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3 years ago

13

PLEASE HELP a right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded re

gion.

1 answer:

UNO [17]3 years ago

3 0

Answer:

56m²

Step-by-step explanation:

First, find the area of the entire rectangle:

10 × 8 = 80

Then, find the area of the triangle:

1/2(6)(8) = 24

Finally, subtract the two areas to find the shaded area:

80 - 24 = 56

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If a b and c are three different numbers which of the following equations has exactly one solution?

Mrrafil [7]

Option B is correct.

Step-by-step explanation:

We need to identify which of the following equations has exactly one solution.

We will solve each equation to find the answer

A. $ax+b=ax+b$

Solving and finding value of x:

$ax+b=ax+b\\ax-ax=b-b\\0=0$

This equation has infinite number of solutions because both sides are equal to 0

B. $ax=bx+c$

Solving and finding value of x:

$ax=bx+c\\ax-bx=c\\x(a-b)=c\\x=\frac{c}{a-b}$

This equation has exactly one solution

C. $ax+b=ax+c$

$ax+b=ax+c\\ax-ax=c-b\\0=c-b$

This equation has no solution because both sides are not equal.

So, Option B is correct.

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

4 0

3 years ago

In ogilvie's class of 40 student 24 student report that English is their favorite class and 40 percent of the students report th

Elina [12.6K]

Answer: English is the preferred one.

Step-by-step explanation:

When you are dealing with percentage problems you just have to do a simple rule of three to answer the question, we have that our 100% is the total number of students:40, and 40% of them report that keyboarding is their favorite class, while 24 students say that English is their favorite class, now we just have to convert:

We clear the X and our function would look like this:

Now we know that 16 kids prefer keyboarding over the 24 that prefer English, since there are more kids that prefer English that is the favorite class.

5 0

3 years ago

Options are:<br><br> X=2, y=3<br><br> X=3, y=2<br><br> X= -2, y=3<br><br> X=4, y=8

trapecia [35]

Step-by-step explanation:

2x - 5 = y - 5

2x = y

x = y/2

y - 3 = x + 1

Substitute the value of x here,

y - 3 = $\rm{\dfrac{y}{2} + 1}$

y - 3 = $\rm{\dfrac{y + 2}{2}}$

2y - 6 = y + 2

y = 8

Now, x = 8/2

x = 4

So, go for D part, it is the correct answer.

Good Night/Day !

5 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point(-5,-4) and has a slope of -3/5?

Elodia [21]

Answer:

y= mx+c

-4= -3/5(-5) + c

-4= -3/5 *-5+ c

-4=3+c

-4-3=c

-7=c

therefore the equation of the line is y=-3/5x-7

Step-by-step explanation:

the equation of a line is

y=mx +c

where y is the y coordinate

where m is the slope

where x is the x coordinate

where c is the y- intercept

6 0

3 years ago

At the park there a pool shaped like a circle. A - shaped path goes around the pool. Its inner diameter is 18 yd and its outer d

Hoochie [10]

Answer:

46 gallons

Explanation:

First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to

$A=\pi r^2$

Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to

radius = diameter/2

radius = 28 yd/2

radius = 14 yd

Then, the area of the outer circle is

$\begin{gathered} A=(3.14)(14\text{ yd\rparen}^2 \\ \text{ A = \lparen3.14\rparen\lparen196 yd}^2) \\ A=615.44\text{ yd}^2 \end{gathered}$

In the same way, the radius of the inner circle is

radius = diameter/2

radius = 18 yd/2

radius = 9 yd

Then, the area is

$\begin{gathered} A=(3.14)(9\text{ yd\rparen}^2 \\ A=(3.14)(81\text{ yd}^2) \\ A=254.34\text{ yd}^2 \end{gathered}$

So, the area of the path is

Area path = 615.44 yd² - 254.34 yd²

Area path = 361.1 yd²

Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as

$361.1\text{ yd}^2\times\frac{1\text{ gallon}}{8\text{ yd}^2}=45.14\text{ gallons}$

Therefore, the number of gallons is 46 because we need to round the result to a whole number.

8 0

2 years ago