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
Phoenix [80]
3 years ago
15

I would like to get some information of how to do this...​

Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0

Answer:

The area is approximately 30.69 cm^2.

Step-by-step explanation:

To solve this problem, we first have to recognize that the side of the block is a rectangle with a semicircle missing.  This means that to find the area, we must find the area of the rectangle and then subtract the area of the semicircle.  Using the respective formulas, we get the following expression for area:

A = (length * width) - (1/2*pi*r^2)

Now, we must plug in the given values shown in the figure.  The length is 9 cm, the width is 4.5 cm, and the diameter is 5 cm.  However, the formula asks for the radius, which is simply half of the diameter, or 2.5 cm.  

A = (9 cm * 4.5 cm) - (1/2 * 3.14 * (2.5 cm)^2)

Next, we should perform the operations indicated inside the parentheses.

A = 40.5 cm^2 - 9.81 cm^2

Finally, we can subtract the two values (this represents taking away the area of the semicircle from the rectangle).

A = 30.69 cm^2

Therefore, the area of the side is approximately 30.69 cm^2.

Hope this helps!

You might be interested in
The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of
Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

\cos(60 \degree)  =  \frac{altitude}{hypotenuse}

\cos(60 \degree)  =  \frac{altitude}{8}

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

\sin(60 \degree)  =  \frac{4 - y}{y}

y\sin(60 \degree)  = 4 - y

y\sin(60 \degree)   + y= 4

(\sin(60 \degree)   + 1)y= 4

y=  \frac{4}{\sin(60 \degree)   + 1}

y = 16 - 8 \sqrt{3}

y=1.857

The diameter is 2y

d = 32 - 16 \sqrt{3}

=2(1.875)

The length of a Diameter is 3.714

7 0
2 years ago
Read 2 more answers
The student council sold jars of mixed nuts at their bazaar they were given 40 empty jars. They paid $19.60 for the nuts and $11
Alex Ar [27]

Answer:

\$1.75

Step-by-step explanation:

Total amount paid for the nuts is $19.60

Total amount paid for the ribbons is $11.20

Profit made on each jar is 98¢= $0.98

Cost price of the nuts and ribbon for the 40 jars is 19.6+11.2=\$30.8

Cost price for nuts and ribbonn for one jar = \dfrac{30.8}{40}=\$0.77

Selling price is the sum of the cost price and profit.

Selling price for one jar = 0.77+0.98=\$1.75

They charged \$1.75 for each jar.

3 0
2 years ago
Which store is offering the best deal?
disa [49]
The answer to this question is 8 for $6
3 0
2 years ago
I need help in this question that is in the photo
mihalych1998 [28]
The answer is A, 1. In the statement x^2 >x, if we try 4, 5 and 8 for x, we get 16, 25 and 64 for x^2. The statement is true. But if we try x = 1, when we square it we still have 1. Therefore for x=1, x^2>x is false.
7 0
2 years ago
Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall 60 feet is 0.25(radic
AnnZ [28]

We are given

Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall 60 feet is 0.25(radical60).

so, time is

T=0.25\sqrt{60} =\frac{1}{4} \sqrt{60}

we have to approximate it's value

First approximation set:

we know that

49

we can take sqrt all the sides

\sqrt{49}

we can simplify it

7

Divide all sides by 4

\frac{7}{4}< \frac{1}{4} \sqrt{60}

Second approximation set:

7.7

Divide all sides by 4

\frac{7.7}{4}

1.925

Third approximation set:

7.74

Divide all sides by 4

\frac{7.74}{4}

1.935

so, we get

t=1.94seconds......Answer

7 0
2 years ago
Other questions:
  • Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 15
    10·2 answers
  • Fill in the blanks to complete the following equation so it has infinitely many solutions:
    7·1 answer
  • Y to the power of -4
    5·1 answer
  • What's a rule that could be used to simply the square of any square root of a number?
    15·1 answer
  • Jade solved the following equation:
    11·1 answer
  • Given the function f(x) = 8x+2, evaluate f(6),
    10·2 answers
  • need help, will give Brainly
    9·2 answers
  • Help mee
    8·1 answer
  • A train leaves at 5.35 and arrives at 18.20 how long its journey . how long is the journey
    5·1 answer
  • The addtive inverse of the complex number (4_7)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!