Answer:
81 square feet
Step-by-step explanation:
Given the function
A(W) = 18w – [tex]w^{2}[/tex]
To find the greatest possible area the farmer can enclose in a rectangular pen
with 36 feet of fencing, we take the derivative on both sides of the function:
A'(w) = 18 -2w
=> A''(w) = -2
Since A"(w) is in negative, so the critical value will yield maximum value of the function.
So, A'(w) = 0
<=> 18 -2w = 0
<=> w = 9
Substitute w= 9 into the A(W) = 18w – [tex]w^{2}[/tex] , we have the greatest possible area is:
= 18*9 - [tex]9^{2}[/tex]
= 81 square feet
Someone pls help me with this question I’ll mark as brainliest
Answer:
A.
Step-by-step explanation:
The ball height goes from 3 to 7 in 2 seconds.
7-3=4
4/2 is 2.
Therefore A. is correct.
Ronnie's Rentals
charges $25 plus $15 per hour to rent a
chain saw. David rented a chain saw for
5 hours. Write an expression to show how
you could calculate the total amount
David paid.
Answer:
15x5+25=x
Step-by-step explanation:
15 times 5 plus 25 = total amount paid
Suppose cheese costs $22 per kilogram. Ella buys a 75-gram piece of cheese and Ali buys a 250-gram piece of cheese.
How much more did Ali pay for his cheese?
$1.10
$3.85
$7.15
$11.00
The amount of more did Ali pay for his cheese is $3.85.
Calculation of more amount payment:Since Suppose cheese costs $22 per kilogram. Ella buys a 75-gram piece of cheese and Ali buys a 250-gram piece of cheese.
[tex]= (22\times 250) - (22 \times 75)\\\\[/tex]
= $5,500 - $1,650
= $3,850
So it should be like $3.85
hence, The amount of more did Ali pay for his cheese is $3.85.
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are there whole numbers that are not rational numbers.
XY and BD are parallel lines.
X is a point on AB and C is a point on BD.
XB = XC.
a) Complete this sentence.
Angle XBC = 55⁰ because
b) Work out angle BXC.
Give a reason for each angle you work out.
Answer:
Hey i got the top one its AXY and XBC ar corresponding angles
Step-by-step explanation:
help it helps you ,i will look and try to do the bottom one aswell, kan you mark me the brainlist pls.
Final answer:
Angle XBC equals 55° because of the Alternate Interior Angles Theorem applied to the parallel lines XY and BD. Angle BXC in triangle XBC is worked out to be 70° due to the Angle Sum Property of a triangle, considering triangle XBC is isosceles with XB equal to XC.
Explanation:
Angle Measurements in Parallel Lines and Triangles
When considering XY and BD as parallel lines, and points X on AB and C on BD such that XB = XC, we can analyze the angles formed using the properties of parallel lines and triangles.
a) Angle XBC = 55° because of the Alternate Interior Angles Theorem, which states that when two parallel lines are crossed by a transversal, the alternate interior angles are congruent. Since XY and BD are parallel, and AB is a transversal, angle XBC is congruent to the alternate interior angle on the opposite side, which must also measure 55°.
b) To work out angle BXC, consider triangle XBC which is isosceles given that XB = XC. Since angle XBC is 55° and triangle XBC has two equal sides (XB and XC), the base angles (XBC and XCB) are equal. So angle XCB is also 55°. The sum of all angles in a triangle is 180°, so angle BXC = 180° - (55° + 55°) which equals 70°.
The reason that angle BXC is 70° is due to the Angle Sum Property of a triangle, which is the sum of angles in a triangle is always 180°.
Laney builds a tower with wooden cubes. The bottom cubes edges are 8 centimeters long. The middle cubes edges are 2 centimeters shorter than the bottom cube. The top cubes edges are 2 centimeters shorter than the middle cube. What is the total volume of the cubes in the tower?
Laney builds a tower with wooden cubes The bottom cubes edges are 8 cm long The middle cubes edges are 2 cm shorter than the bottom cube The top cubes edges are 2 cm shorter than the middle cube what is the total volume of the cubes in the tower
A is a quadrilateral with two sets of parallel sides and 4 right
angles
Answer:
If you are asking for the type of quadrilateral, then it could be a rectangle or a square.
Factor Completely: 3x squared+ 15x - 72
Answer:
actor Completely: 3x squared+ 15x - 72
3x²+15x-72
(x+5) (5x-24)
Step-by-step explanation:
How do I find X? I have to show work as well.
Answer:
d
Step-by-step explanation:
Answer:
YOU FIND X BY CAN U MARK ME AS BRAINLIEST????
Step-by-step explanation:
MULTIP[LYING ALL OF THE SIDES AND NUMBERS THEN THAT IS YOUR ANSWER
What is the test that you can do to tell if a graph represents a function?
A. the horizontal line test
B. the vertical line test
C. the expression test
D. the litmus test
Answer:
I think it's gonna be c
Step-by-step explanation:
C The expression test
what is the vertex of the parabola
1. (-1,0)
2. (0,-3)
3. (1,-4)
4. (3,0)
What is the mean for the data set?
{39, 43, 46, 86, 22, 39, 75}
Drag and drop the correct answer into the box.
mean ASAP
10−y=2.301
please find y
Answer:
y = 7.699
Step-by-step explanation:
10−y=2.301
subtract 10 from both sides
10-10−y=2.301-10
-y =-7.699
Multiply each side by -1
y = 7.699
In a population of 1,000 students, 50 were asked by
random sampling what their plans were after graduation
from high school. Their responses are shown in the table
Using proportional reasoning, make a prediction about
how many students you would expect to have plans to
attend college
Intention after
Graduation
Number of
Students
50
1000
27
College
Job
27,000 = 50
13
Military
No plans
About
would have plans ao attewel college
Intro
Answer:540
Step-by-step explanation:
I got it right
Answer:540
Step-by-step explanation:
i got it right on edgen uity
find the area of the regular polygon
Answer:To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Step-by-step explanation:
hope this helps
plez mark as brainlyest
Alex’s printer can print 8 photos in 12 minutes.
Khalil’s printer can print 24 photos in 1 hour.
Which process could you use to help determine how much longer it will take Khalil’s printer to print 120 photos than Alex’s?
Select all that apply.
Answer:
what are your options for select all that apply
Step-by-step explanation:
Answer:
what are the options for the answer ?
Step-by-step explanation:
Te assembly started at 3:02pm. It ended at
3:58pm. How long was the assembly?
Answer:
The assembly was 56 minutes long
Step-by-step explanation:
Answer: The assembly lasted 56 minutes.
Step-by-step explanation:
If you just pay attention to the minutes (2 and 58 respectively), you can subtract the original amount from the end amount.
58-2=56
Mr.O'Connor had $90 to spend at a football game. He spent 31/45 on his ticket. Then, he spent 3/7 of his remaining money at the concession stand. While walking back to his seat, he saw a new hat on sale for $18. Did Mr. O'Connor have enough money left to buy the hat?
I am not sure what to do.
Answer:
no
Step-by-step explanation:
he starts with 90 bucks to find what the fraction represents you can multiply it by 2 to get an equal denominator of 90 then subtract 90-62 that'll give you 28 then it says he spent 3/7 so you do the same thing get an equal denominator by multiplying by 4 and get 28 and as they say whatever you do to the denominator is done to the numerator so 3 times 4 is 12 then you do 28-12 and you gets 16 which isn't enough to buy the hat. :)
Find the volume of a triangular pyramid with a base height of 5 inches, base length of 3 inches, and a height of 6 inches.
Final answer:
The volume of the triangular pyramid is calculated by finding the area of the triangular base and then using the volume formula for a pyramid, resulting in a volume of 15 cubic inches.
Explanation:
To find the volume of a triangular pyramid, we use the formula for the volume of a pyramid, which is V = (1/3) × base area × height. First, calculate the area of the triangular base using the formula for the area of a triangle, A = (base length × base height) / 2. In this case, the base length is 3 inches, and the base height is 5 inches.
Therefore, the area of the triangle is A = (3 in. × 5 in.) / 2 = 7.5 in.². Now, we can calculate the volume of the pyramid using the height of the pyramid, which is 6 inches.
The volume of the pyramid is V = (1/3) × 7.5 in.² × 6 in. When you calculate this, you get V = 15 in.³, which is the volume of the pyramid.
For approximately what period of time does the Moon stay in the sky a week after the full-moon day?
A) 12 hours after sunset
B) 12 hours after midday
C) 12 hours after midnight
D) 12 hours during sunrise
Answer:
C 12 hours after midnight
Step-by-step explanation:
I just answered this question
What is the length of each leg of the triangle below?
Answer: answer is f
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
3.4.3
Please help me answer this question
Answer:
C
Step-by-step explanation:
Your slope (m) is 1 and your y-intercept (b) is -9
y = mx + b
y = x - 9
f(x) also means y
Please make my answer the brainliest if its helpful
Sooo..... can anybody help.....
Factor completely 3x^2+33x+90=?
Answer:
3(x+5) (x+6)
Step-by-step explanation:
The factored form of 3x² + 33x + 90 is: 3(x + 6)(x + 5)
To factor completely the quadratic expression 3x² + 33x + 90, we can look for two binomial factors that multiply together to give us the original expression.
First, we can check if the expression can be factored by using the common factor 3:
3x²+ 33x + 90
We can factor out 3 from each term:
3(x^2 + 11x + 30)
Now, we need to find two binomial factors that multiply to give us x² + 11x + 30.
The factors can be determined by factoring the quadratic expression further:
x² + 11x + 30 = (x + 6)(x + 5)
Therefore, the completely factored form of 3x² + 33x + 90 is:
3(x + 6)(x + 5)
Learn more about Quadratic Equation here:
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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate
(see diagram below).
If the folded napkin spans the plate and the plate has an 18-inch diameter, what is the area of
the space on the plate that is NOT covered by the napkin? Leave your answer in terms of .
Answer:
The area of the space on the plate that is not covered by the napkin is[tex]81(\pi-1)\ in^2[/tex]
Step-by-step explanation:
step 1
Find the area of the plate
The area of a circle is given by the formula
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=18/2=9\ in[/tex] ---> the radius is half the diameter
substitute
[tex]A=\pi (9)^{2}\\A=81\pi\ in^2[/tex]
step 2
Find the area of the square napkin folded (is a half of the area of the square napkin)
we know that
The diagonal of the square is the same that the diameter of the plate
Applying Pythagorean theorem
[tex]D^2=2b^2[/tex]
where
b is the length side of the square
we have
[tex]D=18\ in[/tex]
substitute
[tex]18^2=2b^2[/tex]
solve for b^2
[tex]b^2=162\ in^2[/tex] -----> is the area of the square
Divide by 2
[tex]162/2=81\ in^2[/tex]
step 3
Find the area of the space on the plate that is NOT covered by the napkin
we know that
The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate
so
[tex]A=(81\pi-81)\ in^2[/tex]
simplify
[tex]A=81(\pi-1)\ in^2[/tex]
I WILL BE GIVING 15 points and 5 stars and thanks. Please answer quickly. A housewares company wants to add a new size of mug to its collection of available products. Its original mug design has a height of 120 millimeters and a diameter of 96 millimeters, and the new mug will have a height of 100 millimeters, as shown. If the company wants the new mug to be geometrically similar to the original mug, what should the diameter of the new mug be?
a = 81 mm
b = 80 mm
c = 76 mm
d = 72 mm
Answer:
b 80 mm i think because removed 20 mm
Answer:
c
Step-by-step explanation:
if your taking 20 mm from hight you have to take 20 from the diameter
The angle θ=π3 is in standard position and has a terminal side that coincides with the graph of a proportional relationship represented by y=kx.
a. Find the constant of proportionality, k.
b. Write an ordered pair that lies on the graph of y=kx.
Part a
theta = pi/3
sin(pi/3) = sqrt(3)/2
cos(pi/3) = 1/3
tan(angle) = opposite/adjacent = rise/run = slope
tan(pi/3) = sin(pi/3)/cos(pi/3) = (sqrt(3)/2)/(1/2) = sqrt(3)
The value of k is k = sqrt(3)This is also the slope the line y = kx because it is in the form y = mx+b with m = sqrt(3) and b = 0.
===============================================
Part b
Pick any value you want for x, and plug it in to find the paired value of y
if x = 0, then y = 0 because
y = sqrt(3)*x = sqrt(3)*0 = 0
So (0,0) is one ordered pair on the line---------
If x = 1, then y = sqrt(3), since,
y = sqrt(3)*x = sqrt(3)*1 = sqrt(3)
We can say ( 1, sqrt(3) ) is another ordered pair---------
If x = sqrt(3), then,
y = sqrt(3)*x = sqrt(3)*sqrt(3) = sqrt(3*3) = sqrt(9) = 3
Therefore, ( sqrt(3), 3 ) is another ordered pairThere are infinitely many ordered pairs on this line.Use the original price and the markup to find the retail price.
Original price: $42; Markup: 7.5%
Answer:
$45.15
Step-by-step explanation:
When you are dealing with questions with percents in them—like this one—you have to turn the percent into a decimal. To make 7.5% into a decimal, you move the decimal point 2 spaces to the left. So, 7.5% is also 0.075.
Now, we have to use this formula for these types of questions:
x + x(y)= the price with tax (or markup)
So, we can substitute the variables.
42+42(0.075)=the retail price
42(0.075)=3.15
42+3.15=45.15
So, the retail price will be $45.15
solve for x in the diagram in the pic
Answer:
x=34
Step-by-step explanation:
The angle measure of a straight line is 180 degrees.
So if you add up all of the angles to make an equation, you get 2x + 112=180.
Then solve.
2x + 112=180
-112
2x=68
x=34
Which triangle defined by the given points on the coordinate plane is similar to the triangle illustrated?
A)
(-9,-8)(-9,0)(2.-8)
b
(-9.-8)(-9. 1)(2, -8)
c
(-9.-8)(-9,0)(3.-8)
D)
(-9.-8)(-9. 1)(3. -8)