find the area of this figure. round your answer to the nearest hundredth. use 3.14 to approximate pi
Answers
Answer:
51.63 m²
Step-by-step explanation:
[tex]\textsf{Area of a semicircle} =\dfrac12\pi r^2[/tex]
Given:
[tex]\pi =3.14[/tex][tex]\textsf{diameter}=6 \textsf{ m}\implies \textsf{radius}=3 \textsf{ m}[/tex][tex]\implies \textsf{area}=\dfrac12 \times 3.14 \times 3^2=14.13[/tex]
[tex]\textsf{Area of a triangle} =\dfrac12 \times \textsf{base} \times \textsf{height}[/tex]
Given:
base = 3 mheight = 5 m[tex]\implies \textsf{area}=\dfrac12 \times 3 \times 5=7.5[/tex]
[tex]\textsf{Area of a rectangle} =\textsf{width} \times \textsf{length}[/tex]
Given:
width = 5 mlength = 6 m[tex]\implies \textsf{area}=5 \times 6=30[/tex]
Total area = area of semicircle + area of triangle + area of rectangle
= 14.13 + 7.5 + 30
= 51.63 m²
Solution:
Step-1: Find the area of the triangle.
[tex]\text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\text{Area of triangle} = \dfrac{1}{2} \times 3 \times 5[/tex]
[tex]\text{Area of triangle} = 3 \times 2.5[/tex]
[tex]\text{Area of triangle} = 7.5 \ \text{m}^{2}[/tex]
Step-2: Find the area of the rectangle.
[tex]\text{Area of rectangle} = \text{LB}[/tex]
[tex]\text{Area of rectangle} = (6)(5)[/tex]
[tex]\text{Area of rectangle} = 30 \ \text{m}^{2}[/tex]
Step-3: Find the radius of the semi-circle.
[tex]\text{Diameter = 2(Radius)}[/tex]
[tex]6 \ \text{m = 2(Radius)}[/tex]
[tex]\dfrac{6}{2} \ \text{m} = \dfrac{2\text{(Radius)}}{2}[/tex]
[tex]3 \ \text{m} = \text{Radius}[/tex]
Step-4: Find the area of the semi-circle.
[tex]\text{Area of semi-circle} = \dfrac{\pi r^{2} }{2}[/tex]
[tex]\text{Area of semi-circle} = \dfrac{(3.14)( 3^{2} )}{2}[/tex]
[tex]\text{Area of semi-circle} = \dfrac{(3.14)(9 )}{2}[/tex]
[tex]\text{Area of semi-circle} = (3.14)(4.5 )[/tex]
[tex]\text{Area of semi-circle} = 14.13 \ \text{m}^{2}[/tex]
Step-5: Find the area of the figure.
[tex]\text{Area of figure = Area of triangle + Area of rectangle + Area of semicircle}[/tex]
[tex]\text{Area of figure = 7.5 + 30 + 14.13}[/tex]
[tex]\boxed{\text{Area of figure = 51.63 m}^{2}}[/tex]
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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=25m^2
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I think that this question is really hard for some reason
Answers
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Step-by-step explanation:
1) 5(b+3) - distribute
2) 5b = 15
3) [tex]\frac{5b}{5} =\frac{15}{5}[/tex] - divide
4) b = 3 - solution
Hello people ~
The sides of a triangle are 5, 12 & 13 units. Check if it has a right angle or not.
Answers
Step-by-step explanation:
The sides of triangle are 5,12 and 13
Here, the greatest side is 13
Therefore,
13²=5²+12²169=25+144169=169 (True)Hence, these sides will form a right angled triangle.
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
To check if the triangle is congruent or not, we have to see if they form Pythagorean triplet, that is :
sum of squares of smaller sides should be equal to square of the longest side.
let's check it out ~
[tex]\qquad \sf \dashrightarrow \: {5}^{2} + 12 {}^{2} = {13}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: {25}^{} + 144 = 169[/tex]
[tex]\qquad \sf \dashrightarrow \: 169= 169[/tex]
Therefore, the sides 5, 12 and 13 forms a right angle.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
We will use the method of cross multiplying and dividing.
You will multiply 60 x 3
Then, take the answer (180) and divide it by 36.
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Answers
Answer: 17
Step-by-step explanation:
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Answers
Answer:
A
Step-by-step explanation:
y = a f(x)
If |a| > 1 then a f(x) is f(x) stretched vertically by scale factor of a
If 0 < |a| < 1 then f(x) is squashed vertically
If a < 0 then f(x) is also reflected in the x-axis
y = f(ax)
If |a| > 1 then f(ax) is f(x) squashed horizontally by a scale factor of a
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Answers
Answer:
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Step-by-step explanation:
First divide 510 by 20 510 ÷ 20 = 25.5 into 65 = 1657.5
Given that test of a new car results in 510 miles on 20 gallons of gas. By unitary method, you can drive miles on 65 gallons of gas.
Unitary method is a method of solving a problem wherein to find the value of k units, you first calculate the value of one item, then multiply the value of the one item to k.
Given in the question,
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Answer:
36 squares per table cloth, so;
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Answers
Answer:
reflected point: (7, 0)any point on the line of reflection is invariantStep-by-step explanation:
The point (7, 0) becomes the point (7, 0) when reflected over the x-axis. That is, its coordinates do not change.
The point (7, 0) lies on the x-axis, so is on the line of reflection. Any point on the line of reflection is invariant--it doesn't move.
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The transformation for reflection in the x-axis is ...
(x, y) ⇒ (x, -y)
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Answers
Answer:
17/18
Step-by-step explanation:
okay this one is a bit different
you have to take the total number that are batwing-shaped (12) and the total number that are made of cotton (12) and then subtract the ones that are both batwing-shaped and made of cotton.
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Answer:
382
Step-by-step explanation:
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Answer:
The answer is the top right corner. (pi* 3* 12^2)
I did this in TTM
Answer:
π⋅3⋅12^2
Step-by-step explanation:
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Answers
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.
what quadrilateral is this
Answers
" First of all, this is a hexagon which has 6 sides and 6 angles "
It is usually referred as regular Hexagon.Answer:
Step-by-step explanation:
This is NOT a quadrilateral as the shape has 6 sides with 2 pairs of them parallel to each other. All quadrilaterals have 4 sides instead.
3) Estimate the product by rounding each number to its highest place value. 3,812.99 x 62.7=
Answers
Answer:
The answer without rounding the numbers to the highest place value is 239074.473 if this was rounded to the nearest whole number it will be 239074
Step-by-step explanation:
3812.99 would be rounded to 3813
62.7 would be rounded to 63
3813*63=240219 <-----Correct answer
hope this helps mark brainliest please :)
Find the 60th term of the arithmetic sequence -10, 8, 26, ...
Answers
Sn=a+(n-1)d
n=60,a=-10,d=8-(-10)=8+10=18
S60=-10+(60-1)18
S60 =-10+(59)18
S60=-10+1062
S60 =1052
a ramp 19 ft long rises to a platform that is 17 ft off the ground. Find x, the angle of elevation of the ramp
Answers
sin
θ
=
18
20
θ
=
sin
−
1
(
18
20
)
θ
=
64.16
o
I need advice on this answer not good at math
Answers
Answer:
A rational number is defined as a number that can be written as a fraction and a number that terminates.
An irrational number is defined as a number that can't be written as a fraction and a number that has no end.
Step-by-step explanation:
4/7 is irrational because, in decimal form, it is 0.57142857...
Square root of 30 is also irrational because the square root is 5.47722557...
21 divided by square root of 4 is rational because square root of 4 is 2 and 21 divided 2 is 10.5.
pi is irrational because, in decimal form, it is 3.14159265....
-27 is also rational because it terminates
Answer:
4/7 rational, Sq root 30 irrational, 21/Sq root 4 rational, pi irrational, -27 irrational
Step-by-step explanation: