Answers
Answer:
Length of third side is: [tex]\mathbf{8m^3-4m^2+3m}[/tex]
Step-by-step explanation:
Perimeter of triangle = [tex]18m^3+2m^2-m[/tex]
Length of side 1= [tex]5m^3+3m^2-2m[/tex]
Length of side 2= [tex]5m^3+3m^2-2m[/tex]
We need to find length of third side.
The formula used is: [tex]Perimeter \:of\:triangle=Sum\:of\:all\:sides[/tex]
Putting values and finding length of third side.
[tex]Perimeter \:of\:triangle=Sum\:of\:all\:sides\\18m^3+2m^2-m=5m^3+3m^2-2m+5m^3+3m^2-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=5m^3+5m^3+3m^2+3m^2-2m-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=10m^3+6m^2-4m+Length\:of\:3rd\:side\\Length\:of\:3rd\:side=18m^3+2m^2-m-(10m^3+6m^2-4m)\\Length\:of\:3rd\:side=18m^3+2m^2-m-10m^3-6m^2+4m\\Length\:of\:3rd\:side=18m^3-10m^3+2m^2-6m^2-m+4m\\Length\:of\:3rd\:side=8m^3-4m^2+3m[/tex]
So, Length of third side is: [tex]\mathbf{8m^3-4m^2+3m}[/tex]
Related Questions
state the inverse, contrapositive, and converse of each conditional statement. then indicate whether the inverse, contrapositive, and converse are true. (a) if 3 is a prime number then 5 is an even number. (b) if 7 < 5, then 5 < 3.
Answers
The inverse is the false and the Converse is the true.
According to the statement
We have to find that the contra positive, and converse are true.
So, For this purpose, we know that the
A conditional statement may be a statement which will be written within the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is named the hypothesis and Q is termed the conclusion.
From the given information:
if 3 could be a prime quantity then 5 is a fair number.
Then
a) Inverse: If 3 isn't a primary number, then 5 isn't a fair number. (True)
Contra positive: If five isn't an excellent number, then 3 isn't a main number. (False)
Converse: If 5 is a good number, then 3 may be a prime quantity. (True).
And
b) if 7 < 5, then 5 < 3
This statement is that the false because the primary statement is that the false.
So, The inverse is the false and the Converse is the true.
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5f+2h=100
Solve for F
Answers
Solving for the variable gives f = 100 - 2h/5
What is subject of formula?Subject of formula can be defined as the variable that is expressed in terms of other variables in a given expression, function of equation.
It is the variable worked out in an equation and left to stand on its own on one side of the equality sign
Given the equation;
5f+2h = 100
To make 'f' the subject of formula, we take the following steps;
Take '2' over the equality sign
5f = 100 - 2h
Now, let's make 'f' the subject by dividing both sides by its coefficient which is 5
We have;
5f/5 = 100 - 2h/5
Divide through
f = 100 - 2h/5
Thus, solving for the variable gives f = 100 - 2h/5
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Alf earns £9.00 per hour and works 33 hours each week. He spends a total of £24.40 each week travelling to and from work. Next month he is getting a 4% pay rise but his travel costs are increasing by 15%.
How much extra will he have each week?
Answers
Answer:
£8.22
Step-by-step explanation:
9x33=£297
297-24.40=£272.60
297×4%=£11.88
297+11.88=£308.88
24.40×15%=£3.66
24.40+3.66=£28.06
308.88-28.06=280.82
280.82-272.60=£8.22
URGENT 1000 POINTS. BRAINLIEST GIVER...
(6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11 in scientific notation. explain step by step!
Answers
Answer:
see image.
Step-by-step explanation:
Basically, what's happening here is you are adjusting one of the terms so that they both have the same exponent. Then you can factor out that 10^11 term and just add the two remaining terms.
see image.
What is 80% of 63? Do not round your answer.
Answers
Answer:
What is 80% of 63?
50.4 is the right answer
Someone please help me on #3 and 4 they are different problems. Please help me how to solve this step by step. (Sorry about the bad picture.)
Answers
Jack: six and a quarter = 6 1/4
Sister: three and a half = 3 1/2
6 + 3 = 9 + 1/2 = 9.5 + 1/4 = 9.75 cakes altogether
4.
She uses 10x the amount of flour, so will also use 10x the amount of eggs.
10 x 8 = 80 eggs
Which statement is true?
The Mississippi River in Iowa is at an elevation of 279 and Death Valley, in California is at an elevation of -282 feet. Which statement is true?
A |279| > |-282|
B |279| < |-282|
C 279 = 282
D 279 < -282
Answers
Answer:
Step-by-step explanation:
if we consider mod then the negative turns to positive and positive remains positive so it will be
279 < 282 which is l279l < l-282l
Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 21 girls in the book club, how many boys are in the club?
Answers
Answer:
10
Step-by-step explanation:
(21-1)/2
If f(x)=12x+4, what is f(2)? If it does not exist,enter DNE.
Answers
Answer:[tex]f(2) =28[/tex]
Step-by-step explanation:
When it says f(2), it means to plug 2 into the x in the function f(x), so therefore:
[tex]12(2)+4\\\\24+4\\\\28[/tex]
The cost c of a shirt is less than $27. 50.
Answers
(7⁰)^x=1 What are the possible values for X?
Answers
Answer:
The domain is [-∞,∞]
Step-by-step explanation:
[tex]7^0 = 1\\1^x = 1, solve\ for\ x.\\[/tex]
1 raised to any and every power will always equal 1.
Step-by-step explanation:
Given :[tex](1)^{x} =1[/tex]
Given that the base of the exponent is 1 now you should apply the rule that any 1 to the power any number is 1 and that any number to the power of 0 is 1 so that makes us comer to a conclusion that x can be any positive Integer.
therefore the answer is
X∈(+)z
z representing the integer in symbol
hope this helps..!!!!!!
Can someone please help mee (20 points
brainliest!!!)
Answers
Answer:
60,000
Step-by-step explanation:
going straight across the line we can see that for $140 the demand in thousands 60
so
you can buy 60,000 units
Answer:
60 because oficial the line goes to 60
$72 is 4.5% of what amount
Answers
$72 is 4.5% of 6.25 amount. 6.25 Percentage of 72 is 4.5.
By considering the given information
[tex]72\times x=4.5\\x=\frac{4.5}{72}\times 100\\ x=6.25[/tex]
A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred. Per 100 is what the word percent means. The letter "%" stands for it. percent, which is a relative value used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
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$72 is 4.5% = $3.24
Solution :
The percentage is a rate or proportion per hundred,
The percentage is also used more generally to mean any proportion, as in Studies have shown that a large percentage of people love cute animals.
A percent is one one-hundredth (1/100) of something. The percentage refers to the rate or proportion of that one hundred. Usually, you will see the word percentage used in math equations or statistics or when someone is measuring the increase and decrease in rates
$72 is 4.5% =?
$72 is 10% = $7.2
$72 is 5% = $7.2 /2 = $3.6
$72 is 1/2%= $72 * .5/100 = $.72*.5 = $ 0.36
$72 is 4.5% = 5% - .5% = $3.6- $.36 = $3.24
$72 is 4.5% = $3.24
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Please Help
Thanks In advance
Answers
Answer:
4
Step-by-step explanation:
you do cross multiplication
you do 3x12÷9
Do cross multiplication to solve!
i need help with this
Answers
SOMEONE HELP ME BEFORE I PASS OUT
1. |X|≤8
2. |X|≤27
Answers
Answer: 1. [-8, 8]
2. [-27, 27]
Step-by-step explanation:
1. |X|≤8
x≤8 or x>=-8
-8<=x<=8 ==> [-8, 8]
2. |X|≤27
x≤27 or x>=-27
-27<=x<=27 ==> [-27, 27]
2(3x-2)-4x+1= 9 solve for x
Answers
6x-4-4x+1=9
6x-4x=2x
-4+1=-3
2x-3=9
+3 +3
2x=12
Divide by 2.
2x/2=2 and 12 divided by 2 is 6.
Thus, x=6
Hope this helps.
Toby needs to save a minimum of $250. If Toby can save $57 a month, how many months will it take for him to save enough? Select the inequality that represents this situation.
Answers
The inequality that represents this situation is 57x <= 250
How to select the inequality that represents this situation?The given parameters are
Minimum savings = $250
Monthly savings = $57
Let the number of months be x
So, we have the following inequality
Monthly savings * x <= Minimum savings
Substitute the known values in the above equation
57 * x <= 250
Evaluate the product
57x <= 250
Hence, the inequality that represents this situation is 57x <= 250
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he second of a triangle is 6 more than the first angle. The third angle is 12 less than the first angle. Find all three angles if the sum of their angles is equal to 180°
Answers
Answer:
Let first angle be x
x+x+6+x-12=180°
3x-6=180°
3x=186
x=63°
First angle=63°
Second Angle=69°
Third angle=51°
Hope it helps you
Examine the diagram.
XX
15
3/7
26
4 8
Angle 4 and angle
angles.
are alternate interior
Answers
Answer:
angle 5
Step-by-step explanation:
Given transversal x crossing lines y and z and angles numbered 1 to 8, you want the number of the angle that is an alternate interior angle to angle 4.
Alternate interior anglesIn this context, "alternate" mean the angles are on opposite sides of the transversal. "Interior" means the angles are between the lines the transversal crosses.
The term "alternate interior angles" is used to refer to angles that have their vertices at the intersection points where the two lines cross the transversal. (It excludes angles that have the same vertex, or do not share a side.)
The angle that is an alternate interior angle relative to angle 4 is angle 5.
WILL GIVE U MORE POINTS BY BRAINLIEST
Answers
Answer:1.75
Step-by-step explanation:
7x+8=3x+15
4x+8=15
4x=7
x=1.75
Step by step
Angle 1 and angle 3 are vertical angles, they are congruent /the same/ equal.
Angle 1 = 7x + 8
Angle 3 = 3x + 15
So our equation is
7x + 8 = 3x + 15
Solve for x
Subtract 3x from both sides to combine variables
7x - 3x + 8 = 3x - 3x + 15
4x + 8 = 15
Now subtract 8 from both sides to isolate x
4x + 8 - 8 = 15 - 8
4x = 7
Divide both sides by 4 to solve for x
4/4 x = 7/4
x = 1.75
Now to answer the question
What is the value of angle 1?
Angle 1 is 7x + 8
Substitute 1.75 for x in the equation
(7)(1.75) + 8 = angle 1
20.25 = angle 1
Check your work and do the same for Angle 3
3x + 15
Substitute 1.75 for x
(3)(1.75) + 15 = angle 3
20.25 for angle 3
Simplify (14.1x10^5) - (2.9x10^5). Write your answer in scientific notation.
Answers
Answer: 1.12x10⁶
Step-by-step explanation:
(14.1x10⁵)-(2.9x10⁵)=
(10⁵)(14.1-2,9)=
(11.2)(10⁵)=
(1.12)(10)(10⁵)=
(1.12)(10⁶)=
1.12x10⁶
Answer:
1.12x10⁶
Step-by-step explanation:
What proportion of sample size n =10 will have a mean salary greater than $60,000
Answers
Answer:
n/10 x 10/60,000
Step-by-step explanation:
I think it's right please don't report
Answer:
N/10 x 10/60,000
Bashir was out at a restaurant for dinner when the bill came. His dinner came to $32.
After adding in a tip, before tax, he paid $39.36. Find the percent tip.
Answers
Answer:
23%
Step-by-step explanation:
39.36-32=7.36
7.36/32=.23
23 percent
describe and illustrate the situation when the minimum of a two variable function can be placed higher than its maximum. what type of extrema is this?
Answers
For the rare case that the outcome of the second derivative matrix examination is inconclusive, higher order derivatives have to be examined.
What do math extrema mean?
Any point in calculus when the value of a function is either the highest (a maximum) or the lowest (a minimum) (a minimum). There are maxima and minima that are both absolute and relative (or local).Identify every stationary point. The solution set that results from setting the partial first derivatives to zero includes those points.Look at each stationary point's personality. This is done explicitly in the first case by looking at the eigenvalues of the second derivative matrix. The fact that there are quick formulas for this if there are just two variables, is superior.Higher order derivatives must be investigated in the improbable event that the results of the second derivative matrix study are ambiguous. Sadly, no set recipes can be developed in this situation; rather, each function must be considered individually.Learn more about extrema mean
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math 50 points please dont lie
Answers
Answer:
D. 1,740
Step-by-step explanation:
10 to the 3rd power = 10*10*10=1000
1.74*1000=1740
Answer:
d) 1,740
Explanation:
Given following:
[tex]\rightarrow \sf 1.74 \times 10^3[/tex]
expand
[tex]\rightarrow \sf 1.74 \times 10 \times 10 \times 10[/tex]
multiply
[tex]\rightarrow \sf 1.74 \times 1000[/tex]
simplify by moving the decimal point 3 units to the right
[tex]\rightarrow \sf 1740.0[/tex]
Please help with this. I have to finish it today
Note: can you make it where i can say it Infront of my class?
Answers
Answer:
The coordinates of W,X,Y,Z are W= (3,4) X= (1,4) Y= (2,1) Z= (4,2)
Step-by-step explanation:
When you reflect the coordinates to the other side of the graph, you get these^^^^ coordinates.
Write an algebraic expression for the statement: the income earned at $9.25 per hour for x hours
Answers
Answer:
9.25x
Step-by-step explanation:
can someone please help me or imma get an F! :')
Answers
Answer:
17,84,9,34,71,35,18
Step-by-step explanation:
I need help its due tmr
Answers
Answer:
1. 27
2. 18
3. 905.400
4. 6.830
Step-by-step explanation:
Any number (ending number/last number) with 1,2,3,4 is rounded down, and any number (ending number/last number) with 5,6,7,8,9 is rounded up.
1. It is closer to 27.
2. it is closer to 18.
3. It is closer to 905.400
4. It is 6.825 which ends in 5 so it is rounded up.