Answer:
A
Step-by-step explanation:
When two lines cross, the angles opposite of each other are always equal.
Example:
4=21=3You can even check this by adding all of the angles together to equal 360.
a square is inscribed in a circle. how fast is the area of the square changing when the circel is increasing at 1 in/min
The area of the square is changing at 12√2 + 2√2t square inches/minute when the circle is increasing at 1 in/min.
Let us find the relationship between r and s using the Pythagorean theorem. Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.
2r = s√2
Squaring both sides, we get:
4r² = 2s²or s² = 2r²
Dividing by 2 on both sides, we get:
s²/2 = r²
Differentiating both sides with respect to t, we get:
ds²/dt = 2r (dr/dt)
Dividing both sides by 2s, we get:
ds/dt = r (dr/dt) / s
Substituting r² = s²/2,
\(ds/dt = r (dr/dt) / √2s2s ds/dt = r (dr/dt)s ds/dt = (r/2) (dr/dt)2s ds/dt = r (dr/dt) or dA/dt = 2s ds/dt = 2r (dr/dt)\)
Now, substituting r² = s²/2,
dA/dt = 2s ds/dt = 2(√2 s) (dr/dt) = 2(√2) r (dr/dt)
Now, substituting dr/dt = 1 in/min and r = 6 in (since the circle is increasing at 1 in/min, the radius after t minutes is 6 + t),
dA/dt = 2(√2) (6 + t) (1) = 12√2 + 2√2t square inches/minute
Therefore, the area of the square is changing at a rate of 12√2 + 2√2t square inches/minute.
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31. Mean Grade-Point Average Assume that all grade-point averages are to be standardized on a scale between 0 and 4. How many grade-point averages must be obtained so that the sample mean is within 0.01 of the population mean
In this case, since we want the sample mean to be within 0.01 of the population mean, the margin of error is 0.01.
To determine the number of grade-point averages needed to have a sample mean within 0.01 of the population mean, we can use the formula for the margin of error. The margin of error is calculated by dividing the standard deviation of the population by the square root of the sample size, multiplied by a constant value.
To find the required sample size, we need to know the standard deviation of the population. However, since it is not provided, we cannot calculate the exact number of grade-point averages needed.
If you have the standard deviation of the population, you can use the following formula to calculate the sample size:
Sample size = (Z * standard deviation) / margin of error
Where Z is the constant value that corresponds to the desired level of confidence. For example, if you want a 95% confidence level, Z would be approximately 1.96.
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the hypotenuse of a right triangle is 11 inches. if one leg is 10 inches, find the degree measure of each angle
The measure of angles are
∠A = 24.61 degrees∠B = 90 degrees∠C = 65.39 degreesThe length of the hypotenuse of the right triangle = 11 inches
The length of the one leg = 10 inches
Then the length of the other leg is the square root of the sum of the hypotenuse square and one leg square
Then the equation will be
The length of the other leg = \(\sqrt{11^2-10^2}\)
= \(\sqrt{121-100}\)
= 4.58 inches
Therefore AC = 11 inches
AB = 10 inches
BC = 4.58 inches
The angle B = 90 degrees
Consider the angle A
cos θ = Adjacent side / hypotenuse
cos θ = 10 /11
θ = 24.61 degrees
Consider the angle C
cos θ = Adjacent side / Hypotenuse
cos θ = 4.58 / 11
θ = 65.39 degrees
Hence, the measure of angles are
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PLEASE HELP!
What is the first step in drawing a 40° angle?
A.Line up the ray with the baseline and origin on the protractor
B. Draw a mark on the paper at 40°
C. Draw a ray
D. Draw a ray connecting the vertex and the mark
Answer:
C. Draw a ray
Step-by-step explanation:
The first step in constructing an angle - or copying one - is to draw a ray. Then, you will use a protractor, compass, straightedge, etc.
Answer:
C draw a ray
Step-by-step explanation:
why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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a movie theater charges $7 for adults and $4.25 for children. Duringa recent showing, 139 tickets were sold for a total of $720. How many of adult tickets and children tickets were sold respectiviely
Approximately 46 adult tickets and 92 children tickets were sold during the recent showing at the movie theater.
To determine the number of adult and children tickets sold during a recent showing at the movie theater, where the ticket prices for adults and children are given, we can solve a system of equations based on the total number of tickets sold and the total revenue generated.
Let's assume the number of adult tickets sold is "a" and the number of children tickets sold is "c". Given that an adult ticket costs $7 and a children ticket costs $4.25, we can set up the following equations based on the total number of tickets sold and the total revenue generated:
Equation 1: a + c = 139 (equation representing the total number of tickets sold)
Equation 2: 7a + 4.25c = 720 (equation representing the total revenue generated)
To solve this system of equations, we can use substitution or elimination methods. Let's use the elimination method as an example:
Multiply Equation 1 by 4.25 to make the coefficients of "c" in both equations equal:
4.25a + 4.25c = 591.75
Subtract Equation 2 from the above equation:
(4.25a + 4.25c) - (7a + 4.25c) = 591.75 - 720
-2.75a = -128.25
Divide both sides of the equation by -2.75:
a = 46.8
Substitute the value of "a" back into Equation 1 to find "c":
46.8 + c = 139
c = 139 - 46.8
c = 92.2
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A group of 18 people need to take an elevator to the top floor. They will go in groups of six. They are deciding who will take the elevator on its second trip.
The remaining six people will take the elevator on its second trip.
How to determine who will take the elevator on its second trip.Since the group of 18 people will go in groups of six, we can determine the number of trips required to take all 18 people to the top floor.
The first trip will consist of six people, leaving 18 - 6 = 12 people remaining.
The second trip will also consist of six people, leaving 12 - 6 = 6 people remaining.
Therefore, the remaining six people will take the elevator on its second trip.
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A certain number was divided my 3; 3 was added to to the result. the final answer is 8. what is the number?
Answer: The number is 15.
Step-by-step explanation: We are given a certain number we don't know about. Since it's value is unknown it is a variable. We'll call this variable "x". That number, x, is divided by 3, and then 3 was added to x to make 8. So then if x = 15, then dividing it by 3 would make 5, and adding 3 to that would make 8.
Another way to solve this, or check your work, is to work the problem out in reverse. Starting with the number 8, subtract 3 and then multiply that number by 3. This will give you the number 15. Which shows that the answer is correct.
\((\frac{15}{3}) + 3 = x\)
\(5+3= x\)
\(8=x\)
\(x=8\)
\(3(8-3) = x\)
\(3(5) = x\)
or
\(24 - 9 = x\)
\(15 = x\)
\(x=15\)
Thus the number is 15. Hope this helps, and have a great day!
Answer:
the number is 15
Step-by-step explanation:
if you fix it into the equation, you'll get 15 divided by 3 which is 5 then plus 3 which will give you 8
Calculate the area and perimeter of each shape
Answer: area= 38, perimeter=34
Step-by-step explanation: a=lw,p= sum of all sides
The area of the biggest, middle and smallest shapes are 14 cm²,16 cm², and 8 cm² respectively while the perimeter of the biggest, middle and smallest shapes are 18 cm,16cm, and 12 cm respectively.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
Perimeter of square = side + side + side + side
The given object is divided into three sections.
Biggest section :
Area = 2 x 7 = 14 cm²
Perimeter = 2(7 + 2) = 18 cm
Middle section :
Area = 4 x 4 = 16cm²
Perimeter = 2(4 + 4) = 16cm
Smallest section :
Area = 2 x 4 = 8 cm²
Perimeter = 2(2 + 4) = 12 cm
Hence "The area of the biggest, middle and smallest shapes are 14 cm²,16 cm², and 8 cm² respectively while the perimeter of the biggest, middle and smallest shapes are 18 cm,16cm, and 12 cm respectively".
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A python is slithering at a constant speed of 20 feet per minute. How far will the python
travel in .5 hours?
Answer:
600 feet
Step-by-step explanation:
Half an hour is 30 minutes.
If the snake moves 20 feet per minute, you can multiply the 20 by 30.
600.
Add.
(56² − 3b + 2) + (26 — 4)
What is the answer? Enter your answer in the blanks.
Answer:
The correct answer is 5b²-b-2
If you want to find the energy quantum of light, you multiply the frequency of the radiation (v) by "h". What is "h"?
Answer:
H is E
Step-by-step explanation:
In the formula of the energy of photons "h" signifies Planck's constant.
What is Planck's constant?The Planck constant, often known as Planck's constant, is a crucial physical constant in quantum physics. The mass-energy equivalency establishes the relationship between mass and frequency, and the constant establishes the relationship between a photon's energy and frequency.
In the equation energy E = h X v. The "h" there signifies Planck's constant
Planck's constant is a value, that shows the rate at which the energy of a photon increases/decreases, as the frequency of its electromagnetic wave changes.
Therefore, in the formula of the energy of photons "h" signifies Planck's constant.
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Jackson is riding his bike in a 150 mile race. If he wants to keep the same pace for the first five hours then go as fast as he can the last 20 miles. How many miles should he travel in the first hour of his race?
Possible answers:
A. 18 miles
B. 22 miles
C. 24 miles
D. 26 miles
Answer:
Step-by-step explanation:
It is b
What is the product? [3 6 1 2 4 0 0 6 2]*[2 0 1]
Answer:
D
Step-by-step explanation:
7
4
2 last option
letter d is 7 someone help me please!!!!
Answer:
The answer is A. -7
Step-by-step explanation:
76 + 41 = 117
117 + 70 = 187
187- 7 = 180
Hope this helps
Answer:
A -7
Step-by-step explanation:
the angles of a triangle add up to 180
76+41+70 = 187-7 180
write a translation rule that maps point d(7 -3) onto point d'(2 5)
Answer:
translate (x,y) (x-5,y+8)
TRANSLATING INTO AN EQUATION. 637 is 91% of what number?*
Answer:
answer = 7000
Step-by-step explanation:
let the number be X
therefore, 91% × X = 637
or. 91 / 100 × X = 637
or. x = 637 × 100 ÷ 91
or. x = 700
Answer
\(--------------------------------------------\)
\(91\)\(%\)% \(of\) \(63\)\(7\) = \(?\)
\(--------------------------------------------\)
\(579.67\) \(or\) \(\frac{57967}{100}\) = \(?\)
\(--------------------------------------------\)
\(\frac{57967}{100}\) = \(Most\) \(likely\) \(the\) \(answer\)
\(\frac{28983.5}{50}\) =
\(\frac{14491.75}{25}\) =
\(\frac{7245.875}{12.5}\) =
\(\frac{3622.9375}{6.25}\) =
\(\frac{1811.46875}{3.125}\) =
\(\frac{905.734375}{1.5625}\) =
\(\frac{452.8671875}{0.78125}\) =
\(\frac{226.43359375}{0.390625}\) =
\(\frac{113.216796875}{0.1953125}\) =
\(\frac{56.6083984375}{0.09765625}\) = \(Least\) \(likely\) \(the\) \(answer\) ( \(But\) \(still\) \(can\) \(be\) \(an\)
\(--------------------------------------------\)
Hope this helps! <3
\(--------------------------------------------\)
PLEASE HELP!! i’ll give brainliest
A. ||
B.
C. neither they are skew lines
Answer:
I think it's A (parallel)
Answer:
A. its parallel
Step-by-step explanation:
all angles are equal... two sides are perpendicular and two are parallel
6) Which equation shows the relationship between x, the number of
minutes and y, the price?
y = 0. 15x x = 0. 154 x = 9y y= 9x
The equation y = 0.15x allows us to model the relationship between the number of minutes and the price of a service or product that has a fixed cost per unit time.
The equation y = 0.15x represents a linear relationship between the two variables x and y, where y is the dependent variable (the price) and x is the independent variable (the number of minutes).
This equation tells us that for every additional minute (increase in x), the price (y) will increase by a fixed proportionality constant of 0.15, which is the slope of the line. In other words, if we plot the values of x and y on a coordinate plane, with minutes on the x-axis and price on the y-axis, then the line formed by the equation y = 0.15x will have a slope of 0.15.
For example, if a service charges $0.15 per minute, then the equation y = 0.15x can be used to calculate the total cost (y) of using the service for a certain number of minutes (x). If a customer uses the service for 30 minutes, then the total price would be:
y = 0.15 * 30 = $4.50
Similarly, if the customer uses the service for 45 minutes, then the total price would be:
y = 0.15 * 45 = $6.75
Thus, the equation y = 0.15x allows us to model the relationship between the number of minutes and the price of a service or product that has a fixed cost per unit time.
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What is the correct answer?
Answer:
F
Step-by-step explanation:
1. The cost for a summer camp is $1,125 for each camper. If 65
campers sign up, what is the total amount the camp collects?
Please help with us math work
Following are the mathematical operations for the numerics.
Mathematical operations -An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.
In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.
Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. Image: The basic mathematical operation symbols. A set of numbers and operations make up a mathematical expression.
24 × 3/4 = 1824 ÷ -3/4 = -3212 - 15 = -312 - 15 = 27-18 ÷ -3/4 = 24To learn more about Mathematical operations from given link
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Help me solve this problemm
all you need is in the photo
please answer fast pleaseee
please do the step by step
Answer:
1.601×10^9
Step-by-step explanation:
800.5 × 2×10^6
1601×10^6
1.601×10^9
answer this pleaseeeee
Answer:
Each goat gets 3 carrots and there are 4 extra carrots left
Step-by-step explanation:
5*3=15
OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.
5*3.8=19
Answer:
the answer is simple 3 remainder of 4
Step-by-step explanation:
so he had 5 goats and 19 carrots
19/5=3.8 which mean 3 and 4 left
On Monday, the ABC Company stock was at $12.80 per share. On Tuesday it gained $3.42, and then lost $9.70 on Wednesday. What is the new price per share?
Answer:
Step-by-step explanation:
12.80+3.42= 16.22
16.22-9.70= 6.52 that's your answer
how many 9 are there between 1 and 100?
Answer:
20
Step-by-step explanation:
To determine the number of 9s between 1 and 100, we can consider the numbers from 1 to 99 since we want to exclude 100.
In the range from 1 to 99, we can observe the following patterns:
There is one 9 in each of the units' places (9, 19, 29, ..., 89, 99), giving us 10 occurrences.
There is one 9 in each of the tens' places (90, 91, 92, ..., 99), giving us 10 occurrences.
Therefore, there are a total of 10 + 10 = 20 occurrences of the digit 9 between 1 and 100.
Please help this is my last question
\(-\sqrt{16}=-4\)
-4 is an integer, and a rational number.
C- The answer is C like the letter C
let [a, b] be a non-degenerate closed interval in r, and let f : [a,b] →r be twice differentiable with f(a) < 0, f(b) > 0, f'(x)≥ c > 0, and 0 ≤f ''(x)≤ m for all x ∈(a,b)
The function f is twice differentiable on the interval [a, b], conditions provide some information about the behavior of the function f on the given interval.
Based on the given conditions, we can conclude the following:
1. The function f is defined on a non-degenerate closed interval [a, b] in the real numbers.
2. The function f is twice differentiable, meaning its derivative exists and is also differentiable.
3. The value of f(a) is negative, indicating that the function takes a negative value at the left endpoint of the interval.
4. The value of f(b) is positive, indicating that the function takes a positive value at the right endpoint of the interval.
5. The derivative of f, denoted as f'(x), is greater than or equal to a positive constant c for all x in the interval (a, b). This implies that the function is increasing or non-decreasing throughout the interval.
6. The second derivative of f, denoted as f''(x), is greater than or equal to 0 and less than or equal to a constant m for all x in the interval (a, b). This implies that the function is concave up or non-concave down throughout the interval.
These conditions provide information about the behavior of the function f within the interval [a, b].
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mustafa is putting a sidewalk using two diffrent style bricks, one style brick is 8 inches long, and the other style brick is 6 inches long ,and he intends to use y of these. his sidewalk is to be 288 inches long write down an equation to represent the situation
Answer:
8y+6y=288
Step-by-step explanation:
8y+6y= 12y
12y=288
12y divide by 12 = 288 divided by 12 =
y=24