Answer:
x = 500 yd
y = 250 yd
A(max) = 125000 yd²
Step-by-step explanation:
Let´s call x the side parallel to the stream ( only one side to be fenced )
y the other side of the rectangular area
Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)
p = x + 2*y
1000 = x + 2 * y ⇒ y = (1000 - x )/ 2
And A(r) = x * y
Are as fuction of x
A(x) = x * ( 1000 - x ) / 2
A(x) = 1000*x / 2 - x² / 2
A´(x) = 500 - 2*x/2
A´(x) = 0 500 - x = 0
x = 500 yd
To find out if this value will bring function A to a maximum value we get the second derivative
C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500
The side y = ( 1000 - x ) / 2
y = 500/ 2
y = 250 yd
A(max) = 250 * 500
A(max) = 125000 yd²
Find the following value
Answer:
∠ BCA = 45°, ∠ AWD = 90°
Step-by-step explanation:
All angles are right angles by definition.
Diagonals bisect the angles , so
∠ BCA = 45°
Diagonals are perpendicular bisectors of each other, so
∠ AWD = 90°
In the figure below, what is the measurement of GH ?
Answer:
C. 4
Step-by-step explanation:
first off, we know we need the value of HJ to solve for GH. Luckily for us HJ is congruent to JK, and we have the values to solve for that using pythagorean theorum.
4^2 + JK^2 = 5^2
16 + JK^2 = 25
JK^2 = 9
JK = 3
now we can solve for GH
3^2 + GH^2 = 5^2
9 + GH^2 = 25
GH^2 = 16
GH = 4
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Answer:
do you still need help
Step-by-step explanation:
???
9c+1 = 10
What is c?
Answer:
c=1
Step-by-step explanation:
9c+1 = 10
Subtract 1 from each side
9c+1-1=10-1
9c = 9
Divide by 9
9c/9 = 9/9
c = 1
The function f(x) is graphed below. what is f(1)?
Answer:
f(1) = - 3
Step-by-step explanation:
Locate x = 1 on the x - axis, then go vertically down to (1, - 3 ) , then
f(1) = - 3
2. Liam and Sam shared a chocolate bar Liam ate 3/5
and Sam ate 4/ 10 Who ate more? How much
more?
PLEASEEEE help I will give you BRAINLEST
Answer:
y=2x+3
Step-by-step explanation:
Write an inequality for the graph below.
DO NOT PUT A LINK!
Answer:
y=1/4x+1
i think
Step-by-step explanation:
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
39
Step-by-step explanation:
sin^-1(x)= 39/62
x= 38.97
x=39
25/24 as a decimal and round it to the nearest hundredth
Answer:
1.04
Step-by-step explanation:
25/24=1.04166667
round: 1.04
Adam wants to compare the fractions and He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how Adam can rewrite the fractions.
Answer:
[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]
Step-by-step explanation:
Given
The fractions are:
[tex]\frac{3}{12},\ \frac{1}{6},\ \frac{1}{3}[/tex]
Required
How the fractions can be rewritten
The fractions can be rewritten by taking the LCM of the denominators.
The [tex]LCM[/tex] of [tex]12; 6\ and\ 3[/tex] is [tex]12[/tex]
So, we have:
[tex]\frac{3}{12},\ \frac{2*1}{12},\ \frac{4*1}{12}[/tex]
Simplify the numerators
[tex]\frac{3}{12},\ \frac{2}{12},\ \frac{4}{12}[/tex]
Now, the fractions can be ordered based on the numerators
[tex]\frac{2}{12},\ \frac{3}{12},\ \frac{4}{12}[/tex]
Return to original form
[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]
5 (3z-3) =30 it’s from delta math 8 grade
Answer:
[tex]5[/tex]
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
5 (3z-3) = 30
15 z - 15 = 30
15 z = 30+ 15
15z = 45
z= 45/ 15
z= 3
A manager at a shipping company will purchase boxes in the shape of right rectangular prisms. He wants the volume of each box to be exactly 98 cubic feet. Which figure shows a box with the dimensions, in feet (ft), that the manager will purchase?
You have 4 options... which one do you think is correct
winner gets brainlest!! along with 50 points
Answer:
the first one
Step-by-step explanation:
To find the answer we want to find the volume of each rectangular prism
Which ever prism has an exact volume of 98 is the correct answer
( note that volume of a rectangular prism = length times width times height )
For the first answer choice
4 * 3.5 * 7 = 98
We get an outcome of 98, which means that the first one could possibly be the correct answer however lets find the volume of the rest of the prisms just to be safe.
For the second one
6.25 * 7 * 2 = 87.5
87.5 ≠ 98 therefore the second choice is not correct
For the third one
3 * 6.5 * 5 = 97.5
97.5 ≠ 98 therefore the third choice is not correct
For the fourth one
7.5 * 1 * 14 = 105
105 ≠ 98 therefore the fourth choice is not correct
So we can conclude that the first answer choice is correct
Solve for x: 3(x - 2) = -9
1. 1
2. -1
3. - 7/3
4. 3/7
Answer:
2) -1
Step-by-step explanation:
Answer:
the answer is 2. -1...............
Please help. Thank you....
Janet uses 2 cups of strawberries to make 4 cups of strawberry jam. How many cups of strawberries are required to make 10 cups of strawberry jam?
Someone that can help ?!?!
Answer:
D
Step-by-step explanation:
just by my experience and the look of it, but its super easy to put these in "MathPapa Algebra Calculator", and check. I use it for everything!
Evaluate: - 5 - 3 3/4 - 1/6 + 1/6 + 3 3/4 + 10
A 15
B 10 1/4
C 5
D -5 1/12
Answer:
the answer is c
Step-by-step explanation:
True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.
Hi there!
[tex]\large\boxed{\text{False.}}[/tex]
f(x) = 2(1/5)ˣ
Recall the form of an exponential function:
f(x) = a(b)ˣ where:
a = initial value
b = rate of decay/growth
If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.
1/5 < 1, so the function is undergoing exponential decay, not growth.
Lee took 10 pictures with a camera and 2 of them were pictures of airplanes.
What percent of the pictures that Lee took were pictures of airplanes?
Answer:
20%.
Step-by-step explanation:
100/20 is 20%, but so is 10/2 because it is the same, but simplified.
This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A
B
с
DF
Frequency 5
10
15
3
2
Find the probability that a student earns a
grade of B.
p = [?]
Enter a decimal rounded to the nearest hundredth.
Answer:
0.29
Step-by-step explanation:
Total grade frequency = (5 + 10 + 15 + 3 + 2) = 35
Frequency of grade B = 10
Probability = required outcome / Total possible outcomes
Required outcome = frequency of grade B = 10
Total possible outcomes = total grade frequency = 35
P(B) = 10 / 35
P(B) = 0.2857
P(B) = 0.29
Question 38
Two cuboids are congruent. Which statement about their properties
a.Each face has the same area
b.One is larger than the other
c.They have the same volume
d.The sum of the angles is 360°
Explain why 4x+1 is equal to 2x+12
A Stats test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get exactly 2 questions correct
Answer:
0.0512
Step-by-step explanation:
Probability of making a correct guess ; p = 1 / 5 = 0.2
q = 1 - p = 1 - 0.2 = 0.8
Number of questions, n = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 3) = 5C3 * 0.2^3 * 0.8^2
P(x = 3) = 0.0512
Help me pls I’m giving brainlest plsss helpp
In a group of 120 recruits at the police academy 80 are college graduates and 25 are army veterans. If 15 of the recruits are both college graduate and army veterans as shown above, how many are neither college graduate nor army veterans?
Answer:
the number of recruits neither be college graduate and nor army veterans is 30
Step-by-step explanation:
The computation of the number of recruits neither be college graduate and nor army veterans is as follows;
= Total recruits - (college students + army veterans - both college graduates & army veterans)
= 120 recruits - (80 + 25 - 15)
= 120 recruits - 90
= 30
hence, the number of recruits neither be college graduate and nor army veterans is 30
A pie chart is being made with four sectors. Each sector will be a certain percentage of the total area. The table below shows the size of each sector as a percentage of the total area. Sector 1 = 5%
Sector 2 =30%
Sector 3 = 50%
Sector 4 = 15%
What will be the measure of the central angle of sector 4?
A. 27°
B. 54°
C. 5.4°
D. 57°
Answer:
B. 54°
Step-by-step explanation:
There are 360° in a circle and sector 4 consists of 15% of it.
We just have to multiply the 2 numbers.
15% = 0.15
0.15(360) = 54
If a car can travel 250 miles on 10 gallons of fuel , how many gallons are requiered to travel 1325 miles
Answer:
53 gallons of fuel
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
[tex]\frac{10}{250} = \frac{x}{1325}[/tex]
Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.04 once divided)
[tex]\frac{10}{250}\\\\10 \div 250\\\\= 0.04[/tex]
Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]1325 \times 0.04\\\\= 53[/tex]
Therefore, 53 is the amount of gallons of fuel needed.
please help me !! this diagram is not to scale.
Answers:
sin(A) = 7/25cos(A) = 24/25tan(A) = 7/24==============================================
Explanation:
We use these rules shown below
sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/adjacentFor reference angle A, the side opposite it is BC = 7 which is as far as possible we can go from this angle. The closest we can get is AB = 24 which is the adjacent side. The hypotenuse is always the longest side, always opposite the largest angle (90 degrees).
Each fraction in bold shown above is reduced as much as possible. For example, 7/24 cannot be reduced since 7 and 24 have no factors in common other than 1.
Find the volume of a sphere that has a radius of 6 in
Answer:
volume = 904.78 cubic inch
Step-by-step explanation:
[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]
Answer:
904,32 in³
Step-by-step explanation:
The formula for finding the volume of a sphere with given radius is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
You simply substitute r³ with 6³:
[tex]V=\frac{4}{3} \pi 6^3[/tex]
Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³