Answer:
pata nahi
Mark me as a brainliest
A right triangle has vertices (−7,9),(3,9),(−7,−15). Find the perimeter of the triangle.
The perimeter of a triangle is 60 units if the right triangle has the vertices (-7, 9), (3, 9), (-7, -15).
What is meant by perimeter?The perimeter calculation has various practical uses. A calculated perimeter is the length of fencing required to encircle a yard or garden. The circumference (perimeter) of a wheel/circle specifies how far it will roll in one revolution.
If the lengths of the triangle's sides are a, b, and c, the perimeter is the sum of their lengths:
P = a + b + c
The distance formula can be used to calculate any of the side lengths. However, because two of the sides are parallel to the axes, their lengths may be simply calculated by subtracting coordinates.
If the points are designated A, B, and C in that sequence, the two right-angle sides are as follows:
c = AB
= 3 -(-7)
= 10
b = AC
= 9 -(-15)
= 24
The Pythagorean theorem states that the third side of the relation can be found:
a² = b² +c²
a² = 10² +24² = 676
a=√676
a= 26
Now we can plug these numbers into the perimeter formula:
P = a + b + c = 26 + 24 + 10
P = 60
As a result, the perimeter of a triangle is 60 units.
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A 4% error is made in measuring
the radius of a sphere. Find the
Percentage error in the surface
area.
Answer:
8.51%
Step-by-step explanation:
Let us assume the radius of the sphere is r. The surface area of a sphere is:
Surface area = 4πr².
There is a 4% error in the measurement of the radius, therefore the radius being measured = (100% - 4%)r = (96%)r = 0.96r
The surface area as a result of error is:
Surface area after measurement = 4π(0.96r)² = 3.6864πr²
The percentage error is the ratio of the difference between the actual and measured value to the measured value. It is given as:
[tex]Percent\ error =\frac{Actual\ area-Measured\ area}{Measured \ area}*100\%\\ \\Percent\ error =\frac{4\pi r^2-3.6864\pi r^2}{3.6864\pi r^2}*100\%\\ \\Percent\ error =\frac{0.3136\pi r^2}{3.6864\pi r^2}*100\%\\ \\Percent\ error =0.0851*100\%\\\\Percent\ error =8.51\%[/tex]
what is 1.13 times 0.001
Find the recursive formula for this general term formula. [tex]t_{n} = n!/9^{-(n-1)}, n\geq 3[/tex]
Please help. Will select brainliest.
Answer:
Heptagon: D
Spetagon: D
Nonagon: B
determine whether y = 4x+5 and y= 1/4x-2 are perpendicular
Answer:
No, they are not perpendicular
Step-by-step explanation:
Perpendicular lines will have opposite reciprocal slopes, meaning that the slopes will have opposite signs and be the reciprocals of each other.
We can see that the slopes of the lines are not opposite reciprocals.
4 and 1/4 are not opposite reciprocals because they do not have opposite signs.
5. Evaluate
a) (-3)²/(-9/4)²
Answer:
16/9
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Exponents
(-3)² = 9
(-9/4)² = 81/16
9/81/16
Step 2: KCF (Keep Change Flip)
9(16/81)
144/81
Step 3: Simplify
144/9 = 16
81/9 = 9
16/9
pt 2 6-7 Pleaseee Helpp
Answer:
w = 15
Step-by-step explanation:
5
x ___w___ = 3 x 5
5
w = 15
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------
Answer: w = 15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]\frac{w}{5} = 3[/tex]
Multiply both sides by 5.
[tex]w = 3 \times 5[/tex]
Multiply 3 and 5 to get, you guessed it, 15!If you roll a 6-sided die 4 times, what is the probability of one roll being a multiple of 3? A)2/3 B)16/81 C)145/1296 D)65/81 E)625/1296 (I really need help! Pls answer fast!)
Answer:
671/1296
The probability of rolling at least one six is therefore 1 − 625/1296 = 671/1296 ≈ . 517.
Step-by-step explanation:
Answer:
671/1296
Step-by-step explanation:
A line slope of 2 passes through the point (4,8). What is the equation in slope-intercept form?
rw/6+y=f And I have to solve for y so I’m confused on how to isolate it.
Answer:
The answer is
[tex]y = \frac{rw - 6f}{f} [/tex]Step-by-step explanation:
[tex] \frac{rw}{6 + y} = f[/tex]Cross multiply
We have
f(6 + y) = rw
6f + fy = rw
Move 6f to the right side of the equation to make fy stand alone
That's
fy = rw - 6f
Divide both sides by f to isolate y
That's
[tex] \frac{fy}{f} = \frac{rw - 6f}{f} [/tex]We have the final answer as
[tex]y = \frac{rw - 6f}{f} [/tex]Hope this helps you
What is the distance between point (6, -1) and point (5, 3) rounded to the nearest tenth?
Answer:
The answer is
4.1 units
Step-by-step explanation:
The distance between two points can be found using the formula
[tex] \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } [/tex]where
( x1 , y1) and ( x2 , y2) are the points
From the question
The points are (6, -1) and (5, 3)
The distance between the points is
[tex] \sqrt{( {6 - 5})^{2} + ({ - 3 - 1})^{2} } [/tex][tex] = \sqrt{ {1}^{2} + ( { - 4})^{2} } [/tex][tex] = \sqrt{1 + 16} [/tex][tex] = \sqrt{17} [/tex]= 4.123105
We have the final answer as
4.1 unitsHope this helps you
Given that Cos60=sin30=1/2 and cos30=sin60=root3/2.Evaluate tan60-1/1-tan30
Answer:
1/2
Step-by-step explanation:
The value of the given expression is 1 / √3.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
The given values are cos60=sin30=1/2 and cos30=sin60=√3/2.
Divide sin30 and cos30,
[tex]\dfrac{sin30}{cos30}=tan30 = \dfrac{\dfrac{1}{2}}{\dfrac{2}{\sqrt{3}}}=\dfrac{1}{\sqrt{3}}[/tex]
Divide sin60 and cos60.
[tex]\dfrac{sin60}{cos60}=tan60 = \dfrac{\dfrac{2}{\sqrt{3}}}{\dfrac{1}{2}}= \sqrt3[/tex]
The value of the expression is.
[tex]\dfrac{ tan60-1}{1-tan30}=\dfrac{\sqrt{3}-1}{\sqrt{3}-1}}\times \dfrac{1}{\sqrt{3}}=\dfrac{1}{\sqrt{3}}[/tex]
Therefore, the value of the given expression is 1 / √3.
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Luke is 5 years younger than 3 times Sydney's age, s. In this situation, what does 3s represent?
0 Luke's age
O Sydney's age
o three times Luke's age
O three times Sydney's age
Answer:
Step-by-step explanation:
'3s' represents 'three times Sydney's age.'
Answer:
three times Sydney's age
Step-by-step explanation:
i took a test on this
Please Help With This Problem
Show Work
Answer:
$64,800
Step-by-step explanation:
First, we calculate the total she pays all three employees in 1 month.
$2300 + $1700 + $1400 = $5400
Since there are 12 months in 1 year, we multiply the total monthly wages by 12 to find the total yearly wages.
12 * $5400 = $64,800
Answer: $64,800
a kayak travels in a lake at an average speed of 35m/min. if the perimeter of a lake was 8400 m how many hours does it take for the kayak to travel around the whole lake
Answer:
I think Its 4hrs
Step-by-step explanation:
8400m÷ 35m = 240mins
240mins= 4hrs
Which number best represents the slope of the graphed line?
Answer:
the answer is A.
Step-by-step explanation:
for every time you move over one in the x axis you move down 5 on the y axis
Which of the following inequalities matches the graph?
Answer:
The last option y<4. Y is less than 4 since the shaded region is below 4 on the y Axis.
Answer: D y <4
Step-by-step explanation:
The line is horizontally passing through the 4 which is the y intercept and all the solutions are less than 4.
part 6: please assist me with these problems
Answer: 12) 34° 13) 90°
Step-by-step explanation:
[tex]\text{Law of Sines:}\quad \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
12) Given: a = 10.2, b = 6.8, A = 122°
[tex]\dfrac{\sin 122^o}{10.2}=\dfrac{\sin B}{6.8}\\\\\\\dfrac{6.8\sin 122^o}{10.2}=\sin B\\\\\\\sin^{-1}\bigg(\dfrac{6.8\sin 122^o}{10.2}\bigg)=B\\\\\\34.4^o=B[/tex]
*****************************************************************************
Law of Cosines: a² = b² + c² - 2bc · cos A
Note: The letters can be swapped
13) Given: a = 3, b = 4, c = 5, C = ???
3² = 4² + 5² - 2(4)(5) · cos C
9 = 16 + 25 - 40 cos C
9 = 41 - 40 cos C
-32 = -40 cos C
0.8 = cos C
90° = C
Find the a. MEAN and b. STANDARD DEVIATION for the data set. Round to two decimal places.
10) Country Number of Television Sets per 100 people
A 124
B 94
C 129
D 109
E 114
A) a. 115
b. 13.69
B)
a. 114
b. 13.69
C)
a. 114
b. 169
D) a. 113
b. 13.69
Provide an appropriate response.
11) If an adult male is told that his height is within 2 standard deviations of the mean of the normal distribution of heights of adult males, what can he assume?
A) His height measurement is in the same range as about 99.7% of the other adult males whose heights were measured.
B) His height measurement is in the same range as about 95% of the other adult males whose heights were measured.
C) He is taller than about 99.7% of the other men whose heights were measured.
D) He is taller than about 95% of the other men whose heights were measured. The scores on a driver's test are normally distributed with a mean of 100. Find the score that is:_____
12) Find the score that is 2 standard deviations below the mean, if the standard deviation is 26.
A) 126
B) 48
C) 152
D) 74
Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid:____
13) between $147,700 and $152,300 if the standard deviation is $2300.
A) 34%
B) 95%
C) 99.7%
D) 68%
14) more than $154,800 if the standard deviation is $2400.
A) 95%
B) 2.5%
C) 47.5%
D) 97.5%
A set of data items is normally distributed with a mean of 60. Convert the data item to a z-score, if the standard deviation is as given. 15) data item: 100; standard deviation:_____
a) 10
b) 40
c) 10
d) 4/3
Answer:
Explained below.
Step-by-step explanation:
(10)
The data set is:
S = {124, 94, 129, 109, 114}
The mean and standard deviation are:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{5}\times [124+94+...+114]=114\\\\s=\sqrt{\frac{1}{n-1}\sum ( x-\bar x)^{2}}[/tex]
[tex]=\sqrt{\frac{1}{5-1}\times [(124-114)^{2}+(94-114)^{2}+...+(114-114)^{2}]}\\=\sqrt{\frac{750}{4}}\\=13.6931\\\approx 13.69[/tex]
The correct option is B.
(11)
According to the Empirical 95% of the data for a Normal distribution are within 2 standard deviations of the mean.
So, the adult male's height is in the same range as about 95% of the other adult males whose heights were measured.
The correct option is B.
(12)
Let the score be X.
Given:
μ = 100
σ = 26
[tex]X=\mu-2\sigma[/tex]
[tex]=100-(2\times 26)\\=100-52\\=48[/tex]
The correct option is B.
(13)
Let X be the prices of a certain model of new homes.
Given: [tex]X\sim N(150000, 2300^{2})[/tex]
Compute the percentage of buyers who paid between $147,700 and $152,300 as follows:
[tex]P(147700<X<152300)=P(\frac{147700-150000}{2300}<\frac{X-\mu}{\sigma}<\frac{152300-150000}{2300})[/tex]
[tex]=P(-1<Z<1)\\=0.68\\[/tex]
According to the 68-95-99.7, 68% of the data for a Normal distribution are within 1 standard deviations of the mean.
The correct option is D.
(14)
Compute the percentage of buyers who paid more than $154,800 as follows:
[tex]P(X>154800)=P(\frac{X-\mu}{\sigma}>\frac{154800-150000}{2400})[/tex]
[tex]=P(Z>2)\\=0.975\\[/tex]
According to the 68-95-99.7, 95% of the data for a Normal distribution are within 2 standard deviations of the mean. Then the percentage of data above 2 standard deviations of the mean will be 97.5% and below 2 standard deviations of the mean will be 2.5%.
The correct option is D.
(15)
The z-score is given as follows:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
What is value of
X+8
Enter your answer in the box
2x-5
B
10
14
Plz help
Answer:
not 100% but i think x may be 23.5
Step-by-step explanation:
The values of (x+8) and (2x-5) are 35 and 49 respectively.
What is a triangle?A triangle is defined as a two-dimensional shape with three sides, three interior angles, and three vertices.
Given a triangle, ABC
We have,
(x+8)/10 = (2x-5)/14
7x+56 = 10x-25
3x = 81
x = 27
X+8 = 35
2x-5 = 49
Hence, The values of (x+8) and (2x-5) are 35 and 49 respectively.
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The number of customers that visit a local small business is 51,200 and has been continuously declining at a rate of 3.8% each year. What is the approximate number of
customers that visit the business in 14 years?
Answer:
Final amount of customers =30141.44
Step-by-step explanation:
Amount of customer remaining
A= p(1-r/n)^(nt)
P= initial amount of customers
R= rate but it's a negative rate
N= number of times
T= number of years
A= final amount of customers
A= p(1-r/n)^(nt)
A= 51200(1-0.038/14)^(14*14)
A= 51200(1-0.0027)^196
A= 51200(0.9973)^196
A= 51200(0.5887)
A= 30141.44
2. What is the sum of the three solutions (find the values for x, y, and z, then add the answers)?
2x + 3y − z = 5 x
− 3y + 2z = −6
3x + y − 4z = −8
please show steps
Answer:
x = 30/7 , y = 46/7 , z = 48/7
Step-by-step explanation:
Solve the following system:
{2 x + 3 y - z = 5 x | (equation 1)
2 z - 3 y = -6 | (equation 2)
3 x + y - 4 z = -8 | (equation 3)
Express the system in standard form:
{-(3 x) + 3 y - z = 0 | (equation 1)
0 x - 3 y + 2 z = -6 | (equation 2)
3 x + y - 4 z = -8 | (equation 3)
Add equation 1 to equation 3:
{-(3 x) + 3 y - z = 0 | (equation 1)
0 x - 3 y + 2 z = -6 | (equation 2)
0 x+4 y - 5 z = -8 | (equation 3)
Swap equation 2 with equation 3:
{-(3 x) + 3 y - z = 0 | (equation 1)
0 x+4 y - 5 z = -8 | (equation 2)
0 x - 3 y + 2 z = -6 | (equation 3)
Add 3/4 × (equation 2) to equation 3:
{-(3 x) + 3 y - z = 0 | (equation 1)
0 x+4 y - 5 z = -8 | (equation 2)
0 x+0 y - (7 z)/4 = -12 | (equation 3)
Multiply equation 3 by -4:
{-(3 x) + 3 y - z = 0 | (equation 1)
0 x+4 y - 5 z = -8 | (equation 2)
0 x+0 y+7 z = 48 | (equation 3)
Divide equation 3 by 7:
{-(3 x) + 3 y - z = 0 | (equation 1)
0 x+4 y - 5 z = -8 | (equation 2)
0 x+0 y+z = 48/7 | (equation 3)
Add 5 × (equation 3) to equation 2:
{-(3 x) + 3 y - z = 0 | (equation 1)
0 x+4 y+0 z = 184/7 | (equation 2)
0 x+0 y+z = 48/7 | (equation 3)
Divide equation 2 by 4:
{-(3 x) + 3 y - z = 0 | (equation 1)
0 x+y+0 z = 46/7 | (equation 2)
0 x+0 y+z = 48/7 | (equation 3)
Subtract 3 × (equation 2) from equation 1:
{-(3 x) + 0 y - z = -138/7 | (equation 1)
0 x+y+0 z = 46/7 | (equation 2)
0 x+0 y+z = 48/7 | (equation 3)
Add equation 3 to equation 1:
{-(3 x)+0 y+0 z = -90/7 | (equation 1)
0 x+y+0 z = 46/7 | (equation 2)
0 x+0 y+z = 48/7 | (equation 3)
Divide equation 1 by -3:
{x+0 y+0 z = 30/7 | (equation 1)
0 x+y+0 z = 46/7 | (equation 2)
0 x+0 y+z = 48/7 | (equation 3)
Collect results:
Answer: {x = 30/7 , y = 46/7 , z = 48/7
Pre Calc Introduction to Derivatives-Using Limits Help!
Answer:
Attachment 1 : Option A,
Attachment 2 : Option D,
Attachment 3 : Option B,
Attachment 4 : Instantaneous rate of change will be 24
Step-by-step explanation:
"Remember that we can solve such questions by finding the derivative first"
1 : Let's consider this approach a bit differently. If we were to graph this function, we would see that the point (-2,26) would lie on the curve having a negative slope.
The rate of change would thus be negative, eliminating choices b and d. And, the slope of this function would be much greater than 4 due to the coefficient of " 5 " in f(x) = 5x² + 6. Hence our answer will be option a.
2 : f'(5) = - 2 * 5 + 4,
f'(5) = - 10 + 4 = - 6
Your solution is option d.
3 : f'(2) = 12 / 2 + 1 / - 3,
f'(2) = 12 / 3 / - 3 = 4 / - 3,
f'(2) = - 4 / 3
Your solution is option b.
4 : Here again we can apply the power rule, where using constant multiple rule and derivative of a constant, you can quickly find the derivative of g .
g'(t) = 3(2x¹) + 0 = 6t,
And now we can evaluate the derivative at that value of t.
g'(4) = 6(4) = 24 - hence the instantaneous rate of change at t = 4, will be 24
add or subtract as indicated and write the result in standard form 3i+(-6-i)
A:6-4i
B:-6+2i
C:6-2i
D:-6+4i
Answer:
B: -6+2i
Step-by-step explanation:
3i + (-6 - i) = ⇒ open parenthesis3i - 6 - i = ⇒ simplify-6 + 2i ⇒ answer in standard form of a+biAt the end of the day of teaching the skill of cutting and sewing to make capes, Ms. Ironperson and Mr. Thoro decided to go to the Shawarma Mediterranean Grill. Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95. Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91. What is the cost of a chicken shawarma wrap? What is the cost of one order of spiced potatoes? If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?
Answer:
The cost of a chicken shawarma wrap is $10.99 and the cost of one order of spiced potatoes is $4.99.
Step-by-step explanation:
X denotes the cost of a chicken shawarma wrap and Y denotes the cost of an order of spiced potatoes.
From the provided information we can form two equations for the total price paid by Ms. Ironperson and Mr. Thoro.
[tex]3x+2y=42.95...(i)\\5x+4y=74.91...(ii)[/tex]
Multiply (i) by 4 and (ii) by 2 and subtract the two resulting equations:
[tex]3x+2y=42.95\ \ \ ]\times 4\\5x+4y=74.91\ \ \ ]\times2\\\\\Rightarrow\\\\12x+8y=171.80\\10x+8y=149.82\\\\\text{subtract}\\\\2x=21.98\\\\x=10.99[/tex]
Substitute x = 10.99 in (i) and solve for y as follows:
[tex]3x+2y=42.95\\\\(3\times 10.99)+2y=42.95\\\\2y=9.98\\\\y=4.99[/tex]
Thus, the cost of a chicken shawarma wrap is $10.99 and the cost of one order of spiced potatoes is $4.99.
100 megatons+234 help please
Answer:
we know,
1 megaton=1000kg
100 megaton=100000
now,
total weight=100000+234
=100234.
g In a multiple choice exam, there are 5 questions and 4 choices for each question (a, b, c, d). Nancy has not studied for the exam at all and decides to randomly guess the answers. What is the probability that: (a) the first question she gets right is the 5th question
Answer:
81 / 1024
Step-by-step explanation:
First, let's find the total number of ways that Nancy can choose random choices for the questions. This would be 4 * 4 * 4 * 4 * 4 = 4⁵ = 1024 because there are 4 choices and 5 questions. In order for first question she gets right to be the 5th question, she has to get the first 4 questions wrong. Therefore, since there are 4 choices for each question and only 1 of them is right, she has 4 - 1 = 3 options for the first 4 questions and only 1 option for the 5th one, so the total number of "successful" ways Nancy can do this would be 3 * 3 * 3 * 3 * 1 = 81. Therefore, the probability is 81 / 1024.
A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 560 college students showed that 15% of them had, or intended to, cheat on examinations. Find the 95% confidence interval.
Answer:
0.1198 < p < 0.1802
Step-by-step explanation:
Percentage who had, or intended to cheat (p) = 15% = 0.15.
1 - p = 1 - 0.15 = 0.85
Confidence interval = 95%, z = 1.96 = 2
number of observation= 560
p ± z * √(p * (1 -p)/n)
Lower limit:
0.15 - 2 * √0.15 * 0.85/560
0.15 - 0.0301780 = 0.119822
= 0.1198
Upper limit:
0.15 + 2 * √0.15 * 0.85/560
0.15 + 0.0301780 = 0.180178
= 0.1802
0.1198 < p < 0.1802
A(n) ___
is a numerical summary of a population.
Answer:
parameter
Step-by-step explanation: