Answer:
Your answer would be
- 2/25 x^3a^3
Or vice versa with the variables
- 2/25 a^3x^3
TO solve it’s pretty simple if you do it correctly.
So with all the variables in the two multiples, you can find a way to combine them
So ignoring everything else you’d get
a^2x * x^2a
You we can see the difference,
theres a^2 and a
Whilst there is also x^2 and x
Now we can combine them
a^3 x^3
Now we can do the normal multipacation with the fraction
2/5 * - 1/5 which is -2/25
Now combine
ANd you got it :D
Use the box method to distribute and simplify ( − 1 − 3 � ) ( − 3 � 3 + 4 � + 5 + 5 � 2 ) . (−1−3x)(−3x 3 +4x+5+5x 2 ). Drag and drop the terms to the correct locations of the table. ( ( − − 1 1 − − 3 � 3x ) ) ( ( − − 3 � 3 3x 3 + + 4 � 4x + + 5 5 + + 5 � 2 5x 2 ) ) Rows: 0 Columns: 0 You must answer all questions above in order to submit.
The complete box table.
2x 6
4x² 8x³ 24x²
6x 12x² 36x
-3 -6x -18
We have,
(4x² + 6x - 3) (2x + 6)
There are two factors.
We distribute one factor with the other factor.
Now,
Distributing the expression.
4x² (2x + 6) + 6x (2x + 6) - 3 (2x + 6)
8x³ + 24x² + 12x² + 36x - 6x - 18
We can combine like terms if we want to simplify.
8x³ + 36x² + 30x - 18
Thus,
The complete box table.
2x 6
4x² 8x³ 24x²
6x 12x² 36x
-3 -6x -18
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Concept Bank a) central tendency d) event g) population j) random experiment m) sample mean p) sample space b) continuous random variable e) measures of spread h) probability k) range n) sample median q) standard deviation c) discrete random variable f) outlier i) variability l) sample o) sample mode r) statistical inference ____ The practically infinite number of possible values that a random variable can take on in an experiment ____ The process of observing the outcome of a random chance event ____ The number that quantifies the likelihood that a certain random event will happen ____ All possible outcomes that can result from a random experiment ____ This exist when successive observations of a particular system vari
Answer:
Continuous random variable - The practically infinite number of possible values that a random variable can take on in an experiment
Random experiment - The process of observing the outcome of a random chance event
Probability - The number that quantifies the likelihood that a certain random event will happen
Sample space - All possible outcomes that can result from a random experiment
Variability - This exist when successive observations of a particular system variable or phenomenon do not produce the exact same result.
Statistical inference - The use of information from a sample to draw conclusions about the population
Sample mean - The most commonly used measure of central tendency of a distribution of data
Event - A subset of the sample space
Standard deviation - A measure of the extent to which the values in the data set differ from the mean
Outlier - An observation point that is distant from other observation.
Use technology to find the line of best fit for the following data. (−7,1), (2,9), (0,7), (−3,5), (−8,−2), (−1,2), (−6,−1), (−5,0), (0,5), (1,7), (−4,2), (3,7) When the equation of the line is in the form y=mx+b, what is the value of m?Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5Click on the following link to use the GeoGebra graphing calculator.
Given:
We have given so many values for line
Required:
To find the line for data
Explanation:
(-7,1) ,(2,9), (0,7), (-3,5) ,(-8,-2) , (-1,2)
(-6,-1), (-5,0), (0,5), (1,7), (-4,2), (3,7)
Using the online regression calculator:
slope
\(\begin{gathered} slope\text{ =0.8700}\pm0.1382 \\ y\text{ intercept= 5.613}\pm0.5837 \\ x\text{ intercept =-6.452} \\ \frac{1}{slope}=1.149 \end{gathered}\)Y- is the predictor variable
X- is the independent variable
5.613 =slope of gradient
0.5837= intercept (b) where the line best fit cross the y-axis
Required answer:
Above calculation
find the inverse function?
f(x)= 3/x+1 +1
Answer:
the answer I got is 2+3/×
add 1 and 1 to get 2
3/x+2 to add or subtract expressions ,expand them to make their denominators the same multiply 2 times x/x
3/x+2×/× since 3/× and 2×/× have the same denominatior, add them by adding there numerators
Fastex Shoes claims that it has designed a new range of lightweight shoes that allow athletes to run faster than they can using any other shoes.SportsPlus, a rival shoe manufacturer, then came up with a design that it claims performs even better than Fastex's design. A sports magazinedecided to test the claims. It created two groups of 15 randomly selected athletes each. Members of both groups were pretested anddetermined to have equal athletic ability. Additionally, they followed the same nutrition plan and training program during the study.The athletes did a 1-mile run to test the shoes. The magazine found that the athletes who used Fastex shoes had reduced their 1-mile run timeby an average of 396, and athletes who used Sports Plus shoes had reduced their 1-mile run time by an average of 2%.Given the magazine's data collection method and findings, what conclusion can be made?OA. The data collection method used was fair since both shoe designs were tested on identical parameters.OB. The data collection method used was nonrandom since the athletes using Fastex shoes may have trained better.OC. The data collection method used was unfair since the athletes given Fastex shoes may have been better runners than theathletes given SportsPlus shoes.OD. The data collection method used was random since the athletes in the two groups used two different shoe designs.
B: The data collection method used was nonrandom since the athletes using Fastex shoes may have trained better.
This is false because they followed the same nutrition plan and training program during the study.
C. The data collection method used was unfair since the athletes given Fastex shoes may have been better runners than the athletes given SportsPlus shoes.
This is also false because members of both groups were pretested and determined to have equal athletic ability
D. Each group used one shoe design.
So, the correct option is A
Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
The value of x in the secant intersection is 4.
How to find the length in a secant?If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.
Therefore, let's find the value of x using the secant intersection theorem as follows;
4(4+x + 2) = 5(5 + x - 1)
4(6 + x) = 5(4 + x)
24 + 4x = 20 + 5x
24 - 20 = 5x - 4x
x = 4
Therefore,
x = 4
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anwser it pls aaaaaaaassaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
Volume = Bh
Turn the shape so the trapezoid is on the bottom/base
h=18 for overall shape
B = area of base, trapezoid
B = 1/2 (b₁ + b₂) h
b₁ = 11
b₂ = 25
h = 24 for trapezoid
B = 1/2 (11 + 25)(24)
B = 432
V = Bh
V = (432)(18)
V= 7776 in³
Damian has a balance of $10,200 on his credit card. He threw the card away so he can never use it again. He has 3 1/2 years to pay off the balance. The interest rate on his card is 21%.
a. At the end of the 3 1/2 years, how much interest has he paid? ________
b. When Damian pays off his credit card, how much will he have paid in all? _____
a. At the end of the 3 1/2 years, the amount of interest Damian has paid is $4,288.73.
b) When Damian pays off his credit card, the total amount (principal and interest) he has paid will be $14,488.73.
How is the interest determined?The interest is computed using an online finance calculator, setting the following parameters, based on the compounding interest system.
The calculator also shows the total payments made for the duration of the credit balance.
N (# of periods) = 42 months (3.5 years x 12)
I/Y (Interest per year) = 21%
PV (Present Value) = $10,200
FV (Future Value) = $0
Results:
PMT = $344.97
Sum of all periodic payments = $14,488.73
Total Interest = $4,288.73
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luisa reads 2 pages of hee book every minute.At this rate,how many hours will it take her to read 300 pages?
Answer: 150 minutes or 2.5 hours
Step-by-step explanation: subsite the hours with x so you would have 2x=300 if she reads 2 pages a minute in 150 minutes she would have 300 pages
What is the slope of the line represented by the given table?
X -14 0 7 14 21
y -6 2 6 10 14
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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Please gimme the variables to define the sytem and 2 system of equations
Answer:
\(8.5x+4y=99.5,\ x+y=17\)
Step-by-step explanation:
\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)
Look at the diagram of Cesar’s garden how much fencing would Cesar need to fence garden
The amount of fencing that Cesar need to fence garden is 57 1/3 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
The perimeter of Cesar’s garden = 2(length + width) = 2(49/4 + 49/3) = 57 1/3 feet
The amount of fencing that Cesar need to fence garden is 57 1/3 feet
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How many 1 6 cup servings are in 3 4 cups of popcorn? (in simplest fraction form)
Answer: 8/17
Step-by-step explanation: 16 ÷ 34 = 8/17
Hope this helps ^_^
PLEASE HELP ME ASAP
What is the slope of the line passing through (0, 5) an d(-12, 2) ?
Enter your answer in the box.
Answer:
Slope = 0.25
Step-by-step explanation:
m= -3 / -12 = -1 / -4 = 0.25
distance between x's = 12
distance between y's = 3
hope this helped thank you!
Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of quarters. How many of each coin does he have?
Answer:
14 Quarters and 28 dimes
Step-by-step explanation: 14 quarters $3.50
28 dimes is $2.80 total is $6.30
What is the equation of the graph below?
The solution ax2 + bx + c = 0 can be solved using quadratic equation
x = (-b (b2 - 4ac))/2a to get the roots of the problem.
Quadratic equations: what are they?Just using equations x = ax2 + bx + c = 0 and a 0, a quadratic function is a 2nd polynomial problem in one variable. It is a third polynomial problem, hence the foundational theorem of algebra guarantees that there is least one solution. There may also be real or sophisticated solutions. The quadratic formula makes solving any quadratic equation easier for us. In order to solve this equation, we must first change its form to appear as ax2+bx+c=0, in which a, b, and d are the coefficients. Therefore, we add these coefficients to the method: (-b(b2-4ac))/ (2a).
Here,
The problem ax2 + bx + c = 0 can be solved using
the method x = (-b (b2 - 4ac))/2a to get the roots of the problem.
D = b² - 4ac provides the discriminant value. If D > 0, the equation has two genuine, separate roots.
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Amanda is going to build some large wooden storage boxes. The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of each box with special wallpaper. If she has a total of of wallpaper, how many boxes can she cover?
The number of boxes that Amanda can cover with W square inches of wallpaper will be equal to W/2(lw + lh + wh).
Let's assume that Amanda wants to build n wooden storage boxes. All of these boxes are shaped like rectangular prisms, as shown in the image below.
She wants to cover all the sides of each box with special wallpaper. If she has a total of W square inches of wallpaper, we need to find out how many boxes she can cover. Let's solve this problem mathematically.
Mathematical Solution:
Each rectangular prism has six sides (faces). If we want to cover all the six sides of a rectangular prism with special wallpaper, we need to find the total surface area of that rectangular prism. Therefore, the surface area of each rectangular prism can be calculated by the formula:
Surface Area = 2lw + 2lh + 2wh,
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
We know that Amanda has W square inches of wallpaper to cover all the boxes. Therefore, the total surface area of n boxes will be:
n × Surface Area = W.
Substituting the value of the Surface Area, we have:
n × (2lw + 2lh + 2wh) = W
2n(lw + lh + wh) = W
n(lw + lh + wh) = W/2
n = W/2(lw + lh + wh).
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A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
Find the slope in fraction form
Answer:
-1/3
Step-by-step explanation:
Taking two points on the graph (I took (0,9) and (6,7)
Slope=(y2-y1)/(x2-x1)
(7-9)/(6-0)=-2/6
=-1/3
4x(x + 1) − (3x − 8)(x + 4)
The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.
To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.
Expanding the first term, we get 4x^2 + 4x.
Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.
Combining like terms, we obtain -3x^2 - 4x - 32.
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What is a satellite country?
Answer:
A satellite state is a country that is formally independent in the world, but under heavy political, economic and military influence or control from another country.
You can use the equation A =(HW/3600)^1/2
to approximate a person's body surface area A (in square meters), where H
is height (in centimeters) and W is weight (in kilograms). Approximate the body surface area of a person with a height
of 160 centimeters and a weight of 64 kilograms.
Body surface area:______
m²
The body surface area is given by the equation A = 1.6865 m²
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the body surface area be represented as A
Now , the equation will be
A = ( HW / 3600 )^1/2
A = √( HW / 3600 ) be equation (1)
where H is the height in centimeters and W is the weight in kilograms
Now , the value of H = 160 cm
The value of W = 64 kg
Substituting the values in the equation , we get
A = √ [ ( 160 x 64 ) / 3600 ]
On simplifying the equation , we get
A = √ ( 10240/3600 )
A = √ ( 2.8444 )
A = 1.6865 m²
Therefore , the body surface area is 1.6865 m²
Hence , the equation is A = 1.6865 m²
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You have recently been hired to survey water park! The park attractions can be found at the locations shown in the table on your grid map. Use this data to answer the questions to follow. Location Ordered Pairs Help Center (2, 3) Large Whirlpool (3, 14) Water Slide #1 (-6, 3) Water Slide #2 (16, 4) Water Slide #3 (-7, 6) Toddler Area (-3, -9) Lazy River (-7, 10) Concessions (6, -6) Gift Shop (8, -9) Restrooms (2, -9) Security Desk (5, 4) After identifying each attraction’s location with ordered pairs, you are now ready to calculate the slope between attractions using the slope formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Now calculate the point between these attractions by applying the midpoint formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Using your slope and end points calculate a linear equation, y = mx + b. and solve for b. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool
Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.
How to calculate the slope between attractions using the slope formula.To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:
Help Center to Water Slide #1:
Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)
Toddler area to Concessions:
Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)
Gift Shop to Restrooms:
Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)
Security desk to Water Slide #2:
Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)
Lazy River to Large Whirlpool:
Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5
Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)
Presently, let's calculate the linear equations for each case:
Help Center to Water Slide #1:
The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.
Toddler area to Concessions:
The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:
-7.5 = (-1/3)(1.5) + b
-7.5 = -0.5 + b
b = -7
Gift Shop to Restrooms:
The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.
Security desk to Water Slide #2:
The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.
Lazy River to Large Whirlpool:
The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:
12 = (2/5)(-2) + b
12 = -4/5 + b
b = 61/5
The Linear equations for each case are as follows:
Help Center to Water Slide #1: y = 3
Toddler area to Concessions: y = (-1/3)x - 7
Gift Shop to Restrooms: y = -9
Security desk to Water Slide #2: y = 4
Lazy River to Large Whirlpool: y = (2/5)x + 61/5
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Can somebody help me please
Consider the expression 6+(x+3)^2. Tabulate at least SIX different values of the expression.
Considering the expression 6+(x+3)^2. the table of at least SIX different values of the expression is
x y
0 15
1 22
2 31
3 42
4 55
5 70
How to determine the he table of at least SIX different values of the expressionThe table is completed by substituting the values of x in the given expression as follows
6 + ( x + 3 )^2
for x = 0, y = 6 + ( 0 + 3) ^2 = 15
for x = 1, y = 6 + ( 1 + 3) ^2 = 22
for x = 2, y = 6 + ( 2 + 3) ^2 = 31
for x = 3, y = 6 + ( 3 + 3) ^2 = 42
for x = 4, y = 6 + ( 4 + 3) ^2 = 55
for x = 5, y = 6 + ( 5 + 3) ^2 = 70
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Find the value of x. Then find the area of the triangle.
Step-by-step explanation:
law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
a, b, c are the sides, A, B, C are the corresponding opposite angles.
so,
16/sin(90) = x/sin(30)
16/1 = x/0.5
0.5 × 16 = x
x = 8 units
Pythagoras now gets us half the baseline (and therefore the full baseline) :
16² = x² + (baseline/2)² = 8² + (baseline/2)²
256 = 64 + baseline²/4
192 = baseline²/4
768 = baseline²
baseline = sqrt(768) = sqrt(256×3) = 16×sqrt(3) units
the area of a triangle is
baseline × height / 2
in our case
16×sqrt(3) × 8 / 2 = 16×sqrt(3) × 4 = 64×sqrt(3) units² =
= 110.8512517... units²
Which of the following could be the side measures of a right triangle?
A. 6ft, 5ft, 4ft C. 10ft, 8ft, 6ft
B. 8ft, 7ft, 6ft D. 12ft, 10ft, 8ft
Answer:
I don't know
Step-by-step explanation:
I'm just downloaded it
I really need help with this math question
Answer:
G
Step-by-step explanation:
The average (A) of two numbers, m and n, is given by the formula A = m+t/2 . Find
the average of the two numbers 36 and 72.
The solution is
Answer:
\(54\)
Step-by-step explanation:
Formula for average A of two numbers m and n is:
\(A=\frac{m+n}{2}\)
Substitute the value m=36 and n=72
\(A=\frac{36+72}{2}\)
This is equivalent to:
\(A=\frac{108}{2}\)
The average is:
\(A=54\)