49√3 = √3/4 a²
49×4 = a²
a = 7×2
a = 14 cm
Side of equilateral triangle = Side of square ABCD = 14cm
Area of square ABCD = a²
A = 14×14
A = 196 cm²
Now diameter of circle = side of square = 14cm
Radius = D/2 = 7 Cm
There are two half circle in the square = one whole circle
Area of circle = πr²
A = 3.14 ×7 ×7
A = 153.86
Area of yellow region = Area of square - Area of circle
Area of yellow region = 196 - 153.86 = 42.14 Cm²
The area covered by the yellow region (in cm²) in the given diagram is 42cm². The correct option is c.42
From the question, the area of the blue equilateral triangle in the given diagram is 49√3cm².
The area of an equilateral triangle can be calculated by finding half the product of the square of a side (all sides are equal in an equilateral triangle) and sin 60° (each interior angle of an equilateral triangle is 60°)
Hence, the area of the blue triangle is given by
[tex]A = \frac{1}{2}/AB/^{2}sin60\°[/tex]
Where A is the area
Therefore,
[tex]49\sqrt{3} = \frac{1}{2}/AB/^{2}sin60\°\\2 \times 49\sqrt{3} = /AB/^{2} \times \frac{\sqrt{3} }{2}[/tex]
[tex]2 \times2 \times 49\sqrt{3} = /AB/^{2} \times \sqrt{3}[/tex]
[tex]196 \sqrt{3} = /AB/^{2} \times \sqrt{3}[/tex]
∴ [tex]/AB/^{2} = \frac{196 \sqrt{3} }{\sqrt{3} }[/tex]
[tex]/AB/^{2} = 196[/tex]
∴ [tex]/AB/ = \sqrt{196}[/tex]
[tex]/AB/ = 14cm[/tex]
Hence, the length of a side of the square is 14 cm and the diameter of the circle is also 14 cm (since the length of a side of the square cuts the circle into equal halves, hence it is the diameter)
Area covered by the yellow region = Area of the square - ( sum of the areas of the two semicircles)
Sum of the areas of the two semicircles = Area of one circle
Area of a circle is given by the formula
[tex]A = \pi r^{2}[/tex]
But r = d/2
where r is radius and d is diameter
∴ r = 14/2 cm
r = 7cm
Hence
Area of the circle = [tex]\pi \times 7^{2}[/tex]
A = [tex]49\pi[/tex]
Taking π = 22/7
∴ A = [tex]49 \times \frac{22}{7}[/tex]
A = 154cm²
This is the sum of areas of the two semicircles
Now, for the area of the square
Area of the square = /AB/²
∴ Area of the square = 196 cm²
Now, as stated earlier,
Area covered by the yellow region = Area of the square - ( sum of the areas of the two semicircles)
∴ Area covered by the yellow region = 196 cm² - 154cm²
Area covered by the yellow region = 42cm²
Hence, the area covered by the yellow region (in cm²) in the given diagram is 42cm²
The correct option is c.42
Learn more on area of shapes here: https://brainly.com/question/24220654
Type the correct answer in each box. Use numerals instead of words.
This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?
Answer:
f(x) = 2x(x - 8)
f(x) = 2(x - 2)² - 8
Step-by-step explanation:
Let the equation of the quadratic function is,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the function.
From the graph attached,
Vertex of the parabola → (2, -8)
Therefore, equation of the function will be,
f(x) = a(x - 2)² - 8
Since, the graph passes through origin (0, 0),
f(0) = a(0 - 2)² - 8
0 = 4a - 8
a = 2
Equation of the given parabola will be,
f(x) = 2(x - 2)² - 8
= 2(x² - 4x + 4) - 8
= 2x² - 8x + 8 - 8
= 2x² - 8x
= 2x(x - 8)
Therefore, factored form of the function will be,
f(x) = 2x(x - 8)
What is the approximate area of the circle shown below? A. 2460 cm2 B. 44 cm2 C. 88 cm2 D. 616 cm2
Answer:
3.14(14)^2 = 615.44
colesest answer D
made three-point shots in her first game and in her second game. She also made two-point shots in each game. How many total points did score in the 2 games?
Answer:
the total no of points score in the 2 games is 10 points
Step-by-step explanation:
Given that
She made 3 points in her first game and her second game
Also, she made 2 point shots in each game
we need to find out the no of total points did she score in the 2 games
So,
The number of total points is
= 3 + 3 + 2 + 2
= 10 points
Hence, the total no of points score in the 2 games is 10 points
(Brainliest to whoever answers correctly) What is the area of the trapezoid?
Answer:
Area = 104
Step-by-step explanation:
In the middle, 8x10 = 80
We see that the two outside sides are both width of 3, height of 8.
We can do 8x3 = 24 to find both, so 80+24 = 104
Answer:
A = 104
Step-by-step explanation:
Find the scale factor of the similar shapes below.
Answer:
Its 3 cube INT and 14 cube INT
Your welcome
Step-by-step explanation:
What is the measurement of 40°
Answer:
80
Step-by-step explanation:
x by 2
which representation does not show y as a function of x?.
Answer:tbh i think the answer H
Step-by-step explanation:
Please Help!!!
What method would allow you find the area of the given triangle?
Answer:
the method we follow is area of the triangle is 12bh b is base and h is the height of the triangle
2. In 1990, there were 1,200 cell phone subscribers in a small-town of Stephenville. The number of subscribers increased by 75% per year after 1990. How many cell phone subscribers were in Stephenville in 1999?
Answer: [tex]184,724.153[/tex]
Step-by-step explanation:
Given
In 1990, there were 1200 cell phone subscriber in small town of stephenville
It is increasing by 75% per year after 1990
In year 1991 it is
[tex]\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)[/tex]
In year 1992 it is
[tex]\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2[/tex]
So, it is increasing as [tex]1200(1.75)^x[/tex]
where [tex]x=[/tex]no of years spent
After 9 years, it is
[tex]\Rightarrow 1200(1.75)^9=184,724.153[/tex]
HELP MEEE PLSSSS I WILL GIVE BRAINILIEST!
The vertices of a quadrilateral are M (-4,2) N (6,2) P (6,-4) O (-4,-4) find the area
The volume of a cylinder is given 235.5 ft cubed if the radius is given as 5ft find the height.plz help me
Answer:
3
Step-by-step explanation:
235.5=pi5^2h
solve for h by multiplying pi5^2 to get 78.5 then divide 235.5 by 78.5
What are the coordinates of the ride located 3.5 units away from the Merry-Go-Round and 1.25 units away from Roller Coaster 1? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer:
-1.5, 0.5
Step-by-step explanation:
Ben traveled 53.30 miles by bike , 18.23 miles by car and 52.62 miles by bus. What is the total distance that he traveled ?
Answer:
124.15 Miles
Step-by-step explanation:
53.30 + 18.23 + 52.62
677. Which of the following is a simplification of
(x2 + 4x + 4) = (x + 2)? a. x-2 b. x+4 C. x2 + 3x + 2 d. x+2
Answer:
peals palms penal pro predictive
thanks for the help guys
Answer:
Um.... Your welcome(confuse face), but also I see you got a bad grade. I wish I could've help you at least you would've gotten one answer right.
Step-by-step explanation:
The tortoise and the hare have a race.
The tortoise travels at a constant speed of 10 m per minute for the
whole of the 1 km race.
a) How long does the tortoise take to complete the race?
minutes
Answer: an hour and 40 minutes (100 minutes)
Step-by-step explanation:
will name the brainliest
Answer:
x = 622 (rounded to the nearest whole number value)
Step-by-step explanation:
=> Step 1: Solve for the base of top triangle;
Tan(39) = [tex]\frac{base1}{521}[/tex]
Tan(39) * 521 = base1
421.897 = base1
=> Step 2: Solve for the base of the bottom triangle;
Tan(21) = [tex]\frac{Base2}{521}[/tex]
Tan(21) * 521 = Base2
199.993 = Base2
=> Step 3: Finding x;
Base1 + Base2 = x
421.897 + 199.993 = x
621.89 or 622 = x
Hope this helps!
Solve: -7p^5(q^-3)r^2
Answer:
-
35r^2 p^5 over q^3
Step-by-step explanation:
I think it's right hope It helps
PLEASE HELPPPP
Willa rolls a l-6 cube once.
Part A: What is the probability WIlla rolls a number less than 4?
Part B: Willa then rolls the number cube a total of 25 times. The number 2 results 5 times. What type of probability theoretical or experimental, would be used to show the chances of a number 2 resulting on the next roll? Explain how you know.
Answer:
immma send you the link friend me on here
Step-by-step explanation:
Im doing an extra practice and need help with this one problem
Answer:
it might be this 8.74777778 im not sure if it is tho so if im wrong then im sorry
Step-by-step explanation:
What is the domain of y=log(x+2)
Answer:
[tex]\huge\boxed{x>-2\to x\in(-2;\ \infty)}[/tex]
Step-by-step explanation:
[tex]y=\log(x+2)\\\\\bold{Domain:}\\\\x+2>0\qquad|\text{subtract 2 from both sides}\\\\x+2-2>0-2\\\\x>-2[/tex]
Can someone pls help me ASAP!!
Answer:
5
Step-by-step explanation:
please please help me.I am so lost with this math
Answer:
[tex]6\sqrt{5}[/tex]
Step-by-step explanation:
In any right triangle, the Pythagorean theorem states:
[tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.
Plugging in given values, we have:
[tex]12^2+VU^2=18^2,\\144+VU^2=324,\\VU^2=180,VU=\sqrt{180}=\sqrt{36}\cdot \sqrt{5}=\boxed{6\sqrt{5}}[/tex]
Look at the triangular prism below. Each triangular face of the prism has a base of 3 centimeters (cm)and a height of 4 cm. The length of the prism is 12 cm.
What is the volume of this triangular prism?
Answer:
chupapi muñeño
Step-by-step explanation:
Answer:
144 cm?
Step-by-step explanation:
V
[tex]v = l \times w \times h \\ v =12 \times 4 \times 3 \\ v = 12 \times 12 \\ v = 144[/tex]
Write C if the figures are congruent, S if they are similar and N if they are neither congruent nor similar.
answer:
1. C
2. N
3. S
4. S
5. C
step-by-step explanation:
1 — the figures are the same so congruent2 — the figures are very different so neither3 — the figures look alike but not the same so similar4 — the figures look alike but not the same so similar5 — the figures are the same so congruentWhat is the length of SA?
Answer: 3 ft
Step-by-step explanation:
What would be the exponent of m if (m3)4
Answer:
16
Step-by-step explanation:
hope this helps
How many lines of symmetry does figure have
Simplify:
a+b
a-b
= [?]
a=5 and b=3
The value of the given expression will be 4.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression is as follows
[tex]=\dfrac{a+b}{a-b}[/tex]
a = 5 and b=3
[tex]=\dfrac{5+3}{5-3}=\dfrac{8}{2}=4[/tex]
Therefore the value of the given expression will be 4.
To know more about Expression follow
https://brainly.com/question/723406
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Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]3\sqrt{3}[/tex] = a
Step-by-step explanation:
We can solve this in 2 ways, The easier way would be:
Tan(60) = a/3
=> Tan(60) * 3 = a
=> [tex]3\sqrt{3}[/tex] = a
Hope this helps!