The perimeter of ΔPQR is equal to: C. 9 + √17 units.
How to calculate the perimeter of this triangle?In Mathematics and Geometry, the perimeter of a triangle can be calculated by using this mathematical equation:
P = a + b + c
Where:
P represents the perimeter of a triangle.a, b, and c represents the side lengths of a triangle.Next, we would determine the distance between each of the coordinates of triangle PQR;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance PQ = √[(0 + 3)² + (2 + 2)²]
Distance PQ = √25 units.
Distance PQ = 5 units.
Distance PR = √[(1 + 3)² + (-2 + 2)²]
Distance PR = √(16 + 0)
Distance PR = 4 units.
Distance QR = √[(1 - 0)² + (-2 - 2)²]
Distance QR = √(1 + 16)
Distance QR = √17 units.
Perimeter of triangle PQR = PQ + QR + PR
Perimeter of triangle PQR = 5 units + √17 units + 4 units
Perimeter of triangle PQR = 9 + √17 units.
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you are given that tan(a)=13/3 and tan(b)=8. find tan(a+b). give your answer as a fraction.
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Can someone help me please
Answer:
congruent angles : are all corresponding angles, exterior and interior alternative angles
congruent to ABE :angles GBC, BCF,HCD
angles FCD and HCD are supplementary angles=180
FCD+HCD=180
At a restaurant, your bill has a food total of $45.50. Find the amount of an 18% tip on the food total.
Answer:
$8.19
Step-by-step explanation:
Divide both numbers together.
Don't forget to make 18% in a decimal format like this -> 0.18
45.50 / 0.18
Yolanda needs to buy plastic forks. Brand A has a box of 25 forks for $1.99 . Brand B has a box of 42 forks for $3.89. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
Brand A has a unit price of 8 cents per fork ($1.99 divided by 25), while Brand B has a unit price of 9 cents per fork ($3.89 divided by 42).
To determine which brand is the better buy based on the unit price, we compare the unit prices of each brand. In this case, Brand A has a lower unit price than Brand B, which means that it is the better buy. However, we should also consider the number of forks in each box. While Brand B has a higher unit price, it also has more forks per box than Brand A, which may be a more economical choice depending on the needs of the buyer.
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please actually look at the picture and do it correctly i need the correct answers i'll mark brainliest if you are correct
Answer:
12/14 to 18/w
Step-by-step explanation:
the w would equal 21 (incase you needed it) since the unit rate is 1.5
Answer:
w = 20
Step-by-step explanation:
consider a standard normal random variable z. what is the value of z if the area to the right of z is 0.4404?
The value of z if the area to the right of z is 0.4404 is; 0.15
How to find the probability of the z-score?To find the value of z if the area to the right of z is 0.4404 is expressed as; P(Z > z) = 0.4404
Now, this means we have to go and trace the value of this area on the standard normal distribution table to know that z-score that it represents.
Now, by looking at the table of standard normal distribution, we can trace that the z-score area to the right of z is 0.4404 is;
z = 0.15
Thus, we conclude that the z-score above is the required one for the given area.
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Ignacio buys three types of fish. He buys 12 guppies,
9 mollies, and 15 swordtails. He plans to divide the fish
between more than one fish tank. He wants to put
the same number of each type of fish into each tank.
How many tanks should Ignacio use? How many of
each type of fish will be in each tank? Show your work.
Ignacio should use 3 fish tanks, number of guppies in each tank is 4, number of mollies in each tank is 3 and number of swordtails in each tank is 5.
The largest positive integer that divides each of the two or more integers is referred to as the greatest common divisor. The greatest common divisor of two integers x and y is shown by the symbol gcd (x, y).
Ignacio purchases 15 swordtails, 12 guppies, and 9 mollies.
He desires to divide the fish across several tanks and to place an equal number of each variety of fish in each tank.
The gcd of 12,9 and 15 will be used for the number of fish tanks.
Factors of the numbers are
12= 2x 2 x 3
9=3 x 3
15= 5 x 3
The common factor among all the numbers is 3.
The gcd of 12, 9, and 15 is therefore 3. Ignacio must therefore utilize three fish tanks.
Each type of fish in each tank is,
number of fish of each kind/ gcd(12,9,15)
Number of guppies in each tank= 12/3=4
Number of mollies in each tank= 9/3=3
Number of swordtails in each tank= 15/3=5
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The probability distribution of the sample mean is called the:
a. random variation
b. central probability distribution
c. sampling distribution of the mean
d. standard error
#9: A college student's bank account is losing the same amount of
money each week since the beginning of the semester according to
the table shown below. Determine the equation of the function that
inputs the number of weeks since the beginning of the semester and
outputs the money in his bank account.
On Number 10, fill in the missing values on the table.
(Use the variables "m" and "w")
The equation of the function that inputs the number of weeks since the beginning of the semester and outputs the money in his bank account is
Money = 5340 - 356X(weeks)
The table will be as follows:
Weeks Money
0 5340
3 4272
7 2848
11 1424
15 0
Define an account.
An account in banking is an arrangement whereby a company, typically a financial institution like a bank or credit union, accepts a customer's financial assets and holds them on the customer's behalf at the discretion of the customer.
A financial account, specifically one that covers financial asset claims or liabilities to nonresidents, is a part of a country's balance of payments in macroeconomics. Direct investment, portfolio investment, and reserve assets are broken down by sector and are all parts of the financial account.
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What's the awnser for this question I'm really stuck :(
Answer:
120
Step-by-step explanation:
36x94=2700+120+540+24
what value of x would prove that the following triangle is a right angle? Answers x=7 x=2 x= 14 x= 10
Step-by-step explanation:
Pythagoras' TheoremFor Pythagoras' Theorem to be valid, the triangle must be a right-angled one.
The formula is:
c^2 = a^2 + b^2
Where c is the longest side. While a,b are the side lengths.
SolutionUsing the above formula and the measurements given in the question, we can find the value of x.
By Pythagoras' Theorem,
26^2 = (5x)^2 + (12x)^2
676 = 25x^2 + 144x^2
169x^2 = 676
x^2 = 676 ÷ 169
x^2 = 4
x = 2
Find the equation of the line that passes through (-5,3) and (1,1)
The equation of the line that passes through (-5,3) and (1,1) is y = (-1/3)x + 3.
To find the equation of the line that passes through the given points, we need to use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line. The slope formula is:
m = (y₂ - y₁) / (x₂ - x₁)
Plugging in the given points, we get:
m = (1 - 3) / (1 - (-5))
m = (-2) / (6)
m = -1/3
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line. The point-slope form is:
y - y₁ = m(x - x₁)
Plugging in the slope and one of the given points, we get:
y - 3 = (-1/3)(x - (-5))
y - 3 = (-1/3)(x + 5)
y - 3 = (-1/3)x - (5/3)
y = (-1/3)x + (9/3)
y = (-1/3)x + 3
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4. For data at the interval level, you cannot calculate meaningful differences between data entries.
For data at the interval level, we cannot calculate meaningful differences between data entries. The statement is false.
Interval:
The interval of a numerical value generally represents the maximum and minimum value between which the numerical value belongs, it is the amount of time that has passed between the beginning and end of the event which is also known as elapsed time.
The various ways of showing intervals are Inequalities, interval notations, and number lines, the amount of time between two given times is known as the time interval.
Data at the ordinal level can be qualitative or quantitative. A true statement is "For data at the interval level, you can calculate meaningful differences between data entries."
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At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s2 0.6 m 0.2 m 0.4m 0.3 m 0.3 m 0.4 m Part A eterminethe wocl a n D sea c Enter the ", y, and Z components of the velocity separated by commas vec m/s Submit Request Answer Part B Determine the acceleration of point D located on the corner of the plate at this instant. Enter the , y, and Z components of the velocity separated by commas vec m/s Submit Request Answer
The acceleration components of point D are, ax = 3.6 m/s², ay = 6.4 m/s², az = -1.14 m/s²
At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s2. The given diagram is shown below. Angular velocity (w) = 19 rad/sAngular acceleration (α) = 9 rad/s²Plate dimension AB = 0.6 m, BC = 0.2 m, CD = 0.4 m, DA = 0.3 m, AE = 0.3 m and EF = 0.4 m.
Determine the wocl and Dsea of Enter the ", y, and Z components of the velocity separated by commas vec m/sThe velocity components for point D can be calculated using the following formula.Vd = R x wWhere R is the position vector of D relative to the origin.
According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe velocity of point D can be calculated as follows.Vd = R x w = 0.2i + 0.4j + 0.3k x 19The cross product of R and w can be calculated as follows.i j k 0.2 0.4 0.3 0 19 0 = [(0.4 × 0) - (0.3 × 19)] i - [(0.2 × 0) - (0.3 × 0)] j + [(0.2 × 19) - (0.4 × 0)] kVd = -5.7i + 6.8kThus, the velocity components of point D are, Vx = -5.7 m/s, Vy = 0 m/s, Vz = 6.8 m/s
Determine the acceleration of point D located on the corner of the plate at this instant. Enter the, y, and Z components of the velocity separated by commas vec m/sThe acceleration components of point D can be calculated using the following formula.aD = R x α + w x (w x R)Where R is the position vector of D relative to the origin.
According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe acceleration of point D can be calculated as follows.aD = R x α + w x (w x R) = (0.2i + 0.4j + 0.3k) x 9 + 19 x (19 x (0.2i + 0.4j + 0.3k)) = (0.4k - 0.3j) x 9 + 19 x (0.4 x (0.4j - 0.3k))aD = 3.6i + 6.4j - 1.14k.
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I need help finding the slop on this question. Thanks!
Answer:
that was so hard i think u need a tutor kidding i mean watch on yt how to solve that i promise your gonna Answer that
You are responsible for buying a week's supply of food for the dogs and cats at a local shelter, Pawsitively Pets. The cost of food for each dog is twice as much as for a cat. You need to feed 16 cats and 10 dogs. Your budget is $720. How much can you spend on each dog for food? How much can you spend on each cat for food? how would you set up this problem in a system of equations
Answer: Dog=$40 per a dog and $20 per a cat
Step-by-step explanation:
Let the dog be x and cat be y
x=2y
10x=20y
20y+16y=32y
720/32=20
2x20=40
x=40
y=20
Solve the following equation (showing all work )
2x=16
Side c on a right triangle is ALWAYS the longest.
O No answer text provided.
O No answer text provided.
O True
O False
Answer:
the answer should be false..
Solve the polynomial (preferably with the X or Box method) g^2+9g+18=0
Answer:
To solve the polynomial (g^2 + 9g + 18 = 0) using the X or Box method, you need to factor the polynomial into two binomials. To do this, you need to find two numbers that multiply to 18 and add up to 9. The two numbers are 6 and 3, so the polynomial can be factored as:
g^2 + 9g + 18 = (g + 6)(g + 3) = 0
To find the solutions, you set each factor equal to 0 and solve for g:
g + 6 = 0, so g = -6
g + 3 = 0, so g = -3
The solutions to the polynomial are g = -6 and g = -3.
Step-by-step explanation:
Prove: Quadrilateral ABCD is a parallelogram
PLEASE HELP
The proof is shown below:
What is a parallelogram?A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).
As,
<A= 104
<B= 76
As AB || CD,
<A + <D =180
104 + <D =180
<D = 76
and <B + <C =180
76 + <C = 180
<C = 104.
As, opposite angles are equals and AB || CD.
Hence, ABCD is a parallelogram.
For 2 part,
Use m<A = 104° and m<B= 76° to show that <A and <B are same-side interior angles. Then, use AB || CD to show that <A and <D are supplementary angles.
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mass of water vapor (g) / mass of dry air (kg)
is the humidity measure of....
-the mixing ratio.
-relative humidity.
-vapor pressure.
-absolute humidity.
The mass of water vapor (g) / mass of dry air (kg) is the humidity measure of the mixing ratio
The mixing ratio is defined as the mass of water vapor in grams divided by the mass of dry air in kilograms in a mixture of air and water vapor. It is a useful parameter for meteorologists and atmospheric scientists to describe the amount of water vapor in the atmosphere, particularly in the upper atmosphere where the relative humidity may be very low.
Relative humidity is the ratio of the partial pressure of water vapor in the air to the equilibrium vapor pressure at a given temperature and pressure, expressed as a percentage. Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system. Absolute humidity is the mass of water vapor per unit volume of moist air.
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How do i slove for x2 + 19 = 3
Answer:
x = ± 4i
Step-by-step explanation:
x^2 + 19 = 3
Subtract 19 from each side
x^2 +19-19 = 3-19
x^2 = -16
Take the square root of each side
sqrt(x^2) = sqrt(-16)
x = sqrt(-1*16)
x =sqrt(-1) * sqrt(16)
We know that the square root of -1 is the imaginary number i
x = ± 4i
A block of wood has dimensions 10.20 cm by 10.15 cm by 2.45 cm. What is the volume of this block in units of cubic centimeters
Consider the following two arguments:
(A) 90% of observed crows are black. Therefore, 90% of all crows are black. Furthermore, I
conclude that the next crow I observe will be black.
(B) If 90% of observed crows are black, then the next crow I observe will be black. In fact, 90%
of observed crows are black. Therefore, the next crow I observe will be black.
Using the logic terminology presented in the course material, classify the two arguments. Which
argument is the better argument? Give detailed explanation
The next crow observed will be black is not supported by the premises in any meaningful way. The premises do not guarantee the outcome of the next observation. Argument B is the stronger argument.
Argument A is an example of an inductive argument, as it generalizes from a limited sample to make a broader claim about the entire population. This argument form is called induction and can be evaluated on its strength.
Argument B is a deductive argument, as it uses a conditional premise to reach a definite conclusion. In this form of argument, the conclusion necessarily follows from the premises. The strength of a deductive argument depends on the logical structure of the premises and conclusion.
The better argument of the two is argument B. Because in deductive arguments, the conclusion necessarily follows from the premises if the premises are true.
And this argument, the premises state that if 90% of observed crows are black, then the next crow observed will be black.
Additionally, it is also claimed that 90% of observed crows are black. Therefore, it can be logically deduced that the next crow observed will be black
The argument in A, however, is an inductive argument, where the conclusion is not necessarily true even if the premises are true. Even if 90% of observed crows are black, it does not necessarily follow that 90% of all crows are black.
argument B is the stronger argument.
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Gareth enjoys swimming
Answer:
yes
Step-by-step explanation:
Pls help me with this question xxx
Answer:
x =416
Step-by-step explanation:
8365 = 20x +45
8320=20x
x =416
Answer:
416 tokens, Brainliest please! or not whatever you do, enjoy the rest of your day :D!
Step-by-step explanation:
Camilla collected 405 tokens. We can use the formula p = 20x + 45 to solve for x. Substituting p = 8365, we get:
8365 = 20x + 45 8320 = 20x x = 416
So, Camilla collected 416 tokens.
A wedding ring costs £15,000 work out the price after a 6% price increase
Answer:
£15,900
Step-by-step explanation:
6% of £15,00o is £900
Add these together for the increase
100% of will give me 93
Answer:
Hi Wdym m=by 100% of will give me 93
Step-by-step explanation:
A number is selected at random from first 50 natural numbers. Then the probability that it is a multiple of 3 and 4 is
let f be the function given by f(x)=∫x10(−t2 2t 3)ⅆt. on what intervals is f increasing?
To determine the intervals where the function f(x) = ∫x^10(-t^2 + 2t - 3) dt is increasing, we need to follow these steps:
Step 1:To get the derivative of f(x).
Since f(x) is defined as an integral from 10 to x, we can use the Fundamental Theorem of Calculus. The derivative of f(x) is simply the integrand with x replacing t: f'(x) = -x^2 + 2x - 3
Step 2: To get the critical points.
To find the critical points, we need to set f'(x) equal to 0 and solve for x: 0 = -x^2 + 2x - 3
Step 3: Solve the quadratic equation.
We can solve this quadratic equation using the quadratic formula, factoring, or other methods. In this case, factoring works: 0 = (x - 3)(-x + 1)
The critical points are x = 3 and x = 1.
Step 4: Test the intervals between the critical points.
Now, we will test the intervals between the critical points to see if f'(x) is positive or negative. This will determine if the function is increasing or decreasing.
Interval 1: x < 1
Choose any number in this interval, such as x = 0, and plug it into f'(x):
f'(0) = -(0)^2 + 2(0) - 3 = -3 (which is negative)
Interval 2: 1 < x < 3
Choose any number in this interval, such as x = 2, and plug it into f'(x):
f'(2) = -(2)^2 + 2(2) - 3 = -3 (which is negative)
Interval 3: x > 3
Choose any number in this interval, such as x = 4, and plug it into f'(x):
f'(4) = -(4)^2 + 2(4) - 3 = -7 (which is negative)
The function f(x) is not increasing in any interval.
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