Answer:
1/2 - Half of the numbers are odd
The point of concurrency of the angle bisectors of a triangle is known as_____. a) Incentre. b) Centroid. c) Orthocentre. d) None
The required final answer is option a) Incentre
What is concurrency of the angle?The point of concurrency of the angle bisectors of a triangle is known as the "Incentre".
It is the center of the circle inscribed within the triangle, which is equidistant from all three sides of the triangle.
The incentre is the point where the angle bisectors of a triangle intersect, forming the incircle, which is the largest circle that can be inscribed inside the triangle.
The incentre is always within the triangle and is equidistant from all three sides of the triangle, making
it a useful tool in construction and design applications. In summary, the incentre is the center of the incircle of a triangle, and it is the point where the angle bisectors of the triangle intersect.
Thus, required answer is "Incentre".
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13 = 2m + 5
whats m?
Answer:
M is 4
Step-by-step explanation:
in order to solve, 13=2m+5, you need to subtract 5 from both sides.
13=2m+5
-5 -5
Which is,
8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.
A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?.
Answer:
58.50
Step-by-step explanation:
Multiply 50 and .17 which equals 8.5 then add that to 50.
The amount of money in the account in December with a rate of 17% of the initial amount of $50 is $58.5.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A teenager puts $50 into an investment account in January.
Let, he deposited on first January.
If by December the balance in the account increases by 17%,
Let the amount by the 31 first of December will be
Then the amount will be given as
\(A = P (1 + \dfrac{r}{100})^t\)
P = $50
r = 17%
t = 1
Then we have
\(\rm A = 50(1 + \dfrac{17}{100})^1\\\\A = 50(1 + 0.17)\\\\A = 50 * 1.17 \\\\A = 58.5\)
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Question 3 (0.5 points)
Jimmy ate breakfast at a diner. He ordered a pancake for $7.25 and an orange juice
for $2.35. The tax was 7.5%.
What is the amount of tax for Jimmy's meal?
$0.72
$72.00
$9.60
Answer:
0.72
Step-by-step explanation:
7.25+2.35=9.6
9.6÷100=0.096
0.096×7.5=0.72 the tax
4r + 9s + r+ r+ r+ r+r
Answer:
9 + 9
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Describe the composite transformation that has occurred.
The composite transformation that has happened is defined as follows:
Reflection over the x-axis.Translation 6 units right and 2 units up.How to define the transformation?From the triangle ABC to the triangle A'B'C', we have that the figure was reflected over the x-axis, as the orientation of the figure was changed.
From triangle A'B'C' to triangle A''B''C'', the figure was moved 6 units right and 2 units up, which is defined as a translation 6 units right and 2 units up.
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On a string of lights there are 200 bulbs. After many years of use, 19 of them have burned out. Approximately what percentage of bulbs have burned out?
Answer:
8.5% (you can approximate that, that's the exact number and it isn't too funky)
Step-by-step explanation:
Percentage is out of 100, and over here we see that 200 is 2 times the amount of 100. So that means that if we divide 200 by 2, we get 100, which means we also divide 19/2 to get 8.5. That means, out of 100 light bulbs, 8.5 of them burned out. This is really easy to convert because the percentage is already out of 100, so you just make 8.5 into a percent which is 8.5%
Let me know if you have any questions.
1/2 of a 360
circle in degrees
Answer:
Step-by-step explanation:
180 because if you add 180 + 180 = 360
H(a) = -a + 3 find h(-4)
Answer:
H(-4)= -(-4)+3= 7
Step-by-step explanation:
Answer:
The answer is 7
Step-by-step explanation:
If you substitute -4 into the equation you get -> H(a)= -(-4) +3, a negative times a negative is a positive so that leaves you with 4 +3, which equals 7.
suppose that the radius is expanding at a rate of 0.6 inches per second. how fast is the volume changing when the radius is 2.3 inches? use at least 5 decimal places in your answer.
Using the theories of Application of derivative,we got that 59.11221inches³/sec is rate of volume changing when the radius is 2.3 inches.
We are given rate of change of radius (dr/dt)=0.6inches
We know very well that volume of sphere is given by (4/3)πr³
where r is the radius of the sphere.
Now, differentiating the volume with respect to radius, we get
=>dV/dr=4πr²
=>dV/dt=(dv/dr)·(dr/dt)
=>dV/dt=4πr².(dr/dt)
We are given that dr/dt=0.6inches/sec
So, dV/dt=4πr²·(0.6)
Now, putting values of r=2.3
dV/dt=4π(2.3)²×(0.6)
=>dV/dt=4×3.14×2.3×2.3×0.6
=>dV/dt=59.11221inches³/sec
Hence, if we suppose suppose that the radius is expanding at a rate of 0.6 inches per second, the volume is changing at the rate of 59.11221inches³/sec when the radius is 2.3 inches.
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please help!!! on all of it!!
T/F: if two angles are vertical angles, then they are congruent (have equal measures).
Answer:
True
Right angles measure 90° . So each vertical angle = 90° and hence they are equal
Step-by-step explanation:
A school band has several students. ¼ play a brass instrument. ⅔ of those students play the trumpet. What fraction of students play the trumpet?
The fraction of the students that played the trumpet is 1/6
How to calculate the fraction of students that played the trumpet?The school band has several students
1/4 play a brass instrument
2/3 of those students play the trumpet
Therefore the fraction of students that paly the trumpet can be calculated as follows
1/4 × 2/3
= 1/6
Hence the fraction of students that play the trumpet is 1/6
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someone plz help me on this question plz
Answer:
The answer is C
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
you have to times 22 times 3 to get the sq. units
i need help
schoology
Answer: 37 degrees
Hope this helps :)
Step-by-step explanation:
(The box in the corner tells you this is a right angle)
A right angle is 90 degrees
90 - 53 = 37
Answer:
37 degrees
Step-by-step explanation:
Angle a is equivalent to 37 degrees because the picture signifies a right angle; all right angles are equal to 90 degrees. The equation to solve this would be: 53+x=90, you would solve this by subtracting 90-53=x; x=37
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(-5, -4) and (-13,2)
The slope of the line passing through the points (-5, -4) and (-13, 2) is -3/4.
What is the slope of the line through the given points?Slope is simply expressed as a change in y over the change in x.
It is expressed as
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Given the points:
(-5, -4) and (-13,2)
Point (-5, -4):
x₁ = -5
y₁ = -4
Point (-13,2):
x₂ = -13
y₂ = 2
Plug the given x and y values into the slope formula and simplify.
\(m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2 - (-4)}{-13 - (-5)}\\\\m = \frac{2 + 4}{-13 + 5}\\\\m = \frac{6}{-8}\\\\m = -\frac{3}{4}\)
Therefore, the slope of the line is -3/4.
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I need simple working out thank you for anyone helping me
Answer:
Step-by-step explanation:
we know that the triangle to the center is an isosceles, so the two angle on the circle of that triangle are the same. both 41, so 41*2 =82
all the way around that isosceles triangle is 180 so
180-82 = 98
the angle at O is 98°
the arc BC spans 98°
angle 'a' is 1/2(98°)
a = 49°
If when simplified results to a unit fraction and
A ≠1, B= 80 and B < 80. Find all the values of A
Answer:
a ≤ 39 ≠ 1
Step-by-step explanation:
which list of numbers is ordered from least to greatest help pls
Answer: B
Step-by-step explanation:
If you change them all to decimals.
4.8% = .048
1/20 = .05
4.1 x \(10^{-1}\) = .41
\(\sqrt{4}\) = 2
So, that would be least to greatest.
which whould most likely weigh 2 pounds
a mouse
a pencil
a dictionary
a school desk
Answer: I say a dictionary.
Step-by-step explanation:
Enter the value of p so that the expression 2(n+7) is equivalent to (n+p)2
what is the volume of a 6 by 8 cone?
Answer:
301.7 cm
Step-by-step explanation:
Given,
Height of cone (h)=8cm
base radius (r)=6cm
Volume of the cone (V)=
3
1
πr
2
h
=
3
1
×
7
22
×6×6×8
=
7
2112
=301.7cm
3
Hence, volume of the cone =301.7cm
3
Answer:
402.1402.1 cm
Step-by-step explanation
height = 6cm
Radius= 8cm
Jessica reads a story about a turtle that swam 16 feet in 24 seconds. She assumes that the time t that it takes the turtle to swim a distance of d feet is a proportional relationship.Jessica starts to create the table shown for other times and distances the turtle swims.
Equation to represent this proportional relationship is d = tk, where t is time, d is distance and k is the constant of proportionality.
Therefore, given d = 16 and t = 24, we substitue in the above equation and find k:
\(\begin{gathered} d=tk \\ 16=24k \\ \frac{16}{24}=\frac{24k}{24} \\ k=\frac{2}{3} \end{gathered}\)Next let's complete the table by substituting the value of k and the other given value of t or d, as the case may be:
Time = 1 sec
\(\begin{gathered} d=tk \\ d=1\cdot\frac{2}{3} \\ d=\frac{2}{3} \end{gathered}\)Distance = 10 feet
\(\begin{gathered} 10=t\cdot\frac{2}{3} \\ 10\cdot\frac{3}{2}=t\cdot\frac{2}{3}\cdot\frac{3}{2} \\ \frac{30}{2}=t\cdot1 \\ t=15 \end{gathered}\)Time = 45 sec
\(\begin{gathered} d=45\cdot\frac{2}{3} \\ d=\frac{90}{3} \\ d=30 \end{gathered}\)Answer:
Time (seconds): 1 | 15 | 24 | 45
Distance (feet): 2/3 | 10 | 16 | 30
pic below!! find the surface area of a cube with side lengths of 2 m
Answer:
24
Step-by-step explanation:
the equation is 6s^2, where s=2. This equals 24
Answer:
Step-by-step explanation: area of one square 2x2 right, then you multiply to get 4 then x6 because of the six sides to a cube then you get 24
use an identity to reduce the power of the trigonometric function to a trigonometric function raised to the first power. sin2(x) =
We can use the identity sin²(x) = 1/2 - 1/2 cos(2x) to reduce the power of the trigonometric function to a trigonometric function raised to the first power.
The identity sin²(x) = 1/2 - 1/2 cos(2x) can be derived using the double angle formula for cosine. The double angle formula for cosine states that cos(2x) = cos²(x) - sin²(x).
Rearranging this formula, we get sin²(x) = cos²(x) - cos²(x) + sin²(x).
Simplifying, we get sin²(x) = 1 - cos²(x).
Dividing both sides by 2, we get sin²(x) = 1/2 - 1/2 cos²(x).
Substituting cos²(x) with cos(2x)/2, we get sin²(x) = 1/2 - 1/2 cos(2x).
Therefore, sin²(x) can be expressed as a trigonometric function raised to the first power, 1/2 - 1/2 cos(2x).
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what is the simplest form of 32/40
Answer:
4/5
Step-by-step explanation:
Answer:
4/5 or as in decimals, 0.8
Step-by-step explanation:
32/8=4
40/8=5
11) Which measurement(s) would help determine absolute dates by radiometric means?
A) the accumulation of the daughter isotope
B) the loss of parent isotopes
C) the loss of daughter isotopes
D) Three of the responses above are correct.
E) Two of the responses above are correct.
The correct answer is E) Two of the responses above are correct:
The measurement(s) that would help determine absolute dates by radiometric means are the accumulation of the daughter isotope and the loss of parent isotopes. These two measurements are crucial in radiometric dating methods, which rely on the decay of radioactive isotopes in rocks and minerals over time.
In radiometric dating, scientists measure the ratio of parent isotopes to daughter isotopes in a sample. The parent isotopes decay at a known rate, converting into daughter isotopes. By determining the amount of parent isotope that has decayed and the accumulation of daughter isotope, scientists can calculate the age of the sample.
For example, if a rock sample contains a radioactive isotope with a half-life of 1 million years, and 75% of the parent isotope has decayed into the daughter isotope, it can be inferred that the rock is approximately 2 million years old (since two half-lives have passed).
Therefore, the correct answer is E) Two of the responses above are correct: the accumulation of the daughter isotope and the loss of parent isotopes are measurements that help determine absolute dates by radiometric means.
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In a horse race, the odds that Romance will win are listed as 2 : 3 and that Downhill will win are 1 : 2. What odds should be given for the event that either Romance or Downhill wins? (3 mks)
Answer:
7:6
Step-by-step explanation:
The odds that Romance will win are listed as 2 : 3
We can rewrite this as:
The probability that Romance will win \(=\dfrac23\)
The odds that Downhill will win are 1 : 2.
The probability that Downhill will win \(=\dfrac12\)
Therefore:
The probability that either Romance or Downhill wins
=P(Romance Wins)+P(Downhill wins)
\(=\dfrac23+\dfrac12\\=\dfrac{2(2)+3(1)}{6}\\=\dfrac76\)
Therefore. the odds that should be given for the event that either Romance or Downhill wins is: 7:6
a(x-y) + b (x-y) factorize
Answer:Given expression : a(x-y)-b(x-y)
Now, (x-y) is common in both terms.
First factor is (x-y).
∴a(x−y)−b(x−y)=(x−y)(a−b)
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A(n) ______________________________ is formed by one side of the triangle and the extension of an adjacent side.
A triangle is a three-sided polygon that consists of three sides and three angles. An extension of a side of a triangle is a line segment that is drawn from one of the endpoints of the side that extends beyond the side.
If we extend one side of the triangle and draw a line that passes through one of the adjacent vertices, the resulting shape is called a triangle's exterior angle. This exterior angle is formed by one side of the triangle and the extension of an adjacent side.
In other words, an exterior angle of a triangle is an angle that is formed by one side of a triangle and the extension of an adjacent side of the triangle.
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