Pls help! Geometry
What is the perimeter of the shape above?
What is the area of the shape above?
Answers
(a) The arc length of each of the two smaller semicircles is [tex]4\pi[/tex], and the arc length of each of the two larger semicircles is [tex]15\pi[/tex]. Therefore, the perimeter is [tex]2(4\pi)+2(15\pi)=38\pi[/tex].
(b) The area of each of the smaller semicircles is [tex]\frac{1}{2}(\pi)(4^2)=8\pi[/tex], and the areaof each of the larger semicircles is [tex]\frac{1}{2}(\pi)(15^2)}=\frac{225\pi}{2}[/tex].
So, the combined areas of the four semicircles is [tex]241\pi[/tex].
The area of the rectangle is 60, so the total area is [tex]241\pi+60[/tex].
Related Questions
Find the non-extraneous solutions of the square root of the quantity x plus 6 minus 5 equals quantity x plus 1
Answers
The non-extraneous solutions are -6 and -5.
How to find non-extraneous solutions?By checking these solution values in the original equation.
[tex](x+6)^{1/2}-5=x+1\\(x+6)^{1/2}=x+6\\((x+6)^{1/2})^2=(x+6)^2\\x+6=x^2+12x+36\\0=x^2+11x+30\\(-11+(11^2-4(1)(30))^{1/2})/2\\(-11+((1)^{1/2})/2\\(-11+1)/2=-5\\(-11-1)/2=-6\\((-6)+6)^{1/2}-5=(-6)+1\\(0^{1/2})-5=-5[/tex]
Thus, -6 is non-extraneous.
[tex]((-5)+6)^{1/2}-5=(-5)+1\\(1^{1/2})-5=-4\\1-5=-4\\-4=-4[/tex]
Thus, -5 is non-extraneous.
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In a recent year, 27.2% of all registered doctors were female. If there were 55,900 female registered doctors that year, what was the total number of registere doctors? Round your answer to the nearest whole number. In a recent year , 27.2 % of all registered doctors were female . If there were 55,900 female registered doctors that year , what was the total number of registere doctors ? Round your answer to the nearest whole number .
Answers
it's B why they need me to write something long the answer is ez B
Step-by-step explanation:
it f common sense
Renee is correct. The equations are the same when the line goes through the origin. y = mx + b is a more general form of y = mx.
If the line goes through the origin, then b = 0, so y = mx + b is y = mx + 0 or y = mx.
Answers
The equations are the same when the line goes through the origin. y = mx + b is a more general form of y = mx. Therefore, Renee is correct.
The given statement is "The equations are the same when the line goes through the origin. y = mx + b is a more general form of y = mx".
What is the origin?The point where the reference axes in a coordinate system meet. The values of coordinates are normally defined as zero.
The equation of the line is y = mx + b.
If the line goes through the origin, then b = 0, so y = mx + b is y = mx + 0 or y = mx.
The equations are the same when the line goes through the origin. y = mx + b is a more general form of y = mx. Therefore, Renee is correct.
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Simplify the expression.
Answers
[tex]\huge\boxed{4x}[/tex]
Start by simplifying the power.
[tex](5x)^3=5^3x^3=125x^3[/tex]
[tex]\dfrac{500x^4}{125x^3}[/tex]
Cancel out the common factor of [tex]125[/tex].
[tex]\dfrac{4x^4}{x^3}[/tex]
Finally, cancel out the common factor of [tex]x^3[/tex].
[tex]\boxed{4x}[/tex]
Two parallel lines are cut by a transversal. What is the measure of angle 6?
Answers
[tex]\huge\boxed{\textsf{D.}\ 57^\circ}[/tex]
We know that angles 1 and 2 are supplementary angles that add up to 180 degrees.
Solve for angle 2:
[tex]\begin{aligned}\angle1+\angle2&=180^\circ\\123^\circ+\angle2&=180^\circ\\123^\circ-123^\circ+\angle2&=180^\circ-123^\circ\\\angle2&=57^\circ\end{aligned}[/tex]
We also know that angles 2 and 6 are corresponding angles, so they are equal to each other. This means that angle 6 is also 57 degrees.
For more information on this topic, search the Internet. There are many great resources on transversal lines and angles out there that expand on the few details I shared here.
Can anyone explain this answer, I'll give brainliest.
Where does the 0.693 and 2.303 come from?
Answers
The constants 0.693 is the natural log of 2 and the constant 2.303 is the multiplicative factor of converting log of a number to the natural log of that same number.
What are 0.693 and 2.303 used for?It follows from the task content that the calculation involves the use of the half-life of radioactive materials formula.
Hence, the constant 0.693 is the real number value of ln(2). Additionally, the constant 2.303 as used by convention is used to convert log value of a number x to its natural log value. Hence,. it follows that the relation which holds true is; ln(x) = 2.303 × log(x).
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find the measure of the exterior angle x
Answers
The measure of the exterior angle x is 90°.
We need to find the measure of the exterior angle x.
What is the exterior angle theorem formula?An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
Now, x°=∠A+∠B
⇒x°=30°+60°=90°
Therefore, the measure of the exterior angle x is 90°.
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Evaluate the fraction for x = 0. (x-1)² (1-x)² 01 0-1 02
Answers
Evaluating the given algebra fraction (x - 1)²/(1 - x)² at x = 0 gives; 1
How to Evaluate Algebra Fractions?
We want to evaluate the algebra fraction;
(x - 1)²/(1 - x)² at x = 0.
Now, let us first break down the expression to get;
[(x - 1) * (x - 1)]/[(1 - x) * (1 - x)]
At x = 0, we have;
[(0 - 1) * (0 - 1)]/[(1 - 0) * (1 - 0)]
⇒ (-1 * -1)/(1 * 1)
⇒ 1
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why is the derivative of a constant zero
Answers
A constant function is exactly that - constant - meaning it exhibits no change whatsoever with respect to any change in its input. If [tex]f(x) = 1[/tex], then it doesn't matter what value of [tex]x[/tex] I give you, the value of [tex]f(x)[/tex] will always be nothing other than 1.
That the derivative of such a function is zero follows immediately from the definition of the derivative. If [tex]c\in\Bbb R[/tex] and [tex]f(x) = c[/tex], then
[tex]f'(x) = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0} \frac{1 - 1}h = \lim_{h\to0}\frac0h = 0[/tex]
In isosceles ∆ABC, points M and N belong to base
BC
so that BM = CN. Prove:
∆BAM ≅ ∆CAN
∆AMN is an isosceles triangle.
Answers
From the statements and reasons given below as regards the Isosceles Triangle, we have been able to prove that; ∆BAM ≅ ∆CAN
How to prove an Isosceles Triangle?Isosceles Triangle means that two sides of the triangle are equal and also 2 angles are equal.
Now, we are told that triangle ABC is an Isosceles and as such, AB and AC are congruent.
We are given that BM and NC are congruent. Now, due to the fact that Triangle AMN is an isosceles triangle, it means that the sides AM and AN are congruent to each other.
Thus, from the proofs above and from the definition of the isosceles Triangle, we can say that triangles BAM and CAN are congruent.
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Answer & Step-by-step explanation:
To prove ∆BAM ≅ ∆CAN:
1. Given that ∆ABC is an isosceles triangle with base BC, and BM = CN, we know that AB = AC.
2. Using the Side-Angle-Side (SAS) congruence criterion, we can show that ∆ABM and ∆ACN are congruent.
3. Therefore, corresponding angles ∠BAM and ∠CAN are congruent.
4. Similarly, ∠BMA and ∠CNA are congruent.
5. By showing that corresponding angles in ∆ABM and ∆ACN are congruent, we can conclude that ∆BAM ≅ ∆CAN.
To prove ∆AMN is an isosceles triangle:
1. From the given information, we know that BM = CN.
2. By proving ∆BAM ≅ ∆CAN, we have shown that ∠BAM ≅ ∠CAN.
3. Since ∠BAM and ∠CAN are congruent, we can conclude that ∠BAN ≅ ∠CAM using the Transitive Property of Congruence.
4. By establishing that ∠BAN ≅ ∠CAM, we can conclude that ∆AMN is an isosceles triangle because it has two congruent angles.
I NEED THE ANWERS QUICK PLS THANK YOU
Answers
Answer:
76 sqcm.
Step-by-step explanation:
2(5 x 2) + 2(5 x 4) + 2(4 x 2) = 2(10) + 2(20) + 2(8)
= 20 + 40 + 16
= 76
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region.
Answers
The area of the shaded region is 29.5 square yards.
The following calculations are to be done:
Area of the triangle:
Base of the triangle is
= 5 + 4
= 9 yard.
Height of the triangle = 6 + 5
Height of the triangle= 11 yards.
The area of the triangle is,
[tex]\ Area \ of \ the\ rectangle=\frac{1}{2} \times height\times base[/tex]
[tex]\ Area \ of \ the\ rectangle=\frac{1}{2}\times 9\times 11[/tex]
= 49.5 square yards.
What is the formula for the area of a triangle?Area of the rectangle:
[tex]=Length\times width[/tex]
[tex]=4\times 5[/tex]
= 20 square yards.
Now finally the shaded region should be
= 49.5 square yards - 20 square yards
= 29.5 square yard
Therefore we can conclude that the area of the shaded region is 29.5 square yards.
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For a normally distributed data set with a mean of 830 and a standard deviation of 96.7, calculate the z-score for a
data point of 915.
Answers
Round this however your teacher instructs.
=================================================
Work Shown:
mu = 830 = mean
sigma = 96.7 = standard deviation
x = 915 = given raw score we want to convert
z = (x - mu)/sigma
z = (915 - 830)/(96.7)
z = (85)/(96.7)
z = 0.8790072 approximately
Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10 meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second.
ANSWER:
CORRECT (SELECTED)
Josiah's distance from the starting line at a time when he is behind Chana
Point F is on line a, so it does represent Josiah's distance at a certain time. Also, point F is below line b, so it represents a distance that is less than Chana's distance.
Answers
Point F is on line a, so it does represent Josiah's distance at a certain time. Also, point F is below line b, so it represents a distance that is less than Chana's distance. This is a distance-time graph problem.
What is the proof for the above?
Recall that Josiah had a head start of 10 meters and he skates at 2 meters per second.
Since Y is the function that represents the distance in meters from the finished line, by observation, it is clear to see that all the factors that are related to his race are adequately represented in:
y = 10 + 2x
Where 10 is the head start in meters
2 is the rate at which he skates per second; and
x is the unknown amount of time in seconds.
Given that the point F sits over 25 seconds,
that is F(y) = 10 + 2 * 25
= 60 meters.
Hence, Point F is on line a, so it does represent Josiah's distance at exactly 25 seconds.
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Which expression is a non-real complex number?
-4 +√7
3
1 + √²
5-√15
27
28
Answers
The expression that represents a complex number is the one in the second option.
[tex]\frac{2}{3} + \sqrt{-\frac{27}{28} }= \frac{2}{3} + \sqrt{\frac{27}{28} } i\\[/tex]
Which expression is a non-real complex number?Remember that the complex number i is given by:
[tex]i = \sqrt{-1}[/tex]
So we have complex numbers when we have negative arguments inside of square roots.
In this particular case, the only option with a negative argument on a square root is on the second option:
[tex]\frac{2}{3} + \sqrt{-\frac{27}{28} } \\\\\frac{2}{3} + \sqrt{-1} *\sqrt{\frac{27}{28} } \\\\\frac{2}{3} + \sqrt{\frac{27}{28} } i\\[/tex]
We conclude that the correct option is the second one.
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Answer:
(2)/(3)+\sqrt(-(27)/(28))
Step-by-step explanation:
Plato/Edmentum
Solve for t in this equation and show steps please d = vt + 1/2(a)(t^2)
Answers
This is a quadratic equation in the variable t, which can be solved by using the quadratic formula.
t = [-v ± √(v2 - 4(1/2)(a)(-d))]/(2(1/2)(a))
= [-v ± √(v2 + 2ad)]/a
Find the value of x.
x = 2
x = 3
x = 33
x = 52
Answers
x=3
x f(x)
0 24
1 12
2 6
3 3
Answers
The table represents an exponential function given by:
[tex]f(x) = 24*(1/2)^x[/tex]
Is the function exponential or quadratic?Here we have the table:
x f(x)
0 24
1 12
2 6
3 3
First, notice that for each unit that x increases, the value of f(x) decreases by its half.
This is clearly an exponential equation, whose base must be equal to (1/2).
And because when x = 0, f(0) = 24, we know that the initial value of the function is 24.
Then the exponential function is:
[tex]f(x) = 24*(1/2)^x[/tex]
Such that:
[tex]f(0) = 24*(1/2)^0 = 24\\\\f(1) = 24*(1/2)^1 = 12\\\\f(2) = 24*(1/2)^2 = 24*(1/4) = 6\\\\f(3) = 24*(1/2)^3 = 24*(1/8) = 3[/tex]
Concluding, the table represents an exponential function.
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Solve the following equation for m.
F=mv^2 / r
Answers
Answer:
Step-by-step explanation:
F = [tex]\frac{mv^2}{r}[/tex]
mv² = Fr
m = [tex]\frac{Fr}{v^2}[/tex]
What is the value of "y" that satisfies the expression below?
5 y + 14 = 9 ( 3 y + 1 )
Round your answer to 2 decimal points (i.e. #.##)
Answers
Answer:
0.23
Step-by-step explanation:
5y+14=27y+9
14-9=27y-5y
5=22y
dividing through by 22
y=0.23
Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 10 in, the width measures 5 in, and the height measures 3 in, how much wrapping paper does he need to cover the shoebox?
Answers
The amount of wrapping paper he need to cover the shoebox is 190 square inches
Surface area of a boxThe formula for calculating the surface area of a box is expressed as:
SA = 2(lw + wh + lh)
where
l is the length
w is the width
h is the height
Given the following parameters
l = 10in
w = 5in
h =3in
Substitute
S = 2(10*5 + 5*3 + 10*3)
S = 2(50+15+30)
S = 2(95)
S = 190 square inches
Hence the amount of wrapping paper he need to cover the shoebox is 190 square inches
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what is w? 11w= 12 please be quick with the response.
Answers
Answer:
1.090909090909091
Step-by-step explanation:
12/11 = 1.090909090909091
W = 1.090909090909091
Answer:
w = [tex]\frac{12}{11}[/tex]
Step-by-step explanation:
11w = 12 ( isolate w by dividing both sides by 11 )
w = [tex]\frac{12}{11}[/tex]
Melissa's mother asked her to buy a gallon of milk at the store. The store only had quarts of milk. How many quarts of milk does Melissa need to buy?
Answers
Answer:
4 quarts of milk
Step-by-step explanation:
4 quarts = 1 gallon
so, melissa needs to buy 4 quarts
Find f(2) and f(a + h) when f(x) = 3x2 + 2x + 4.
Answers
Step-by-step explanation:
[tex]f(x) = 3 {x}^{2} + 2x + 4[/tex]
[tex] \: [/tex]
[tex]f(2) = 3. {2}^{2} + 2.2 + 4[/tex]
[tex]f(2) = 3.4 + 4 + 4[/tex]
[tex]f(2) = 12 + 8[/tex]
[tex]f(2) = 20 \\ [/tex]
[tex] \: [/tex]
[tex]f(a + h) = 3 {(a + h)}^{2} + 2.(a + h) + 4[/tex]
[tex]f(a + h) = 3( {a}^{2} + 2ah + {h}^{2} ) + 2a + 2h[/tex]
[tex]f(a + h) = 3 {a}^{2} + 6ah + 3 {h}^{2} + 2a + 2h + 4[/tex]
[tex]f(a + h) = 3 {a}^{2} + 3 {h}^{2} + 6ah + 2a + 2h + 4[/tex]
Dont Really need explanation Simply answer Just I didn’t understand Maybe I can get help
Answers
Based on the calculations, Tart & Sweet's total profit from April to June is equal to -2 dollars.
What is a bar chart?A bar chart can be defined as a type of chart that is used for the graphical representation of a data set, especially by using rectangular bars or vertical columns.
In order to determine Tart & Sweet's total profit, we would simply add the amount of money (in dollars) generated from April to June as follows:
April = -8.May = 2.June = 4.Total profit = -8 + 2 + 4
Total profit = -$2.
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a. Write an ordered pair: (t, value), in which t is time from purchase and value is the current value of the car. In this case, it would be (0, Total Cash Price).
3. Find the amount of depreciation in 1 year. Determine the average rate of change (slope) in one year.
a. Write an ordered pair for the 1 - year value, which is (1, value after 1 year).
4. Find the total depreciation after 5 years.
a. Write an ordered pair for the 5 - year value, which is (5, value after 5 years).
5. Determine the following two average rates of change (slope) in the value of the car.
a. Average rate of change over 1 year
b. Average rate of change over 5 years
6. What is the practical meaning of the average rate of change over 5 years?
Answers
The value of the car decreases by $1430 per year over 5 years
The initial ordered pairThe given parameters are:
Total Cash Price: $13,7551 year depreciation: $1,811So, the ordered pair is (0, 13,755)
The amount in depreciation after 1 yearIn (a), we have:
Total Cash Price: $13,7551 year depreciation: $1,811The difference in the amounts is
Difference = 13755 - 1811
Difference = 11944
So, the ordered pair is (1, 11,944)
Total depreciation after 5 yearsWe have:
5 year depreciation = $7,150
The difference in the amounts is
Difference = 13755 - 7150
Difference = 6605
So, the ordered pair is (5, $6,605)
Average rates of changeThis is calculated as:
m = (y2 - y1)/(x2 - x1)
Over 1 year, we have:
m = (13,755-11,944)/(0-1)
m =-1811
Over 5 years, we have:
m = (13,755-6605)/(0-5)
m =-1430
The meaning of the average rate of change over 5 yearsThe average rate of change over 5 years is -1430
This means that the value of the car decreases by $1430 per year
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Missing information in the question
Total Cash Price: $13,755
1 year depreciation: $1,811
5 year depreciation: $7,150
look at this system of exquations. y=2x-1 4x +y=2 which shows a correct step using substitution to solve the system of equations?
Answers
The solution to the system of equations is x = 0.5, y = 0
How to solve the system of equations?The system of equations is given as:
y = 2x-1
4x + y=2
Substitute y = 2x-1 in 4x + y=2
4x + 2x-1 =2
Evaluate the like terms
6x = 3
Divide by 6
x = 0.5
Substitute x = 0.5 in y = 2x-1
y = 2 * 0.5 - 1
Evaluate
y = 0
Hence, the solution to the system of equations is x = 0.5, y = 0
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Find the equivalent fraction of 12/25 having a.n=60 and b.
Answers
The equivalent fraction of 12/25 is 24/50
How to determine the equivalent fraction?The fraction is given as:
Fraction = 12/25
Multiply the fraction by 1
Fraction = 12/25 * 1
Express 1 as 2/2
Fraction = 12/25 * 2/2
Evaluate the product
Fraction = 24/50
Hence, the equivalent fraction of 12/25 is 24/50
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In the diagram, line I and line m are parallel lines cut by transversal n.
b
a
n
m
Answers
The measure of both the interior angles are 70 and 110 degree.
What are Parallel Lines ?Lines they never intersect with each other and the distance between them always remains same are called parallel lines.
It is given that
Line l and m are parallel lines and are intersected by a transversal ,n
Interior angles of the same side are (2x−8) degree and (3x−7) degree
Applying the property of interior angles of parallel lines
2x -8 + 3x - 7 = 180 degree
5x -15 = 180
5x = 195
x = 39 degree
Both the angles have measure of
2 * 39 - 8 = 70 degree
3 * 39 -7 = 110 degree
Therefore the measure of both the angles are 70 and 110 degree.
The complete question is
Two parallel lines l and m are cut by a transversal n . If the interior angles of the same side of n are (2x−8) degree and (3x−7) degree , find the measure of each of these angles.
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Identify the type of sequence and write the recursive rule −1,−2,−4,−8,
Answers
c) b=5.1 m, c=12.3 m, a=[1] m