According to the given statement the perimeter of triangle xyz = P = (3√5 + 5) units.
What does coordinate geometry mean?The analysis of geometry involving coordinate points is known as coordinate geometry (also known as analytical geometry). Finding this same distance between two points, dividing lines in the m:n ratio, locating a line's midpoint, and calculating the area of a triangle throughout the Cartesian plane are all feasible using coordinate geometry.
According to the given information:The distance of ZY
Z(1,0)
Y(3,1)
Substituting the the value if formula we get:
d = √((1 - 0)² + (3 - 1)²)
dZY = √5 units
Now ,
distance between XY
X(-1 , 4)
Y(3 , 1)
d = √((1 - 4)² + (3 + 1)²)
dZY = √25 units
= 5 units.
The perimeter of the triangle:
P = ZX + ZY + XY
adding all that value we get:
P = (2√5 + √5 + 5)
P = (3√5 + 5) units.
According to the given statement the perimeter of triangle xyz = P = (3√5 + 5) units.
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Can+you+provide+a+cut-off+time+by+which+you+can+be+99%+sure+that+the+baseball+game+would+end?
We can be 99% certain the baseball game will end by 5.22pm.
What does the term "cut-off" signify in mathematics?A cut-off Number is a number mentioned in the applicable Final Terms as such, or if no number is provided, the Specific Number is presumed to be five.
What exactly is the cut-off probability?In binary classification, the threshold or cut-off represents the chance that the prediction is correct. It represents the cost of false positives or false negatives.
According to the given information:Let the cutoff be A.
so,
P(X ≤ A) = 0.99
[tex]P\left(\frac{X-\mu}{\sigma} \leq \frac{a-2.5}{0.37}\right)=0.99[/tex]
[tex]P\left(Z \leq \frac{a-2.5}{0.37}\right)=0.99[/tex]
[tex]\Phi\left(\frac{a-2.5}{0.37}\right)=\Phi(2.33)\\[/tex]
(a - 2.5)/.37 = 2.33
a = 3.3621
a = 3hours and (0.3621 * 60) = 22 minutes
We can be 99% certain the baseball game will end by 5.22pm.
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I understand that the question you are looking for is:
The probability that the baseball game will cut into the program is 0.0885.
Can you provide a cut-off time by which you can be 99% sure that the baseball game would end?
Martha McKenzie sells advertising for a local TV station. She earns 15 % on the fi rst $5,000 in sales, 25 % on the next $1,000, and 30 % on all sales over $6,000. If she were to sell $15,000-worth of advertising, what would her commission be? Help!!!
$3,400
$3,500
$3,600
$3,700
Using proportions, her commission would be of $3,700.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Her commissions are divided as follows:
15% of the first $5,000.25% of the next $1,000.30% of the final $9,000(15000 - 6000).Hence the total commission is:
0.15 x 5000 + 0.25 x 1000 + 0.3 x 9000 = $3,700.
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2015 > Chapter 1: Measuring and Constructing Angles > Section Exercises
11
Find the measure of ZCOD.
10 20
10 170 160 150
m/COD-
do 140 130 120 110 100
A
Classify ZCOD
-88
с
-88
O
100 110 120
LCOD is a(n) acute ✓angle.
D
E
a
B
15 20 10
170 10
The measure of angle COD will be 85° and it will be an acute angle.
If an angles is less than 90°, it is known as an acute angle. If it is more than 90°, it will be an obtuse angle. And if it is equal to 90, then it is called a right angle.
Here, we are given a a figure and we need to find the measure of ∠COD.
∠COD can be written as ∠AOB - ∠AOC - ∠DOB
Here, ∠AOB = 180° (straight line)
∠AOC = 30°
and ∠DOB = 65°
Thus, ∠COD = 180 - 30 - 65
∠COD = 180 - 95
∠COD = 85°
As ∠COD is less than 90°, it will be an acute angle.
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WILL GIVE BRAINLIEST IF ANSWERED PROPERLY AND POINTS, WILL REPORT IF U SPAM
Answer:
Step-by-step explanation:
[tex]\displaystyle\\ax+by=c\\\\by=c-ax\\\\\frac{by}{b}=\frac{c-ax}{b} \\\\y=\frac{c-ax}{b}[/tex]
Answer: Basically, bottom is first. The top is second, and the middle one is last.
Step-by-step explanation:
1. Super Duper Easy, first, subtract ax, making it by = c - ax
2. Then, divide b , so by/b = c/b - ax/b
3. Becoming y = c/b - ax/b
“Rewrite each expression as an equivalent exponential expression.”
The values of the exponential expressions are follows;
3. [tex] {x}^{m \times n} [/tex]
4. [tex] {\frac{1}{4} }^{16} [/tex]
5. [tex] {( - 3)}^{5} [/tex]
6. [tex] 5.3 \cdot {( - 4)}^{11}[/tex]
7. [tex] {(2.9)}^{10} [/tex]
How can the exponential expressions be simplified?The given expression that can be used to show the Power of a Power Exponent law are as follows;
3. The Power of a Power Exponent law states that;
[tex] {( {x})^{m} }^{n} = {x}^{m \times n} [/tex]
4. The given expression is presented as follows;
[tex] { ({( \frac{1}{4} )}^{2} )}^{8} ={\frac{1}{4} }^{2 \times 8} = {\frac{1}{4} }^{16} [/tex]
5. [tex] {( - 3)}^{4} \times - 3 = {( - 3)}^{4 + 1} = {( - 3)}^{5} [/tex]
6. [tex]5.3 \cdot {( - 4)}^{11} = 5.3 \cdot {( - 4)}^{11}[/tex]
7. [tex] {(2.9)}^{2} \cdot {(2.9)}^{5} \cdot {(2.9)}^{3} = {(2.9)}^{2+5+3} [/tex]
[tex] {(2.9)}^{2+5+3}={(2.9)}^{10} [/tex]
Therefore;
[tex] {(2.9)}^{2} \cdot {(2.9)}^{5} \cdot {(2.9)}^{3} = {(2.9)}^{10} [/tex]
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if one rectangular lot with 1350' of frontage contains 25 acres, how many acres would the lot next to it contain if it has a 900' frontage and is the same width as the first lot? select one: a. 1.67 acres b. 16.67 acres c. 26.00 acres d. 14.67 acres
The correct option is b. 16.67 acres would the lot next to it contain if it has a 900' frontage and is the same width as the first rectangular lot.
What do you mean by a rectangle's area?The quantity of space occupied by a flat surface with a specific shape is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.). The quantity of unit squares that can fit inside a rectangle called its area. Blackboards, painting canvases, laptop monitors, and other flat surfaces are a few instances of rectangular shapes.
Area of a Rectangle = (Length × Breadth) square units.
We know that the Area = Length × Width.
For first lot:
43,560 (sq. ft. in acre) × 25 acres = 1,089,000 sq. ft.
We know that 1,089,000 sq. ft. = Width × 1,350 (length). Therefore width =1,089,000 / 1,350 = 806.67.
From the problem the lots were of the same width.
In second lot: Area =806.67 (width) × 900( length)= 726,000 sq. ft. Therefore:
⇒726,000 (area) / 43,560 = 16.67 acres.
The correct answer is: b. 16.67 acres
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2.
Find the sum of the digits of each multiple of 9 below.
Sum of digits
9
1+8=9
9.1 9
9.2=18
9.3=27
9.4 36
9.5=45
9-6=54
9.7=63
9.8=72
9.9 81
The sum of the multiples of 9 till 81 is 405 by arithmetic progression.
We have to sum the multiples of 9 up to 81
= 9 + 18 + … + 45 + …+ 72 + 81
We will use arithmetic progression for this.
we get that:
initial term = a = 9
Common difference = d = 9
n = 9
Sum of terms = n / 2 ( 2 a + ( n - 1) d )
Sum = 9 / 2 (2( 9) + 8 ( 9))
sum = 9 / 2 (18 + 72)
Sum = 9 / 2 ( 90)
Sum = 810 / 2
Sum = 405
Therefore, we get that, the sum of the multiples of 9 till 81 is 405 by arithmetic progression.
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The base of a triangle with the height of 7 units is represented by the formula b=2/7a. the base of the triangle is less than 10. write and solve an inequality that represents the possible area a if the triangle.
The inequality that represents the possible area of the triangle is 2/7a < 10
The solution to the inequality is a < 35
Solving linear inequalitiesFrom the question, we are to write and solve an inequality that represents the possible area, a, of the triangle
From the given information,
The base of the triangle is given by
b = 2/7a
Also, from the given information,
The base of the triangle is less than 10
That is,
b < 10
Then,
we can write that
2/7a < 10
This is the inequality that represents the possible area of the triangle
Now, solve the inequality
2/7a < 10
Multiply both sides of the equation by 7/2
7/2× 2/7a < 7/2× 10
a < 7 × 5
a < 35
Hence, the inequality that represents the possible area of the triangle is 2/7a < 10
The solution to the inequality is a < 35
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A study was performed with a random sample of 513 bolts produced at one factory. What population would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases?.
The population that would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases is All 513 bolts that were randomly selected.
What sample should be used to generalize the conclusions from a study?Generalizing the conclusions from a study can only be done with a sample that is well-represented. The question here says that all 513 bolts were chosen without bias. This means that a fair conclusion can be reached from the sample.
So, the results that occur from studying the 513 bolts can be sure to produce accurate results. Moreso, the population is large, thus, the population can be used to generalize conclusions.
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Six friends each use a $2-off coupons to buy themselves a movie tickets. They sped be a total of $42. What is the price of one movie ticket without the coupon?
Answer:
Since there are a total of six friends and they each use a $2 off coupon then what you first want to do is multiply:
2 times 6 = 12
Then you want to add:
42 + 12 = 54
So the total that they would have spent without the discount would be $54.
Step-by-step explanation:
Hope it helps! =D
Approximately 3 people out of every 30 are left handed. About how many left handed people would you expect in a group of 140 people?
14 left handed people would you expect in a group of 140 people .
According to the question, 3 people are left handed out of every 30 people.
We can solve this using unitary method ,
out of every 30 people left handed are 3 people out of every 1 people left handed are 3/30 peopleout of every 140 people left handed are 3/30 × 140 = 14 people .
14 left handed people would you expect in a group of 140 people.
Another method:
Based on the given conditions, formulate : 140 * 3 / 30
Reduce the fraction : 14
get the result 14
Answer 14
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A runner has run 1.192 kilometers of a 10-kilometer race. How much farther does h
need to run to finish the race? Show your reasoning. How do I solve this
The runner has to run more 8.808 km to finish the race.
What do we mean by mathematical operations?In mathematics, an operation is a function that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value. The number of operands determines the operation's complexity.The most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse. A constant is an arity zero operation, also known as a nullary operation. A mixed product is an example of an arity 3 operation, also known as a ternary operation.So, the runner ran 1.192 km out of 10 km.
Then, the remaining distance:
10 - 1.192 = 8.808kmTherefore, the runner has to run more 8.808 km to finish the race.
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jason says you can solve an inequality by replacing the inequality sign with an equal sign and putting it back in after solving the equation. do you agree?
Jason is incorrect, because inequality signs change when we multiply/divide by negative numbers, and we need to follow the signs to make sure we use the correct one.
Is Jason correct whit his claim?Well, Jason says that you can solve an inequality by replacing the sign by an equal sign, solve the equation as you already have done a thousand times, and then put the inequality sign again.
Now, this is clearly incorrect, because inequalities have a really nice property. If you multiply or divide both sides of the inequality by a negative number, then the "direction" of the sign changes.
This means that if we have an inequality like:
-2x > 10
And we divide both sides by -2, we should get:
x < 10/-2
x < -5
Where the direction of the sign changed.
If you did what Jason said, the direction of that sign would not have changed, and thus, you would have got an incorrect solution for the inequality.
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-3/7 x 3/8
why do i need 2o characters hello hello hello
Answer:− 9/56
Step-by-step explanation: hope this helps you!!!!
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
a bunch of gas money
Step-by-step explanation:
Answer:
Increased towing capacity
Step-by-step explanation:
?
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
What is the measure of the base of the rectangle if the area of the triangle is ?
A. 8 ft
B. 16 ft
C. 32 ft
D. 64 ft
HELP ME
Answer:
32ft
Step-by-step explanation:
PLEASE HELP WITH HOMEWORK
Supplementary angles have a sum of 180°
Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.
( 7x - 15 ) + ( 2x - 3 ) = 180
Now we can combine like terms and use inverse operations to find the value of x:
( 7x - 15 ) + ( 2x - 3 ) = 180
9x - 18 = 180
9x - 18 + 18 = 180 + 18
9x = 198
9x/9 = 198/9
x = 22
Then Angle A will have a measure of 7x - 15 or 7• 22 -15 = 154 - 15 = 139°
m∠A = 139°
The measure of Angle b will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°
m∠ B = 41°
NOTE: 139 + 41 = 180
Assume x is a random variable with discrete uniform distributionstarting from 1000 and ending to 1500.(10 points). what are the mean and variance of the distribution.
According to the question, let us consider the random variable for the discrete uniform distribution to be x.
What is the discrete uniform distribution?
Uniform distribution is another name for the rectangular distribution. And it is the family of the symmetric probability distribution. It has constant probability and the outcomes are equal in nature.
The standard formula for the mean and the variance of the distribution in terms of the lower bounds(L) and the upper bounds(U) is as follows:
Mean = (L+U)/2 ;
Variance = (L+U)/12
The value of the lower bound(L) is 1000 and the upper bound(U) is 1500.
The calculation is as follows:
Mean = (1000+1500)/2 = 1250
Variance = (1000+1500)/12 = 208.3
Therefore, the values are: mean = 1250 and variance = 208.3
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11. Which expression has the least value?
B √81 - √25
C √64 + √25
D √64 - 31
Answer:D
Step-by-step explanation:
√81 - √25 = 9 - 5 = 4
√64 + √25 = 8 + 5 = 13
√64 - 31 = 8 - 31 = -23
You are deciding between two landscaping companies to work on your backyard renovation. Company A charges a $50 fee to come out to your house plus $10 an hour to work. Company B charges $15 per hour and $30 to show up. How many hours will it take for both companies to equal the same price, and how much money will it cost at that time?
It will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.
There are two companies:
Company A-
It charges $ 50 to come and $ 10 per hour to work.
Let the number of hours worked be x
The equation will be:
Price of Company A = 50 + 10 x …(1)
Company B-
It charges $ 30 to come and $ 15 per hour to work.
The equation will be:
Price of Company B = 30 + 15 x …(2)
Now, for the same prices, we will equate (1) with (2):
50 + 10 x = 30 + 15 x
15 x - 10 x = 50 - 30
5 x = 20
x = 20 / 5
x = 4
At x = 4, price of the companies will be:
A = 50 + 10 (4) = 50 + 40
A = $ 90
B = 30 + 15(4)
B = 30 + 60
B = $ 90.
Therefore, it will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.
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100 points !!!!! HELP ME ASAP
Write a piecewise function represented by the graph.
The piecewise function represented by the graph is:
f(x) = -3, x ≤ 0.f(x) = 3 - 3x, x > 0.What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
For x to the left of 0, inclusive, the function is constant at y = -3, hence the definition is:
f(x) = -3, x ≤ 0.
For x to the right of 0, with an open interval, the function is linear, with an intercept of 3(when x = 0, y = 3) and a slope of -3(the function fell from y = 3 to y = 0 when x moved from x = 0 to x = 1), hence:
f(x) = 3 - 3x, x > 0.
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Question f(1)= ?
Please explain
The coordinates of the given points are:
(-2, 2)(-3, 0)(0, 1)(1, -2)What is a graph?A graph is a mathematical representation of a network that describes the connection between lines and points. A graph is made up of points with lines connecting them. The length of the lines and the position of the points are irrelevant. Each object in a graph is referred to as a node.Refer to the diagram to know the coordinates of the given points.
Therefore, the coordinates of the given points are:
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In a store opening promotion, Fred advertises T-shirts: "Buy 4 get 1 free." If the cost of 1 T-shirt is $15.97, what is the discount rate, as a percent?
The discount rate, as a percent is 20%
How to determine the discount rate, as a percent? The given parameters are:
Cost of 1 T-shirt = $15.97
Also, we have
4 purchases gives 1 free item
So, the discount rate is
Discount = 1/(1 + 4) * 100%
Evaluate the sum
Discount = 1/5 * 100%
Evaluate the product
Discount = 20%
Hence, the discount rate, as a percent is 20%
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help pls
with step by step explanation
Answer:
give me one second brooo
Explanation:
If a car travels at a rate of 74 miles per hour, then how long will it take the car to travel 481 miles?<3
In Exercises 26-29, use the following information. You belong to a book club.
Your yearly book budget is $350. Each book in the book club costs $7.
26. Complete the table.
Books Cost (dollars) Amount left (dollars)
1
343
2
336
3
?
4
?
7
14
?
?
27. Write a variable expression for the cost of b books.
28. Write a variable expression for the amount of your budget after b books.
29. How many books will you be able to buy before the $350 is spent?
50 books can be purchased with $ 350.
We have the data:
Books Cost (dollars) Amount left (dollars)
1 343
2 336
3 336 - 7 = 329
4 329 - 7 = 322
7 322 - 21 = 301
14 301 - 49 = 252
Cost of 1 book = $ 7
Cost of b books = 7 × b = 7 b
Amount of budget after b books = 350 - 7 b
We can buy = 350 / 7 = 50 books before spending the entire amount.
Therefore, we get that 50 books can be purchased with $ 350.
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call a positive real number special if it has a decimal representation that consists entirely of digits $0$ and $7$. for example, $\frac{700}{99}
The smallest n such that 1 can be written as a sum of n
special numbers is 8.
What is a number?A number is a mathematical concept that is used for counting, measuring, and labeling. The natural numbers 1, 2, 3, 4, and so forth are the original examples. Number terms in language can be used to represent numbers. More commonly, individual numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five. Basic numerals are frequently arranged in a numeral system, which is an ordered manner to represent any number, as only a very small number of symbols can be learned. The most widely used numeral system is the Hindu-Arabic numeral system, which enables the depiction of any number using a combination of 10 basic numerical symbols, or "digits."
Calculations:
Suppose 1 = x1 + x2 + · · · + xn where x1, x2, . . . , xn are special and
n ≤ 9. For k = 1, 2, 3, . . . , let ak be the number of elements of {x1, x2, . . . , xn}whose kth decimal digit is 7. Then
1 =7a1}/10 +7a2/10 +7a3/10 + ... ,
which yields
1/7 = 0.142857 =a1 /10 +a2/[tex]10^{2}[/tex] +a3/[tex]10^{3}[/tex] + ... ,
Hence a1 = 1, a2 = 4, a3 = 2, a4 = 8, etc. In particular, this implies that n ≥ 8. On
the other hand,
x1 = 0.700, x2 = x3 = 0.07, x4 = x5 = 0.077777, and x6 = x7 = x8 = 0.000777
are 8 special numbers whose sum is
(700700+2(70707)+2(77777)+3(777))/{999999} =1
Thus the smallest n is 8.
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Two adjacent angles (two angles that share
a common side and vertex) form a straight
angle. One of the angles measures 140°.
What is the measure of the other angle?
The value of the other angle will be 40°.
How to calculate the angle?It should be noted that the value of the angle on a straight line equals to 180°.
In this case, the adjacent angles (two angles that share a common side and vertex) form a straight
angle and one of the angles measures 140°.
The value of the other angle will be:
= 180° - 140°
= 40°
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PLEASE SHOW WORK
STEP-BY-STEP
The solutions for the expressions are given as follows:
6. y = 12.
7. w = -20.
8. x = 30.
What is the solution to expression 6?The expression is given by:
4/3y = 16.
Applying cross multiplication:
4y = 48
y = 48/4
y = 12.
What is the solution to expression 7?The expression is given by:
w/(-2.5) = 8
Applying cross multiplication:
w = -2.5 x 8
w = -20.
What is the solution to expression 6?The expression is given by:
(1/5)x - 2 = 4.
Isolating x:
(1/5)x = 6.
Applying cross multiplication:
x = 6 x 5
x = 30.
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