Therefore, the length of the c from the given figure comes out to be c= 10.63cm.
What is Pythagorean's Theorem ?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Here,
The hypotenuse, or longest side in a right triangle, is side c, which is our unknown. With the use of Pythagorean's Theorem, we have
[tex]7^{2} +8^{2} =c^{2}[/tex]
which simplifies to
[tex]7^{2} +8^{2} =c^{2}[/tex]
and
49 + 64 = [tex]c^{2}[/tex]
and
[tex]c^{2}[/tex] = 113
c = 10.63 cm
Therefore, the length of the c from the given figure comes out to be c= 10.63cm.
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Select that integer that matches the following situation:
I go for a hike in Colorado. The top of the mountain is , feet above sea level.
Question 4 options:
A: 144
B: 14,000
C: -14
D: -14,000
The integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
I go for a hike in Colorado. The top of the mountain is ___ feet above sea level.
We need to find the suitable integer in the blank.
The top of a mountain would be a high number above sea level, 144 is around ground level above sea level therefore the top of the mountain would be 14,000 feet above sea level
Hence, the integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.
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6. 42.3 × 1 =
42.3 x 10 =
42.3 × 10²
Answer:
Step-by-step explanation:
42.3 x 1 = 42.3
42.3 x 10= 423
42.3 x 10^2=
10 x 10 =100
42.3 x 100=4230
the assumptions that z2 and z3 do not appear in the model and are uncorrelated with the error u1 are known as
z2and z3 are uncorrelated with the error u1 are known as are known as exclusion restrictions
What is Exclusion Restrictions?
Most undergraduate econometric curricula cover the use of instrumental variables as a typical method for determining a variable's causal relationship to another variable. The fundamental tenet of the approach is that it can be applied in circumstances when a source of exogenous variation in X cannot be identified. Instead, a third variable called the instrument, Z, is utilized, where Z only influences Y by acting through X.
When estimating outcomes using instrumental variables (IV) or exogenous variables, which are used in many fields of research, including statistics and economics, researchers rely on proper exclusion limits.
the assumptions that z2 and z3 do not appear in the model
Hence z2and z3 are uncorrelated with the error u1 are known as are known as exclusion restrictions.
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The equation for QR is 5y = -4x + 41. Is QR tangent to Circle O at R?
R (4,5)
4X
No, because the slope of OR times the slope of QR
does not equal -1.
Yes, because the slope of OR times the slope of
QR equals 1.
Yes, because the slope of OR times the slope of
QR equals -1.
No, because the slope of OR times the slope of QR
does not equal 1.
Done)
Yes, because the slope of OR times the slope of
QR equals -1.
Option C is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of QR is 5y = -4x + 41.
QR is tangent to the circle at R(4, 5) if the radius of the circle is perpendicular to QR.
This means,
The slope of the radius x Slope of the line QR = -1
Now,
The centre of the radius 0 = (0, 0)
R = (4, 5)
OR is the radius.
The slope of the radius.
= 5/4
Now,
5y = -4x + 41
y = (-4/5)x + 41
The slope of QR.
= (-4/5)
Now,
The slope of the radius x Slope of the line QR = -1
5/4 x -4/5 = -1
-1 = -1
Thus,
QR is tangent to the circle O at R(4, 5).
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Can we construct a quadrilateral when its four sides and one diagonal is given *?
Yes, construction of a quadrilateral is possible when the four sides and one of the diagonal of the quadrilateral is given.
Step by Step explanation:
Steps of constructions of a quadrilateral with four given sides and one given diagonal is as follow :
Draw a ray AB and take 'A' as center and mark an arc on AB with the given measurement and name it B.Now through center A mark an arc of diagonal measurement.Take B as center and intersect the arc of diagonal by another arc of measure BC.Name intersecting point of diagonal and side BC as point C.Take 'C' as center and cut an arc of measure CD.Take 'A' as center and cut an arc of measure AD.Join AB, BC, CD, DA and diagonal AC.Therefore, construction of quadrilateral is possible with four sides and given diagonal.
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How do you make a table of values for a linear relationship?
To make a table of values for a linear relationship;
Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value
Given,
Linear relationship;
A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.
Here,
We have to make a table of values for a linear relationship;
Make the table and select a range of x values. Fill in the equation with each x value from the left side column. To determine the y value, evaluate the equation in the middle column.Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.Learn more about linear relationship here;
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The base of a triangle is decreasing at a rate of 131313 millimeters per minute and the height of the triangle is increasing at a rate of 666 millimeters per minute. At a certain instant, the base is 555 millimeters and the height is 111 millimeter. What is the rate of change of the area of the triangle at that instant (in square millimeters per minute)?.
The rate of change of the area of the triangle at that instant is 8.5 square mm per minute.
A' = (1/2)(b'h +bh') . differentiating with respect to time
A' = (1/2)((-13)(1) +(5)(6)) = (1/2)(17) = 8.5 . . . . mm²/min
The area is increasing at the rate of 8.5 mm²/min.
Solution based on numbers
Take a look at the triangle dimensions.
01 minute before and 01 minutes after the moment of interest Previously, the base was 5 + 0.13 = 5.13 mm, while the height was 1 - 0.06 = 0.94 mm. After: base = 5 -0.13 = 4.87 mm; height = 1 +.06 = 1.06 mm; area = 2.4111 mm2. 2.5811 mm2 area
The average rate of change throughout that time period is (2.5811 -2.4111)/0.02 =.17/.02 = 8.5... mm2/min.
It should be noted that we assumed the base is dropping at a rate of 13 mm/min. We're not sure whether this isn't 1/3 mm/min because division bars frequently get lost on Brainly. At the anticipated pace, the triangle will vanish in 5/13 minutes, or around 23.08 seconds, when the base reaches zero. Of course, it only existed for 1/6 minute (10 seconds) when the height reached non-zero.
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Arianna wants to start her beautician career in a reputable salon. She must pay $350 per month to rent her station space, $85 per month for the shared salon products and $182 start-up styling kit. Arianna has $623 in her savings account. How much will be left in her savings account after she pays for the above expenses?
Responses
$6
$6
$617
$617
$706
$706
$1240
Answer:
$6
Step-by-step explanation:
Plot all of the ordered pairs for the values in the domain. D: {-6, -5, -2, 0, 1}.
The possible ordered pairs set for the values in domain D is {(-6,11),(-5,9),(-2,3),(0,-1),(1,-3)}. The above graph shows the plot of these ordered pairs.
We have given that
y = -2x - 1 --(1)
Domain , D = {-6, -5, -2, 0, 1}
now, we find out the values of y for corresponding to given domain value.
put x = -6 in equation (1)y = -2(-6) -1 = 11
the first ordered pair is (-6,11).
put x = -5 theny = -2(-5) - 1 = 9
The second order pair is (-5,9).
put x = -2 in equation (1)y = -2(-2) - 1 = 3
The third ordered pair is (-2,3).
put x = 0y = 0 -1 = -1
The fourth ordered pair is (0, -1).
put x = 1y = -2(1) - 1 = -3
The fifth ordered pair is ( 1, -3).
Now, we get all the possible ordered pairs from domain for plotting.
We can easily plot these points on 2-D graph taking y values on y-axis and domain points on x-axis.
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Complete question:
Use the drawing tools to form the correct answers on the graph. Consider this linear function: y = -2x - 1
Plot all of the ordered pairs for the values in the domain. D: {-6, -5, -2, 0, 1} Drawing Tools Click on a tool to begin drawing. (Plato)
Middle School Problem: A frog stands at the number 0 on a number line and wants to hop to the number 8. He can hop 1, 2, 3 units forward in a single jump. How many different ways are there for him to reach the number 8?
Answer: There will be 3 different ways for the frog to reach the number 8
Step-by-step explanation:
It's a simple addition, just add 3+2+3 which will equal 8. You can also look at a number line and do it that way. Hope this helps!
Solve for X in Circle A
The value of x, if In triangle ABC, AC = 18, BC = 30 is 24.
What is circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
In triangle ABC, AC = 18, BC = 30
As we know, if a tangent is drawn from the circle then it will form a right-angled triangle thus, ∠ ABC = 90°,
Calculate the value of x by using Pythagoras' theorem as shown below,
[tex]x^2 = BC^2 - AC^2[/tex]
x² = 30² - 18²
x = √(900 - 324)
x = √576
x = 24
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what is the answer to 17 divided by 1699
The answer is 99 and the remainder is 16
The ages of the workers at a small company are given in the table.
Find the median age of the employees.
Employees’ Ages
17 22 56 45 34
18 21 62 25 29
Median
The median In
those years is?
The median of the employees' ages is 27.
What is median?The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.
The ages of the workers at a small company are given.
Employees’ ages are 17, 22, 56, 45, 34, 18, 21, 62, 25, 29.
To find the median,
firstly, arrange the data points in ascending order.
17, 18, 21, 22, 25, 29, 34, 45, 56, 62.
The total element in the data set is 10.
And 10 is an even number.
Then the median is the simple average of the middle two numbers.
And the middle numbers are 25 and 29.
So, 25 + 29 / 2
= 54/2 = 27
Therefore, the median is 14.
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a speed walker covered 4 1/2mi in 3/4 hour how far will he walk in 3/4 hour if he walks twice as fast
To find the speed of the walker, divide distance by time.
Distance = 4.5 miles
Time = 0.75 hours
Speed = 4.5/0.75
Speed = 6 mph
If walking twice as fast, speed = 12 mph
Distance given speed and time is time multiplied by speed
0.75 * 12 = 9 miles.
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
find each angle measure to the nearest degree tan b= 0.7536
Answer: b≈37°
Step-by-step explanation:
tg(b)=0.7536
b=arctg(0,7536)
b≈37°
A chool i arranging a field trip to the zoo. The chool pend 778. 88 dollar on pae for 28 tudent and 4 teacher. The chool alo pend 241. 64 dollar on lunch for jut the tudent. How much money wa pent on a pa and lunch for each tudent?
$24.34 on each student on pae and $7.55125 is spent on each student on lunch.
What is money in simple words?Money is a good that is widely acknowledged as a means of economic exchange.
How do you solve money in math?Word problems in math with moneyDetermine what the word puzzle is trying to say.Make a note of the question's essential phrases.Using the information provided in the problem, write the equation.Use the appropriate operation to solve the equation and arrive at the answer.Verify your efforts, then analyze the response.
there are 32 people all together in a field trip to the zoo
so therefore;
Amount spent on a student for pae:
$778.88=32 people
x = 1 person
cross multiply
32x=$778.88
divide both sides by 32
x=778.88/32
x=$24.34
therefore $24.34 is spent on each student on pae
Amount spent on a student for lunch:
$241.64=32 people
x = 1 person
cross multiply
32x=$241.64
divide both sides by 32
x=$241.64/32
x=$7.55125
therefore $7.55125 is spent on each student on lunch.
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1. do you think that a sample of 800 residents of a city with a population of 150, 000 is a large enough sample to analyze the voting habits of all residents? you know that those 800 people all answered a phone survey administered via a landline. i am concerned about selection bias, representativeness of the sample, and external validity of the study. do you think my concerns are valid? can you offer solutions that would allow me to work with the data set and not go out and survey additional residents?
The sample of 800 residents to analyze the voting habit is not large enough because there can be a selection bias the solution is explained below.
In the question ,
it is given that ,
a sample of 800 residents of a city is taken to analyze the voting habits of all the residents ,
the population of the city is given as 150000 residents ,
In general, a sample of 800 people in a city of 150,000 is not large enough to analyze the voting habits. With the given sample size, there is a high chance that we will miss out to analyze many people with different voting habits.
If the margin of error in analyzing the voting habits is very large , then only we can consider a sample of 800 people.
Therefore , the sample of 800residents can only be considered if the margin of error is very high .
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The equation for line c can be written as y= 3 4 x–2. Line d, which is perpendicular to line c, includes the point (6, – 3). What is the equation of line d?
The equation of line d is perpendicular to line c is y=-4/3 x+5.
The equation of line is y=3/4 x-2.
What is slope of a line?The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line.
In the equation of line is y=3/4 x-2, slope=m=3/4
The slope of a line perpendicular to given line is m1=-1/m2
So, the slope of a perpendicular line is -4/3
Substitute m=-4/3 and (x, y)=(6, -3) in y=mx+c, we get
-3=-4/3 (6)+c
⇒ -3=-8+c
⇒ c=5
Now, substitute m=-4/3 and c=5 in y=mx+c, we get
y=-4/3 x+5
Therefore, the equation of line d is perpendicular to line c is y=-4/3 x+5.
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ASAP PLEASE HELP A satellite orbiting Earth at an orbital radius r has a velocity v. What would the velocity be if the satellite is moved to an orbital radius of 6r?(1 point)
A. 1/6 v
B. 1/√6 v
C. √6v
D. 6v
New orbital Velocity is [tex]\frac{1}{\sqrt{6} }[/tex] times the Actual orbital velocity
What is Orbital Velocity ?The speed at which one body orbits the other body is known as the orbital velocity. The term "orbit" refers to an object's consistent circular motion around the Earth. The distance between the object and the earth's center determines the orbit's velocity.
According to the given information
When the radius given is r
Orbital Velocity = [tex]\sqrt{\frac{Gm}{r} }[/tex]
V = [tex]\sqrt{\frac{Gm}{r} }[/tex]
Here
V = orbital Velocity
G = Gravitational Constant
m = mass of Satellite
r = radius
When radius = 6r
Orbital Velocity = [tex]\sqrt{\frac{Gm}{5r} }[/tex]
New V = [tex]\frac{1}{\sqrt{6} }[/tex] × [tex]\sqrt{\frac{Gm}{r} }[/tex]
New V = [tex]\frac{1}{\sqrt{6} }[/tex] × V
So
New orbital Velocity is [tex]\frac{1}{\sqrt{6} }[/tex] times the Actual orbital velocity
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PLEASE ANSWER BOTH CORECTLY
The values of x in the cyclic quadrilateral are 6.67 and 25 and the angle
m∠ ACB is 115°
Cyclic QuadrilateralA cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral. The circle which consists of all the vertices of any polygon on its circumference is known as the circumcircle.
1)
To find the value of x
12/8 = 10 / x
x = 20 / 3
x = 6.67
2) To find x;
(4x + 15)° + (6x + 3)° + 92° = 360°
Sum of angles in a circle is 360°
4x + 15 + 6x + 3 + 92 = 360
10x + 110 = 360
10x = 250
x = 25
The value of m ∠ACB in the quadrilateral = 4x + 15
m∠ ACB = 4(25) + 15
m ∠ ACB = 115°
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What is the slope of the line that passes through the points (9, 1) and (10, -1)?
Write your answer in simplest form.
Answer: 81.9 ??
Step-by-step explanation:
What is the value of 5 (!)?
Answer:
120
Step-by-step explanation:
Let's assume that "5 (!)" is 5! (5 factorial)
5*4*3*2*1 = 120
gwen is interested in the effect of bananas on the speed and endurance of high school cheerleaders. she recruits 20 cheerleaders from high schools in california. each cheerleader was asked to run as many laps as they could in 20 minutes on a standard 100m track. two weeks later the same cheerleaders were asked to run as many laps as they could in 20 minutes, but were asked to eat a banana 10 minutes prior to starting. the number of laps completed (to the nearest quarter lap) was recorded. what is the sample of this study?
Therefore the answer to the problem is that the sample taken for study is 20 cheerleaders .
What is sample?A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.
Here,
The sample of this study is the 20 cheerleaders which are taken for study.
Explanation: As the study of banana effect on speed and endurance of high school cheerleaders is been studied on the 20 selected cheerleaders from high schools in california so, as they are only 20 cheerleaders not all cheerleaders from california thus, the sample available is 20 cheerleaders so answer of sample becomes 20 cheerleaders.
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a manager wants to build 3-sigma x-bar control limits for a process. the target value for the mean of the process is 50 units, and the standard deviation of the process is 8. if samples of size 16 are to be taken, what will be the upper and lower control limits, respectively?
The upper limit and lower control limits will be 56 and 44 respectively.
What is statistical process control ?
When the process is under control, there will be a high possibility that the value of the sample mean will fall between the two control limits, which is why the lower line, also known as the lower control limit, was chosen.
Mean = 50
Sample size = 16
Standard deviation = 8
We need to find the upper and lower control limits.
So, Lower limit would be
= x - 3×σ÷
= 50 - 3×8÷
= 50 - 3×2
= 50 - 6
= 44
Upper limit would be
= x + 3×σ÷
= 50 + 3×8÷
= 50 + 3×2
= 50 + 6
= 56
The upper and lower control limits of process will be 56 and 44 respectively
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Is 1 square or prime?
The number 1 is a square number but not a prime number.
Any integer with the notation n×n or n² is referred to as a square number. When a number is multiplied by itself, the outcome is a square number. Here, 1 is a square number because 1×1=1 is the number itself.
Prime numbers are those that have just two elements, one and themselves. They are natural numbers bigger than one that is not the sum of two smaller natural numbers. Here, 1 is not a prime number because they have only one factor which is 1, not two factors.
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question 31 pts a fair six-sided die is tossed 300 times. find the expected value of the sample mean of the values obtained in these 300 tosses (write it up to first decimal place).
The expected value of the sample mean of the values obtained in these 300 tosses is 3.5
Given :
A fair six sided die is tossed 300 times
We have to find the expected value of the sample mean of the values obtained in these 300 tosses.
A dice have six sides:
In a fair dice every side has equal chance of occurrence,
Now the probability of presence of each side = 1/6
Now the expected value of the sample mean of the values obtained in these 300 tosses is given by:
E(x) = Σx P(x =x)
= 1*1/6 + 2*1/6 + 3*1/6 + 4*1/6 + 5*1/6 + 6*1/6
= 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6
= 1/6 (1+2+3+4+5+6)
= 1/6 (21)
= 21/6
E(x) = 3.5
Hence, the expected value of the sample mean of the values obtained in these 300 tosses is 3.5
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a force of 6 pounds compresses a 16-inch spring 4 inches. how much work is done in compressing the spring from a length of 10 inches to a length of 5 inches?
The amount of work done in compressing the spring from a length of 10 inches to a length of 5 inches is 63.75 in-lb .
In the question ,
it is given that ,
a force of 6 pounds compresses a 16-inch spring 4 inches ;
we know that F = k*x
So , 6 = k*4
k = 6/4 lb/inch .
Work done in compressing spring from 10 inches to 5 inches is
W = ∫₆¹¹ kx dx .
W = k[x²/2]₆¹¹ = (k/2)*[121 - 36] = 85k/2 .
Substituting the value of k = 6/4 , we get
the Work Done is = 85/2 × 6/4 = 63.75 in-lb .
Therefore , the work done in compression is 63.75 in-lb .
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What is the opposite of point C on the number line?
Question 1 options:
A: -8
B: -4
C: 14
D: 4
Its -14 :>
Randoml spam letters bc it asked me to
Answer:
D
Step-by-step explanation:
C is the point - 4
the opposite of a number is its negative , that is
- (- 4) = + 4
the opposite of point C is therefore 4
What is the perimeter of figure I?
In geometry, the perimeter is the overall length of a shape's boundary. The perimeter of a shape is determined by adding the lengths of all of its edges and sides. 28 units make up Figure I's perimeter.
Its dimensions are expressed in linear units like centimetres, metres, inches, and feet. A rectangle in Figure I has four sides that are 8 units, 6 units, 6 units, and 8 units in length. You must total the lengths of all four sides in order to get a rectangle's perimeter. Figure I's perimeter is 8 + 6 + 6 + 8 units, or 28 units.
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i have pieces of strawberry candy (all identical) and pieces of rhubarb candy (all identical). find the number of ways i can distribute this candy to children, if it's ok to not give a child any candy.
If there are 8 pieces of strawberry candy and 7 pieces of rhubarb candy then I have 77 different methods to give this candy to kids who have donated $5.
Number of strawberry candy = 8 pieces
Number of rhubarb candy = 7 pieces
Find the number of ways for equally distributing candy to all 5 children
Using formula:
→ ⁿCr = n!/r(n-r)!
= 8!/5!3!
= 8×7×6×5!/5! 3 × 2 ×1
= 8×7×6/6
= 56
Calculating the distributing way to rhubarb candy:
→ ⁿCr = n!/r(n-r)!
= 7!/5!2!
= 7×6×5!/5! × 2 ×1
= 7×6/2
= 21
Adding both distributing ways:
56+21 = 77 ways
Hence we get the required answer.
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Your question is incomplete. Please find the missing content below.
I have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). Find the number of ways I can distribute this candy to $5$ children.