Answer:
This is pythagoras
A squared plus b squared equals c squared.
The unknown side is c as its the hypotenuse,
So the length of the first side is 6.4 this squared = 40.96
The other length is 12 as 6 is the radius so the diameter of the circle amd therfore the length of the triangle is 12.
12 squared is 144
144 + 40.96 = 184.96
The length of c squared is 184.96
To find the length of c alone we calculate the square root.
The square root of 184.96 = 13.6
? = 13.6
A ____________ can be used to help us determine the extent of how much an outcome is achieved.
A metric can be used to help us determine the extent of how much an outcome is achieved.
What is metric?A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.
They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.
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In the given figure, find the area of the shaded portion.
*
1 point
Captionless Image
Using the given radius we know that the area of the given shaded region is 61.5cm².
What is Radius?A circle or sphere's radius is any line segment that connects the object's center to its perimeter in classical geometry; in more contemporary usage, it also refers to the length of such line segments.
The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel."
The diameter of a circle is the distance measured through its center.
The radius of a circle is the distance from the center to any point on the edge.
The radius is equal to the diameter in half, or 2r=d2 r=d. A chord is a line segment that connects two points on a circle.
So, the area of the shaded region would be:
Area of shaded portion = Area of the square - Area of a circle
Length of the side of the square = 10cm
Area of square = (side)²
= (10cm)²
= 100cm²
Then,
Radius of Circle = 3.5cm
Area of Circle = πr²
= 22/7 × (35/10)²
= 22/7 × 1225/100
= 22 × 175/100
= 22 × 1.75
= 38.5cm²
Now,
Area of shaded portion = Area of the square - Area of a circle
Area of shaded portion = 100cm² - 38.5cm²
= 61.5cm²
Therefore, using the given radius we know that the area of the given shaded region is 61.5cm².
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The costs of repairing iPads in UAE are normally distributed with a mean of 173 Dhs. If
3%
of the costs exceed 243 Dhs, find the standard deviation of the costs. Round your answer to the nearest diham (Whole number).
The standard deviation of the costs is 37 Dhs
The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.
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maria has 12 more dollars than chris and in total they have 72 dollars how many does each have
Answer:
$24
Step-by-step explanation:
brainliest plzzz
Answer:
Chris has 30$
Maria has 42$
Step-by-step explanation:
This is a very simple question, let me show you how it is done
First of all, if Maria has 12 more dollars than Chris, therefore we have to find out how much Chris has first. In total, they have 72 and Maria has 12 dollars more than Chris so one way to solve this problem is to subtract 12 leaving us with 60, then we can divide it by 2 leaving us with 30, hence 30$ is the amount of money Chris has. But we're not done yet because we still have to find out how much Maria has, and in order to do that we simply have to add 12 to 30 and this leaves us with 42, Thus Maria has 42$ and Chris has 30$
Hope this Helps!
find the value of y in the proportion (4y+5):3=(y+7):4
The value of y in the given proportion is 1/13.
In mathematics, a proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities, typically written as a fraction. For example, if we have two quantities, a and b, then the ratio of a to b is written as a/b.
A proportion is written in the form a/b = c/d, where a, b, c, and d are numbers. This means that the ratio of a to b is equal to the ratio of c to d. We can also write this as a:b = c:d.
To solve the proportion:
(4y+5):3=(y+7):4
We can cross-multiply and simplify:
4(4y+5) = 3(y+7)
16y + 20 = 3y + 21
Subtracting 3y from both sides:
3y + 20 = 21
Subtracting 20 from both sides:
13y = 1
Dividing both sides by 13:
y = 1/13
Therefore, the value of y that satisfies the proportion is y = 1/13.
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Which sentence is true about a right triangle?
A. One angle measures 90°.
B. All angles measure 90°.
C. All angles measure more than 90°.
Thing
D. All angles measure less than 90°.
E.
One angle measures more than 90°.
Answer:
a. One angle measures 90 degrees.
Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is %6, percent.
What is the original price of the bracelet, before tax?
The original price of the bracelet, before tax $0.68
What is the original price of the bracelet, before tax?From the question, we have the following parameters that can be used in our computation:
Amount = $0.72
Sales tax = 6%
Using the above as a guide, we have the following:
Amount = Original amount * (1 + Sales tax)
Substitute the known values in the above equation, so, we have the following representation
0.72 = Original amount * (1.06)
So, we have
Original amount = 0.68
Hence, the original amount = 0.68
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someone help me please
Answer: C
Step-by-step explanation: devision?
I need help with this problem!
Answer:
104
Step-by-step explanation:
100%= 1.00
so
420%= 4.20
Multiply 4.20×20
84
now add the original 20
104. She has 104 boxes in total.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
104
Step-by-step explanation:
20 + (20*4) + (20*0.2)
= 20 + 80 + 4
= 104
Reduce to simplest form.
Divide the numerator and denominator by the
greatest common factor, 3.
[?]
15 27
=
Enter the number that belongs in the numerator.
Answer: 5/9
Step-by-step explanation: 15/27 divided by 3. 15 divided by 3 is 5 and 27 divided by 3 is 9.
How many seconds are in 4.98 minutes? Round your answer to the nearest tenth (to one decimal point)
Answer: 298.8 seconds
Step-by-step explanation: 4.98*60=298.8
Answer:
298.8
Step-by-step explanation:
4.98x60=298.8 so you have been understand
I am so confused with this can someone please help me?
The required coordinate of point H is given as (d+c, b), as per the given condition.
Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
As point H is collinear with point G so the y coordinate of the Point H is equal to y coordinate point G,
So
Y coordinate of point H = b
Now,
x coordinate of point H is given as,
Line GH is parallel with LINE FE
So, x-coordinate = FE = d-(-c) = d+ c
Thus, the required coordinate of point H is given as (d+c, b), as per the given condition.
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how many 5-letter passords can be made using the letters a thought z if... a) repetition of letters is allowed? b) repetition of letters is not allowed?
Answer:
Order is important: If allowed 11881376
Order is important:If rep. Is not allowed 7893600
Step-by-step explanation:
If the order isnt important and repetition is not allowed 65780
If order isn’t important and repetition is allowed 142506
Which of the values below will make -3x + 15 > 102 true?
A. -27
B.-28
C. -29
D. All of the above
Answer:
C. -29Step-by-step explanation:
\(-3x + 15 > 102\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\-3x+15-15>102-15\\\\Simplify\\\\-3x>87\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3x\right)\left(-1\right)<87\left(-1\right)\\\\Simplify\\\\3x<-87\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}<\frac{-87}{3}\\\\Simplify\\\\x<-29\)
Select the correct answer from each drop-down menu.
Tom used the following steps to find the inverse of fx), but he thinks he made an error.
Step 1
$(x) = 4x - 2
given
Step 2
y = 4x - 2
change f(x) to y
Step 3
= 4y - 2
switch r and y
Step 4
- 2 = 4y
subtract 2 from each side
Step 5
=y
divide each side by 4
Step 6
change y to y-1(x)
Answer:
Step 3.not switch the variables.Step-by-step explanation:
Tom wanted to find the inverse of f(x)= 4x - 2 using the steps in the attached image.
Tom's first mistake was in Step 3.
To correct the mistake, he should not switch the variables.
The correct procedure is:
Step 1 : Given
f(x) = 4x - 2
Step 2 : Change f(x) to y
y = 4x - 2
Step 3 : Add 2 to both sides
\(4x=y+ 2\)
Step 4: Divide each side by 4
\(x=\dfrac{y+2}{4}\)
Step 5: Change x to \(f^{-1}(x)\)
\(f^{-1}(x)=\dfrac{y+2}{4}\)
Create a system of equations that has a solution of (1, 2)
Fill in the blanks. To multiply a number by 0.01 move the decimal point ____ places to the _______. *
Answer:
To multiply a number by 0.01 move the decimal point 2 places to the left.
Step-by-step explanation:
for example, lets multiply 5 by 0.01
5 x 0.01=0.05
originally, 5 in decimal form is 5.0
when it is multiplied by 0.01, the decimal point moves first from 5.0 to 0.5, then 0.5 to 0.05
To multiply a number by 0.01 move the decimal point 2 places to the left.
What is a number system?A numeral system is a way of writing numbers; it's a way of mathematically notating a set of numbers by using a consistent set of digits or other symbols. In various numeral systems, the same set of symbols may represent various numbers.
For example, let's multiply 5 by 0.01
500 x 0.01 = 5
When the number 500 is multiplied by 0.01, the decimal point moves first from 500 to 5 means two places to the right.
Therefore, multiply a number by 0.01 and move the decimal point 2 places to the left.
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A triangle has sides with lengths of 8 feet, 12 feet, and 15 feet. Is it a right triangle?
Answer: No
Step-by-step explanation: because in order to find out if a triangle is a right triangle you use the Pythagorean Theron which is A squared+ B squared= C squared and since 8 times 8 is 64 and 12 times 12 is 144 if you add then it is 208 which is not equal to 225 to it isn’t a right triangle
Answer: No
Step-by-step explanation:
To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.
a^2 + b^2 = c^2
c is the hypotenuse, the longest side of a right triangle.
a and b are the legs of the right triangle.
8²+12²=15²
64+144=225
208 ≠ 225
Find an equation for the plane which is perpendicular to the plane 2x- y +3= = 6 and pass through 2 points (1.2.-3) and (-2,3,5) (Roughly draw the figure for easy to see the situation)
The equation of the plane that is perpendicular to the plane 2x - y + 3z = 6 and passes through the points (1, 2, -3) and (-2, 3, 5).
What is equation of plane?A plane's equation is a linear expression made up of the constants a, b, c, and d as well as the variables x, y, and z. The direction numbers of a vector perpendicular to the plane are represented by the coefficients a, b, and c. The constant d can be thought of as the distance along the normal vector of the plane from the origin.
To find an equation for the plane perpendicular to the plane 2x - y + 3z = 6 and passing through the points (1, 2, -3) and (-2, 3, 5), we can follow these steps:
1. Find the normal vector of the given plane:
The coefficients of x, y, and z in the equation 2x - y + 3z = 6 represent the components of the normal vector. So, the normal vector is (2, -1, 3).
2. Use the normal vector and one of the given points to form the equation of the plane:
Using the point (1, 2, -3), we have:
2(x - 1) - 1(y - 2) + 3(z + 3) = 0
2x - 2 - y + 2 + 3z + 9 = 0
2x - y + 3z + 9 = 0
This is the equation of the plane that is perpendicular to the plane 2x - y + 3z = 6 and passes through the points (1, 2, -3) and (-2, 3, 5).
Here is a rough sketch of the situation:
attached below
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Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.
36, 12, 4, ...
Answer:
Geometric and the ratio is 1/3
It is geometric because you are multiplying to get to the next number in the sequence. in order to get to the next number you have to multiply by 1/3. 36*1/3=12. 12*1/3=4.
Find the area of the region enclosed by the graphs of y
=13x/x^2+1 and y=13x/5
(Use symbolic notation and fractions where needed.)
=
The area of the region enclosed by the graphs of y = 13x/(x^2 + 1) and y = 13x/5 is (65π - 52) square units.
The area of the region enclosed by the two graphs, we need to determine the points of intersection. By setting the two equations equal to each other, we can solve for x:
13x/(x^2 + 1) = 13x/5
Multiplying both sides by (x^2 + 1) and 5 to eliminate the denominators, we have:
65x = x^2 + 1
Rearranging the equation, we get:
x^2 - 65x + 1 = 0
Using the quadratic formula, x = (65 ± sqrt(65^2 - 4))/2. However, only one of the solutions lies within the given range. Therefore, we can disregard the negative solution and consider the positive solution, x = (65 + sqrt(65^2 - 4))/2.
Next, we integrate the difference of the two functions from the x-coordinate of the intersection point to find the area enclosed. The integral expression is:
A = ∫[x=(65 + sqrt(65^2 - 4))/2]^5 [13x/5 - 13x/(x^2 + 1)] dx
Evaluating this integral, we obtain the area enclosed by the two curves. Simplifying the expression yields (65π - 52) square units.
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is housework hazardous to your health? a study in public health report compares the life expectancies of 25-year-old white women in the labor force with those who are housewives. how large a sample would have to be taken from each group in order for you to be 95% con dent that the estimate of the difference in mean life expectancies for the two group is within 1 year of the true difference? assume that equal sample sizes will be selected from the two groups and that the standard deviation for both groups is approximately 15 years.
the difference in mean life expectancies for the two groups is within 1 year of the true difference is 1729
Health issues can arise from substances other than chemicals like bleach. The way you clean your house and the environment in which you live both matters. Scientists caution that performing these tasks could have a detrimental effect on your health.
A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score.
Given data:
σ₁ = σ₂ = 15
n₁ = n₂ = n
Margin of error = 1
Confidence level = 95% = α = 1 - 0.95 = 0.05
z score of α / 2 = 0.05 / 2 = 1.96 , n₁ = n₂ = ?
For the difference of mean test, the margin of error will be:
E = z score α / 2 \(\sqrt \frac{(SD1)^{2} }{n1}+\sqrt \frac{(SD2)^{2} }{n2}\)
\(1 = 1.96 \sqrt\frac{(15)^{2} }{n} + \sqrt \frac{(15)^{2} }{n}\) [∵ n₁ = n₂ = n]
\(1 = 1.96 * 15 \sqrt \frac{2}{n}\)
1 = 41.58 / √n
√n = 41.58 / 1 = 41.58
On squaring both sides:
n = 1728.90 ≈ 1729
∴ n₁ = n₂ = 1729
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Roberto y Mónica tienen, entre los dos, $ 350.
La media de lo que tiene Roberto más lo de
Mónica es $ 225. ¿Qué cantidad de dinero
tiene cada uno?
Usando un sistema de ecuaciones, hay que Roberto tiene $250 y Monica tiene $100.
¿Qué es un sistema de ecuaciones?Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, las variables són:
Variable x: Cantidad de Roberto.Variable y: Cantidad de Monica.Roberto y Mónica tienen, entre los dos, $ 350, por eso:
x + y = 350 -> y = 350 - x
La media de lo que tiene Roberto más lo de Mónica es $ 225, por eso.
0.5x + y = 225
0.5x + 350 - x = 225
0.5x = 125
x = 250
y = 350 - x = 100
Roberto tiene $250 y Monica tiene $100.
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A(n) _____ is a tool used to measure or draw angles.
What is 1/4 of 32? Whoever answers first gets Brainliest.
Answer:
8
Step-by-step explanation:
it is
Answer:
8
Step-by-step explanation:
1/4 of 32
1/4 = 25%
25% of 32
32 × 25 ÷ 100
= 8
or
32 ÷ 4 =8
!GIVING BRAINLIST! PLEASE HELP
Drag the labels to the correct location on the table. Each label can be used more than once.
Identify the correct rhyme scheme for each excerpt.
abab
abcb
aabb
Answer:
For the first excerpt, the rhyme scheme is ABAB
For the second excerpt, the rhyme scheme is ABCB
For the third it is, AABB
For the Fourth it is, ABAB
For the Fifth it is, ABCB
Step-by-step explanation:
Hope this helped
A brainliest is always appreciated.
3. Shown above is the graph for which of the following equations?
O A. y=-x-3
O B.y=x+3
O C. y=x-3
O D.y=3-x
Using the equation of slope intercept form, the equation of the given graph is y=x-3.
In the given question we have to find equation of the given graph.
From the given graph the points are (3,0) and (0,-3).
We know the standrd equation of the line is y=mx+c
where m=slope and c=value of y at the y intercept form.
So the value of c= -3
Now finding the value of m.
m={y(2)-y(1)}/{x(2)-x(1)}
From the points, x(1)=3, x(2)=0, y(1)=0, y(2)= -3
Putting the value
m=(-3-0)/(0-3)
m=-3/-3
m=1
Now putting the value of m and c in the equation
y=mx+c
y=1*x+(-3)
y=x-3
Hence, the equation of the given graph is y=x-3.
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Choose the equation and the slope of the line that passes through (5, -3) and is perpendicular to the x-axis. A. Equation: x= -3 B. Slope: undefined C. Slope: 0 D. Equation: y = -3 E. Equation: x = 5 E Equation: y = 5
Anyone know this? Struggling highschool student here
The monthly payment for a 15-year term mortgage with a 15% down payment on a $315,200.00 purchase price for a household with a 711 credit score is $2,408.60.
Calculate the monthly payment?The monthly payment for a 15-year term mortgage with a 15% down payment on a $315,200.00 purchase price for a household with a 711 credit score is $2,408.60.To calculate this, first you must review the Monthly Principal & Interest Factor chart.Since the credit score is 711, this falls into the range of 710-729. For a 15-year term, the interest factor is 7.0.Once you have determined the interest factor, you can then calculate the monthly payment.To do this, you must subtract the 15% down payment of $47,280.00 from the purchase price of $315,200.00, which leaves $267,920.00.Then, you must multiply the $267,920.00 by the interest factor of 7.0 and divide it by 12 to get the monthly payment of $2,408.60.To learn more about The monthly payment refer to:
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Suppose you want to construct a 90% confidence interval for the average speed that cars travel on the highway. You want a margin of error of no more than plus or minus 0.5 mph and know that the standard deviation is 7 mph. At least how many cars must you clock?
To construct a 90% confidence interval for the average speed of cars on the highway with a margin of error no more than ±0.5 mph and a standard deviation of 7 mph, you must clock at least 339 cars.
Step 1: Identify the critical value (z-score) for a 90% confidence interval. This can be found in a standard z-table or using a calculator. The critical value for a 90% confidence interval is 1.645.
Step 2: Use the margin of error (E) formula to calculate the sample size (n):
E = (z * σ) / √n
Where E is the margin of error (0.5 mph), z is the critical value (1.645), σ is the standard deviation (7 mph), and n is the sample size.
Step 3: Rearrange the formula to solve for n:
n = (z * σ / E)^2
Step 4: Plug in the values and calculate the sample size:
n = (1.645 * 7 / 0.5)^2
n ≈ 338.89
Since the sample size must be a whole number, round up to the nearest whole number.
To construct a 90% confidence interval for the average speed of cars on the highway with a margin of error no more than ±0.5 mph and a standard deviation of 7 mph, you must clock at least 339 cars.
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