Find the area of the shaded region.
Round your answer to the nearest tenth. 120 degrees 6cm
Answers
If the area of a semicircle and an isosceles triangle is 56.55 cm² and 18 cm². Then the area of the shaded region will be 38.55 cm².
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Then the area of the shaded region will be given by the difference between the area of the semicircle and the area of the isosceles triangle.
The area of the shaded region will be
Shaded area = area of semicircle - area of isosceles triangle
Then the area of the semicircle will be
Semicircle area = π 6² / 2
Semicircle area = π36/2
Semicircle area = 56.55 square cm.
The area of the isosceles triangle will be
Isosceles triangle area = 2 × (1/2) × 6 × 6 sin30°
Isosceles triangle area = 6 × 6 × 0.5
Isosceles triangle area = 18 square cm
Then the area of the shaded region will be
Shaded area = 56.55 - 18
Shaded area = 38.55 square cm
More about the geometry link is given below.
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Related Questions
1. what are the amounts of interest and maturity value of a loan for 250,000.00 at 5.5% simple interest for 4 months?
Answers
the amount of maturity is 254583
Solve the equation: 12w=102.
Answers
Hey there!
12w = 102
DIVIDE 12 to BOTH SIDES
12w/12 = 102/12
SIMPLIFY IT!
w = 102/12
w = 102 ÷ 6 / 12 ÷ 6
w = 17 / 2
w = 8 1/2
Therefore, your answer should be:
w = 17/2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please Help Me !! ITS A MATH PROBLEM
Answers
Answer:
Step-by-step explanation:
Remark
You are trying to convert the base function f(x) = x^2 into the child function g(x) = -(x + 3)^2 + 5
UP
Start with the simplest part of the transformations. + 5
If you have g(x) = f(x)+5 what you have done is move the function up 5 units on your grid.
Up side Down
Next is the - sign.
f(x) = x^2
g(x) = - f(x) = - x^2
This has the affect of turning x^2 upside down. It looks like a cup opening towards the counter or down.
Left right
The last step is left / right. This is the hard one. It moves in the opposite direction that you think it should. x +3 moves the parabola left, not right. If you want it to move right, use (x - 3)
Graph
I have enclosed a graph to show you exactly what is going on. The red line is f(x)=x^2
The blue line is g(x) = -(x + 3)^2 + 5
label the quadrants IV
Answers
Answer:
Quadrant IV is always in the bottom right corner.
9. Find the midpoint of the segment having endpoints (2.9,−4.4) and (4.4,−2.9).
Answers
Answer:
midpoint: (3.65, -3.65)
Explanation:
[tex]\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]
where (x1, y1), (x2, y2) are points
[tex]\rightarrow \sf (\dfrac{2.9+4.4}{2}, \dfrac{-4.4-2.9}{2})[/tex]
[tex]\rightarrow \sf (\dfrac{7.3}{2}, \dfrac{-7.3}{2})[/tex]
[tex]\rightarrow \sf (3.65, \ - 3.65)[/tex]
PLEASE HELP ILL MARK BRAINEST!!!
Answers
Answer:
0,5
Step-by-step explanation:
Simplify each expression, and classify the result as rational or irrational.
Answers
The number 2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
= 2√5×3√6
= 6√30
= √1080 = 32.863353450309965
The number is irrational.
= √42/√168
= 1/2
The number is rational.
= 5(4√5 - 3√5)
= 5√5
= √125 = 11.180339887498949
The above number is irrational.
= √64/32
= 1/4
The above number is rational.
= (5√3—√3)/2√3
= 2
The above number is rational.
Similarly, we can find whether a number is irrational or rational
Thus, the number 2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.
Learn more about the irrational number here:
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Can someone help me
5b^2+4=10b
Answers
Answer:
b = 5 ± √5 / 5
Step-by-step explanation:
Given :
5b² + 4 = 10bSubtract 10b from both sides :
5b² - 10b + 4 = 10b - 10b5b² - 10b + 4 = 0Splitting the middle term :
b = 10 ± √100 - 4(5)(4) / 10b = 10 ± √20 / 10b = 10 ± 2√5 / 10b = 5 ± √5 / 5what is the essence of calculus?
*friendship
Answers
Differential Calculus, or Differentiation
If we have a function of one variable, ie of the form [tex]y=f(x)[/tex], then in its most basic form differentiation is the study of how a small change in one variable [tex]x[/tex] affects the other variable [tex]y[/tex].
As an real life example, consider the average speed of a moving car:
average speed = distance travelled/ time taken
Obviously, this is an average by definition, but if there existed a formal mathematical link between distance and time, could we build a function that would tell us the instantaneous velocity at every given moment? The study of differential calculus gives strategies for calculating the ratio of a little change in distance to a small change in time, and then calculating the real instantaneous speed by making the small change infinitely small.
Similarly if we wanted to find the gradient of the tangent to a curve at some particular point [tex]A[/tex] we would estimate the gradient by using a chord to a nearby point [tex]B[/tex]. As we move this nearby point [tex]B[/tex] closer to the tangent point [tex]A[/tex] the slope of the chord approaches the slope of the tangent with more and more accuracy. Again differential calculus provides techniques for us to make the point [tex]B[/tex] infinitesimally close to the point [tex]A[/tex] o that we can calculate the actual gradient of the tangent.
Integral Calculus, or Integration
Suppose we wanted to calculate the area under a curve, [tex]y=f(x)[/tex], bounded the [tex]x[/tex] =axis, and two points [tex]a[/tex] and [tex]b.[/tex] We could start by splitting the interval [tex][a,b][/tex] into [tex]n[/tex] regular strips, and estimating the area under the curve using trapezia (this is the essence of the trapezium rule which provides an estimate of such an area). If we increase [tex]n[/tex] then generally we would hope for a better approximation. The study of integration provides techniques for us to take an infinitely large number of infinitesimally small strips to gain an exact solution.
The Fundamental Theorem of Calculus
Given the above two notions, it would appear that there is no connection between them at first., The Fundamental Theorem of Calculus, on the other hand, is a theorem that connects the rate of change of the area function (which determines the area under a curve) to the function itself. In other words, the area function's derivative equals the function itself.
Visual for Fundamental Theorem of Calculus for integrals:
[tex]\int\limits^b_af {(x)} \, dx =F(b)-F(a).[/tex]
where F is an antiderivative of [tex]f[/tex]
Physics, Chemistry, all engineering sciences, statistics, economics, finance, biology, computer science, linguistics, to name but a few, are all areas that would be a desert without the use of calculus.
Leibnitz and Newton worked to define the velocity of a planet moving on a curved trajectory. That was not possible without calculus, and both had to invent differential calculus. Differential calculus allows to compare quantities along a curve, and thus their time rate of change.
All of classical physics can be summarized in this operation. Given second derivative (which is Force/mass), find the position as a function of time. This process is called integration. Half of calculus is made with integration, the other half with derivation. All of classical physics rests on these two parts of the calculus.
Quantum mechanics, quantum field theory, electromagnetism, fluid mechanics all use integration and derivation and much more. I rest my case. I hope this helps you gauge the place that calculus occupies in science.
Answer:
so what i think is that *friendshipStep-by-step explanation:
7 mi.
7 mi.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
4)
C =
miles
Answers
a^2 + b^2 = c^2
a and b are both legs of the right triangle and c is the hypotenuse.
The legs each measure 7 miles so…
7^2 + 7^2 = c^2
49 + 49 = c^2
98 = c^2
You then have to take the square root of 98 as c is still squared.
The square root of 98 is about 9.9
c is about equal to 9.9
Consider the line shown on the graph. Enter the
equation of the line in the form y = mx + b where m is
the slope and b is the y-intercept.
y=
Answers
From the graph, we concluded that line passes through the points (0, 3) and (1, 4) respectively.
So, slope of the line (m) passing through the points (a, b) and (c, d) is
m = d - b/ c - a
So, on substituting the values, we getm = 4 - 3 / 1 - 0 = 1/1 = 1
Also, line makes an intercept of 3 units in positive direction of y - axis.
So, c = 3
So, Equation of line is given byy = mx + c
y = 1 × x + 3
y = x + 3Alternative Method :-We know, Equation of line passing through the points (a,b) and (c, d) is given by
y - b = d - b / c - a (x - a)
Here,a = 0
b = 3
c = 1
d = 4
So, on substituting these values in above result, we get :-y - 3 = 4 - 3 /1 - 0 ( x - 0 )
y - 3 = 1/1 ( x - 0 )
y - 3 = x
y = x + 3Different forms of equations of a straight line :-1. Equations of horizontal and vertical lines
Equation of line parallel to x - axis passes through the point (a, b) is y = b.
Equation of line parallel to y - axis passes through the point (a, b) is x = a.
2. Point-slope form equation of lineEquation of line passing through the point (a, b) having slope m isy - b = m(x - a)
3. Slope-intercept form equation of lineEquation of line which makes an intercept of c units on y axis and having slope m is y = mx + c.
4. Intercept Form of LineEquation of line which makes an intercept of a and b units on x - axis and y axis respectively is x/a + y/b = 1.
5. Normal form of LineEquation of line which is at a distance of p units from the origin and perpendicular makes an angle B with the positive X-axis is x cosB + y sinB = p.
somebody please help me?
Answers
The events A and B are independent events, and the values of P(A) and P(B) are 7/12 and 1/2, respectively
The value of P(A)The event A is given as:
A : Sum greater than 6
In the sample space of a roll of two dice, there are 21 outcomes that are greater than 6, out of a total of 36 outcomes
This means that:
P(A) = 21/36
Simplify
P(A) = 7/12
The value of P(B)The event B is given as:
B : Sum is divisible by 2
In the sample space of a roll of two dice, there are 18 outcomes that are divisible by 2, out of a total of 36 outcomes
This means that:
P(B) = 18/36
Simplify
P(B) = 1/2
Hence, the probability values of P(A) and P(B) are 7/12 and 1/2, respectively
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6) three fourth of cars in a showroom are land rover , one half of land rover are black. what fraction of land rover are black?
Answers
Answer:
3/8
Step-by-step explanation:
(3/4)/2=3/8
How many yards is 6 inches
Answers
Answer: 6 inches equals 0.16666667 yards, or about 0.2 yards.
Step-by-step explanation: 1 yard equals 36 inches. By that reasoning, we can divide 6 by 36, since we are trying to find out how many yards are in 6 inches.
6/36 = 0.16666667
The answer is 0.16666667 yards, or about 0.2 yards.
A party favor is made up of four equal solids and is constructed from paper. each of the four solids is open at the end. the net represents one of the solids. a net of a solid has a square base with side lengths of 2 inches, and 4 triangular sides with a height of 3 inches. b is the base, and c, d, and a are the triangular sides. how much paper is needed to make a party favor? to calculate the surface area, you would exclude the area of face . one of the four pyramids has a surface area of in.2. one party favor, which consists of four of the equal solids, has a surface area of in.2.
Answers
The surface area of the solid is 4 + 6b
How to determine the area of the solid?The solid consist of the following shapes:
1 square of length 2 inches4 triangles of height 3 inches and base bThe area of the solid is:
Area = Area of square + 4 * area of triangle
This gives
Area = 2 * 2 + 4 * 0.5 * 3 * b
Evaluate
Area = 4 + 6b
Hence, the surface area of the solid is 4 + 6b
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It is recommended that one fire extinguisher be available for every 6,000 square feet inside a building. a school superintendent is working to determine the number of fire extinguishers needed for a school building that has a floor plan with 132,000 square feet. let the variable x represent the number of fire extinguishers.
Answers
bonjour je n'y arrive pas, quelqu'un pourrait m'aider s'il vous plaît ?
Answers
Answers:
BD = 6
AC = 7.5
=================================================
Work Shown:
BD/BA = BE/BC
x/9 = 4/6
6x = 9*4
6x = 36
x = 36/6
x = 6
BD = 6
---------
DE/AC = BE/BC
5/y = 4/6
5*6 = y*4
30 = 4y
4y = 30
y = 30/4
y = 7.25
AC = 7.5
One-third of the Socer training participants are four-fifths of the Dance training
students. Twelve Dance training students do not participate in the Soccer training.
What is the total number of students who participate in the Soccer training?
Answers
Answer:
There are a total of 144 students in soccer training.
Step-by-step explanation:
12x5=60
60-12=48
48=4/5
4/5=1/3
1/3 = 48
48x3= 144
-9<2x+1<5
A. -5
B. -4
C. 4>x>-3
D. 5>x>-2
Answers
Answer:
B
Step-by-step explanation:
1.
- 9 < 2x + 1
- 10 < 2x
X > - 5
2.
2x + 1 < 5
2x < 4
X < 2
An empty lorry weighs 3500kg. It weighs 7250 kg when loaded with 50 bags of coffee .What is the average mass of each bag ?
Answers
Answer:
The average mass of one coffee bag is 75kg.
Step-by-step explanation:
The lorry on its own weighs 3500kg.
If it weighs 7250kg alongside coffee bags, we can make the assumption that to find the total mass of the coffee bags, we must take the combined total and subtract the lorry's weight from it.
7250kg subtract 3500kg is 3750kg.
There are 50 coffee bags, so this is the mass of all 50.
If we want to find the mass of one coffee bag, we have to divide the mass of 50 coffee bags by 50.
3750kg divided by 50 is 75kg.
The average mass of one coffee bag is 75kg.
QUESTION 10 SOMEONE HELP ME
Answers
The value of the power is 64. Hope this helps!
Find the area of this circle. Use 3 for pi
Answers
Answer:
243 in²
Step-by-step explanation:
Diameter = 18 in
Radius ( r ) = Diameter / 2 = 18 / 2
r = 9 in
π = 3
To find : Area of circle ( A )
Formula : -
A = πr²
A = 3 x 9²
= 3 x 9 x 9
A = 243 in²
Solve the following system of equations algebraically.
x+y=27
y=x+3
*first person to get it right gets brainliest :)
Answers
Answer:
(x, y) = (12, 15)
Step-by-step explanation:
The given expression for y suggests that using substitution would be a good choice for the method of solution.
__
x +(x +3) = 27 . . . . substitute for y using the second equation
2x = 24 . . . . . . . subtract 3
x = 12 . . . . . . . divide by 2
y = 12 +3 = 15 . . . . use the second equation to find y
The solution is (x, y) = (12, 15).
Which expression could represent the phrase shown? (1 point)
"Add 4 and 5, divide the sum by 3, and then add the product of 6 and 5"
Group of answer choices
4 + 5 ÷ 3 + (6 x 5)
(4 + 5) ÷ 3 + 6 x 5
4 + (5 ÷ 3) + 6 x 5
4 + 5 ÷ (3 + 6 x 5)
Answers
Answer:
(4+5) ÷ 3 + 6 x 5
Step-by-step explanation:
pemdas
If x and y vary inversely and x = -9 when y = -30, what is the constant of variation
Answers
Answer:
270
Step-by-step explanation:
x = k/y This is an inverse relationship with k = constant of proportion (or variation)
-9 = k/(-30)
k = -9 * -30 = 270
Answer:
Constant of variation = 270.
Step-by-step explanation:
y = k/x
-30 = k / -9
k = -30 * -9
k = 270
A class contains 5 girls and 5 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?
Answers
Answer:
20/39.
Step-by-step explanation:
There are a total of 13 students.
Prob(Boy is selected) = 8/13
Prob(Girl is then selected) = 5/12
So probability ( Boy selected then a girl) = 8/13 * 5/12 = 10/39
- and the probability of Girl then a boy selected is also 10/39
So the required probability = 2 * 10/39
= 20/39.
which of the following is a true statement
Answers
Answer:
b
Step-by-step explanation:
[tex] = \frac{68}{5} - \frac{18}{5} \\ [/tex]
[tex] = \frac{50}{5} \\ [/tex]
Change into lowest term
[tex]10...[/tex]
A right rectangular prism has a base area of 20 cm? and a height of 9. 2 cm.
Answers
Answer:
the answer to this question is 184cm^2 because the formula to find the area for a rectangular prism is A= BH so we need to multiply 20 which is the base times 9.2 which is the height and when we do those steps of multiplying we get an answer of 184cm^2 so 184 cm^2 is hopefully the correct answer for this problem.
Step-by-step explanation: hopefully that is the correct and have a great day.
four points are always complanar if
Answers
Hope this helps you out!
73-74 express the limit as a definite integral.
73. [tex]\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{i^{4}}{n^{5}}[/tex] [hint: consider [tex]$f\mleft(x\mright)=x^4$.\rbrack[/tex]
Answers
Pull out a factor of 1/n from the summand and the result follows.
[tex]\displaystyle \lim_{n\to\infty} \sum_{i=1}^n \frac{i^4}{n^5} = \lim_{n\to\infty} \frac1n \sum_{i=1}^n \left(\frac in\right)^4 = \boxed{\int_0^1 x^4 \, dx}[/tex]
