Yes; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
The side lengths 8, 15, and 20 form the sides of a .triangle
In order to determine whether the length of the sides forms a triangle, we will use the theorem that states that:
The sum of any two sides of the triangle must be greater than the thirdGiven the side lengths 8, 15 and 20
Taking the sum of any two sides;
8 + 15 = 23
Since 23 > 20 (third side), this shows that the theorem is true
Similarly;
8 + 20 = 28Since 28 > 15 (third side), this shows that the theorem is trueAlso;
15 + 20 = 35Since 35 > 8 (third side), this shows that the theorem is trueSince all the conditions are met, hence the side lengths form a triangle.
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PLEASE HELP ASAP ILL GIVE YOU BRAINLEST
Mira borrowed $1,200 from the bank to help pay rent. If the bank charged 6% interest over 9 months, how much did she pay the bank back all together?
Step-by-step explanation:1,200x 0.06 interest= 72.
She paid it over the course of 9 months, so 72x9= 648.
Mira pay $1,254 the bank back all together.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
We have to given that;
Mira borrowed $1,200 from the bank to help pay rent.
And, The bank charged 6% interest over 9 months.
Now, We know that;
⇒ Simple interest = PRT / 100
Where, P is principle amount, R is rate and T is time.
So, We get;
⇒ Simple interest = PRT / 100
⇒ Simple interest = 1200 × 6 × 9/12 × 1/100
⇒ Simple interest = $54
Hence, The total amount to pay back to bank is,
⇒ Amount = Principle amount + Interest
⇒ Amount = $1,200 + $54
⇒ Amount = $1,254
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solve 2r+3<7 and -r+9≤2
Answer:
r<2
r greater than or equal to 7
Step-by-step explanation:
The solution for r in the two of the given inequalities is r<2 and r ≥ 7, respectively.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given inequalities can be solved as shown below.
1.)
2r + 3 < 7
Subtract 3 from both sides of the inequality,
2r + 3 - 3 < 7 - 3
2r < 4
Divide both the sides of the inequality by 2,
2r/2 < 4/2
r < 2
2.)
-r + 9 ≤ 2
Subtract 9 from both sides of the inequality,
-r + 9 - 9 ≤ 2 - 9
-r ≤ - 7
Multiply from both sides of the inequality by -1,
(-r × -1) ≤ (-7 × -1)
r ≥ 7
Hence, the solution for r in the two of the given inequalities is r<2 and r ≥ 7, respectively.
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Can someone help with this question
Answer:
I got 3 i plugged the equation into a graphing calculator so C
Step-by-step explanation:
May someone help me with this question?
How do I find the scale factor and find the unknown lengths help please
Step-by-step explanation:
The scale factor is the ratio between corresponding sides.
18 / 6 = 3
Find the other sides using the scale factor.
x / 9 = 3
x = 27
y / 10 = 3
y = 30
You would like to add freshly made mint ice cream to your restaurant's menu, and
have decided to grow your own mint. Last month, your mint plant was 2 feet, 7
inches tall. You took care of the mint plant properly, and that care has paid off.
This month, it is 4 feet, 1 inch tall. How much did it grow?
please help me with this
Answer:
C) [tex] {6}^{6} [/tex]
Explanation:[tex] \frac{ {6}^{9} }{ {6}^{3} } = {6}^{9 - 3} = {6}^{6} [/tex]
i really need help on this one
Answer:the one going in a positive direction. so up lIke this /
Answer:
the bottom left choice,
positive graphs show the points going from bottom left of the graph to the upper right of it
negative correlation shows the opposite, points from the upper left to the lower right
Step-by-step explanation:
Need help with this ?
the answer is 1 divided by y to the exponent of 3. I attached the work to this so u can see what I got and how to do it. I hope this helps in anyway
question
$9.27 for 48 oz.
Answer: what is $9.27 tho????
Answer:
0.19
Step-by-step explanation:
What expression is equivalent to x2 - 49?
OA (x - 72
O B. (x + 7)2
OC. (x+7)(x-7)
D. (x+7)(7 - x)
Answer:
the answer to that is letter C. (x+7)(x-7)
javier rounded to the nearest half to estimate the product of 3 2/5 and -3 7/8. how to the estimate and the actual product compare
Answer “B”
Step-by-step explanation: The actual product is greater than the estimate. The numbers differ by less than one.
PLEASE HELP MEH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is D.
Step-by-step explanation:
3.4, 0.33, 0.3, 0.2, -2.5
Edit: 0.34, 0.33, 0.3, 0.2, -2.5
Le answer is an isosceles triangle
I have no explanation but if you want to- just trust me
Answer:
Okay, where's the question?
Find the equation of each line in slope intercept form , the slope is 5 and it goes through the point (2-1)
y - -5 = (5/2)(x - 3)
y + 5 = (5/2)x - 15/2
y = (5/2)x - 15/2 - 5
y = (5/2)x - 15/2 - 10/2
y = (5/2)x - 25/2
Answer:
y = 5x - 9
Step-by-step explanation:
point-slope equation:
y - y1 = m(x - x1)
y + 1 = 5(x - 2)
y + 1 = 5x - 10
- 1 - 1
y = 5x - 9
Simon bought 5 albums for $37.50. Matt bought 8 albums for $58.00. How much less did Matt spend per album than Simon?
Answer:
.25
Step-by-step explanation:
37.50/5=7.5
58/8=7.25
7.5-7.25=.25
Answer:
260
Step-by-step explanation:
So first you need to multiply 5 and 37. and the is 5×37 equals 185. So now your gonna multiply 8 by 58 and that is 464. So now that you have those two numbers ( 185, 464 ) your gonna add how ever much you need to get 464. So the closest to get to 464 is gonna be 260 I'm pretty sure.
DF=55 DE=2x+8 EF=5x-2
what is X?
Answer:
x=7
Step-by-step explanation:
DF=DE+EF=2x+8+5x-2=55
7x=49
x=7
[tex]0.33333333333333333333333...........[/tex]
as an fraction
q
Answer:
[tex]\frac{1}{3}[/tex]
I hope this helps!
Find the four consecutive odd integers whose sum is -324
Answer:
x ,x+2, x+4, x+6 it mst b it
1 5/6 + 1 1/3 help will give points
Answer:
37/6
Step-by-step explanation:
15/6+11/3=37/6
6 1/6,6.16
Please answer! Will give brainiest! Which of the following side lengths could form a right triangle? Circle all that apply
A. 3, 7, 10 B. 4, 9, 10 C. 5, 12, 13 D. 6, 8, 10
Answer:
C. 5, 12 and 13
D. 6, 8 and 10
Step-by-step explanation:
To see if three side lengths would give you a right triangle, you have to use the Pythagoras Theorem which is a² + b² = c², where c is the hypotenuse (longest side) and a and b are adjacent to the right angle.
A. 3² + 7² ≠ 10²
9 + 49 ≠ 100
58 ≠ 100
B. 4² + 9² ≠ 10²
16 + 81 ≠ 100
97 ≠ 100
C. 5² + 12² = 13²
25 + 144 = 169
169 = 169
D. 6² + 8² = 10²
36 + 64 = 100
100 = 100
The newspaper, The constellation, printed in 1859, had width 20 in and length 35 in. What was the perimeter? What was the area?
Answer:
110 in.
Step-by-step explanation:
newspapers have four sides because it is a square
one side is parallel to the other side.
so
20 × 2 for the width
35 × 2 for the height
20 × 2 = 40
35 × 2 = 70
add together for the perimeter.
40 + 70 = 110 in.
you could also...
20 + 35 + 20 + 35 = 110 in.
Nadia and some friends went to a movie. Their total cost was $30.24 which included fasted of 2.24 write an algebraic expreeeion to represent the price of each movie ticket not including tastes. Let x represent the number of nature friend who went to the movies. Y’all please help lol I’m so stressed
Answer:
You can put this solution
30.24 - 2.24 = $28 just tickets
$28/x = $/person
or
(30.24 - 2.24)/x
Step-by-step explanation:
x + 7 - 5x - 5 simplified
Step-by-step explanation:
x + 7- 5x- 5
= x - 5x +7- 5
= -4x + 2
= -2 (2x - 1)
Answer:
-4x+2
Step-by-step explanation:
Combine Like Terms:
x + 7 - 5x - 5
-4x + 7 - 5
-4x + 2
9. Which of the following equations represents a line with a positive slope and a
negative y intercept?
O y = 3.5x
O y = 7.5x – 2
O y = 1/4x +7
O y = -5x – 8
On his way to the office each workday (Monday through Friday), Darrell walks by a charitable foundation with a donation bucket set out front. He has decided that he nts to try to be more charitable, so starting next week, he plans to put $1 in donation bucket every day he walks by. He has also estimated that he has already donated $23 to the foundation, Part if x represents the number of weeks thłt Darrell has been making a donation, write a recursive function to represent the total amount he has donated Explain your work
Answerer: Darrell has already donated $23 to the foundation, so f (0) =$23.
Because x represents the number of weeks, and Darrell is contributing $1 every day, Monday through Friday, he will contribute a total of $5 per week. So, the total amount donated will increase by $5 each week. Therefore, the recursive function will be f (x) =f(x - 1) + $5, where f ($23).
In the molecule of CH4 there are______
Hydrogen atoms, and____
Carbon atom.
A.4 Hydrogen,4 Carbon
B.1 Hydrogen, 4 Carbon
C.1 Carbon. 4 Hydrogen
Answer:
c
Step-by-step explanation:
the answer is 1 carbon and 4 hydrogen
Answer:
4 hydrogen atoms and 1 carbon atom, C
Step-by-step explanation:
In CH4, a number next to an atom´s symbol represents the number of that atom. When there is only one, there will be no number shown next to the atom´s symbol.
if your gross pay was $365 and your net pay was $313.90 what percent of your pay went towards deductions
A company ordered 6-foot long oak boards. The length (l) of the boards that the company received varies from a maximum length of 0.05 inches longer than 6 feet to a minimum length of 0.05 inches shorter than 6 feet. Write and solve an absolute value inequality to represent the possible length (l) of each board in inches.
f(x)=∣9/8 (x−8)∣
Answer:
Absolute value equation is:
|L - 72| ≤ 0.05
Solution is 71.05 ≤ L ≤ 72.5
Step-by-step explanation:
We are told that the length (l) of the boards that the company received varies from a maximum length of 0.05 inches longer than 6 feet to a minimum length of 0.05 inches shorter than 6 feet.
From conversions, 1 ft gives 12 inches. Thus, converting the 6 ft to inches gives us; 6 × 12 = 72 inches
This means that minimum value of L is 72 - 0.05 and maximum is 72 + 0.05.
Thus,the absolute value equation is;
|L - 72| ≤ 0.05
Solving this gives;
L - 72 ≤ 0.05 and -(L - 72) ≤ 0.05
This gives;
L ≤ 72 + 0.05 and -L + 72 ≤ 0.05
L ≤ 72.05 and 72 - 0.5 ≤ L
L ≤ 72.05 and 71.05 ≤ L
What is the distance between the points (-8,-2) and (7, 6) ?
A 4.1
D 17
C 23
D) 289
Answer:
D. 17
Step-by-step explanation:
Trust me this one is correct :) Please put brainliest if it's true.
Answer:D)17
Step-by-step explanation: