Which of the following could be the side lengths of a triangle?
A. 2, 3, 6
B. 9, 10, 19
C. 5, 8, 15
D. 12, 15, 25
Answer:
The answer would be D. 12, 15, and 25.
Step-by-step explanation:
The first two sides, sum must be larger than the third side.
so 12+15=27 which is larger than 25
The correct answer for the side lengths of a triangle is D. 12, 15, 25.
What is the side lengths of a triangle rule?The sides of a triangle rule asserts that the sum of the lengths of any two sides of a traingle has to be greater than the length of the third side.
If a,b,c are the sides of the triangle then,
a + b > c
Now in the given question let us suppose a,b,c be the length of the sides
A. 2, 3, 6
Here, a = 2, b= 3 and c = 6
Applying sides of a triangle rule,
a + b > c
⇒2 + 3= 5 which is less than 6
Here, a + b <c
Therefore , these are not the lengths of triangle.
B. 9, 10, 19
Here, a = 9, b= 10 and c = 19
Applying sides of a triangle rule,
a + b > c
⇒9 + 9= 18 which is less than 19
Here, a + b <c
Therefore , these are not the lengths of triangle.
C. 5, 8, 15
Here, a = 5, b= 8 and c = 15
Applying sides of a triangle rule,
a + b > c
⇒5 + 8 = 12 which is less than 15
Here, a + b <c
Therefore , these are not the lengths of triangle.
D. 12, 15, 25
Here, a = 12, b= 15 and c = 25
Applying sides of a triangle rule,
a + b > c
⇒12 + 15 = 27 which is greater than 25
Here, a + b > c
Therefore , these are the lengths of triangle.
Hence,The correct answer for the side lengths of a triangle is D. 12, 15, 25.
More about length of the side of triangle rule :
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The total rainfall for two days was 14.6 mm. The first day's total was 4.5 mm less than the second
day's. How much rain fell on each day in cm?
Answer:
first day = 5.05mm = 0.505cm
second day = 9.55mm = 0.955cm
Step-by-step explanation:
Let x represent first day
Let y represent second day
x + y = 14.6
x = y - 4.5
(y - 4.5) + y = 14.6
2y - 4.5 = 14.6
2y = 14.6 + 4.5
2y = 19.1
Divide both sides by coefficient of y which is 2
y = 9.55
Substituting value of y in the equation x + y = 14.6
x + 9.55 = 14.6
x = 14.6 - 9.55
x = 5.05
To convert the values in mm to cm you divide them by 10 since 1cm=10mm
what is 186 over 31
Answer:
6
Step-by-step explanation:
combine like terms: 11y-2x-10y-y+6x
Answer:1y+7x
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
11 y - 2 x - 10 y - y + 6 x . (Subtract all the y's first then the x's)
4x
The population of a South America country is about 17,400,000. Which expression shows this number in scientific notation?
Answer:
1.74x10^7
Step-by-step explanation:
you count how many times you moved the decimal to the right
can i have brainliest? i only need 2 more
Answer:
1.74x10^7
Step-by-step explanation:
Solve:
-8(x - 3) + 5x < 9(x + 12)
This is Algebra 1
Answer:
The answer is x > -7
Step-by-step explanation:
The starting out equation is:
-8(x - 3) + 5x < 9(x + 12)
Once you've got your equation down, you have to remove the parentheses by doing distributive property, and multiplying the -8 by x and -3, [-8(x-3)] and the 9 by x and 12, [9(x + 12)]
Once you do that, you have something like this:
-8x + 24 + 5x < 9x + 108
Then you have to add like terms. That means adding -8x to the positive 5x, and only that since thats the only possible way.
-3x + 24 < 9x + 108
When that's over, you have to move the variable(in my case, 9x) to the left-hand side and change its sign:
-3x -9x + 24 < 108
You see that instead of positive 9x, like it was, it's now negative 9x since we changed its location.
And now do the same to the constant (in my case, 24) to the right-hand side. make sure to reverse its sign aswell, so now it's a negative 24. Now it looks a bit like this:
-3x -9x < 108 -24
Collect like terms (subtracting -9x by -3x, subtracting 108 by -24)
-12x < 84
Now that we isolated the variable, we have to divide it by -12.
KEEP IN MIND!!
When doing work like this, at some point you have to divide the variable by itself, and same thing to the other side. When the variable is a positive number and you're dividing by a positive number, DONT REVERSE THE GREATER/LESS (whatever you have) SIGN!!
When you are dividing by a negative number,
REVERSE THE SIGN!!
I always forgot this and got it wrong back then!!
Back to the lesson, itll look like this when dividing
-12x < 84
------ ------
-12x -12x
Once you divide it, you'll get this
x > -7
I hope this helped!
What is the sum1,000+2,000=
Answer:
3000
Step-by-step explanation:
1000 + 2000 = 3000
Step-by-step explanation:
sum1,000+2,000=3000.is yoir answer
Write the sentence as an equation.
247 is equal to 144 more than the quantity 195 times v
Answer:
247 = 144 + (195 ⋅ v)
A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29.a) trueb) false
Complete question :
A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29
a. State whether the following statement is true or false. The population is all students enrolled in the accounting class.
b. Does the value 3.29 represent the population parameter or the sample statistic?
Answer:
True ; population parameter
Step-by-step explanation: The population comprises of all sets or participants relating to a study or experiment. For example, a population of male adults in the United States refers to the entire pool of adult population in the country. Hence, in the scenario above, the population refers to the entire student in the accounting class since the accounting class represents the entire pool of students.
B.) population parameter
Statistical estimates derived from a population is called the a parameter, since 3.29 represent the average score of the entire class.
Same statistic represents estimates derived from a sample (subset of the entire population).
Solve problem step by step 3(2x-4)=8
Answer:
x = 10/3
Step-by-step explanation:
3(2x-4) = 8
3*2x + 3*-4 = 8
6x - 12 = 8
6x = 8 + 12
6x = 20
x = 20/6
x = 10/3
Check:
3((2*10/3) - 4) = 8
3(20/3 - 4) = 8
20 - 3*4 = 8
20 - 12 = 8
2. Help with this pls
I believe the answer is A.
Someone please help! :(
Answer:
See below.
Step-by-step explanation:
Start with triangle ABC with side BC lying on line n.
Draw a line through point A parallel to line n, and call it line m.
Angles 1 and 3 are alternate interior angle of parallel lines and are congruent.
Angle 2 and 4 are alternate interior angles of parallel lines and are congruent.
The sum of the measures of angles angles 1, BAC, and 2 is 180 since they lie on a line.
m<1 + m<BAC + m<2 = 180
Now we substitute in the angles we know are congruent by alternate interior angles (written above).
m<3 + m<BAC + m<4 = 180
A water ballon shaped like a sphere is filled with water.The water ballon has a diameter of 3 inches.Which measurement is closest to the volume of water in the water ballon in cubic inches?
A. 14.13 cu. in.
B. 3.53 cu. in.
C. 113.04 cu. in.
D. 3.33 cu. in.
Answer:
the answer is (A) 14.13 cu. in
Step-by-step explanation:
Is A 14.13
explanation divide by to get radius then use the formula 4/3πr to the third
How many calories will Darrel burn in 1 minute while kayaking enter the answer below in the box 50/200, 100/400, 150/600, 200/800
Answer: 100/400
Step-by-step explanation:
Which is not a solution of 5(2x+4)[tex]\geq[/tex] 2(x+34)? pllllllzzzzzz i need this so much
I think it's help u so follow me and brainlist me if it's wrong then tell me
g(x) = x² + 4x-1
Solve
Answer:
Using the quadratic formula:
x = [-4 +- sqr root (16 - 4 * 1 * -1)] / 2 *1
x = [-4 +- sqr root (20)] / 2
x1 = [-4 + sqr root (20)] / 2
x2 = [-4 - sqr root (20)] / 2
x1 = 0.23607
x2 = -4.2361
Step-by-step explanation:
Answer:
x = - 2 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
g(x) = x² + 4x - 1
To solve for x let g(x) = 0, that is
x² + 4x - 1 = 0 ( add 1 to both sides )
x² + 4x = 1
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 1 + 4
(x + 2)² = 5 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{5}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{5}[/tex]
Thus solutions in exact form are
x = - 2 - [tex]\sqrt{5}[/tex] , x = - 2 + [tex]\sqrt{5}[/tex]
Evaluate k ^5 · m If k=2 and k=5
Answer:
32, 3125
Step-by-step explanation:
2^5=32 and 5^5=3125
1. Calculate the simple interest over an amount of N$ 2500 that is invested for 3 years and 6 months at a rate of 7% pa.
Answer:
N$ 612.5
Step by step explaination:
Given,
Principal or'P'=N$2500
Time or'n'=3 years & 6 months or 3.5 years
Rate of profit or 'r'=7% or 7/100
Profit or 'I'=?
_____________________________________
We know,
I=P*n*r
I=2500*3.5*7/100
I=612.5
So,simple interest is N$ 612.5.
Clear parentheses and combine like terms:
Answer:
A. 14uv+7uv^2
Step-by-step explanation:
9uv+3u^2+5uv+4u^2
9uv+5uv+3u^2+4u^2
14uv+7uv^2
Hope this helps ;) ❤❤❤
Evaluate f(x) = 12 for the function f(x) = 5(x - 3) + 17
Answer:
62
Step-by-step explanation:
12-3=9
5x9=45
45+17=62
Answer:
f(12)= 62
Step-by-step explanation:
Plug 12 into x.
5(12-3)+17
45+17
= 62
Which is the length of x? 1 7/9 2 1/2 1 1/4 1 3/5
Answer:
option D. x = 1 3/5
Step-by-step explanation:
ratio and proportion
4 = x
5 2
X multiply:
5x = 4(2)
5x = 8
x = 8 / 5
x = 1 3/5
Answer:
x = 1 3/5
Step-by-step explanation:
x = 1 3/5
x/8 = 3/4 solve for x
Answer: X= 6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
First, multiply 8 to both sides:
(x/8)8 = (3/4)8
x = (3 * 8)/4
First, divide 8 with 4:
x = 3 * (8/4) = 3 * 2
Finally, simplify by multiplying:
x = 3 * 2
x = 6
x = 6 is your answer.
~
if f(x) = 3x +2, g(x) = 4x, what is f(g(x)?
Answer:12x+2
Step-by-step explanation: the first step is to put g of x in f of x like this
3(4x)+2
(Giving Brailniest) What is 18x+20
Answer:
[tex]2(9x+10)[/tex]
Step-by-step explanation:
[tex]18x+20[/tex]
First, we have to factor. We will have to factor out 2 to get the answer(Factor out 2 from 18x+20).
Answer:
[tex]2(9x+10)[/tex]
Hope this helps!
The diameter of the Sun is 1.4 x 10⁶ km. The diameter of the planet mars is about 7000km. What is the approximate ratio of the diameter of the Sun to the diameter of Mars?
Answer:
200 : 1
Step-by-step explanation:
Given that,
The diameter of the Sun is 1.4 x 10⁶ km and the diameter of the planet mars is 7000 km.
We need to find the ratio of the diameter of the Sun to the diameter of Mars. Let the ratio is R. So,
[tex]R=\dfrac{\text{diameter of the Sun}}{\text{diameter of Mars}}\\\\R=\dfrac{1.4\times 10^6\ km}{7000\ km}\\\\R=\dfrac{200}{1}[/tex]
Hence, the ratio is 200:1.
A car travels 200 ft before stopping.How many meters is this?
Answer:
the answer is 60.96
Step-by-step explanation:
*please give me brainliest, i only need four more*
HELPPPPPPP URGENT AGAIN.!!!! The coordinates of which point are (–3, –6)? point A point B point C point D
Answer:
Point C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Out of these numbers which ones are multiples of 7 {−7, −4, 2, 14, 21, 34, 42}
Answer:
-7, 14, 21, and 42
Step-by-step explanation:
7•-1=-7
7•2=14
7•3=21
7•6=42
When registering their cars, owners must identify the color that covers the largest portion of the vehicle. In one region, the probability that car was mainly white was 0.24, the probability that it was mainly silver was 0.22 and the probability that it was mainly black was 0.19. In this region, are the events "silver" and "black" mutually exclusive? Find the probability that a randomly selected car from this region is mainly silver OR mainly black.
Answer:
0.41 probability
Step-by-step explanation:
0.22 + 0.19 = 0.41
Answer:Yes they are mutually exclusive!
0.22 + 0.19 = 0.41
Factor completely
4x^2 - 18x - 36
Answer: 2(2x + 3)(x - 6)
Step-by-step explanation: For any factoring problem you do, your first
task will be to determine if a GCF exists for the original polynomial.
If a GCF does exist, it must be factored out as the first step to the problem.
In the problem you see here, the 3 terms in
the original polynomial have a GCF of 2.
So a 2 must be factored out as your first step.
This leaves you with 2(2x² - 9x - 18).
This does not make your life a whole lot easier however
because you still have a coefficient on the x squared term.
Factoring from here, you get 2(2x + 3)(x - 6).
Answer:
2(x - 6)(2x + 3)
Step-by-step explanation:
There are a few steps to factoring depending on the polynomial.
Step 1. Factor our a common factor if possible.
Every term is divisible by 2, so factor out a 2.
4x^2 - 18x - 36 =
= 2(2x^2 - 9x - 18)
Step 2. We need to factor the quadratic trinomial.
Now we have a quadratic trinomial, in which the x^2 term is not plain x^2, but it has a coefficient of 2.
Our polynomial is of the form ax^2 + bx + c, with "a" not equal to 1.
We have 2x^2 - 9x - 18, so we have a = 2, b = -9, c = -18.
We can try guessing, but instead, I will use the "ac" method.
Step A. Multiply coefficients ac:
ac = 2(-18) = -36
Step B. Now we need two numbers that add to b and multiply to ac.
We need two numbers that add to -9 and multiply to -36.
The numbers are -12 and 3 since (-12)(3) = -36, and -12 + 3 = -9.
We now break up the middle term, -9x, using these two numbers.
= 2(2x^2 - 12x + 3x - 18)
Now we factor by grouping. Factor a common factor out of the first two terms, and factor a common factor out of the last two terms.
= 2[2x(x - 6) + 3(x - 6)]
x - 6 is a common factor inside the brackets, so we factor it out inside the brackets.
= 2[(x - 6)(2x + 3)]
= 2(x - 6)(2x + 3)