats

We have to create a system of equations to solve this problem

x + y = 256

$8x + $12y = $2,716

We will solve this system of equations by elimination.

Multiply the first equation by -8

-8x - 8y = -2048

8x + 12y = 2716

Let's add the equations together

0 + 4y = 668

Simplify the left side

4y = 668

Divide both sides by 4

y = 167

We can subtract 167 from 257 to get the number of balcony seats.

257 - 167 = 90 balcony seats

There are 167 orchestra seats and 90 balcony seats

5 0

3 years ago

A square garden has an area of 12.25 square meters what is the perimeter of the garden?

serg [7]

Area of square= s^2
12.25=s^2
take the sqrt(12.25) = 3.5
Perimeter of square = 4s
P=4(3.5)
P= 14 m

3 0

3 years ago

The expanded form of 11,760,825

nikitadnepr [17]

The answer is : 11,000,000 + 760,000 + 825

I hope that's help:)

5 0

3 years ago

Read 2 more answers