Answer:
43.5
Step-by-step explanation:
43.5*2=87+3=90
A public pool wants to rope off a section for children to swim. Three sides will be roped off using the lane line and the fourth will be contained by the pool edge. They have 60 ft of lane line. What is the maximum area they can enclose for children to swim safely?
Answer Choices: 60, 180, 450, 730
USE OPTIMIZATION
PLEASE HELP!
Answer:
180
Step-by-step explanation:
i had that question
A ladder is leaning against a vertical wall makes an angle of 50° with
the ground. The foot of the ladder is 5 m from the wall. Find the length of
ladder. Input the numeric answer only, rounded to the nearest tenth. *
Answer:
cos( A ) = adj/hyp
---
cos( 70 ) = 2/hyp
hyp = 2 / cos( 70 )
hyp = 5.85
---
length of ladder is 5.85 meters
---
Solve and graph linear equations:
Step-by-step explanation:
The length of ladder is 7.8 m provided ladder makes an angle 50 degree and it is 5m from wall .
For understanding , check the calculation here
Calculation :A ladder makes an angle of 50° with the ground and the foot of the ladder is 5 m from the wall. It forms a right angle triangle.
Apply trigonometric ratio to find out the length of the ladder
The diagram is attached below .
We are given with the angle and the adjacent side of the triangle .
cos(theta)= adjacent side / hypotenuse
Given angle theta is 50 degree
Adjacent side is 5m .
Let the length of the ladder is x m
[tex]cos(theta)=\frac{adjacent }{hypotenuse } \\cos(50)=\frac{5}{x} \\xcos(50)=5\\[/tex]
Divide both sides by cos(50)
[tex]x=\frac{5}{cos(50)} \\x=7.77861\\x=7.8 m[/tex]
The length of ladder is 7.8 m
Learn more information about ' Trigonometric ratio ' here
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Find the 9th term of the geometric sequence 8, 32, 128, ...
Answer:
524,288
Step-by-step explanation:
Hope this helps!
Can someone please give me the answer?
Answer:
the correct answer is C
-----------------------------------
Answer:
The III
Step-by-step explanation:
go right three times and down four times
Choose the best meaning for the word “vary”.
A. Stays the same
B. Differs, changes not the same
C. Elephant toothpaste
Answer:
The answer would be B.
Step-by-step explanation:
Varying means that the number for an answer can vary and is most commonly used in cases of having an inequality.
EX:
5 ≥ 2x+4
x = [.5~4.5}
E is directly proportional to f.it E is 24 then f is 6 what is E when f is 24
Answer:
E = 96
Step-by-step explanation:
Given the following data;
E = kf .......equation 1.
When E = 24, f = 6
First of all, we would have to find the constant k;
Substituting the values into eqn 1, we have;
24 = k6
k = 24/6
k = 4
To find the value of E, when f = 24
E = kf
Substituting into the equation, we have;
E = 4*24
E = 96
Mrs. Cleary paid $584 for 8 cases of a popular magazine. How much did she pay for each case of magazines?
Answer:
$73 for each case
Step-by-step explanation:
Total spent: $584
Numer bought: 8 cases
Divide the total amount of amount on how many cases were spent to get how much each one cost individually
584/8 = 73
Answer:
so we would have to divide Mrs. Clearly money by the number of cases she already bought
584/8 = 146
so each case cost 146
Help pls I’ve tried everything can’t seem to get it
Answer:
260 cm^2
Step-by-step explanation:
Area of parallelogram: bh, so it is 20x13 which is 260cm^2
BRAINLIEST AND 10 POINTS
When comparing the results of multiplying polynomials using the horizontal method and the vertical method, ____________.
1. the results will never be the same.
2. the vertical method will be correct only when the polynomials have no more than three terms.
3. the horizontal method will be correct when the polynomials have no more than three terms.
4. the results will be the same.
Answer:
#3 is the answer
Step-by-step explanation:
Please help and look at the others
Answer:
no
Step-by-step explanation:
pls give brainliest :)
What would the graph of
Х/4.8 < 1.25 look like?
Answer:
Step-by-step explanation:
x/4.8 < 1.25 Multiply both sides by 4.8
4.8 x / 4.8 < 1.25*4/8
x < 6
What this means is that every every number less than 6 is a solution to this inequality.
Graph 32 (shown below is a red area. The important thing to note is that the boundary at 6 is dotted which means it is not included in the solution.
What you want is more closely related to a number line and sort of looks like this
-----o-----o-----o-----o-----o-----o-----o-----o
-1 0 1 2 3 4 5 6
<===============================o
Explanation
The top line is the actual number line or the graph
o------- is the way it is made.
The second line are the number divisions of the number line
The third line shows which way the inequality goes and that it is open at 6. Open means that you can get close to 6 but you can't touch 6.
The perimeter of a rectangular backyard is 192 feet. The yard is 43 feet wide. How long is it?
Answer:
53 feet.
Step-by-step explanation:
2(Width)+2(Length)=Perimeter
--> 2(43)+2(Length)=192
--> 86+2(Length)=192
--> 2(Length)=106
Length = 53
WILL GIVE BRAINLIEST!!!! what is the inverse of the equation y=x^2
Answer:
y=2^x
Step-by-step explanation:
Find the area of the figure.
Answer:
180 sq.cm
Step-by-step explanation:
A = 10 x 10 + 16 x 5 x 1/2 x 2
A = 100 + 16 x 5
A = 100 + 80
A = 180 square cm
Hope that helps!
A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1898 seats, which was 73% of the total number of seats in the theater. How many total seats were in the theater?
Answer: 2600
Step-by-step explanation:
Using the formula p=%w(part=percent x whole), it would be 1898=.73x, then I used railroad tracks to divide .73 from both sides and got 2600=x
What's the value of (3x+12)
What is the missing polynomial -(20-4x-5x2)=20-7x2
Answer:
? – (20 – 4x – 5x2) = 20 – 7x2, so ? = 20 – 7x2 + (20 – 4x – 5x2)
? = 20 – 7x2 + (20 – 4x – 5x2)=20-7x²+20-4x-5x²=40-12x²-4x
the answer is 40-4x-12x^2
Step-by-step explanation:
Answer:
40-4x-12x^2
Step-by-step explanation:
18% of the cars in the parking lot are blue.If there are 150 cars in the parking lot,how many cars are blue
How are relations that are
functions similar those that
are not functions? How are
they different?
Answer:
so the picture attached is not a function, but it looks it exactly like a function, or y=x^2. Functions are relations are similar that they both relate something, but functions are sets of relations put together, as long as their are is only one output per one input
2. Graph the following equation: y = - 1/2 x + 4
Answer:
Step-by-step explanation:
y = (-1/2)x + 4 is the equation of a straight line with y-intercept (0, 4) and slope -1/2.
To graph this, first plot the y-intercept (0, 4).
Recall that slope m = rise / run, and notice that the slope in this particular case is -1/2 = rise / run, or rise = -1 and run = 2.
Starting with your pencil point on (0, 4), move the point 2 units to the right (run = 2), arriving at (2, 4). Next, move your pencil point 1 unit down, to (2, 3).
Draw a straight line through (0, 4) and (2, 3).
Find the area of the region enclosed by the graphs of these equations. (CALCULUS HELP)
Answer:
[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsGraphingExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Area - Integrals
U-Substitution
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
F: y = √(15 - x)
G: y = √(15 - 3x)
H: y = 0
Step 2: Find Bounds of Integration
Solve each equation for the x-value for our bounds of integration.
F
Set y = 0: 0 = √(15 - x)[Equality Property] Square both sides: 0 = 15 - x[Subtraction Property of Equality] Isolate x term: -x = -15[Division Property of Equality] Isolate x: x = 15G
Set y = 0: 0 = √(15 - 3x)[Equality Property] Square both sides: 0 = 15 - 3x[Subtraction Property of Equality] Isolate x term: -3x = -15[Division Property of Equality] Isolate x: x = 5This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.
We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).
Step 3: Find Area of Region
Integration Part 1
Rewrite Area of Region Formula [Integration Property - Subtraction]: [tex]\displaystyle A = \int\limits^b_a {f(x)} \, dx - \int\limits^d_c {g(x)} \, dx[/tex][Integral] Substitute in variables and limits [Area of Region Formula]: [tex]\displaystyle A = \int\limits^{15}_0 {\sqrt{15 - x}} \, dx - \int\limits^5_0 {\sqrt{15 - 3x}} \, dx[/tex][Area] [Integral] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle A = \int\limits^{15}_0 {(15 - x)^{\frac{1}{2}}} \, dx - \int\limits^5_0 {(15 - 3x)^{\frac{1}{2}}} \, dx[/tex]Step 4: Identify Variables
Set variables for u-substitution for both integrals.
Integral 1:
u = 15 - x
du = -dx
Integral 2:
z = 15 - 3x
dz = -3dx
Step 5: Find Area of Region
Integration Part 2
[Area] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = -\int\limits^{15}_0 {-(15 - x)^{\frac{1}{2}}} \, dx + \frac{1}{3}\int\limits^5_0 {-3(15 - 3x)^{\frac{1}{2}}} \, dx[/tex][Area] U-Substitution: [tex]\displaystyle A = -\int\limits^0_{15} {u^{\frac{1}{2}}} \, du + \frac{1}{3}\int\limits^0_{15} {z^{\frac{1}{2}}} \, dz[/tex][Area] Reverse Power Rule: [tex]\displaystyle A = -(\frac{2u^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15} + \frac{1}{3}(\frac{2z^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15}[/tex][Area] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = -(-10\sqrt{15}) + \frac{1}{3}(-10\sqrt{15})[/tex][Area] Multiply: [tex]\displaystyle A = 10\sqrt{15} + \frac{-10\sqrt{15}}{3}[/tex][Area] Add: [tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e
HELP ITS TIMEDDDDDDDDDDDDDDDDD
Answer:
100
Step-by-step explanation:
Lewis is constructing triangle RST.
In the picture, what step is he doing now with his protractor?
A. drawing a line segment from point R to point S
B. checking the angle measure of angle T
C. drawing a line from point R through point T
D. checking the length of side ST
Answer:
B. checking the angle measure of T
Step-by-step explanation:
I used process of elimination, A and C are both incorrect because to draw a line you would have the flat side of the protractor along the edge of the line and this is not shown in the image. D is incorrect because to check the length you would need the have a ruler on the flat side and use that or use a separate ruler.
Option B is correct, checking the angle measure of angle T is the step is he doing now with his protractor
What is Mensuration?Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events.
Given that Lewis is constructing triangle RST.
A triangle is a three-sided polygon that consists of three edges and three vertices.
drawing a line segment from point R to point S is not correct as we can use straight edge to draw the line.
In the same way drawing a line from point R through point T is also not correct.
checking the length of side ST can be done by straight edge.
As we observe Lewis is using a protractor which is used to measure the angle.
Hence, checking the angle measure of angle T is the step is he doing now with his protractor
To learn more on Mensuration click:
https://brainly.in/question/640489
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basically everything is in the picture PLEASE HELP me with those THREE questions ASAP
find the gcf of -10c2 and 15 cd
Answer:
5cd
Step-by-step explanation:
Joseph just bought a brand new cell phone and a warranty for the cell phone. The warranty cost 300 euros and
is worth 800 euros if his phone breaks. Joseph estimates that there is a 20% chance of his phone breaking.
Col
Joseph calculates the expected value of buying the warranty to be -140 euros.
Which of the following statements are true?
MY
Choose all answers that apply:
Pro
Pro
Joseph will certainly lose value from the warranty.
Tea
Joseph will certainly gain value from the warranty.
If Joseph was going to buy a large number of phones, and he bought the warranty on each phone,
he should expect to lose value from the warranties.
Answer:
If Joseph was going to buy a large number of phones, and he bought the warranty on each phone, he should expect to lose value from the warranties.
Step-by-step explanation:
Given - Joseph just bought a brand new cell phone and a warranty for the cell phone. The warranty cost 300 euros and is worth 800 euros if his phone breaks. Joseph estimates that there is a 20% chance of his phone breaking.
Joseph calculates the expected value of buying the warranty to be -140.
To find - Which of the following statements are true?
Joseph will certainly lose value from the warranty.
Joseph will certainly gain value from the warranty.
If Joseph was going to buy a large number of phones, and he bought the warranty on each phone, he should expect to lose value from the warranties.
Proof -
Given that , expected value = -140
⇒It means Joseph lose 140
(negative represents loss )
Now,
Given the expected values, it means we have given the probability so we can not be sure about loosing money
So,
The 1st and 2nd option is wrong because certain means sure because in the question we are not sure that Joseph phone will break or not.
Now,
The 3rd option says that if Joseph buy large amount of phone then he expect to lose value from from warranties .
This is the correct option because if we buy phones and warranty on phone then the expected value will divide on each phone.
So, the chance of impact on loss will decrease.
The correct option is - If Joseph was going to buy a large number of phones, and he bought the warranty on each phone, he should expect to lose value from the warranties.
There are 3 boxes for green chips and 5 boxes for red chips. each box has the same number of chips in it. if there are a total of 16 chips complete the tape diagram showing the number of chips in each box.
Answer:
2 in each box of courseg= green chips r= red chips
3 boxes of green chips meaning for each box there are 2 chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total
Step-by-step explanation:
Find the value for ? that makes the equation true. 8 = 40 = ?
please help!!! thank you!!!
uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...
a rally car race course covers 515.97 miles the winning car completed the course in 6.5 hours.what was the average speed of the winning car?
Answer:ere
You have to
Step-by-step explanation: