1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sati [7]
2 years ago
9

A square has a triangular hole in it. What is the area of the figure?

Mathematics
1 answer:
muminat2 years ago
8 0

Answer:

76.5in²

Step-by-step explanation:

First we will find the area of the square. This is done by multiplying the side length (9in) by itself.

9 * 9 = \boxed{81}

The area of the square is 81in².

Next we will find the area of the triangular hole. We can use the formula \frac{1}{2}bh, where b is the base of the triangle (3) and h is the height of the triangle (3).

\frac{1}{2}bh\\\frac{1}{2}(3)(3)\\\frac{9}{2}\\\boxed{4.5}

The area of the triangle is 4.5in².

Now we can find the area of the figure by subtracting the area of the square and the area of the triangular hole.

81 - 4.5 = \boxed{76.5}

The area of the figure is 76.5in².

That is the answer

- Kan Academy Advance

You might be interested in
Which table represents a linear function
lesya692 [45]

Answer: B

Step-by-step explanation:

B is the only one of the tables that goes up with a order

3 0
3 years ago
The surface area of an oil spill gets 131% larger every day, represented by the function s(x) = (1.31)x − 1. On the first day, i
scoray [572]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that the surface area of an oil spill gets 131% larger every day, represented by the function

Where x is number of days.

On the first day, it covered an area of 21 square meters. It means the initial area is 21 square meters.

The function is defined as

Where is initial value and b is growth factor.

It means the function of new area is the product of initial area and increasing area function. The required function is

Therefore option B is correct.

6 0
3 years ago
If x – 9 is a factor of x2 – 5x – 36, what is the other factor? x – 4 x 4 x – 6 x 6
Sergio [31]

Answer:

(x+4)

Step-by-step explanation:

Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)

8 0
3 years ago
Simiplify without using absolute value bars, Solve for |x +7| for x>=7
Pavlova-9 [17]

9514 1404 393

Answer:

  x +7

Step-by-step explanation:

The argument of the absolute value function is positive for any x > -7. The required domain is a subset of that, so the absolute value function does not change its argument.

  |x+7| for x ≥ 7 is x +7

5 0
3 years ago
Consider the table of values.
Anestetic [448]

Answer:

B.  The relationship between the variables in the table is quadratic because the second differences are constant.

Step-by-step explanation:

We have to look for the differences in the y values of the given table.

The y values are:

0, 2, 6, 12, 20, 30, 42

The differences between the consecutive values are:

2, 4, 6, 8, 10, 12

These are the first differences and are not constant. This means the relationship is not linear. Now we again find the differences between the consecutive values:

2, 2, 2, 2, 2

These are the second differences. The second differences are constant. So this means the given relationship is quadratic.

Therefore, option B gives the correct answer. The relationship between the variables in the table is quadratic because the second differences are constant.

8 0
4 years ago
Other questions:
  • Mrs Larsen made 12 pillows from 16 yards of the same fabric. How much fabric was used to make each pillow? between what two whol
    10·1 answer
  • Amy needs 6/8 gallon of fruit juice to make punch she needs an equal amount of sparkling water how much sparkling water does she
    14·1 answer
  • If 33mn+10=38mn, then what is the value of -3/2mn?
    5·1 answer
  • The equation sinx = (sqrt2)/2 is an identity. True or False?
    5·2 answers
  • (-3)^3 Evalute<br> ,,,,,,,,,,,,,,,
    9·1 answer
  • Giving extra points if you can answer
    11·1 answer
  • You have a new puppy that is one fifth of the size of your older dog.if your older dog wieghts 25 2/5 pounds how much does your
    9·1 answer
  • I need help now, plz and thank you
    8·1 answer
  • Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its
    11·1 answer
  • Which statement about the relationship between the graph f and the graph of g(x)=7x^2 is true
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!