Answer:
We know that in a triangle, given two sides, the third one must be smaller than the sum of the given sides, but greater than their difference:
z < x + y
z > x - y
Therefore, the length of the third side will be between the difference and the sum of the other two sides. In our case:
x + y = 13
x - y = 3
Hence, the correct answer is: B) The side needs a fence that is longer than 3ft. and shorter than 13ft.
Step-by-step explanation:
Solve: x^2+4x-15
you don’t need to show steps
Answer:
-2 ± √19
Explanation:
Quadratic formula
Hope this helps!
Which polygon has an interior angle sum of 1080°? Edge
Answer:
8
Step-by-step explanation:
(n−2) × 180°= 1080
=> n = 1080 / 180 + 2
Answer:
The first one with 8 points.
Step-by-step explanation:
It's an octagon.
A triangle has a perimeter of 51 cm. If the three sides of the triangle are n, 4n-4, and 4n-8, what is the length of each side?
Answer:
see below
Step-by-step explanation:
The three sides add to 51
n + 4n-4 + 4n-8 = 51
9n -12 = 51
9n = 63
n = 7 4n-4 = 24 4n-8 = 20
The Drama Club is selling tickets to the school play. The tickets are $6 for adults and $3 for students. The club needs to raise $1.200 to pay for the costumes and equipment. The auditorium can seat no more than 300 people.The club makes $5for every adult ticket and $2 for every student ticket it sells. Use the information below.
let x= adult tickets
let y= student tickets
then 6x+3y>1200
and x+y<300
profit function P=5x+2y
how many tickets for each type should be colf to maximize the total profit?
A 100 adult tickets and 200 students
B 300 adult and 0 students
C 0 adult and 300 students tickets
D 200 adult tickets and 0 student
Answer:
B) The profit is maximized when 300 adult tickets and 0 student tickets are sold
Step-by-step explanation:
We are given this equation for the profit made by selling tickets to the school play.
P = 5x + 2y
where x = adult tickets; y = student ticketsWe see that adult tickets are worth $5.00 each, while student tickets are worth less at $2.00 each.
It makes sense that selling more adult tickets than student tickets would result in greater profit.
Therefore, the answer choice that states B) The profit is maximized when 300 adult tickets and 0 student tickets are sold is the correct answer.
What is the difference between 711 and 114?
Answer:
597
Step-by-step explanation:
711-114=597
Hope it helps you
600kg is divided between misal and pratick so that misal gets 3/5 of the amount. How much does prayick get?
Answer:
240
Step-by-step explanation:
Misel: 600kg*3/5=360
Patrick: 600-360=240
There are four red ,four blue, and two green marbles in a bag .if one marble is chosen at random from the bag what is the probability that the marble will be green
Answer:
There is a 20% probablity that the marble will be green :)
Step-by-step explanation:
There are a total of 10 marbles in the bag. 4 red+4 blue+ 2green=10There are two green marbles out of the 10 marbles. 2/102 divided by 10 is .20 or 20% Therefore, there is a 20% probability that the marble will be green.An object travels 43 miles. Given 1 mile 5280 feet, enter the distance the object travels in feet.
Answer:
43 x 5280= 227040
Step-by-step explanation:
a plumber had 2 plastic pipes that were each 9 ft long. he used all of the 2 pipes and cut them into sections that were each 1/10 foot long. how many sections of pipe did he have in all
Answer:
180
Step-by-step explanation:
so 1 section is 0.1 feet long, that is 10 sections per foot(since 0.1*10 = 1)if you have 9 feet, imagine how many 0.1 feet can fit in ityou can fit 90 sections in 9 feet, since 9 / 0.1 = 90since you have 2 pipes, multiply 90 by 2, which is 180so you would have 180 sections
25-44 Differentiate.
28. [tex]J(v)=\left(v^{3}-2 v\right)\left(v^{-4}+v^{-2}\right)[/tex]
Make things easier by expanding J(v) first:
[tex]J(v) = (v^3-2v) \left(\dfrac1{v^4}+\dfrac1{v^2}\right) = \dfrac1v - \dfrac2{v^3} - \dfrac2v + v = v - \dfrac1v - \dfrac2{v^3}[/tex]
Now differentiate term-by-term (power rule):
[tex]J'(v) = \boxed{1 - \dfrac1{v^2} + \dfrac6{v^4}}[/tex]
In case you're supposed to use the product rule first, we have
[tex]J'(v) = (3v^2 - 2) \left(\dfrac1{v^4} + \dfrac1{v^2}\right) + (v^3-2v) \left(-\dfrac4{v^5} - \dfrac2{v^3}\right)[/tex]
Expanding and simplifying will yield the same result as before.
George and Carla are going on a road trip together, but they have a limited budget. They consider several different routes and then calculate
the cost of gas for each route. The longer the route, the greater the cost of gas. What is the independent variable?
A. the amount of money they have bugeted
B. the number of routes
C. the cost of gas
D. the length of the route
Independent: r- the length of the route
11/12-5/6 is it closer to 0/1/2
Answer:
0
Step-by-step explanation:
The answer is 1/12
Add. write your answer in simplest form.
-4 _/135 + 7 _/15
[tex] \huge\quad\qquad\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - 4 \sqrt{135} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 4 \sqrt{5 \times3 \times 3 \times 3} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \:( - 4 \times 3) \sqrt{5 \times 3} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 12 \sqrt{15 } + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 5 \sqrt{15} [/tex]
Question 1 (1 point)
1.01011011101111...
Answer:
E: since irrational is non-terminating and the ... means it goes on forever which cannot be represented by a fraction
Convert the measurement to the specified five unit round to 2 decimal Place necessary
Answer:
50.31 yards
Step-by-step explanation:
divide the length value by 914.4
46,000/914.4 = 50.31
Mark brainliest please!
How many years of math do high schools require you to complete for
graduation?
O A. 2 to 3
O B. 1 to 2
O c. 3 to 4
O D. 0 to 1
ما
I want to know answer to Negative 3 minus positive 1?
Step-by-step explanation:
-3-1 You want to factor out the negative sign.Add the numbersThe answer is four.Cory is a bird-watcher. He estimates that 30% of the birds he sees are American robins, 20% are dark-eyed juncos, and 20% are song sparrows. He designs a simulation. Let 0, 1, and 2 represent American robins Let 3 and 4 represent dark-eyed juncos. Let 5 and 6 represent song sparrows. Let 7, 8, and 9 represent other birds The table shows the simulation results. According to the simulation, what is the probability that at least one of the next five birds he sees is a song sparrow?
A.)0.35
B.)0.2
C0.65
D.)0.5
Answer: 0.65
Step-by-step explanation:
the probability is high
The probability that at least one of the next five birds sees is a song sparrow will be 0.65
ProbabilityProbability is chance that a given event will occur
How to solve this problem?The steps are as follows:
Given, 5 and 6 represent song sparrowsUsing the above representations, the numbers that represent an occurrence of seeing at least one song sparrow in the next 5 birds are:05716 16803 96568 33855 76635 88864 05943 77510 74051 97895 86481 94036 24005
The number of occurrence is 13The number of simulation is 20Therefore probability of seeing at least one song sparrow will be:P=(number of occurrence/number of simulation)
∴ P=13/20
∴ P=0.65
There is 0.65 probability that at least one of the next five birds Cory sees is a song sparrow
Learn more about probability here:
https://brainly.com/question/25870256
#SPJ2
A picture is 10 inches by 14inches. The frame measures 2 inches longer and wider than the painting. What is the area of the frame?
Answer:
52
Step-by-step explanation:
so first you do 10x14=140
next you have to do 12x16=192
then u have to do 192-140=52in squared
Not sure what to do here can someone please help
Answer:
x = 2
Step-by-step explanation:
These equations are solved easily using a graphing calculator. The attachment shows the one solution is x=2.
__
SquaringThe usual way to solve these algebraically is to isolate radicals and square the equation until the radicals go away. Then solve the resulting polynomial. Here, that results in a quadratic with two solutions. One of those is extraneous, as is often the case when this solution method is used.
[tex]\sqrt{x+2}+1=\sqrt{3x+3}\qquad\text{given}\\\\(x+2)+2\sqrt{x+2}+1=3x+3\qquad\text{square both sides}\\\\2\sqrt{x+2}=(3x+3)-(x+3)=2x\qquad\text{isolate the root term}\\\\x+2=x^2\qquad\text{divide by 2, square both sides}\\\\x^2-x-2=0\qquad\text{write in standard form}\\\\(x-2)(x+1)=0\qquad\text{factor}[/tex]
The solutions to this equation are the values of x that make the factors zero: x=2 and x=-1. When we check these in the original equation, we find that x=-1 does not work. It is an extraneous solution.
x = -1: √(-1+2) +1 = √(3(-1)+3) ⇒ 1+1 = 0 . . . . not true
x = 2: √(2+2) +1 = √(3(2) +3) ⇒ 2 +1 = 3 . . . . true . . . x = 2 is the solution
__
SubstitutionAnother way to solve this is using substitution for one of the radicals. We choose ...
[tex]u=\sqrt{x+2}\qquad\text{requires $u\ge0$}\\\\u^2-2=x\qquad\text{solve for x}\\\\u+1=\sqrt{3(u^2-2)+3}\qquad\text{substitute for x in the original equation}\\\\(u+1)^2=3u^2-3\qquad\text{square both sides, simplify a little}\\\\2u^2-2u-4=0\qquad\text{subtract $(u+1)^2$}\\\\2(u-2)(u+1)=0\qquad\text{factor}[/tex]
Solutions to this equation are ...
u = 2, u = -1 . . . . . . the above restriction on u mean u=-1 is not a solution
The value of x is ...
x = u² -2 = 2² -2
x = 2 . . . . the solution to the equation
_____
Additional comment
Using substitution may be a little more work, as you have to solve for x in terms of the substituted variable. It still requires two squarings: one to find the value of x in terms of u, and another to eliminate the remaining radical. The advantage seems to be that the extraneous solution is made more obvious by the restriction on the value of u.
The gardeners at Bailey's Market planted 48
onions in each of 12 rows. How many onions
.
were planted?
Pls help
Answer:
576
Step-by-step explanation: multiply 48 by 12 and you should get 576
What is the absolute deviation of 4 in this data set?
{6, 22, 14, 9, 11, 4}
O 2
03
O 7
O 11
Answer:
7
Step-by-step explanation:
I took the k12 quiz
Solve for an angle in right triangles. Round to the nearest hundredth
Answer:
6.53
Step-by-step explanation:
cos(theta)= adjacent/hypotenuse
cos(40)= 5/h
H= 5/cos(40)
=6.527
Rounded to the nearest hundredth will be 6.53
Question 9
Which measurement is closest to the distance between point p and point q in units?
14
13
P
12
11
10
9
R
Q
1 2 3 4 5 6 7 8 9 10 11 12 13 14
43
87654321
7
3
0
Answer
A 17 units
B) 13 units
(C) 11 units
D 2.4 units
Answer:
that means the answer is c
The percentages of students in the school who attended the talent show for the years 2008 to 2013 are shown, This year, the school has a total of 380 students, How many students do u expect to attend the talent show this year ? It's super important that u say a good explanation or u don't get the BRAINLIEST!
Answer:
357
Step-by-step explanation:
number of students that would attend this year = percentage of students that attended in 2013 x total number of students
94% x 380 = 357.2
A $10 book is 50% off. What is the cost?
Answer:
$5.00
Step-by-step explanation:
10 × 50/100
Discount = 10 x 0.5
You save = $5.00
In circle D with m \angle CDE= 60m∠CDE=60 and CD=15CD=15 units, find the length of arc CE. Round to the nearest hundredth.
Answer:
Length of arc CE = 3.14 unit (Approx.)
Step-by-step explanation:
Given:
Radius of circle = 3 units
Angle between radius = 60°
Find:
Length of arc CE
Computation:
Length of arc = [θ/360][2πr]
Length of arc CE = [60/360][2(2/7)(3)]
Length of arc CE = [60/360][2(3.14)(3)]
Length of arc CE = [1/6][6(3.14)]
Length of arc CE = 3.14 unit (Approx.)
13. The diameter of a merry-go-round at the playground is 12 feet. Elijah stands on the edge and his sister pushes him
around.
ST
a) How far does Elijah travel if he moves through an angle of 4 radians?
b) Through what angle does Elijah move if he travels a distance of 80 feet around the circumference?
Answer:
a.) 23.6
b.) 40/3
Step-by-step explanation:
The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?
Answer: 129.33 g
Step-by-step explanation:
[tex]$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)[/tex]
[tex]\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}[/tex]
[tex]$$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$$[/tex]
choose an appropriate metric unit for the mass of concrete in a section of sidewalk
kilogram
milligram
gram
meter
why dont you delete this question also brainly
Answer:
It should be a kilogram.
Gram = too small
milligram = too small
meter = distance