1/5 1/5 1/5 perimeter triangle
The calculated perimeter of the triangle is 3/5
How to determine the perimeter of the triangleFrom the question, we have the following parameters that can be used in our computation:
The side lengths: 1/5, 1/5 and 1/5
This means that the triangle is an equilateral triangle
The perimeter of an equilateral triangle is calculated as
Perimeter = 3 * side length
substitute the known values in the above equation, so, we have the following representation
Perimeter = 3 * 1/5
Evaluate
Perimeter = 3/5
Hence, the perimeter of the triangle is 3/5
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which letter onthe diagram below represents a diameter of the circle.
Find the midpoint of the segment with the given endpoints.
(2,-9) and (7,-3)
Answer:
x midpoint 4.5 y midpoint -6
Step-by-step explanation:
Answer:
(9/2, -6)
Step-by-step explanation:
Midpoint formula: (x1+x2/2, y1+y2/2)
Select all the triangles below which are all translations of triangle x.
All the triangles which are all translations of triangle x include the following:
triangle A triangle F.What is a translation?In Mathematics and Geometry, the translation of a geometric figure to the left simply means subtracting a digit from the numerical value on the x-coordinate of the pre-image.
On the other hand, the translation of a geometric figure downward simply means subtracting a digit from the numerical value on the positive y-coordinate (y-axis) of the pre-image.
In conclusion, only triangles A and F are translations of triangle x because they represent a rigid transformation where the size and shape does not change since they have congruent pre-images and images.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Janet needs to paint the walls of a room shaped like a
rectangular prism. The room
has a length of 10 ft., a width of 15 ft, and a height of 8 ft. How much paint does she need to cover the
To solve this problem, we will use the formula of rectangular prism surface area.
The formula is:
A=2(wl+hl+hw)
A is the area, w is the width, l is the length, and h is the height.
So we will put in all the numbers.
A=2((15)(10)+(8)(10)+(8)(15))
Multiple all the numbers inside:
A=2(150+80+120)
Add all the numbers inside:
A=2(350)
Multiply:
A=700ft^2
Hope this helped!
For #81-84, fill in the missing dimensions from the given expression. Then rewrite the
expression as a product.
2x+24
(81.)
(82.)
2x
(83.)
84. Expression as a product
Choices for 81-84:
A) 2
E) 12
AE) 2x
CD) 4x(x+4)
24
B) 4
AB) 14
BC) 4x
CE) 2(2x+9)
C) 6
AC) 16
BD) 4(x+6)
DE) 2(x+12)
D) 9
AD)
x
BE) 2(2x+16)
ABC) 4x(x+14)
The missing dimensions from the given expression should be completed with the following:
(81.) A) 2
(82.) AD) x
(83.) E) 12
The expression as a product should be written as: DE) 2(x + 12).
What is a factored form?In Mathematics and Geometry, a factored form can be defined as a type of quadratic expression that is typically written as the product of two (2) linear factors and a constant.
In this scenario and exercise, we would complete the table above by showing the factored form and expanded form of each of the given expressions as follows;
x 12
2 2x 24
Note: 2x/2 = x.
24/2 = 12.
(2x + 24) = 2(x + 12).
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A loan is being paid off by payments of 1,000, 2,000, ..., 10,000 at the end of years 1, 2, ..., 10.
The effective annual interest rate is 18%.
Determine the amount of interest in the 7th payment.
Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.
We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000
At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.
For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals
1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000
For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2
For the seventh payment (end of year 7), the present value is:
7,000 x [(1 - (1 + r)-7) / r]
which equals
7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7
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11/12 - 5/8 in simplest form
Answer:
7/24
Step-by-step explanation:
11/12 - 5/8
Get a common denominator of 24
11/12 * 2/2 = 22/24
5/8 *3/3 = 15/24
22/24 -15/24 = 7/24
Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:(a) f(x) = c(x2 + 4), for x = 0, 1, 2, 3;(b) f(x) = c (2x) (33-x) , for x = 0, 1, 2. 2.^^(2 is supposed to be directly above x, but not in fraction form, same for 3 and 3-x)
The value of c is 1/17.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2
We have to find the value of c
Since f(x) represents the probability distribution x = 0, 1 ,2
So we have f(0)+f(1)+f(2)=1
c(0²+4)+c(1²+4)+c(2²+4)=1
4c+5c+8c=1
17c=1
Divide both sides by 17
c=1/17
Hence, the value of c is 1/17.
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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?
a.
1/3
b.
1/17
c.
1/2
d.
1/13
If there are 50 runners in a race. How many ways can the runners finish first, second, and third
Answer:
here are 117,600 ways the runners can finish first, second, and third in the race.
Step-by-step explanation:
The number of ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations. In this case, we are interested in selecting 3 runners from a group of 50.
The number of ways to choose the first-place finisher is 50 because any of the 50 runners can finish first. After one runner is selected for the first place, there are 49 remaining runners.
For the second-place finisher, there are 49 remaining runners to choose from since one runner has already been selected for the first place. Thus, the number of ways to choose the second-place finisher is 49.
Similarly, for the third-place finisher, there are 48 remaining runners to choose from since two runners have already been selected for the first and second places. Hence, the number of ways to choose the third-place finisher is 48.
To determine the total number of ways the runners can finish in first, second, and third places, we multiply the number of choices for each position: 50 * 49 * 48 = 117,600.
Therefore, there are 117,600 ways the runners can finish first, second, and third in the race.
Express 50 as a fraction of 80.
Give your answer in its simplest form.
Answer:
5/8
Step-by-step explanation:
To express 50 as a fraction of 80, we simply put 50 as the numerator and 80 as the denominator:
50 / 80
Now, we find the highest common factor of these two numbers. The highest common factor is 10, so the fraction becomes:
(5 * 10) / (8 * 10)
Striking 10 out of the numerator and denominator:
5/8
This is 50 as a fraction of 80 in its simplest form.
...................................
Answer:
D) 28
Step-by-step explanation:
Using my improbable math skills, I calculated that the answer is probably D
Correct me if I'm wrong~
The number of eggs in the refrigerator e decreased by 2 equals 14.
Enter an equation to represent the situation.
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
Nancy has to mark 1 1/2 and-1 1/2 on this number line. How many parts does she need between the integers 1 and 2, and between -1 and -2, to show1 1/2 and-1 1/2 on the number line?
Answer:
1
Step-by-step explanation:
according to hooke's law and Pythagorean theorem your answer is should be most definitely will be or is it honestly I don't know. but the answer should be too is in the number not the figure of speech.
Jorge randomly selects a digit from 0 to 9. What is the probability that the digit he selects is a prime number?
Step-by-step explanation:
{0,1,2,3,4,5,6,7,8,9}--set of numbers from 0 to 9
{2,3,5,7}---set of prime numbers from 0 tp 9
there are 10 numbers in the first set and 4 numbers in the second set.
4/9 is the probability that the digit he selects is a prime number
Hope that helps :)
evaluate the expression \(2(2 {}^{5)} \)
64
Explanation
\(2(2^5)\)Step 1
operate the exponent,so
\(\begin{gathered} 2(2^5) \\ 2(2\cdot2\cdot2\cdot2\cdot2) \\ 2(32) \end{gathered}\)Step 2
now, do the multiplication.
\(\begin{gathered} 2(32) \\ 64 \end{gathered}\)so, the answer is 64
I hope this helps you
help me please.. please
Step-by-step explanation:
Parallel to the x-axis means it is just a horizontal line with the value being the y-coordinate of the point:
y = -2
Answer:
y=-2
and m=0 must be your answer
Step-by-step explanation:
as line is parallel to x axis its slope will be zero as it does not have any definite x coordinate
so
equation of line is y-y'=m(x-x')
so m=0 m is slope
y'=-2 and x'=4
so by substituting the values
y+2=0
so y=-2
and m=0 is your answer
√-25/√9 please solve
Step-by-step explanation:
The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.
Let's break down the expression step by step:
√(-25) / √9
The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.
√(-1) is equal to "i," and the square root of 25 is 5.
So, the expression becomes:
i * 5 / √9
The square root of 9 is 3.
Now, we can simplify further:
i * 5 / 3
Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.
identify the time being asked 12 hours and 24 hours 1 quarter after 0:00h 2 quarter to 14:00h 3 half past 13:00h 4 5 to 23:00h
One quarter after 0:00h is 0:15h (12:15 AM) in the 12-hour format and 00:15h in the 24-hour format.
Two quarters to 14:00h is 13:30h (1:30 PM) in both the 12-hour and 24-hour formats.
Half past 13:00h is 13:30h (1:30 PM) in both the 12-hour and 24-hour formats.
Five minutes to 23:00h is 22:55h (10:55 PM) in both the 12-hour and 24-hour formats.
Let's identify the time being asked in both the 12-hour and 24-hour formats for each scenario:
One quarter after 0:00h:
In the 12-hour format, 0:00h is midnight or 12:00 AM.
One quarter after 0:00h would be 0:15h (or 12:15 AM).
In the 24-hour format, 0:00h remains the same as 00:00h.
One quarter after 0:00h would be 00:15h.
Two quarters to 14:00h:
In the 12-hour format, 14:00h is 2:00 PM.
Two quarters to 14:00h would be 13:30h (or 1:30 PM).
In the 24-hour format, 14:00h remains the same as 14:00h.
Two quarters to 14:00h would be 13:30h.
Half past 13:00h:
In the 12-hour format, 13:00h is 1:00 PM.
Half past 13:00h would be 13:30h (or 1:30 PM).
In the 24-hour format, 13:00h remains the same as 13:00h.
Half past 13:00h would be 13:30h.
Five minutes to 23:00h:
In the 12-hour format, 23:00h is 11:00 PM.
Five minutes to 23:00h would be 22:55h (or 10:55 PM).
In the 24-hour format, 23:00h remains the same as 23:00h. Five minutes to 23:00h would be 22:55h.
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you toss six coins at the same time. how many possible outcomes are there?
64
36
12
6
Answer:
64 outcomes
Step-by-step explanation:
Let the number of coins be n.Let the number of outcomes per coin be X.Given the following data;
Number of coins = 6
Number of outcomes for a single coin = 2
A single coin comprises of a head (H) and a tail (T), thus, the number of outcomes for a single coin is two (2).
To find how many possible outcomes we would have from tossing six coins at the same time, we would use the following formula;
\( Number \; of \; outcomes = X^{n} \)
Substituting the values, we have;
Number of outcomes = 2⁶
2⁶ = 2 * 2 * 2 * 2 * 2 * 2
2⁶ = 64
Number of outcomes = 64
Therefore, the number of outcomes for a single coin tossed at the same time is equal to sixty four (64). It would have a total of 32 heads (H) and a total of 32 tails (T).
What is the value of X in centimeters
Answer:
x = 22.5
Step-by-step explanation:
Similar figures have proportional side lengths
\(\frac{12}{18}\) = \(\frac{15}{x}\) \(\frac{12}{18}\) = \(\frac{2}{3}\)
\(\frac{2}{3}\) = \(\frac{15}{x}\)
2 x 7.5 = 15, so 3 x 7.5 = 22.5
x = 22.5
Can u help me please I will mark u brilliant
Answer:
c
Step-by-step explanation:
Answer:
the answer is 5
Step-by-step explanation:
If electricity is billed at a rate of $0.75 per KWH and you used on average 120 KWHs per month, what would you expect to pay each month?
You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.
How to find the expected monthly payTo calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.
Given:
Cost per KWH: $0.75
Average monthly usage: 120 KWHs
To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:
Monthly Cost = Cost per KWH * Average monthly usage
Plugging in the values, we have:
Monthly Cost = $0.75/KWH * 120 KWHs
Calculating the result:
Monthly Cost = $90
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Two companies allow you to pay monthly for your food truck permits. Company A charges a one-time fee of $150 and $45 per month. Company B charges a one time fee of $125 and $50 per month. Create a system of equations to show at what month the pay will be the same.
At 5th month , the pay will be the same.
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.
Main body:
Let total sales be y and number of months be x , so equations for each company will be=
Company A: y = 45x + 150
Company B: y = 50x + 125
as we are asked in what month the pay will be the same , so we equate both equations
45x + 150 = 50x + 125
5x = 25
x = 5
At 5th month , the pay will be the same.
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7+(10-4^2)÷4×1/2^3 need help
Answer:
6 13/16
Step-by-step explanation:
7+(10-4^2)÷4×1/2^3
PEMDAS says parentheses first
7+(10-16)÷4×1/2^3
7+(-6)÷4×1/2^3
Then exponents
7+(-6)÷4×1/8
Then multiply and divide from left to right
7+(-6)÷4×1/8
7+-3/2 *1/8
7 + -3/16
Add and subtract
6 13/16
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
If f(x)= 3x – 3 and g(x) = -x +4, then f(2)-9(-2)=
I might not be correct. I tried my best
What is the following product? ^3Vx^2•^4VX^3
Answer:
= 3v^2 x^27
Step-by-step explanation:
Apply exponent rule: aa = a^2
VV = V^2
=3V^2x^24x^3
Simplify x^24 x^3 : x^27
= 3v^2 x^27
The value of coin A is twice the value of coin B. Together, the total value of the two coins is $30.00 What is the value of each coin?