==================================================
Explanation:
Let a = 4 and b = 18 be the two known sides of the triangle.
Let c be the remaining side
We'll use a version of the triangle inequality theorem to set up the possible range of values for c.
The range of values for c is determined by the following
b-a < c < b+a
18-4 < c < 18+4
14 < c < 22
Telling us that the third side c is between 14 and 22, excluding both endpoints. This means c = 14 and c = 22 are not allowed. If either value were to happen, then the triangle becomes a single line instead. Try it out with slips of paper.
Because c = 14 is not allowed, we must go to the next whole number up. Therefore, c = 15 is the smallest possible length for the third side, when the third side is a whole number.
If the third side wasn't a whole number, then we could have something like c = 14.1 or c = 14.01 or c = 14.001 or c = 14.0001, and so on. We could steadily get closer and closer to 14, but never actually arrive to it. In short, there is no "smallest third side". This is likely why your teacher is focusing on the whole numbers so there is a smallest value of c possible.
Extra info: As you can probably guess, the largest side possible is c = 21, which is one less than 22. Like above, this is only possible if c is a whole number.
Answer:15
Step-by-step explanation: i got it right
Find the rate of change from the table.
==================================================
We're asked to find the slope:
m = slope
m = (y2-y1)/(x2-x1)
m = (50-20)/(4-2)
m = 30/2
m = 15
The rate of change is 15. Each time x goes up by 1, y increases by 15.
slope = rise/run = 15/1
rise = 15, run = 1
I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.
9.
Find the slope of the line.
A. -1/4
B. 4
C. 1/4
D. -4
Answer:
9. A. -1/4
Step-by-step explanation:
Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.
If this has helped you please mark as brainliest
Answer:
A. -1/4
Step-by-step explanation:
If the mass of a metal bar which is 3.25 m long is 15 kg. Find its mass per meter
Step-by-step explanation:
If 3.25m is equal to 15kg then what about 1m?
3.25m = 15kg
1m =?
Then by cross multiplication we get 4.615 kg
Find the mean absolute deviation. Round to the nearest tenth.
Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS,and 25 cents per off-peak time SMS.if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month, what will her monthly bill come to?
Answer:
Anita's monthly bill will be $164.25.
Step-by-step explanation:
Since Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS, and 25 cents per off-peak time SMS, if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month To determine what will her monthly bill come to, the following calculation must be performed:
100 + (0.85 x 45) + (0.25 x 105) = X
100 + 38.25 + 26.25 = X
138.25 + 26.25 = X
164.25 = X
Therefore, her monthly bill will be $ 164.25.
What percentage would my grade be if I got a 50% on a project that is worth 20% of my grade and my grade is 87%/B+.
How much would my grade go down?
PLEASE HELP ME
Answer:
you got 21.5/50 on final grade
and aslo follow me for more information
pls help
pls show handwritten work
with full explanation
thank you
and this is factorise
Answer:
This may help you
look it once.
[tex]\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}[/tex]
Question 1 :
[tex] \small(a {}^{2} b {}^{2} + 1 + ab - c)(a {}^{2} {b}^{2} + 1 - ab + c)[/tex]
_____________________________
[tex]\small a⁴b⁴ + 1 + a²b² - c² + 2abc[/tex]
[tex]\small( a⁴b⁴+ 1 ) + a²b² - c² + 2abc[/tex]
[tex]\small[ (a²b²)² + 1² ] + a²b² - c² + 2abc [/tex]
[tex]\small(a²b² + 1 + 2a²b² - 2a²b²) + a²b² - c² + 2abc[/tex]
[tex]\small(a²b² + 1)² - 2a²b² + a²b² - c² + 2abc[/tex]
[tex]\small(a²b² + 1)² - a²b² - c² + 2abc[/tex]
[tex]\small(a²b² + 1)² - (a²b² + c² - 2abc)[/tex]
[tex]\small(a²b² + 1)² - (ab - c)²[/tex]
[tex]\small(a²b² + 1 + ab - c) (a²b² + 1 - ab + c)[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Dinner at olive garden cost $52.37. You Leave a 20% tip, What is the total cost
Answer:
62.84
Step-by-step explanation:
52.37 times 1.20(how you calculate tip) =62.84
Answer:
$62.84
Step-by-step explanation:
Tip is $10.47 add that with 52.37
If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip.
P + 3.89 = 19.74
Have a good weekend
Answer:
15.85
Step-by-step explanation:
P + 3.89 = 19.74
Subtract 3.89 from both sides to isolate the variable.
P = 15.85
Karl bought 3 1/2 gallons of milk that cost $2.70 per gallon.What was the total cost of the milk?
Answer:
The answer is 9.45
Step-by-step explanation:
2.7*3.5=9.45
In trapezold ABCD, point D has coordinates D(1,3). If the trapezoid is translated
2 units left and 5 units down, what are the coordinates of D'?
Answer:
D’(-1,-2)
Step-by-step explanation:
Left = x -2 = 1-2 = -1
down = y-5 = 3-5 = -2
What are the measures of 1 and 2? 37.1 1 2 17.30 121.8°
Answer:
Option 2 : m∠1 = 67.4°, m∠2 = 104.5°
Step-by-step explanation:
Lets find the measure of angle 2 first:
180° - 17.3° - (180° - 121.8°) = Angle 2
↑
Angle of the straight line = 180°
The angle should be 180 - 121.8
Angle 2 = 104.5
At this point the only answer that works is the second option, but let's still work out Angle 1
Angle 1 :
Theory of opposite angles state that the opposite angles inside a triangle = the exterior angle
in this case:
Angle 1 + 37.1 = Angle 2
Since we know angle 2 = 104.5, lets solve
Lets say angle 1 = x
x + 37.1 = 104.5
x = 104.5 - 37.1
x = 67.4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The measures of ∠ 1 and ∠ 2.
Solution:-[tex]{\boxed{\mathcal{\red{Angle\: 1 \:=\: 67.4° \:}}}}[/tex]✅
[tex]{\boxed{\mathcal{\red{Angle\: 2\:=\:104.5° \:}}}}[/tex]✅
Step-by-step explanation:-We know that,
[tex]\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
✒ ∠ x + 121.8° = 180°
✒ ∠ x = 180° - 121.8°
✒ ∠ x = 58.2°
Now,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ 2 + 17.3° + 58.2° = 180°
➪ ∠ 2 + 75.5° = 180°
➪ ∠ 2 = 180° - 75.5°
➪ ∠ 2 = 104.5°
[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:2\:is\:104.5°.}[/tex]
Again,
[tex]\sf\blue{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
➵ ∠ 2 + ∠ y = 180°
➵ 104.5° + ∠ y = 180°
➵ ∠ y = 180° - 104.5°
➵ ∠ y = 75.5°
Finally, we have
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
⇢ ∠ 1 + 75.5° + 37.1° = 180°
⇢ ∠ 1 + 112.6° = 180°
⇢ ∠ 1 = 180° - 112.6°
⇢ ∠ 1 = 67.4°
[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:1\:is\:67.4°.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
What type of transformation does the image below depict?
two triangles on a cartesian plane with an arrow in between
translation
dilation
rotation
reflection
Answer:
Rotation
Step-by-step explanation:
follow v.sauce.memes on ig
What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
Answer:
-0.5
Step-by-step explanation:
(3-2)=1
(-4-1)=-5
1÷(-5)= -0.5
Wich function has the greatest rate change.
Answer: A
Step-by-step explanation: A has the greatest rate of change because it moves 5 spaces up and one right while B moves 3 spaces and C moves 4 spaces.
Use the distance formula to find the distance to the nearest tenth, from R17, -2) to W(-2, 3).
Answer:
17.7
Step-by-step explanation:
I'm assuming you meant R(17, -2) to W(-2, 3). Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5. Think of these as the legs of a right triangle. The distance between these points is the length of the hypotenuse of this triangle: d = √(5^2 + 17^2)
or √314, which, to the nearest tenth is 17.7.
Will mark Brainlyist I need help ASAP
What is the equation, in standard form, of a circle with center (−5, 8) and radius 5?
Enter your answer by filling in the boxes.
Answer:
( x + 5 )² + ( y - 8 )² = 25
Step-by-step explanation:
Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²
Where r = radius and Center is located at ( h , k )
We are given that the center is at ( -5 , 8 )
Thus, h = -5 and k = 8
We are also given that the radius = 5
Thus, r = 5
Now we just plug all of the given values into the standard form equation
( x - (-5))² + ( y - 8 )² = 5²
*simplify*
in - ( - 5 ) the two negative sign cancel out and it turns into + 5
5² = 25
Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25
Determine the slope from the given graph below:
Answer:
y = -2x - 3
Step-by-step explanation:
a 420$ dressed is 20% off, how much is the sales price?
Answer:
$336
Step-by-step explanation:
420 x 0.2 = 84
420 - 84 = 336
Answer:
the answer is going to be $336
what is the unit rate of 2250 pencils in 18 boxes
Answer:
184
Step-by-step explanation:
i did it this on a test a while back
Answer: 125 Pencils per Box
Step-by-step explanation:
This is a fraction equal to
2250 Pencils ÷ 18 Boxes
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 18
2250 Pencils ÷ 18
18 Boxes ÷ 18
=
125 Pencils
1 Box
=
125 Pencils
Box
= 125 Pencils per Box
Select all expressions whose value is negative. A. - B. C. -15 D. (-8) ) E. (- 8) (- 10
help pls!
Answer:
A, B, D
Step-by-step explanation:
neg * pos = neg
neg * neg = pos
neg / pos = neg
neg / neg = pos
Ned and Jack are each saving money for a new smartphone. Ned initially has $65 and plans to save $5.50 per week. Jack does not have any money saved yet, but he plans to save $8.75 per week. Let x=# weeks and y=amount of money saved.
Answer:
I'm not sure exactly what you're looking but I would set up the equation like this.
y=65+5.5x for Ned's equation
y=8.75x for Jack's equation.
Step-by-step explanation:
This is in y=mx+b format, hopefully it helps!
What is 10x5721? This is for my math homework.
Answer: Seriously? It’s 57210
Step-by-step explanation:
Answer:
on the contray please help me with one of the questions idc which one
Step-by-step explanation:
answer is 57210
I suck at math and need help
Answer:
B. 3 + 5i
Step-by-step explanation:
-2i + (9 - 3i) - (6 - 10i) =
= - 2i + 9 - 3i - 6 + 10i
= 5i + 3
= 3 + 5i
A scuba diver dove 313 feet below sea level then rose 26 feet?
Answer:
I think the answer would be 287?
Step-by-step explanation:
Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?
The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².
The solutions to the equation is x = -9 + √89 or x = -9 - √89.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 6 = 2 - 18x
x² + 18x = 8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² + 18x + (18/2)² = 8 + (18/2)²
x² + 18x + 81 = 8 + 81
Part 2.
x² + 18x + 81 = 89
x² + 9x + 9x + 81 = 89
x(x + 9) + 9(x + 9) = 89
(x + 9)(x + 9) = 89
x = -9 + √89 or x = -9 - √89.
Read more on quadratic functions here: brainly.com/question/14201243
#SPJ1
PLEASE HELP DUE TODAYY
Answer:
y <= 0
Step-by-step explanation:
it's shaded when the value of y is 0 or below 0 (the vertical axis)
Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet
Answer:
I cannot tell you the answer because there isn't adequate information.
But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)
Edward invested $43,800 in an account which yields 4.8% annually and is not compounded. How much will be in the account after 2 years?
Answer:
betch Corvette Corvette hop 9n a coloor
Answer:
If the money isnt compounded i dont think he would make anything. Could you repost the question multiple choice?