The value of arc angle x is 103 degrees.
How to find arc angle?If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle .
Therefore, using the chord intersection theorem,
62 = 1 / 2 (21 + x)
62 = 10.5 + 0.5x
subtract 10.5 from both sides of the equation
62 - 10.5 = 0.5x
51.5 = 0.5x
divide both sides by 0.5
x = 51.5 / 0.5
x = 103 degree
Therefore,
x = 103 degrees
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Kyle collects rainwater in two barrels. Last week one barrel collected 1.46 gallons of rainwater. The other barrel collected 0.751 gallon of rainwater.
What was the total amount of rainwater that Kyle collected last week?
Answer:
2.211 gallon of rainwater
Step-by-step explanation:
1.46 gallon + 0.751 gallon = 2.211 gallon
2x-9
X =
X +5
Use the triangle shown above to solve for x.
A
The value of x is 14.
We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.
We have two sides measured 2x-9 and x+ 5.
From the figure the length of sides are equal then
2x-9 = x+ 5
2x- 9- x = 5
x-9 = 5
Add 9 to both sides of the equation:
x - 9 + 9 = 5 + 9
x= 14
Thus, the value of x is 14.
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8. (09.04 LC)
A circle is centered at (-3, 2) and has a radius of 2. Which of the following is the equation for this circle? (6 points)
O (x + 3)2 + (y - 2)2 = 2
O (x - 3)2 + (y + 2)2 = 4
O (x + 3)2 + (y - 2)2 = 4
O (x - 3)2 + (y + 2)2 = 2
Answer:
(x + 3)² + (y -2)² = 4
Explanation:
Circle Formula: (x -h)² + (y -k)² = r²
"r" is radius, "h" is x coordinates of center, "k" is y coordinate of center.
Here given:
h = -3, k = 2, r = 2Insert values:
(x -(-3))² + (y -2)² = 2²
(x + 3)² + (y -2)² = 4
factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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The sum of two numbers is 82. Their difference is 34. Write a system of equationsthat describes this situation. Solve by elimination to find the two numbers.O 1) * - y = 82x + y = 3457 and 252) x + y = 82x - y = 3458 and 243)x + y = 82x - y = 3453 and 194) * + y = 34Y - x = 8253 and 25
if x and y are the numbers, then you have the following system of equations:
x + y = 82
x - y = 34
in order to solve the previous system, proceed as follow:
add the equations:
x + y = 82
x - y = 34
2x = 116
divide by 2 the previous equation to obtain x:
x = 116/2
x = 58
next, replace the previous value of x into any of the equation os the system, and solve for y:
x + y = 82
58 + y = 82
subtract 58 both sides:
y = 82 - 58
y = 24
Hence, the solution of the system of equations is
x = 58
y = 24
A table is on sale for 32% off. The sale price is $459.
What is the regular price?
the regular price is "x", which of course is the 100%, but we also know that $459 is 32% off that, hmmmmm well 100% - 32% = 68%, so $459 is really 68% of "x", because $459 is whatever "x" is minus 32%.
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 459&68 \end{array}\implies \cfrac{x}{459}=\cfrac{100}{68}\implies \cfrac{x}{459}=\cfrac{25}{17} \\\\\\ 17x = 11475\implies x = \cfrac{11475}{17}\implies x = 675\)
What number should replace the question mark?
Answer:
1 Cruz it makes sense I hope this helps tho
8x+5
whats the answer
in the figure, GK bisects FGH
if FGK=7w+3 and FGH=104, find W.
7
3.5
14.43
52
PLEASE HELP ME!!!!
Answer:
\( w = 7 \)
Step-by-step explanation:
Given:
m<FGK = (7w + 3)°
m<FGH = 104°
angle bisector of <FGH = GK
Required:
Value of w
SOLUTION:
Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:
m<FGH = 2*m<FGK
\( 104 = 2*(7w + 3) \) (substitution)
Divide both sides by 2
\( \frac{104}{2} = \frac{2*(7w + 3)}{2} \)
\( 52 = 7w + 3 \)
Subtract 3 from each side
\( 52 - 3 = 7w + 3 - 3 \)
\( 49 = 7w \)
Divide both sides by 7
\( \frac{49}{7} = \frac{7w}{7} \)
\( 7 = w \)
\( w = 7 \)
What is the circumference of a circle whose diameter is 15 niches
The circumference of a circle with a given diameter of 15 inches is equal to 15pi which is equal to 47.12 inches.
What is the circumference of a circle?The circumference of a circle is the distance around the edge of the circle.
What is the formula for calculating the circumference of a circle?The formula for calculating the circumference of a circle is given by,
C = 2πr = πd
Where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle and d is the diameter.
It is also known as the perimeter of the circle.
In the question above, we're given,
Diameter of the circle (d ) = 15 inches.
So, using the formula for the circumference of the circle,
Circumference (c) = π d
= π * 15
= 47.12 inches
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ben want to make pizza with salami He is going to make 3 pizza so he chops the salami into thirds
a) what fraction of the salami will go on the first pizza?
b)to make the first pizza he takes the first piece of salami and chops it into 15 equal slices. if he cuts all three parts the same way how many slices will there be in total
c)what fraction of the salmi goes on the pizza
Answer:
a) 1/3
b)45
Step-by-step explanation:
Answer:
a) 1/3
b)45
have a good day/night
Original Price is $1. New price is $.65. What is the percent of change ?
Answer:
35%
Step-by-step explanation:
Hope I can help!
Answer:
6400.00%
Step-by-step explanation:
7th grade help me plzzz
Please awnser asap I will brainlist
The element of A n B is { 7, 8}
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.
For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.
The sign 'n' means intersection and this means what is common to two or more set.
If set A = { 1,2,5,7,8}
set B = { 6,7,8,9}
then we can see that 7 and 8 are common to both sides, then
A n B = { 7,8}
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76.
A certain investor wants an 11% return on investment from any real estate investment. A property priced at $360,000 has gross income of $60,000 and expenses of $22,000. Approximately how much too high is the price of this
property for the investor to obtain her desired return exactly?
O 1. $ 16,000 underpriced
O 2. $15,000 overpriced
O 3. $1,000 overpriced
4. $8,000 underpriced
Answer:
It would be 15,00 overpriced
Step-by-step explanation:
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
8
х
Answer: x=10.25
Step-by-step explanation:
\(8^{2} +x^{2} =13^{2} \\64+x^{2} =169\\x^{2} =105\\x=\sqrt{105} \\x= 10.25\)
If x < -7, what is the largest integer value x can have?
x < -7 means
x is less than -7, not -7, but less.
Let's look at a number line:
This shows the solution set of the equation.
The open circle at -7 tells us that -7 IS NOT INCLUDED, but everything less than that is included.
We want the largest integer out of the solution.
THe integers are:
-8, -9, -10 ... and so on ...
The largest of them is
-8
What is the equation for the axis of symmetry of your quadratic ?
Y=x^2-4x
Answer:
\(y = {x}^{2} - 4x \\ y = x(x - 4)\)
n
2016
20162016, the city of Rio de Janeiro had a population density of
5377
people
km
2
5377
km
2
people
5377, start fraction, start text, p, e, o, p, l, e, end text, divided by, start text, k, m, end text, squared, end fraction .
What was the population density of Rio de Janeiro in people per square meter?
The population density of Rio de Janeiro in people per square meter is 5. 377 x 10 ⁻³ people per m²
How to find the population density ?To find the population density in meters squared when given the population density in kilometers squared, you first need to find the conversion factor between kilometer squared and meters squared.
1 kilometer squared is equal to 1, 000, 000 meters squared.
The population density of Rio de Janeiro in meters squared is therefore:
= Population density in kilometers squared / Conversion factor
= 5, 377 / 1, 000, 000
= 0. 005377
= 5. 377 x 10 ⁻³ people per m²
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The full question is:
In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.
What was the population density of Rio in people per square meter?
A city experiences rain, on average, twice in every ten days during the summer Rain is predicted on average for 70% of the days when rainfall actually occurs, and rain is predicted, on average, for 33% of the days when it does not rain. Assume that rain is predicted for tomorrow. What is the probability of rainfall actually occurring tomorrow? 0.1054 0.6535 0.3465 0.8946
The probability of rainfall actually occurring tomorrow is 0.3465. The correct answer is therefore 0.3465.
To solve this problem, you can use Bayes' Theorem. Bayes' Theorem is a way to calculate the probability of an event occurring based on prior knowledge of conditions that might be related to the event.
In this case, we are trying to find the probability of rainfall occurring tomorrow, given that it has been predicted. Let's call this probability P(R|P), where R is the event of rainfall occurring and P is the event of rain being predicted.
According to the problem statement, the probability of rain occurring on any given day during the summer is 2/10, or P(R) = 0.2.
The probability of rain not occurring is 1 - P(R) = 0.8.
The probability of rain being predicted, given that it does rain, is 0.7, or P(P|R). The probability of rain being predicted, given that it does not rain, is 0.33, or P(P|¬R).
Using Bayes' Theorem, we can calculate the probability of rain occurring tomorrow as follows:
P(R|P) = [P(P|R) * P(R)] / [P(P|R) * P(R) + P(P|¬R) * P(¬R)]
Substituting in the values from the problem statement, we get:
P(R|P) = [0.7 * 0.2] / [0.7 * 0.2 + 0.33 * 0.8]
Simplifying this expression gives us:
P(R|P) = 0.3465
So the probability of rainfall actually occurring tomorrow is 0.3465.
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Three friends play a game. Jamila has 4-1/2
more points than Carter. Carter has 7 1/2 more
points than Aisha. Jamila has 26 points. Write
and solve an equation to find the number of
points Aisha has. Show your work.
The equation is written as
x + 11 = 26Aisha has 15 points
How to write the equationLet's use the given information to set up an equation to represent the relationship between the points each friend has.
Let x be the number of points Aisha has.
Then, according to the problem statement, we know that:
Carter has 7 1/2 more points than Aisha, so he has
x + 7 1/2 points.
Jamila has 4 - 1/2 more points than Carter, so she has
x + 7 1/2 + 4 - 1/2 points,
which simplifies to x + 11 points.
Jamila has 26 points, so we can set x + 11 equal to 26 and solve for x:
x + 11 = 26
x = 26 - 11
x = 15
Therefore, Aisha has 15 points.
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The on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be the nominal return on an investment.
The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.
What is inflation?
In simple words continuing to rise in general price is regarded as inflation. There is a different kind of inflation, for example; The increase in price due to an increase in the aggregate of goods and services compared to aggregate supply is called demand-pull inflation.
If the inflation rate is positive, the actual return will be less than the nominal return on investment.
Therefore, In order to complete the statement, The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.
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Answer:
The REAL RETURN on an investment considers the effect of inflation on purchasing power. If the inflation rate is positive, the nominal return will be
GREATER THAN the real return on an investment.
Step-by-step explanation:
Which real-life situation involves a linear function whose graph passes through the points? Y (0, 20) and x (4, 80)
A) the entrance fee to an amusement park is $15 and each book of ride tickets costs $20.
B) Jet ski rental costs $20 initially plus $15 for each hour.
C) Shoes are on a sale at a shoe store for $20 for the first pair and $17 for each additional pair.
D) You earn and deposit into a bank account money from chores at the rate of $20 per week.
Answer:
B) Jet ski rental costs $20 initially plus $15 for each hour.
Step-by-step explanation:
The equation of a line has the following format:
\(y = mx+b\)
In which m is the slope, which having two points on the line, is given by the change in y divided by the change in x, and b is the y-intercept, which is the value of y when \(x = 0\).
Passes through point Y (0, 20):
This means that \(b = 20\). So
\(y = mx+20\)
Slope:
Through points (0,20) and (4,80). So
Change in y: 80 - 20 = 60
Change in x: 4 - 0 = 4
Slope: 60/4 = 15
So
\(y = 15x+20\)
Situation:
We want a situation in which we have a fixed fee of 20, and then for each unit of time or of the product, and increase of 15. So the correct option is B
what is the inverse of y= 10^x +8?
Answer:
\(x = \log_{10}(y - 8)\), where \(y > 8\).
Step-by-step explanation:
The question is asking for an expression for \(x\) in terms of \(y\).
The first step is to move as many constants away from the side with \(x\) as possible. In this question, that could be done by subtracting \(8\) from both sides of the equation.
\(y - 8 = 10^{x} + 8 - 8\).
\(y - 8 = 10^{x}\).
Notice how \(x\) is in the position of an exponent. Logarithms could help move \(x\) out of that position.
For any base \(b > 0\):
\(\log_{b} b^{x} = x\, \log_{b}\, b = x\).
In this question, \(10\) would be the base. That is: \(b = 10\).
Take the logarithm (with \(10\) as the base) of both sides of the equation \(y - 8 = 10^{x}\):
Left-hand side: \(\log_{10} (y - 8)\).Right-hand side: \(\log_{10} \left(10^{x}\right) = x\, \log_{10}\left(10\right) = x\).Equate both sides to find an expression for \(x\):
\(x = \log_{10}(y - 8)\).
My cookbook's pancake recipe states that it makes 12 standard sized pancakes. The nutritional information says 2 pancakes is a serving containing 150 calories. For breakfast, I prepared half a recipe, but made smaller sized pancakes, so ended up preparing 8 pancakes. I ate 4 of them. How many calories did I consume?
Answer:
225 calories
Step-by-step explanation:
1 recipe makes
12 standard sized pancakes
2 pancakes are 1/6 of the recipe
1/6 of the recipe has 150 calories
6 × 150 calories = 900 calories
The full recipe of 12 pancakes has 900 calories
1/2 recipe was made
1/2 recipe has 1/2 × 900 calories = 450 calories
1/2 recipe made 8 pancakes
4 pancakes are half of the half recipe or 1/4 recipe
1/4 × 900 calories = 225 calories
What equals 18 to the third power
Answer:
5832
Step-by-step explanation:
18 × 18 = 324
324 × 18 = 5832
Find the arc length of the semicircle.
Either enter an exact answer in terms of pi or use 3.14, point, 14 for pi and enter your answer as a decimal.
units
we know the semi-circle has a radius of 5, and of course the central angle wil be π.
\(\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\pi \\ r=5 \end{cases}\implies s=5\pi \implies \stackrel{\pi =3.14}{s=15.7}\)
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x₁ = x₂ (corresponding angles are equal)
y₁ = y₂ (right angles)
z₁ = z₂
Since the angles in the first triangle are equal to the angles in the second triangle, the two triangles are similar.
Because they are similar, then the ratios of their corresponding sides are equal:
\(\\\\\frac{9}{h} =\frac{11}{16}\)
h = 9×16/11 = 144/11 = 13 1/11 = 13.09
Exac
Two
If BD = 2.8, what is CP? Round
your answer to the nearest tenth. Write NA if
there is not enough information given.
RN=
Con
Diac
The shape represents an isosceles trapezoid
The value of CP is 1.1 units
How to calculate the length of CPThe given parameters are:
Length BD =2.8Length AP = 1.7Angle ADB = 37 degreesAngle BDC = 34 degreesThe shape is an isosceles trapezoidThe diagonals of an isosceles trapezoid are congruent.
This means that:
\(CA = BD = 2.8\)
Also, we have:
\(CA = CP + AP\)
Substitute values for CA and AP
\(CP + 1.7 = 2.8\)
Subtract 1.7 from both sides
\(CP = 1.1\)
Hence, the value of CP is 1.1 units
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Should i take basic maths in class 11 when i haven't taken optional math in class 9(in nepal) Please be true and i dont want some useless answers
Without having background on you and your prior results in school. I would say to an average student to go at the rate you are meant to be on and simply continue class 9. However if you excel in the past and know that you are better then those in your class, I see no reason as to why you couldn’t proceed to class 11. The only problem I would see is that if you skip classes you will miss out on being taught some basic formula that you will be expected to know going forward.