Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.
Answers
By dividing the figure in a rectangle and a circle, we will see that the area of the composited figure is equal to 149.25 square units.
How to find the area of the image?The area will be the area of the rectangle plus the area of the semicircle.
We can see that the width of the rectangle is equal to the diameter of the semicircle, and the radius of the semicircle is 5 units, so its diameter is:
2*5 = 10 units.
Then the rectangle measures 11 units by 10 units, then its area is:
A = 10*11 = 110 square units.
In another hand, for a semicircle of radius R the area is:
A = 0.5*3.14*R^2
In this case we have R = 5, replacing that we get:
A = 0.5*3.14*5^2 = 39.25 square units.
Adding these two we get:
Area = 110 square units + 39.25 square units = 149.25 square units.
If you want to learn more about areas, you can read:
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Related Questions
A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 47 °. How far off the coast, to the nearest foot, is the island?
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let x rep the foot of the island
Using trig formula
SOHCAHTOA
sin 47° = 950/x
xsin47° = 950
x = 950/sin47°
Which graph represents a function?
Answers
Answer:
the answer is the top right one
what is 3|(18-3)+4((5-(-7)|
Answers
Answer:
37
Step-by-step explanation:
Expand the equation
3 x (18 - 3) + 4 x (5 - 7)
Use BODMAS
First find the sum of brackets
18 - 3 = 15
3 x 15 = 45
then
5 - 7 = -2
-8
so
45 + - 8 = 37
BODMAS
B - Brackets
O - Power
D - Divison
M - Multiplication
A - Addition
S - Subtraction
Hope this helped you
:-)
Mark is painting the ceiling of a square room. If the area he paints is 400 sq. feet, what are the dimensions of the room?
Answers
Answer:
20 by 20
Step-by-step explanation:
square root of 400 is 20
20 times 20 = 400
A store 7% sales tax.which expression can be used to find the total cost of an item with a price of p?
Answers
1.07
Step-by-step explanation:
Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00
10 * 7/100 = 0.70 dollars.
The total cost is 10.70 dollars. or 10 dollars and 70 cents.
The best way to do the total however is to multiply the cost by 1.07. You will get the number the customer has to pay.
10 * 1.07 = 10.70
So for any price (p) it would be 1.07*p
Write in standard form 820000000
Answers
Answer: 8.2 x 10^8
Step-by-step explanation:
Answer:
[tex]answer[/tex]
[tex]820000000 = 8.2 \times 10 {}^{8} [/tex]
Step-by-step explanation:
hope this helps you!!!
#ITSCHOCOLOVER
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Answer:
B and D
Step-by-step explanation:
From inspection of the graph, we can see that as [tex]x[/tex] increases, [tex]f(x)[/tex] tends to 0 (gets increasingly closer to zero, but doesn't actually get there).
Therefore:
B) [tex]\textsf{as }x\rightarrow +\infty, f(x) \rightarrow 0[/tex]
From inspection of the graph, we can see that as [tex]x[/tex] decreases, [tex]f(x)[/tex] is increasing.
Therefore:
D) [tex]\textsf{as }x\rightarrow -\infty, f(x) \rightarrow +\infty[/tex]
simplify -4/5 divided by 3/-2
Answers
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
Answer:6/36
Step-by-step explanation:
Question number 2 please
Answers
Answer:
[tex]1 \frac{5}{6} [/tex]
Step-by-step explanation:
[tex] \frac{1}{6} + 1 \frac{2}{3} \\ \\ \frac{1}{6} + \frac{5}{3} \\ \\ \frac{1 + 10}{6} \\ \\ \frac{11}{6} \\ \\ = 1 \frac{5}{6} [/tex]
The right answer is not in the option smh.
x- 4y=28 in slope intercept form
Answers
Answer:
y = -9.5 + x/4
Step-by-step explanation:
1. x-4y=38
-x -x
2. -4y= 38-x
/-4 /-4 /-4
3. y= -9.5 + x/4
The equation of a line x- 4y = 28 in slope intercept form is y = (1/4)x - 7.
What is slope?Slope can be defined as the rate of change of the y-axis with respect to the x-axis. Slope can also be thought of as rise over run which is (y₂-y₁)/(x₂-x₁).
We know the equation of a line in slope intercept form is y mx + b.
Where slope = m, y-intercept = b, and (x,y) are the points that lie on the line.
Given x - 4y = 28.
-4y = - x + 28.
4y = x - 28.
y = (1/4)x - 7.
learn more about lines here :
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i need help, what do i do?
Answers
Answer:
x = 2, y = 5.
Step-by-step explanation:
The solution is the point where the lines cross.
(2, 5)
Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?
ANSWER: A
Answers
Answer:
>
Step-by-step explanation:
Type A is five feet tall and grows at a rate of 12 Inches per year?
Answers
Answer: it is 5 years old
Step-by-step explanation: because 12 inches is 1 foot long and5feetis5yearsfootlongfoot
There are 5 crayons. Two are broken. What fraction of the crayons are not broken?.
Answers
Answer:
3/5 of the crayons are not broken since 2 are broken
The fraction of crayons that are not broken if out of 5 crayons, 2 of them being broken is 3/5
How to interpret the fraction?Suppose the fraction is proper (the numerator is smaller than the denominator).
Let it be [tex]\dfrac{a}{b}[/tex]
Then, we can interpret it as:
[tex]\dfrac{a}{b}[/tex] is "a" parts out of "b" parts of a thing.
Here, we're specified that:
5 crayons are there2 crayons are brokenThen we get:
Number of crayons that aren't broken = total crayons - number of broken crayons = 5 - 2 = 3
Thus, 3 out of 5 crayons are not broken.
Using fraction, we write it as:
[tex]\dfrac{3}{5}[/tex]
We pronounce it as "three-fifth of total crayons are not broken".
Thus, the fraction of crayons that are not broken if out of 5 crayons, 2 of them being broken is 3/5
Learn more about fraction here:
https://brainly.com/question/11455463
What steps do you need to take to solve the equation 1 2x+6=18?
Answers
1.) move the constant over (1/2x=18-6) || 2.) combine like terms (1/2x=12) || 3.) divide both sides by 1/2 to get x alone (x=6)
What are the two missing terms in this number sequence: 18,33,38,48,__,63? *
Answers
Answer:
53 and 58 please give brainly
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A. 4w + 3
B. w – 3
C. 5w
D. 6w + 4
Answers
Answer: i got C sorry if its not right
Solve 3[-x + (2 x + 1)2 = x - 1
X=?
Answers
Answer:
x=−7/8
Step-by-step explanation:
What is the slope of the line perpendicular to the line with the equation 5x + 3y=18?
Answers
Answer:
3 i think
hope it helps...
Diego likes to add an 18% tip to
his restaurant check. How much
tip will he leave if his total bill is
$65.70?
Answers
Answer:
the tip would be $11.83
Step-by-step explanation:
hope that helps
A video game costs £42.
A new version of the game is released.
The price has increased by 15%.
Work out the cost of the new version. £ |
Help!!!
Answers
Answer:
48.30
Step-by-step explanation:
42(1.15) = 48.30
New version (15% more expensive)
Change in cost: 42 x 15% = 6.3
New version cost: 42 + 6.3 = 48.3
maths question vv
Answers
Answer:
Step-by-step explanation:
Let assume Polly got "x" amount of money, then Andy got "2x" and Phoebe got 3(2x)
x + 2x + 6x = 270
9x = 270
x = 30
Polly has 30 ( pound sterling )
Andy has 60 ( pound sterling )
Phoebe has 180 ( pound sterling )
-42.3 divided by 3.4
Answers
Answer:
-12.44
Step-by-step explanation:
Answer:
[tex]-\frac{423}{34}[/tex]
I hope this helps!
Use picture above.
Write the ratio. Please explain what the ratio means.
Answers
1) 2:5 ratio
This is a fairly simple process, you count how many of each and then put them in order the way the question asks.
So there are 5 cans and 2 bottles. The question asks "bottles to cans" so the correct answer HAS to be 2:5, NOT 5:2.
2) 3:1
There is 1 spoon and 3 forks. The question asks "forks to spoons" so the correct answer HAS to be 3:1, NOT 1:3
Ya'll at this point I'm stressed out w this question please , I beg you help mee !!! attachment included !!
Answers
Answer:
(7,0) (9.5,0) x-axis
(0,4) y axis
(6.4, 2.7) 1st quadrant
(-3,2) 2nd quadrant
(-2.9, -4.6) 3rd quadrant
(8,-1) 4th quadrant
Step-by-step explanation:
x axis is second number 0
y axis is first number 0
1st quad is positive positive
2nd quad is negative positive
3rd quad is negative negative
4th quad is positive negative
Which point is not on the graph of the equation
4x+2y=12
A.(-2, 10)
B.(0, 6)
C.(-5, 4)
D.(7, -8)
Answers
Answer:
-5, 4
Step-by-step explanation:
When finding the slope of all the points they all are supposed to equal -2. (-5, 4) slope is 2, so that is why it is incorrect.
Hope this helps! :)
What is the equation of the line that goes through (-3,-1) and (3,3)?
A. 3x + 2y = 15
B. 3y + 2x = 15
C. 3x − 2y = 3
D. 2x − 3y = -3
Answers
hope this helps..........…….
Answer:
It’s D : 2x - 3y= -3
Step-by-step explanation: I got a 100 on the test.
If a supplement of an angle is 20 more than 3 times a complement, then the measure of the angle is?
Answers
therefore,Its supplement is 180-x and its complement is 90-x
According to the problem
180-x=3(90-x)+20
=>180-x=270-3x+20
=>-x+3x=270+20-180=110
=> 2x=110
x=55
Pleaseeeeeee helppp!!!
Answers
Hey there!
12 pieces make a dozen
12 pieces uses 2 cup of flour
That means per flour is 6
=> 6s = 36
Substitute 6s = 36
=> 6s = 36 { obtain a formula for s}
=> s = 36/6 { Divide}
=> s = 6
Therefore, they need 6 scoops of flour
Please help I need just 4 Correct for answers to pass
Answers
Answer:
Hey!
Your answer is 14m (2sf)
Step-by-step explanation:
WE HAVE TO USE PYTHAGORAS! ⇒ a²+b²=c² THEN √c = (unknown side)
Here: 12² + 8²= 208
Now SQUARE-ROOT 208! ⇒ √208
ANSWER: 14.42220510185596
The answers there are rounded up so we round this number to get 14m!
B IS YOUR OPTION!
I HOPE THIS HELPED YOU!