a triangle has one side of length 12 and another of length 7 which of the following are possible lengths of the third side
Answers
Answer:
Step-by-step explanation:
The first rule is that 2 of the sides must be bigger than the third.
4 and 7 makes 11 which is not bigger than 12, so A is not an answer.
5 + 7 = 12 That does not exceed 12, so the second one is not an answer
12 12 and 7 works perfectly. It makes an isosceles triangle. Any two of the three sides added together is larger than the third side.
If you put 19 20 or 21 into what you think might make a triangle, you would be incorrect. 12 and 7 makes 19. 19 is too large because 12 and 7 will lie flat on 19. No triangle works.
So only 12 works.
In short, 5<x<19 will create a triangle. Anything outside that inequality will not.
Answer:
7 and 12
Step-by-step explanation:
using triangle inequality theorem
if triangle has side a,b, and c, then all of them will trus if fulfill this inequality
a+b > c
a+c > b
b+c > a
now take a = 7 and b = 12
so the number c which can make triangle with a and b is
7 and 12
Related Questions
Which of the following is the equation of a line in slope-intercept form for a line with slope =1/4 and y-intercept at (0,-1)?
A. y=-1/4x - 1/4
B. y= 1/4x - 1
C. y= 1/4x +1
D. y=4x - 1
Answers
Answer: b.y=1/4x-1
Step-by-step explanation:
Y=mx+b
Y=1/4x-1 because 1/4 is the slope which is what you put in m and -1 is the y-intercept which is where it starts and is what you put in b.
Answer:y=1/4x-1
Step-by-step explanation:
Solve for x. 9x=3x−3
Answers
Answer:
x=-1/2
Step-by-step explanation:
9X = 3X + -3
Reorder the terms:
9X = -3 + 3X
Solving
9X = -3 + 3X
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-3X' to each side of the equation.
9X + -3X = -3 + 3X + -3X
Combine like terms: 9X + -3X = 6X
6X = -3 + 3X + -3X
Combine like terms: 3X + -3X = 0
6X = -3 + 0
6X = -3
Divide each side by '6'.
X = -0.5
Answer:
x = -0.5Step-by-step explanation:
In an equation, the goal is the isolate the variable. We do this by undoing the operations done to result in the given equation.
Step 1: Subtract 3x
6x = -3
Step 2: Divide by 6
-0.5
Step 3: Check
9(-0.5) = 3(-0.5) - 3
-4.5 = -4.5 ✅
I'm always happy to help :)
What is the answer for this for a graph 3j>6
Answers
First divide both sides of the inequality by 3.
On the left, the 3's cancel and you're left with j
and on the right, 6 divided by 3 is 2.
So we have j >2 which is the solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on 2.
We use an open dot because j > 2 but it is not equal to 2.
Then draw an arrow to the left to
represent all numbers greater than 2.
What is the measure of arc AB? A) 60° B) 75° C) 125° D) 150°
Answers
Answer:
150
Step-by-step explanation:
The arc would be the same as the angle that is in it's center because this is a circle.
The measure of arc AB is equal to the 150 degree, as central angle is equal to the intercepted arc. Option D is the correct option.
What is the central angle of the arc?The central angle is the angle which is subtended by the arc of the circle at the center point of that circle. The formula which is used to calculate the central angle of the arc is given below.
[tex]\theta=\dfrac{s}{r}[/tex]
Here, (r) is the radius of the circle, (θ) is the central angle and (s) is the arc length.
In the given circle, suppose the center of it is O. The central angle AOB given as,
[tex]\angle AOB=150^o[/tex]
The central angle is equal to the intercepted arc of the angle. Thus,
[tex]\text {arc } AB=\angle AOB\\\text {arc } AB=150^o[/tex]
Thus, the measure of arc AB is equal to the 150 degree as central angle is equal to the intercepted arc. Option D is the correct option.
Learn more about the central angle of the arc here;
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3
gathered at
There were 632
animals
the river. A herd of
187 elephants and
266 zebras left the
river area. How
many animals were
still at the river?
Answers
Answer:
179
Step-by-step explanation:
The total number of animals in the river was 632.
A herd of 187 elephants and 266 zebras left the river area.
Adding them up, the total number of animals that left the river area is:
187 + 266 = 453
Therefore, the total number of animals left at the river area is the subtraction for the animals that left the river area from the number of animals that were there initially:
632 - 453 = 179
What is the value of the rational expression below when xis equal to 3?
17 + x/x+2
A. 4
B. 3.4
C. 10
O D. 8.5
Answers
Step by step
4.3454
Answer: A
Step-by-step explanation:
WILL MARK BRAINLIEST! 20 PTS
Answers
Answer:
8: +4
9: *3 + 5
10: *(-9)+1
11: *(-8)
Answer:
8. Y=x+4, 11. y= X (x) -8
Step-by-step explanation:
Unsure about 9 and 10
ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!
Answer b and correct c and a if wrong
Answers
Answer:
b is (4,55). c is correct I believe.
Step-by-step explanation:
You need to find where the lines cross on the graph. You see that at point (4,55)
Answer:
BBBBBBBBBB is the anwser!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
x=36
Step-by-step explanation:
3x+2x=180 (because they're supplementary angles)
5x=180
x=36
Eva can type 320 words in 4 minutes. How many words per minute can Eva type?
words per minute
Answers
Answer:
80 words per minute
Step-by-step explanation:
320/4
80 wpm
Answer:80 wpm
Step-by-step explanation:
Divide 320 by 4.
That should give you 80.
Hope i helped :)))
Determine the value of y. answers : A) 46° B) 226° C) 180° D) 134°
Answers
Answer:
a) 46
Step-by-step explanation:
The total degrees of a straight line is 180, so if the angle on the other side of y is 134, then you subtract 180-134, to know the y value
180-134=46
A polynomial function has -5+√3t as a root. Which of the following must also be a root of the function? a) -5-√3t b) -5+√3t c) 5-√3t d) 5+√3t
Answers
Answer:
a
Step-by-step explanation:
Radical roots occur as conjugate pairs
Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then
- 5 - [tex]\sqrt{3}[/tex] t is also a root → a
Find two consecutive whole numbers that 82 lies between.
Answers
Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100 respectively. (Vote me brainliest please)
I’ll fine you brainlist if you answer please answer it’s URGENT
Answers
Answer:
6, 0, 10
B
Step-by-step explanation:
Plug in the values of x into the equation to find the y coordinate. Then match the coordinates in the table to the graph.
Find the value of T when T = 2U + 4V when U = 4 and V = -5
Please help
Answers
________________________________
Hey!!!
Solution,
U=4
V=-5
Now,
T=2U+4V
=2*4+4*(-5)
=8+(-20)
=8-20
=-12
So the value of T is -12.
hope it helps
Good luck on your assignment
_____________________________
Explanation:
2x4=8
4x-5=-20
8+-20=-12
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n
Answers
Answer:
0.25n>0.15n+3
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
Since Purple taxi charges 0.25 per mile, the cost of using Purple taxi is:
0.25n
Where n is the number of miles.
ABC Taxi charges $3 for pick-up and $0.15 per mile
So, the cost for using ABC taxi is equal to the fixed fee per pick up (3) , plus the cost per mile (0.15n)
3+0.15n
To find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi, the cost of a cab ride with purple taxi must be higher (>) than the cost of a cab ride with ABC taxi.
0.25n>0.15n+3
Using Equations to Compare Linear Functions
Consider the function and its inverse:
f(x) =
) = x -2
-(x) = (x + 2)
The slope, a, of the inverse function is
and the x-intercept of the inverse function is at x =
Intro
Answers
Answer:
[tex]a=3[/tex] and the x-intercept of the inverse function is [tex]x=-2[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=\frac{x}{3}-2[/tex]
[tex]f^{-1}(x)=a(x+2)[/tex]
To find: slope, a, of the inverse function and the x-intercept of the inverse function
Solution:
Let [tex]y=f(x)=\frac{x}{3}-2[/tex]
[tex]y=\frac{x}{3} -2\\\frac{x}{3}=y+2\\x=3(y+2)\\[/tex]
So, [tex]f^{-1}(x)=3(x+2)[/tex]
On comparing [tex]f^{-1}(x)=a(x+2)[/tex] with [tex]f^{-1}(x)=3(x+2)[/tex], [tex]a=3[/tex]
To find the x-intercept of the inverse function, put [tex]f^{-1}(x)=0\Rightarrow 3(x+2)=0\Rightarrow x=-2[/tex]
The slope, a, of the inverse function is 3 , and the x-intercept of the inverse function is at x = -2 .
Which correctly describes a cross section of the cube below? Check all that apply.
A cross section parallel to the base is a square measuring 4 cm by 4 cm.
A cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm.
A cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm.
Answers
Answer:
check the first one only
Step-by-step explanation:
in a cube, no matter which side it is, there will never be a rectangle, it will all be squares
not exactly good at drawing but I drew out what the description looks like and hope you can somehow understand it better!
Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.
What is the distance around the pool? The distance around the pool is
131.4/ 162.8/ 957/ 1114 feet.
What is the area of the pool? The area is 131.4/ 162.8/ 957/ 1114 square feet.
Answers
Answer:
Distance around the pool = 162.8 feet
Area of the pool = 957 square feet
Step-by-step explanation:
Distance around the swimming pool = Perimeter of the pool
Perimeter of the pool which is a composite figure will be,
= Circumference of the semicircle + Sum of three sides of the pool
= πr + 2×(length of the pool) + width of the pool
= 3.14×(10) + 2×40 + 20
= 62.8 + 80 + 20
= 162.8 ft
Area of the pool = Area of the semicircle + Area of the rectangular pool
= [tex]\frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})[/tex]
= [tex]\frac{1}{2}(3.14)(10)^2+(40\times 20)[/tex]
= 157 + 800
= 957 square feet
Find the volume round to the nearest tenth ( show work)
Answers
Answer:
2,144.7
4 x pi x (radius x radius x radius / 3)
4 x pi = 12.5663706
8 x 8 x 8 / 3 = 170.66
12.5663706 x 170.67 =2,144.66 rounded is 2,144.7
Hope this helps
Step-by-step explanation:
Find the greatest and the smallest numbers that can be written using three ‘ones’, decimal points and/or exponents.
Answers
Answer:
Biggest = 111
Smallest = 0.1^(11) = 0.00000000001
Step-by-step explanation:
The smallest number I believe you can get is 0.1^11 this results in a number of 0.00000000001 and I believe the biggest number is 111.
Find the next three terms of the arithmetic sequence 5, 9, 13, 17, … .
Question 9 options:
a)
21, 23, 25
b)
41, 45, 49
c)
21, 41, 61
d)
21, 25, 29
Answers
The answer is D. 21, 25, 29
The arithmetic sequence has a pattern of +4. From 17 you add 4, resulting to 21 and you continue.
Hope this helps !
The next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
Given that,
The given arithmetic sequence is 5, 9, 13, 17.We need to find the next three terms.Based on the above information, we can see that
There is the addition of 4 in each next number i.e.
5 + 4 = 9
9 + 4 = 13
13 + 4 = 17
17 + 4 = 21
21 + 4 = 25
25 + 4 = 29
Therefore, the option d is correct
Hence, the other options are incorrect.
Therefore we can conclude that the next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
Learn more: brainly.com/question/14069515
I need help, what is 1/4 x 5.
Answers
Answer: it would be 1.25 since 1/4 is a fraction
1st 1/4 x 5/1
2nd 1+4 =5 keep the denominator
so the final product would be 5/4 or 1.25
Solution of expression 1/4 × 5 is 1.25
What is division?Division is an operation that represents the basic idea of repeated subtraction of the same number. It is inverse of multiplication operation.
Given expression
1/4 × 5
= 5/4
= 1.25
Hence, 1.25 is solution of given expression.
Learn more about division here:
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HELP ME PLEASEEEEEEEEE
Answers
Answer:
x=24
Step-by-step explanation:
Hope this helps
Answer:
24°
Step-by-step explanation:
Take 2 lol
Once again, AOC is a straight angle, meaning it's 180°.
All you have to do is 180° - 156° and you'll get 24°, your answer.
Mr. Hinkcley owns 83 acres of land. He divides the land into eight equals sections to sell to eight buyers. What phrase describes how much land, in acres, each buyer will receive
A) more than 9 less than 10
B) more than 10 less than 11
C) more than 11 less than 12
D) more than 12 less than 13
Answers
What is the solution to the system of linear equations?
2x + y= 5
5x+4y= 11
(3,-1)
(-5,9)
(2, -1)
(5.-7)
Answers
Answer:
(3, -1)
x is 3
y is -1
Step-by-step explanation:
Solving for x:
2x+y=5
Subtract y from both sides
2x= -y+5
Subtract 5 from both sides
2x-5= -y
Multiply both sides by 4
8x-20= -4y
5x+4y=11
Subtract 4y from both sides
5x= -4y+11
Subtract 11 from both sides
5x-11= -4y
Combine equations:
5x-11=8x-20
Subtract 5x from both sides
-11=3x-20
Add 20 to both sides
9=3x
3x=9
Divide both sides by 3
x=3
Solving for y:
2x+y=5
Subtract y from both sides
2x= -y+5
-y+5=2x
Multiply both sides by 5
-5y+25=10x
5x+4y=11
Subtract 4y from both sides
5x= -4y+11
-4y+11=5x
Multiply both sides by 2
-8y+22=10x
Combine equations:
-8y+22= -5y+25
Add 8y to both sides
22=3y+25
Divide both sides by 25
-3=3y
3y= -3
Divide both sides by 3
y= -1
If you draw a number tile from the following set of number tiles, how many possible outcomes are there? {2,4,6,8} A. 2 B. 3 C. 4 D. 5
Answers
Answer:
if you draw a single number tile there are 4 possible outcomes 2, 4, 6, or 8
Step-by-step explanation:
there are 4 number tiles 2, 4, 6, and 8 so there are 4 different possibilities 2, 4, 6, or 8
Answer:
4 possible outcomes
Step-by-step explanation:
please mark me brainliest!
Please explain how you got your answer( worth 10 points)
Answers
(Number of beds)lwh/soil cubed
*substituted*
4 x 10 x 5 x 1.5/1.5
(4x10)
40 x 5 x 1.5/1.5
(40 x 5)
200 x 1.5/1.5
(Here you can do two things continue with current bedmas, or get rid of things that cancel each other out)
*continuing*
(200 x 1.5)
300/1.5
200
Therefore
She would need 200 bags
If you canceled things out you would emidiatly have 200
Please let me know if my work is incorrect and I’ll correct is ASAP
Dominique is buying water. She needs 2 liters. A half-liter of water costs $2.46. A 250-milliliter container of water costs $1.48. What should Dominique buy so she gets 2 liters at the lowest price? Explain.
Answers
Answer:
[tex]\fbox{\begin{minipage}{15em}A half-liter of water costs 2.46$\end{minipage}}[/tex]
Step-by-step explanation:
Dominique wants to buy [tex]2[/tex] liters of water.
Case 1:
A half-liter of water costs [tex]2.46[/tex].
The [tex]2[/tex] half-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]A[/tex]) is calculated by multiply the cost of [tex]1[/tex] half-liter by [tex]2[/tex]:
[tex]A = 2.46[/tex] x [tex]2[/tex] = [tex]4.92[/tex]
=> The cost of two liters: [tex]A_{1}[/tex] = [tex]A[/tex] x [tex]2[/tex] = [tex]4.92[/tex] x [tex]2[/tex] = [tex]9.84[/tex] $
Case 2:
A quarter-liter of water costs [tex]1.48[/tex].
The 4 quarter-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]B[/tex]) is calculated by multiply the cost of [tex]1[/tex] quarter-liter by [tex]4[/tex]:
[tex]B = 1.48[/tex] x [tex]4[/tex] = [tex]5.92[/tex]
=> The cost of two liters: [tex]B_{1} = 5.92[/tex] x [tex]2[/tex] = [tex]11.84[/tex] $
Compare [tex]A_{1}[/tex] and [tex]B_{1}[/tex], the cost of second buying method is more expensive.
=> She should buy the water, in which a half-liter of water costs $[tex]2.46[/tex]
Hope this helps!
:)
The relationship between the number of pounds (lb) of peppers and the
total cost in dollars is shown in the graph. What is the unit price of
peppers?
(Brainly this isn't a quiz for me so don't at me)
Answers
Explanation:
The unit price is the price of 1 unit, in this case one pound. So we locate x = 1 on the x axis, draw a vertical line upward til we get to the diagonal line, and then draw a horizontal line until we reach the y axis. You should arrive at y = 3.
Answer:
3$/1lb
Step-by-step explanation:
thats the answerrrr