All categories

4 years ago

Find the area of the shaded region.

Mathematics

1 answer:

RoseWind [281]4 years ago

6 0

Answer: 51 in²

Step-by-step explanation: Using the given diagram, we can find the area of the shaded region by taking the area of the larger rectangle minus the area of the area of the small rectangle.

To find the area of the large rectangle, we start with the formula for the area of a rectangle which is shown below.

Area = length · width

Since the length of the large rectangle is 15 in and the width is 5 in, we can plug this information into the formula to get 15 in · 5 in or 75 in.

So the area of the larger rectangle is 75 in.

To find the area of the small rectangle, we also use length · width which is simply 8 in · 3 in or 24 in. So the area of the small rectangle is 24 in.

Finally, remember that the area of the shaded region is the area of the larger rectangle minus the area of the smaller rectangle which in this case will be 75 - 24 or 51

So the area of the shaded region is 51 in².

You might be interested in

HELPPP PLEASE .☆........

tiny-mole [99]

Answer:

I think its 1/3/ and 4. But I dont know tho. just make sure with other.

Step-by-step explanation:

7 0

3 years ago

What is the equation of the line that passes through the point of intersection of the lines y = 2x − 5 and y = −x + 1, and is al

Arisa [49]

Y=1/2x-2

To find the point where the two lines intersect they are set equal to each other so that x can be found:
2x-5=-x+1
2x+x=1+5
3x=6
x=2

If x is known, x can be plugged into one of the two equations to find y.
y=-x+1=-2+1=-1

This means the point where they intersect is (2,-1).
We also know that the slope has to be 1/2 because the slope has to match the slope of the line it is parallel to.

Putting this into point slope form, we get:
(y-(-1))=1/2(x-2)

Which can be simplified into slope intercept form:
y+1=1/2x-1
y=1/2x-1-1
y=1/2x-2

5 0

3 years ago

Write an equation in slope-intercept form for the line that is parallel to y = 4x - 5 and contains the point (6, "-10).

Jobisdone [24]

Answer:

The desired equation is y = 4x - 34

Step-by-step explanation:

Start with the general slope-intercept form y = mx + b.

The new line is parallel to y = 4x - 5, and so the slope of the new line is the same as that of the old one: 4. Then we have:

y = 4x + b

Find b. Do this by substituting 6 for x and -10 for y:

-10 = 4(6) + b. Then -10 - 24 = b, and b = -34.

The desired equation is y = 4x - 34

7 0

2 years ago

HELP PLEASE (and explain if you can what is 5cd when c = 3 and d = 4

rjkz [21]

what is 5cd when c = 3 and d = 4

put the value c=3 and d=4 then,

5cd= 5 × 3 × 4

 = 60 

thus , 60 is the required answer..........

4 0

3 years ago

Below you will find the question is broken down into two parts. The first is asking you to solve equations and show your work. T

Schach [20]

Step-by-step explanation:

Equation (1) is :

x+2=5

Subtract 2 from both sides,

x+2-2=5-2

x=3

Equation (2) is :

2n+5=n

Taking like terms together,

2n-n=-5

n=-5

Equation (3) is :

5(x+2)-7=3x+5

⇒5x+10-7=3x+5

taking like terms together,

5x-3x=5-10+7

⇒2x=2

x=1

Hence, x =3, n = -5 and x = 1 is the required answer.

8 0

3 years ago