The diagram shows a circle and an equilateral triangle. One side of the equilateral triangle is a diameter of the circle. The circle has a circumference of 48cm. Work out the area of the triangle.
Answers
Answer:
[tex] Area = 101.4 cm^2 [/tex] (3 S.F)
Step-by-step explanation:
Diameter of circle (D) = one side of the equilateral ∆
Circumference of the circle = πD = 48 cm
Thus:
πD = 48
Divide both sides by π
D = [tex] \frac{48}{\pi} [/tex] = 15.3 cm (approximated to nearest tenth)
Since all sides an equilateral ∆ are equal, therefore, and the diameter, D, of the circle given is the same as the length of one side of the ∆, therefore, all sides of the equilateral triangle would be 15.3 cm.
Recall that the area of a triangle can be found if we know lengths of the two sides of the ∆ and the measure of the included angle between both sides.
Since an equilateral ∆ has equal angles, each measuring 60°, then we already have all the information needed to calculate the area of the ∆.
Thus:
Length of the two sides = 15.3 cm and
15.3 cm
Included angle = 60°
Use the following formula:
[tex] Area = \frac{1}{2}ab \times Sin(C) [/tex]
Where,
a = 15.3 cm
b = 15.3 cm
C = 60°
Plug the values into the formula to find the area.
[tex] Area = \frac{1}{2} \times 15.3 \times 15.3 \times Sin(60) [/tex]
[tex] Area = \frac{1 \times 15.3 \times 15.3 \times Sin(60)}{2} [/tex]
[tex] Area = 101.4 cm^2 [/tex] (3 S.F)
Related Questions
Hello help me please
Answers
Answer:ED=9, DF=9sqrt3, and EF=18
Step-by-step explanation:30-60-90 triangle, a:short, asqrt3:longer, 2a:longest
m∠E=60°
Joes age is three times Arrons age. If the sum of their ages is 64, how old are Joe and Aaron
Answers
Answer:
Joe is 48 Aaron is 16
Step-by-step explanation:
64=3x+x
64=4x
64/4=16
16
16x3=48
One grade of tea costing $3.20 per pound is mixed with another grade costing $2 per pound to
make 20 lbs of a blend that will sell for $2.72 per pound. How much of the $2 tea is needed?
Answers
Answer:
12 of $3.2 grade is needed
Step-by-step explanation:
after giving 20% discount a fan is sold at Rs 12480 find its marked price
Answers
Answer:
14976
Step-by-step explanation:
20/100=0.2
12480*0.2=2496
12480+2496=14976
Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y=8/3
x?
HELP ASAP
Answers
Hi there!
[tex]\large\boxed{y = \frac{8}{3}x - \frac{2}{3}}[/tex]
A line parallel to y = 8/3x has a slope of 8/3, therefore:
Plug the given slope into the slope-intercept formula, along with the given coordinates to solve for the formula:
2 = 8/3(1) + b
2 = 8/3 + b
6/3 = 8/3 + b
6/3 - 8/3 = b
b = -2/3
Therefore, the equation in slope formula is:
y = 8/3x - 2/3
What is the value of x?
А.3
B.2
C.4
D.5
Answers
Is y = x^2 + 1 a function
Answers
What is the missing number? 4(_ + 7) = 36 + 28
If you could show a step by step explanation that would be awesome!
Answers
Answer:
Step-by-step explanation: 9
9514 1404 393
Answer:
9
Step-by-step explanation:
Divide the equation by 4:
(_ +7) = 9 + 7
Subtract 7:
_ = 9
The missing number is 9.
can anyone help me with this?
complete the table of values of
f(x) = 3×
Answers
Answer:
See sample table below.
Step-by-step explanation:
The function is given as :
f(x) = 3ˣ
A table of values can be formed as ;
x calculations f(x)
-4 3⁻⁴ 0.0123
-3 3⁻³ 0.0370
-2 3⁻² 0.1111
-1 3⁻¹ 0.3333
0 3⁰ 1.000
1 3¹ 3.000
2 3² 9.000
3 3³ 27.00
4 3⁴ 81.00
One hundred people attended Nick’s game. 61 were adults and 39 were kids. There were 41 males and 59 females. Find the ratio of kids/total attendance
Answers
Answer:
The ratio would be 39:100.
Step-by-step explanation:
Is this table a function or not a function
Answers
Answer:
it is a function
Step-by-step explanation:
Answer:
NO It isn't a function
Step-by-step explanation:
To first find out if something is a function or not, you see is the any of the x values given are the same ans if they are, its automatically not a function. There are also other ways to find out if it is or isn't.
Suppose you intend to spend no more than $60 buying books. Hardback books costs $12 and paperbacks cost $5. How many books of each type can you buy
Answers
Answer:
You could either but 5 hardbacks or 12 paperbacks
Step-by-step explanation:
Answer:
I can buy at most 5 hardback books or 12 paperbacks.
Step-by-step explanation:
Let h be the number of hardback books and p the number of paperbacks.
[tex]12h+5p\leq 60[/tex]
If I don't buy any paperbacks, I can buy at most 5 hardbacks.
If I don't buy any hardbacks, I can buy at most 12 paperbacks.
i know that someone asked this question already but I'm kinda struggling to get it right tho, but could you guys give me a helping hand?
Answers
Answer:
B
Step-by-step explanation:
A: 42/2 = 21
B: 87.5/5 = 17.5
C: 147/7 = 21
only B is not 21
Answer my math question I asked so many times I lost most of points by
Answers
Jamal works as an electrician apprentice he rewired for electrical outlets for electrical outlets in 1 1/2 hours. If it worked at the same pace for 7.5 hours, how many outlets will he rewire?
5 outlets
13 outlets
20 outlets
30 outlets
Answers
Answer:
13
Step-by-step explanation:
they go at diffrent speed of electric.
help needed please solve
Answers
(a) 11.5 + 13.4 + 9.8 + 12.3 = 47 cm
(b) 19.8 + 15.7 + 11.5 + x = 55.3
Combine like terms and simplify
47 + x = 55.3
X = 8.3 cm
(c) 6x = 67.5
X = 11.25 cm
(d) c = 7.5x
7.5 * 8.95 = $67.13
Answer:
Step-by-step explanation:
a) Perimeter = sum of the length of the sides
= 13.4 +9.8 +12.3 +11.5
= 47 cm
b) Perimeter = 55.3 cm
11.5 + 15.7 +19.8 +x = 55.3
47 + x = 55.3
x = 55.3 - 47
x = 8.3 cm
c) Perimeter of regular hexagon = 67.5 cm
Length of one side = 67.5÷ 6
= 11.25 cm
d) Cost of 1 metre = $ 8.95
Cost of 7.5 metres = 8.95 * 7.5
= $ 67.125
is 21.5 x 103 in scientific notation? Explain.
Answers
Answer:
Scientific Notation:21.5*10^3
Standard Notation:21,500
Step-by-step explanation:
shhsgxjabahwhdsbsn d a
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Answer:
its not loading??
Step-by-step explanation:
-. Find the common difference for the arithmetic sequence: 36, 30, 24, 18.
Answers
43,425-125m+200m=45,000-150m
Solve For m
SHOW WORK
Answers
Answer:
its 1575/255 or 6.176470588
Step-by-step explanation:
8)
x + 24 - 9x = -8
Solve the equation
Answers
Answer:
x=4
Step-by-step explanation:
jus answered this
Answer:
X= +4
Step-by-step explanation:
[tex] - 8x + 24 = - 8 \\ - 8x = - 32 \\ x = \frac{ - 32}{ - 8} = + 4[/tex]
plz help me on this its due soon
Answers
5x subtract to 4x to give you 3=-1x
then you move the -1 to the other side to get 3/-1 = x
-3 = x
Answer: -3
Step-by-step explanation: I just know this from my previous questions in math.
so i think the answer is 16 , but I'm not sure
Answers
Answer:
Im pretty sure its 16 but please for the love of god wait for someone else to answer
what is the missing reason in the proof
Answers
Answer: converse of diagonals theroem ( A PEX )
how is perimeter measured?
A)Using the metric system
B)Cubic units
C)Linear units
D)Units squared
Answers
Perimeter is the linear distance around an object.
It is measured in c) linear units
Perimeter is measured in linear units .
Given,
Perimeter
So,
Perimeter is the linear distance around an object.
For example,
Perimeter of circle is 2πr which means that the region which is considered is outer region along the radius of the circle and complete one circle that is 2π .
Similarly,
Perimeter of square is 4a that means the square is covered along its side 4 times that is along the sides of square .
Thus
It is measured in linear units.
Learn more about perimeter,
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Find the the equation of the line passing through the points (3,3) and (4, 5)
Answers
Answer:
y = 2x - 3
Step-by-step explanation:
Given:
(3, 3) and (4, 5)
Solve:
Find the slope (m) between the two points:
m = (y2 - y1)/(y2 - 1)
(x1, y1) = (3, 3)
(x2, y2) = (4, 5)
m = (5 - 3)/(4 - 3)
= 2/1
m = 2
Slope-intercept form (y = mx + a):
y = 2x + a
To find a, plug in one of the points into the equation:
3 = 2(3) + a
3 = 6 + a
3 - 6 = a
a = -3
y = 2x - 3
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3 x minus 5 = negative 2 x + 10?
Answers
Answer:
C. –15 = –5x
Step-by-step explanation:
I did the test
In the diagram, which two angles must be supplementary with angle 6? 4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12. Angle 5 and Angle 7 Angle 1 and Angle 10 Angle 14 and Angle 16 Angle 7 and Angle 11
Answers
Answer:
The first one
Step-by-step explanation:
The peep above me is right.
The two angles must be supplementary with angles 6 will be 5 and 7.
What are lines and angles?An infinitely long row of evenly spaced dots that extends in both directions makes up a line. Its length is the only dimension it has. An illustration of a line is a horizontal mark made on a piece of paper. A figure made by two rays that intersect at the same endpoint is referred to as an angle.
Given that 4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16,
The supplementary angles to angle 6 are angle 5 and angle 7. Because two combinations of angles are having a sum of 180 degrees. The diagram is attached with the answer below.
To know more about lines and angles follow
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Alpha JKL has vertices J(-3,7), K(2,8), and L(-3, 12). Find the perimeter of AJKL to the nearest tenth.
Answers
Answer:
Alpha JKL has vertices J(-3,7), K(2,8), and L(-3, 12). Find ...brainly.com › Mathematics › High School
20 hours ago — Alpha JKL has vertices J(-3,7), K(2,8), and L(-3, 12). Find the perimeter of AJKL to the nearest tenth. - 18900060.
Step-by-step explanation:
Josh works for a construction company that uses 150 pounds of gravel for each driveway they pour. He can buy a dump truck load with 30,000 pounds of gravel or a pick-up truck load with 2,500 pounds. Which amount should he buy so that no gravel is left after all of the driveways are poured and why?
Answers
Answer:
Josh should by the dump truck with 30,000 pounds of gravel in it
Step-by-step explanation:
the easiest way to find this out is divide 30,000 and 2,500 by 150 and if the answer is a whole number, then you know that is the correct answer.
30,000/150 = 200
2,500/150 = 16.6666666666666
May I have brainliest please? :)