All categories

2 years ago

Find the Area of the figure below, composed of a rectangle with two semicircles removed. Round to the nearest tenths place.

Mathematics

1 answer:

Allisa [31]2 years ago

6 0

Answer:

21.8

Step-by-step explanation:

hii so basically first we find the area of the 9 by 8 and subtract the area of the semicircles.

area of circles are πr^2, so in this situation

π4^2 which is 16π.

with this, the semicircle which is half a circle would give us

16π/2 which is 8π.

but then, we have two semicircles removed so we would have as an answer:

(9*8)-8π+8π

72-16π

then you would have to round so

16π is around 50.2

so 72-50.2 is 21.8

i hope this helped you <33

You might be interested in

HELP ASAP!!!!!!!!!!!!!! ITS AN EMERGENCY!!!!!!!!

laila [671]

Answer

Step-by-step explanation:

4 0

2 years ago

A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the

forsale [732]

<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly = $(\frac{1}{2})$ = p = 0.5

Also, the possibility of answering a question wrong = $(\frac{1}{2})$ = q = 0.5

Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.

P(answering 8 correct answer) = $^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2 = 0.0439$

P(answering 9 correct answer) = $^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1 = 0.0097$

P(answering 10 correct answer) = $^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0 = 0.00097$

So, the total Probability = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.

6 0

3 years ago

What is the following sum?<br> 5(3squareroot x) +9 (3squareroot x)

Volgvan

$\sf{14(\sqrt[3]{x}) }$

Step-by-step explanation:

$5(\sqrt[3]{x})+9(\sqrt[3]{x})\\\\(5+9)(\sqrt[3]{x})\\\\14(\sqrt[3]{x})$

7 0

2 years ago

The easiest way to find THE SLOPE on a graph? Please HELP

ratelena [41]

Step-by-step explanation:

Pick two points on the line and determine their coordinates

Select one to be (x1, y1) and the other to be (x2, y2)

Finally use the slope intersect equation to calculate the slope:

<em>Formula-</em><em> </em>

Hope this helps, let me know if you need more information, I'll be glad to help! :)

3 0

2 years ago

What is the equation of the quadratic graph with a focus of (4, −3) and a directrix of y = −6?

Artyom0805 [142]

Answer:

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

Step-by-step explanation:

∵ The quadratic equation form is :

y = [1/2(b - k)] (x - a)² + (b + k)/2

Where (a , b) is the focus and directrix y = k

∵ The focus is (4 , -3) and directix is y = -6

∵ $y=\frac{1}{2(-3-(-6))} (x-4)^{2}+\frac{(-3)+(-6)}{2}$

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

∴ $y=\frac{1}{6} (x-4)-\frac{9}{2}$

another way:

Assume that (x , y) is the general point on the parabola

∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)

By using the distance rule:

∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)

∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9

∴ 12y - 6y = (x - 4)² + 9 - 36

∴ 6y = (x - 4)² - 27 ⇒ ÷ 6

∴ y = 1/6 (x - 4)² - 9/2

4 0

3 years ago