The W represents the incerter of the triangle. Then the correct option is D.
The missing diagram is given below.
What is incenter?The intersection of the line which is bisector of the angles of the triangle is known as incenter.
The diagram shows & TUV.
And the bisector line of the angle intersect at W.
Then the W represents the incerter of the triangle.
Then the correct option is D.
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For what value of Θ is cotΘ undefined?
0°
180°
270°
The value of such that = k * 180, where k is an integer, is the value at which cotangent is undefinable.
Cotangent, or cot, is one of the six standard trigonometric functions. Cotangent of an angle is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.
The value of cotangent is undefined when the denominator is zero. This implies that cotangent is undefined at angles where the value of sine is zero.
Since the sine function is periodic and has a period of 360 degrees, the values of sine repeat themselves after every 360 degrees.
For this reason, cotangent is undefined at angles such that θ = k * 180, where k is an integer.
That is, cotangent is undefined at 0°, 180°, 360°, and so on. It is also important to note that cotangent is a periodic function, and its values repeat every 180 degrees.
Therefore, cotangent is undefined at 0° + k * 180°, where k is an integer.
To summarize, the value of Θ at which cotangent is undefined is such that θ = k * 180, where k is an integer.
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Clarence walks 3.1 miles around Lake Johnson every day for five days.
If it takes him a total of 6 hours to walk the 15.5 miles, what is his
average time per day?
minutes per day.
Answer:
Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day
Step-by-step explanation:
To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.
Let's calculate his average time per day:
Average time per day = Total time / Number of days
Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:
Average time per day = 6 hours / 5
Average time per day = 1.2 hours per day
To convert hours to minutes, we'll multiply the average time per day by 60:
Average time per day = 1.2 hours * 60 minutes
Average time per day = 72 minutes per day
Therefore, Clarence's average time per day is 72 minutes.
Find the approximate values of the five-number summary for the data set represented by this box plot.
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Answer:
Minimum: 0
Quartile Q1: 22.5
Median: 50
Quartile Q3: 77.5
Maximum: 100
Step-by-step explanation:
Find the distance between −340 and 207 on the number line.
Answer:
547
Step-by-step explanation:
To find the difference between the 2 numbers, subtract -340 from 207:
207 - (-340)
Subtracting a negative number will change to adding a positive number:
207 + 340
= 547
So, the distance is 547
make p the subject of a=p-2b
2
Answer:
p= a +2b
Step-by-step explanation:
Making p the subject of the equation means that we need to arrive at the final answer of p= ____.
a= p -2b
a +2b= p (+2b on both sides)
p= a +2b
In Ronna’s class, the ratio of boys to girls is 2:3. In Suzie’s class, there are half as many girls as in Ronna’s class. If there are 12 boys in Ronna’s class, how many girls are in Suzie’s class?
Answer:
4
Step-by-step explanation:
2:3
4:6
6:9
8:12
8 girls in Ronna’s class
Half of 8 is 4
Suppose that an individual has a body fat percentage of 12.7% and weighs 132 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answer:
just go with your heart
Find the volume of a pyramid with a square base, where the perimeter of the base is
10.3
m
10.3 m and the height of the pyramid is
15.1
m
15.1 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
33.4 m^3
Step-by-step explanation:
The edge length of the base is 1/4 of the perimeter, so is ...
(10.3 m)/4 = 2.575 m
Then the area of the base is the square of this, or ...
B = (2.575 m)^2 = 6.630625 m^2
The volume is ...
V = (1/3)Bh = (1/3)(6.630625 m^2)(15.1 m) ≈ 33.4 m^3
The volume of the pyramid is about 33.4 cubic meters.
answer the following...
Jay is hanging 160 feet of Christmas garland on the three sides (two on the width and one on the length) of fencing that enclose his rectangular front yard. The length is eight feet less than four times the width. Find the length and width of the fencing.
The length of the fencing is 62.4 feet.
The width of the fencing is 17.6 feet.
Given,
The measurement of the Christmas garland = 160 feet
The width of the fencing = w
The length of the fencing, l = 4w - 8
We have to find the length and width of the fencing.
Here,
Perimeter can be taken as 160. Because garland will cover the entire fencing.
Perimeter = 2(l + w)
160 = 2(4w - 8 + w)
160 = 2(5w - 8)
160/2 = 5w - 8
80 + 8 = 5w
88/5 = w
width = 17.6 feet
Now,
l = 4w - 8
l = 4 × 17.6 - 8
l = 70.4 - 8
length = 62.4 feet
That is,
The length of the fencing is 62.4 feet.
The width of the fencing is 17.6 feet.
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A square has a triangular hole in it. What is the area of the figure?
9 in. 3 in.
76.5 in 2
89 in 2
72 in 2
3 in.
9 in.
Answer:
76.5in²
Step-by-step explanation:
First we will find the area of the square. This is done by multiplying the side length (9in) by itself.
\(9 * 9 = \boxed{81}\)
The area of the square is 81in².
Next we will find the area of the triangular hole. We can use the formula \(\frac{1}{2}bh\), where b is the base of the triangle (3) and h is the height of the triangle (3).
\(\frac{1}{2}bh\\\frac{1}{2}(3)(3)\\\frac{9}{2}\\\boxed{4.5}\)
The area of the triangle is 4.5in².
Now we can find the area of the figure by subtracting the area of the square and the area of the triangular hole.
\(81 - 4.5 = \boxed{76.5}\)
The area of the figure is 76.5in².
That is the answer
- Kan Academy Advance
Take home pay is equal to blank
Answer:
asdfghjk
Step-by-step explanation:
Answer:
OH YEAH YOOO
Step-by-step explanation:
HOW MANY FAMILYS DIES A SODIUM HAVE?
A ____ prism has two congruent, parallel bases and three lateral sides.
a.) triangle
b.) pentagon
c.) rectangle
Me and Skid believe the awnser is A, Triangle!
A triangular prism has two congruent, parallel bases and three lateral sides.
What is a prism?
A prism is a polyhedron that has two n-sided bases and n number of lateral sides. Those two bases are exactly the same.
A pentagon and a rectangle are two dimensional figures. Hence, there are neither parallel bases nor lateral sides. Whereas a prism is a three dimensional figure consists of two congruent, parallel bases and three lateral sides.
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Gary has four times as many points as Frank. Evan has five times as many as Frank. Dave is two times as many as Frank. altogether they have a total of 1,260 points
Answer:
the answer to this would be 114 i think sorry is im wrong
Step-by-step explanation:
(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified
The simplified form of the expression is \(-32\).
To simplify the expression, we can perform the calculations written below step by step:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)
We follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify within parentheses:
\(\(4+6 = 10\)\).
Step 2: Perform multiplications and divisions from left to right:
\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).
Step 3: Evaluate the remaining additions and subtractions:
\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).
Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)
When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.
Finally, review the simplified expression to ensure accuracy and validity within the given context.
Note: The complete question is:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.
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The area of a rectangle is 117 square meters. The length is represented by 4+x and the width is
represented by x. What is the length of the rectangle?
The length of the rectangle is 13 meters.
Given that,
The area of a rectangle is 117 square meters.The length is represented by 4+x and the width is represented by x.We know that
The following formula should be used:
\(Area = length\times width\\\\117m^2 = (4+x) \times (x)\\\\117m^2 = 4x + x^2\\\\4x + x^2 - 117 = 0\\\\x^2 +4x - 117\\\\x^2 -9x +13x - 117\\\\x (x - 9) + 13(x - 9)\\\\(x + 13) (x - 9)\)
x = 9
So, the length should be
= 4 + 9
= 13
Therefore we can conclude that the length of the rectangle is 13 m.
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Surface area of 15 yd
Surface area is, \(225\pi (yd^{2})\) or \(706.86(yd^{2})\) .
Step-by-step explanation:1. Identify the shape of the surface area of which we need to calcuiate the area.As we may see in the image, the surface area has the shape of a circle.
2. Recall the area formula for circles.Formula: \(A=\pi r^{2}\); where "r" is the radius of the circle.
3. Identify the given data.As we can see in the image, the radius of this circle is 15 yd (yards).
4. Use the data and calculate with the formula.\(A=\pi (15yd)^{2}\\ \\A=225\pi (yd^{2}) =706.86(yd^{2})\)
5. Conclude.Surface area is, \(225\pi (yd^{2})\) or \(706.86(yd^{2})\) (706.86 square yards).
3. A rectangle is 8cm longer than it is wide. If its width is x cm and its area is 84cm², form an equation in x and solve it. Hence find the dimensions of the rectangle.
Answer:
x = 6
Step-by-step explanation:
let x = the width
let x + 8 = the length
Area = w times l
84 = 14 x 6
width = 6
length = 6+8
= 14
-4.5t + 11.75 = 20.75
WITH STEPS
Estimate the solution to the following system of equations by graphing
3x+5y=14
6x - 4y=9
Answer choices:
• (5/2, 4/3)
• ( 4/3, 5/2)
• ( 7/3 , -7/2)
• (-5/2 , -7/2)
The solution of Equation are (5/2, 4/3).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3x+5y=14..........(1)
6x - 4y=9..............(2)
Solving equation (1) and (2) we get
3x + 5y = 14
Subtract 3x from both sides.
5y = 14 - 3x
Divide by 5 on both sides.
y = -3/5x + 14/5
and, 6x - 4y = 9
Subtract 6x from both sides.
-4y = 9 - 6x
Divide by -4 on both sides.
y = 3/2x - 9/4
From the graph we get
x = 2.405
y= 1.375
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Write these fractions as whole nombers
8/4
21/3
56/8
48/8
Answer:2, 7, 7, 6
Step-by-step explanation:
Answer:
1) 8/4 = 2
2) 21/3 = 7
3) 56/8 = 7
4) 48/8 = 6
Step-by-step explanation:
To convert a fraction into a whole number: Divide the numerator by the denominator.
What's a numerator?:
A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.
What's a denominator?:
A denominator is the bottom number in a fraction. So, 4 in 8/4 is the denominator.
1) 8/4 = 8 divided by 4 = 2.
2) 21/3 = 21 divided by 3 = 7
3)56/ 8 = 56 divided by 8 = 7
4) 48 / 8 = 48 divided by 8 = 6
This diagram shows the blue prints a contractor drew for a ramp. In order for the ramp to meet safety regulations, the angle created by the bottom of the ramp and the ground should be no more than 18°.
How many degrees should the contractor lower the ramp by in order to meet safety regulations?
Enter your answer, rounded to the nearest tenth, in the box.
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
We have,
To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.
In the given triangle, the height is 6 ft and the base is 16 ft.
The angle we want to find is opposite the height (let's call it θ).
The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.
sin(θ) = opposite/hypotenuse
sin(θ) = 6/16
sin(θ) = 0.375
To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:
θ = arcsin(0.375)
θ ≈ 22.62°
To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:
22.62° - 18° ≈ 4.62°
Thus,
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
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I do not understand this question please help me
The domain in interval notation is [-1, 3].
The domain in compound inequality is -1 ≤ x < 3.
The range in interval notation is [-5, 3].
The range in compound inequality is -5 < y ≤ 3.
What is a domain?In Mathematics, a domain is the set of all real numbers for which a particular function is defined.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-1, 3] or -1 ≤ x < 3.
Range = [-5, 3] or -5 < y ≤ 3.
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4 lines are shown. One line contains points F, E, A. 3 lines come out of point E. One line goes to point D, another line goes to point B, and another line goes to point C. Angles B E C and B E A are congruent.
Which statement is true about the diagram?
∠DEF is a right angle.
m∠DEA = m∠FEC
∠BEA ≅ ∠BEC
Ray E B bisects ∠AEF.
Answer:
C. ∠BEA ≅ ∠BEC
Step-by-step explanation:
on edge 2021
Answer:
c
Step-by-step explanation:
what to do with this question
Answer:
Frequency: 244
relative frequency: 0.61
Step-by-step explanation:
check: 60:244 = 0.15:x
x = 0.61
marked down from 16.50 per kg to 12 per kg. What percentage reduction is this?
Answer:
-27.27 %
Step-by-step explanation:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((12 - 16.5) / 16.5) * 100 = -27.27 %
27.3%
Find the different:
16.50-12=4.5
Find the percentage reduction:
4.5/16.50×100
=27.27272727
=27.3%(3 sig.fig)
Find the sum of the infinite geometric sequence.
If the answer is not an integer, enter it as a fraction in simplest form.
The sum of the infinite geometric sequence is 3 3/4
How to find the sum of the infinite geometric sequence.From the question, we have the following parameters that can be used in our computation:
The geometric sequence
In the geometric sequence, we have
First term, a = 3/5¹⁻¹
a = 3
Also, we have
Common ratio, r = 1/5
The sum of the infinite geometric sequence is calculated as
Sum = a/(1 - r)
So, we have
Sum = 3/(1 - 1/5)
Evaluate
Sum = 3 3/4
Hence, the sum of the infinite geometric sequence is 3 3/4
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Identify each triangle based on angles. (Acute, Obtuse or Right)please I don’t understand this
Answer:
45
Step-by-step explanation:
Answer:
2. right
3.obtuse
hope this helps
have a good day :)
Step-by-step explanation:
Show that the point (å,ä ) is on the perpendicular bisector of the line segment with end points
(Ů,ü ) and (ĝ,ġ )
To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.
1. Determine the midpoint of the line segment:
- The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:
\(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.
In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).
2. Calculate the midpoint coordinates:
- Substitute the values into the midpoint formula to find (x_mid, y_mid).
3. Find the slope of the line segment:
- Use the slope formula: slope = (y2 - y1) / (x2 - x1).
Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.
4. Determine the negative reciprocal of the line segment's slope:
- Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.
5. Write the equation of the perpendicular bisector:
- Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.
6. Substitute the point (å, ä) into the equation:
- Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.
7. Verify that the equation holds true:
- If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.
By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).
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(-4/9)*3×(-27/20)*4=
(-4/9)*3×(-27/20)*4= 7.2
Step-by-step explanation:
here's the answer to your question