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
Readme [11.4K]
2 years ago
12

What is the area of this composite shape?

Mathematics
2 answers:
jasenka [17]2 years ago
8 0

Answer:

52 in^2

Step-by-step explanation:

8 times 7 equals 56 ( larger square part)

1/2(3 times 4) equals 6

White raven [17]2 years ago
4 0

Answer:

Labeled the diagram as shown below.,

In rectangle ABCD:

Area of the rectangle(A) is given by:

From the diagram:

AB = DC = 8 in. and AD = BC = 7 in.

⇒Length = 7 in. and width = 8 in.

then;

Next, find the area of triangle OAE:

In triangle OAE

Base = AE = 3 in.

Height = OA = 4 in.

then;

Area of this composite figure = area of rectangle ABCD+ area of triangle OAE

⇒Area of this composite figure = 56 +6 = 62 square inches.

therefore,  area of this composite shape is, 62 in²

You might be interested in
The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3. What is the equatio
Iteru [2.4K]

Answer:

The answer is "3".

Step-by-step explanation:

If the compression factor of 3 is modified, the k value is 3 For a function f(x) the horizontal extending or compression is provided by g = f (bx)

Here b is constant. Where b is constant.

If b> 0, the function graph is condensed. The fact that perhaps the function is transformed by an encoding factor of 3 is given in the question.

\to f(x)=7^x+1\\\\\to g=f(b(x))

5 0
2 years ago
Question 1.:
klasskru [66]

Answer:

-7 is bigger

-9 is bigger

-6 is bigger

7 is bigger

I think.....

-9,-8,-7,-6,-4

-9,-7,-6,4,7

-2-1,0,4,9

-8,-2,3,5,8 ?

I guess I didn't understand the question

8 0
2 years ago
1/(x+1) + 1/a(x+1) find the lcm​
azamat

Answer:

See below.

Step-by-step explanation:

1/(x + 1) consists of 1 factor, 1/(x + 1)

1/[a(x + 1)] consists of two factors, 1/a and 1/(x + 1)

The LCM is 1/[a(x + 1)]

The LCD is a(x + 1)

5 0
3 years ago
Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

5 0
3 years ago
Find the quadratic function y=​f(x) whose graph has a vertex ​(−3​,4​) and passes through the point ​(−7​,0). Write the function
olganol [36]

Answer:

Step-by-step explanation:

This is a parabola since a quadratic is a parabola.  The standard form for a parabola is y = ax² + bx + c

but before we do that, we will use the vertex form, since it will make our work easier at the beginning.  

First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be

y=-|a|(x - h)² + k

The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front.  So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex:  x = -7, y = 0, h = -3, k = 4

0 = a(-7 - (-3))² + 4 and

0 = a(-7 + 3)² + 4 and

0 = a(-4)² + 4 and

0 = a(16) + 4 and

0 = 16a + 4 and

-4 = 16a so

a=-\frac{1}{4}

Now that we know a, we can plug it back into the vertex form and then put it into standard form from there.

y=-\frac{1}{4}(x+3)^2+4

Now we will FOIL out what's inside the parenthesis to get

y=-\frac{1}{4}(x^2+6x+9)+4

Simplify by distributing the -1/4 into the parenthesis:

y=-\frac{1}{4}x^2-\frac{3}{2}x-\frac{9}{4}+4

Combine like terms to get

y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{7}{4}

And there you go!

5 0
3 years ago
Other questions:
  • steve reads 20 pages of his graphic novel per hour . if the book has 200 pages and he reads for d hours , which expression shows
    12·1 answer
  • –8 ÷ 2 =<br> answer now and free r
    10·2 answers
  • Solve log base(x − 1) 16 = 4.
    12·2 answers
  • (20,24),(4,8) the equation of the line is=
    12·1 answer
  • Please help me !!!!!!!!!!
    6·1 answer
  • Calculate P(A or B) where A and B are mutually exclusive events and P(A) = 1 and P(B) =
    5·1 answer
  • A car travels to 253 miles in eight hours how far can you travel in seven hours?
    7·1 answer
  • Washington Middle School sold 405 tickets to the annual musical production for Friday night. If the tickets sold for Friday nigh
    6·2 answers
  • Ayúdenme porfavor es para mi tarea ​
    7·1 answer
  • FFA Entrepreneurship Entries
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!