Answer:
5 feet
Step-by-step explanation:
By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.
Let x feet be the length of the third side.
We have 3+x>7, x+7>3 and 3+7>x.
Solving these, we get x > 4, x > -4 and x < 10.
The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.
Therefore the answer is 5 feet.
Match the angle in parallelogram WXYZ with a congruent one
∠XWZ
Step-by-step explanation:
Opposite angles in a parallelogram are congruent.
Therefore Angle XWZ = Angle XYZ. (D)
Answer:
D)XYZ
Step-by-step explanation:
I am pretty sure that's the answer
find the midpoint between the points in the graph.
Can someone please help
Answer: I would think that the midpoint is (2,3)
Step-by-step explanation: Because I have eyes
What are the zeros of the polynomial y = (3x − 1)(x + 2)(2x + 1)? (4 points) negative two comma negative start fraction one over two end fraction comma start fraction one over three end fraction negative two comma negative start fraction one over two end fraction comma negative start fraction one over three end fraction 3, −2, 2 two comma start fraction one over two end fraction comma negative start fraction one over three end fraction
Answer:
1/3, -2 and -1/2
Step-by-step explanation:
Given the polynomial function y = (3x − 1)(x + 2)(2x + 1)
The zeros of the function occurs at when y = 0
The expression becomes;
(3x − 1)(x + 2)(2x + 1) = 0
3x - 1 = 0
3x = 1
x = 1/3
Also
x = x+2
x = 0-2
x = -2
2x+ 1 = 0
2x = 0-1
2x = -1
x = -1/2
Hence the zeros of the polynomial are 1/3, -2 and -1/2
please help I don’t understand this if you could help me that would be great , thanks!
slope = 4
y intercept = 0
====================================================
Explanation:
Two points on this line are (8,32) and (12,48)
Apply the slope formula to get
m = (y2-y1)/(x2-x1)
m = (48-32)/(12-8)
m = 16/4
m = 4
The slope is 4.
Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b
y = mx+b
32 = 4*8+b
32 = 32+b
32-32 = 32+b-32 ... subtract 32 from both sides
0 = b
b = 0
------------------
We found that m = 4 is the slope and b = 0 is the y intercept
We go from y = mx+b to y = 4x+0, which simplifies to y = 4x
In short: the y coordinate is 4 times that of the x coordinate.
For instance, if x = 16, then
y = 4x = 4*16 = 64
Which leads to the point (16,64)
Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.
Answer:
y = 4x
Step-by-step explanation:
The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]
~~~~~~~~~~
(8, 32)
(12, 48)
(16, 64)
k = 32 ÷ 8 = 4
y = 4x
a wish tank that is full of water has sprung a leak, 12% of the water is lost every hour. what % of water is left in the tank after 20 minutes
What would the exponential growth model be for the given situation?
I NEED HELP REALLY BAD
what three ratios are equivalent to 11: 1
Answer:
33/3
55/5
77/7
When these are simplified, they are equal to 11/1
6.4n-10=4.4n+6 solve for n
Answer: n=8
Step-by-step explanation:
1. Subtract 4.4n on both sides:
2n-10=6
2. Add 10 on both sides:
2n=16
3. Divide both sides by 2:
n=8
Have a nice day :D
the lcm of 22 132 and 253 using prime factorization?
Answer:
3036
multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,
multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,
multiples of 253 are 253, 506, 759, 1012, and so on,
Its quite a time consuming process.
when all the numbers eventually meet together that is the answer.
If Judy uses 400 chocolate chips to make x cookies, write an expression that represents the number of chocolate chips in each cookie.
Answer:
y=[tex]\frac{400}{x}[/tex]
Step-by-step explanation:
Answer: 400/x (over x} = Y {amount on each cookie}
Step-by-step explanation:
Figure A has a perimeter of 24 inches. Figure B has a perimeter of 36 inches and one of its side lengths is 12 inches. Find the missing corresponding side length.
Answer:
The corresponding side length is 8 inches
Step-by-step explanation:
Similar Shapes
Two shapes are similar if all of their side lengths are in the same proportion. For example, triangle 1 has sides of 3-4-5 and another similar triangle has sides of 15-20-25. Note all their lengths are proportional with a scale factor of 5.
We are given the perimeter of figure A Pa=24 inches and the perimeter of figure B Pb=36 inches. The scale factor can be obtained as 36/24=3/2.
If one of the lengths of figure B is 12 inches, then the corresponding length for figure A is 12/(3/2) = 8 in.
The corresponding side length is 8 inches
3 rays have common vertex. All the angles, which are made by neighbor rays( I think they mean adjacent rays), can be:
a)acute
b)obtuse
c)right
d)none of it.
btw I checked answer, but I still didn't understand, so I need explanation.
Answer:
[tex]b)\ Obtuse[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that:\\There\ are\ three\ rays.\\Lets\ mark\ them\ Ray\ OP, OQ,\ and\ OR\ with\ their\ common\ Vertex\ O.\\\\Now,\\We\ know\ that\ the\ sum\ of\ all\ angles\ around\ a\ point[or\ here\ Vertex\ O]\\ should\ be\ equal\ to\ 360.\\Here,\\\\Lets\ consider\ each\ case\ sepearately.\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ acute\ then:\\\angle POR, \angle ROQ, \angle POQ<90\\If\ we\ add\ them\ together,[/tex]
[tex]\angle POR+ \angle ROQ+ \angle POQ<90+90+90<270[/tex]
[tex]But\ here\ the\ sum\ of\ the\ angles\ are\ less\ than\ 270,\ but\ the\ sum\ should\\ instead\ be\ 360.\\Hence,\ the\ angles\ formed\ by\ the\ rays\ are\ NOT\ acute.[/tex]
[tex]Similarly,\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ right\ then:\\\angle POR, \angle ROQ, \angle POQ =90\\When\ we\ add\ them\ again:\\\angle POR+ \angle ROQ+ \angle POQ=90+90+90=270\\But\ again\ the\ sum\ here\ is\ equal\ to\ 270,\ but\ instead\ the\ sum\ had\ to\\ be\ equal\ to\ 360.\\Hence,\\The\ angles\ formed\ are\ NOT\ right.[/tex]
[tex]Lets\ consider\ the\ Last\ Case,\\If\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ\ are\ obtuse,\\\angle POR, \angle ROQ, \angle POQ>90\\When\ we\ add\ them:\\\angle POR+ \angle ROQ+ \angle POQ>(90+90+90)>270\\Here,\\The\ angles\ formed\ are\ greater\ than\ 270.\ As\ 360>270,\ the\ angles\ ARE\\ obtuse.[/tex]
help please help. help help
Answer:
Step-by-step explanation:
10 students participated in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz
Solution: Number of girls = x
Number of boys = y
x + y = 10 -------------------(I)
Number of girls is 4 more than the number of boys
x - y = 4 ----------------------(I)
x = 4 + y
Substitute x = 4 +y in equation (I)
4+ y + y = 10
4 + 2y = 10
2y = 10-4
2y= 6
y = 6/2
y = 3
Plug in y = 3 in eqution (I)
x + 3 = 10
x = 10 - 3
x = 7
Number of girls = 7
Number of boys = 3
Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of .5 m/s2. What is her final velocity?
If Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s². then 12.25 m/s is the final velocity.
What is Velocity?Velocity is the distance covered by an object in unit time.
Given that,
Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s²
a=0.5 m/s²
s is distance=35-20=15
We have a formula with velocity, acceleration and distance
Now v²=2as
Here v is velocity=2
a is acceleration=5
s is the distance.=15
v²=2×5×15
The multiplication value of 2×5×15 is 150.
v²=150
Take square root on both sides
v=√150
v=12.25 m/s
Therefore final velocity is 12.25m/s.
To learn more on velocity click:
https://brainly.com/question/18084516
#SPJ2
Create your own "magic trick" that will always result in
5.
Write out the steps for the magic trick in the table. You
can add more rows as needed.
Explain why the result of your trick will always be 5.
Step 1:
Step 2:
100 points! I will mark brainliest! Only answers if you know it. Random answers WILL be reported
Answer:
2sqrt5
Step-by-step explanation:
We know that the shortest distance would be with drawing a perpendicular line through BC and A.
BC is y = -2x+1
Therefore a perpendicular line should have slope 1/2
y = 1/2x + b
-3 = 1/2*-3 + b
b = -3/2
y = -2x+1
y = 1/2x - 3/2
-2x+1 = 1/2x - 3/2
-4x+2 = x - 3
5 = 5x
x = 1
y = 1
now of course the graph shows that already, but we're just proving that again
The x-difference is 4, the y difference is 2, so 16+4 = 18, sqrt20 = 2sqrt5
Answer:
Solution given:
AB=
[tex]AB = \sqrt{( - 3 +1 {)}^{2} + ( - 3 - 3 {)}^{2} } = 6.32units[/tex]
[tex]AC= \sqrt{( - 3 - 1) ^{2} + ( - 3 + 1) {}^{2} } = 4.5[/tex]units
[tex]AD= \sqrt{( - 3 - 0) {}^{2} + ( - 3 - 1) {}^{2} } = 5units[/tex]
so shortest distance=AC=4.5units
What is f(-4) for the function f(x) =-3x-8
Answer:
f(-4) = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -3x - 8
f(-4) is x = -4
Step 2: Evaluate
Substitute in x: f(-4) = -3(-4) - 8Multiply: f(-4) = 12 - 8Subtract: f(-4) = 4Answer:
the correct answer is:
-3 × -4 -8 = 12 - 8 = 4
Find the equation of the exponential function represented by the table
below:
2
y
0
1
1
2
2
4
3
8.
9514 1404 393
Answer:
y = 2^x
Step-by-step explanation:
The x-values are sequential integers, which helps the discovery of the function. The y-values have a common ratio of 2 = 2/1 = 4/2 = 8/4. This is the base for the exponential function.
The initial value of y=1 at x=0 tells you the multiplier of the exponential factor is 1, and the exponent is x (with no additions or subtractions). Your function is ...
y = 2^x
4-3y+(-7y)+6.9=
Fast PLZ!
This question hard solve fast lots of points
Answer:
2<a<5
Step-by-step explanation:
solve for b? please help me ASAP!!
Answer:
b = [tex]\sqrt{45}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle on the left.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 6² = 9²
b² + 36 = 81 ( subtract 36 from both sides )
b² = 45 ( take the square root of both sides )
b = [tex]\sqrt{45}[/tex]
MULTIPLE QUESTIONS FOR 100 POINTS IF CORRECT YOU WILL GET BRAINLIEST!!! PLEASE HELP
1. Do Charlotte's calculations make sense? Why or why not? Make sure to address each step in your answer and use complete sentences to explain your reasoning.
2. Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows.
Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet.
She is required to purchase a piece of carpet that includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece.
The labor costs are $23 per hour, per person.
A two-person carpet crew can lay 50 square feet of carpet each hour.
The crew that will complete the job at Charlotte's house will be a four-person crew.
There is an additional $75 fee to cover the cost of equipment, materials, and supplies.
What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.
Length:
feet; Width:
feet.
3. Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows.
Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet.
She is required to purchase a piece of carpet that includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece.
The labor costs are $23 per hour, per person.
A two-person carpet crew can lay 50 square feet of carpet each hour.
The crew that will complete the job at Charlotte's house will be a four-person crew.
There is an additional $75 fee to cover the cost of equipment, materials, and supplies.
Recall that the area of a rectangle is found by multiplying the length and width of the rectangle. What is the area of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.
_____ square feet
Answer:
Yes, they do make sense because the amount of square feet is equal to the amount of money needed to make the purchase in the mathematical abbreviations.
Step-by-step explanation:
Select the correct answer.
What is the missing side length in this right triangle?
Answer:
15
Step-by-step explanation:
It's a right angle triangle so we can use the pythogorean theorem to solve for Hypotenuse
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
So if we apply this formula,
[tex] {9}^{2} + {12}^{2} = {c}^{2} [/tex]
[tex]81 + 144 = {c}^{2} [/tex]
[tex]225 = {c}^{2} [/tex]
[tex]c = \sqrt{225} [/tex]
[tex]c = 15[/tex]
Hope this helps :)
Ouglas made 122 dollars by washing cars to buy holiday presents. He decided to spend m dollars on a present for his mom and then use the remainder to buy presents for each of his 5 sisters. He will spend the same amount on each sister. Which expression represents how much he can spend on each sister?
SOMEONE PLEASE HELP!!!
What is the equation of the line represented by the data in the table
Answer: y = -1/2x - 1
If the point (3,-4) is dilated by a scale factor of 74 , what are the new coordinates?
Now take the new points and rotated them 180°. What are the new coordinates?
Answer:
(-222, 296)Step-by-step explanation:
Given point
(3, -4)Dilation by a scale factor of 74:
(x, y) → (74x, 74y)(3, -4) → (74*3, 74(-4)) = (222, -296)Rotation by 180°:
(x, y) → (-x, -y)(222, -296) → (-222, 296)Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )
Answer:
[tex]3x ^{3} - {4}^{2} - 23x + 10[/tex]
Please help ASAP!!!??
Answer:
[tex]\{-2,-1,1,2,4\}[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the range of the graph
First, we list out the coordinate of each point on the graph:
The points are:
[tex]\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}[/tex]
A function has the form: (x,y)
Where
y = range:
From the coordinate points above,
[tex]y = \{-1,-2,2,1,4\}[/tex]
Order from least to greatest"
[tex]y = \{-2,-1,1,2,4\}[/tex]
Hence, the range are: [tex]\{-2,-1,1,2,4\}[/tex]