Answer:
2500
Step-by-step explanation:
The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
Marquise has 200 meters of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width x (in meters) is modeled by:
A(x)= - x² + 100x
The perimeter of the rectangle = 2( length + Width)
200 = 2( length + Width)
100 - x = L
The area of the rectangle = length × Width
= x(100 - x)
= (-x)²+ 100x
So, (-x)²+ 100x where, a = -1 and b = 100
w = -100/2(-1)
w = 50
The area of the rectangle = (-x)²+ 100x
= (-50)²+ 100(50)
= 2500
Thus, The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.
More about the rectangle link is given below.
https://brainly.com/question/10046743
#SPJ2
What is the volume of this composite solid?
Step-by-step explanation:
5×9×12=540
6×9×12÷2=324
324+540=864
Answer:
C. 1188 cubic meters
Step-by-step explanation:
"To find the volume, we must multiply the length x width x height"
The shape is too big so we must break it into another shape
Let's solve the bottom shape that looks like a rectangle!
Length: 12 m
Width: 9 m
Height: 5 m
Volume = 540 m
Now the top shape!
Length: 12 m
Width: 9 m
Height: 6 m
Volume = 648 m
Now we need to add both of the volume shapes!
648 + 540 = 1188 cubic meters
When building a house, the number of days required to build varies inversely with
with the number of workers. One house was built in 11 days by 49 workers. How
many days would it take to build a similar house with 7 workers?
Answer: 77 days
Step-by-step explanation:
What is the volume of this figure? Pls help this is due Thursday 11:45
Answer:
The answer for this question is 49 cubic inches
Aside from the vertex, the horizontal cross-sectional shapes of this pyramid
are all similar rectangles.
O A. True
B. False
Two trains leave stations 456 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 105miles per hour. How long will it take for the two trains to meet?
Answer:
let x=distance 105 mph train traveled
(456-x)=distance 85 mph train traveled
Travel time = distance/speed (equal in both directions)
x/105=(456-x)/85
85x=105*456-105x
190x=105*456
x=105*456/190=252 miles
travel time=252/105=2.4 hrs
ans:
The two trains will meet in 2.4 hrs
Step-by-step explanation:
there brainliest pls
PEASE HELP ASAP!!! The sum of two numbers is 58.
The difference of those two numbers
is 28. Find both numbers.
Answer:
y=15
x=43
(any variable can be used, I used x and y to make it easier to show)
Step-by-step explanation:
x+y=58
x-y=28
get x by its self
x=58-y
then subsitute into the other equation
(58-y)-y=28
58-2y=28
-2y=-30
y=15
sub. again
x+15=58
x=43
Zoey had 15 rocks.
she put them in 3
boxes. how many
were in each box?
Answer: 5
Step-by-step explanation:
What is 5C3?
A. 35
B. 10
C. 14
D. 28
Answer: B. 10
-5C3 or 5 choose 3 refers to how many combinations are possible from 5 items, taken 3 at a time. To calculate combinations, we will use the formula nCr = n! / r! ... * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.
-10 is the total number of all possible combinations for choosing 3 elements at a time from 5 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 5 CHOOSE 3 can also be written as 5C3 in the format of nCr or nCk.
Step-by-step explanation: Hope this help :D
Help me with number 10 pleaseeeeeeeeee
Answer:
4' - 9.64
Step-by-step explanation:
Total rise = 2' - 7"
Total run = 3' - 9"
Converting to inches :
1' = 12" ; 1 feet = 12 inches
2' = 2 * 12 = 24"
3' = 3 * 12 = 36"
Total rise = 24" + 7" = 31"
Total run = 36" + 9" = 45"
Length of stringer = hypotenus
Hypotenus = √(total rise² + total run²)
Hypotenus = √(31² + 45²)
Hypotenus = 54.644304"
= 4' - 9.64"
Find derivative of y=(-3x^5+1)^3
Use the chain rule:
[tex]\frac{\mathrm dy}{\mathrm dx}=3(-3x^5+1)^2\frac{\mathrm d[-3x^5+1]}{\mathrm dx}=3(-3x^5+1)^2(-15x^4)=\boxed{-45x^4(1-3x^5)^2}[/tex]
PLEASE HELP ME
The following data set shows the pulse rate of some goats at a farm:
75, 76, 77, 76, 77, 76, 78, 75, 78, 76, 79, 76, 78, 76, 77, 76
Which dot plot best represents the data?
dot plot with 2 dots over 75, 8 dots over 76, 3 dots over 77, 3 dots over 78, no dot over 79
dot plot with 2 dots over 75, 7 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79
dot plot with 1 dot over 75, 8 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79
dot plot with 2 dots over 75, 6 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79
Answer: B) dot plot with 2 dots over 75, 7 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79
Step-by-step explanation: took the test, hope this helps c:
How many tenths are in 8.32?
Answer:
3 tenths
Step-by-step explanation:
Given the following data, what is the probability that a car will have a V8 or a manual transmission?
A- 70.06%
B-110.71%
C-76.07%
D-60.71%
Reflect P (-5,10) over the x-axis. What are the coordinates of the reflected point? What quadrant is the reflected point in?
Answer:
(-5,-10)
it is in quadrant 3 (quadrant III)
Step-by-step explanation:
Mark as Brainliest
Answer:
(-5,-10) In Quadrant III
Step-by-step explanation:
When reflecting a point accross the x-axis, the y-coordinate of the point changes signs
Ex. Positive to Negative and vice versa
Therefore, (-5,10) reflected accross the x-axis becomes (-5,-10)
Since both x and y coordinates are negative, the point falls in the third quadrant, or Quadrant III
The length of a vegetable garden is 5 times its width. If its width is 3/4 meter, what is the area?
What is the least common multiple of 4, 6, and 12?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
12,24,36,48,60,72...
12 is the smallest common multiple so LCM of 4,6 and 12 is 12
IS A PICTURE!!!! thank you for your time
Answer:
I am not sure, but I think you would check for the side with the longest length(hypothenuse) and check if the formula of a^2+b^2=c^2(side with the longest length) satisfies it.
Find the slope of the line that passes through the
points (-4, 7) and (3,-2)
Answer:
-9/7
Step-by-step
Slope Formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We can plug in the numbers 7 and -2 for the y and -4 and 3 for x
[tex]\frac{7-(-2)}{-4-3} =\frac{9}{-7}[/tex]
pleaseee helpppp!!
Answer:
x = 148
Step-by-step explanation:
vertical angles are congruent
the angle with a measure of 148° and the angle labeled "x" are vertical angles.
Hence, x = 148
Answer:
x=148 because the opposite angles are equal
also, the rest of the smaller angles are both 32 degrees if you need them
you can check because 148+148+32+32=360
hope it helps:)
Jamie will plot (9, 5) on a coordinate plane. She knows the last step is to put a point where two lines intersect. Which two steps should she use first
Answer:
i got g
Step-by-step explanation:
Answer:
Step-by-step explanation:
G and h
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative. Round answers to 4 decimal places where possible.
Answer:
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.
This means that [tex]n = 533, \pi = \frac{351}{533} = 0.6585[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923[/tex]
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
question in picture
Answers:
cos(A) = 0.8480
tan(B) = 1.6
=============================================
Explanation:
Before we can compute cos(A), we'll need to find the hypotenuse.
Use the pythagorean theorem.
a^2 + b^2 = c^2
8^2 + 5^2 = c^2
89 = c^2
c^2 = 89
c = sqrt(89)
The hypotenuse is exactly sqrt(89) units long.
This will allow us to find the cos(A) value
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 8/sqrt(89)
cos(A) = 0.84799830400509 which is approximate
cos(A) = 0.8480 when rounding to four decimal places
-------------------------
For the tangent ratio, we won't use the hypotenuse. Instead, we use the opposite and adjacent sides like so:
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(B) = 8/5
tan(B) = 1.6
What is the range of this absolute value function?
Answer:
im pretty sure the answer is A
Suppose the function S ( t ) = 2.5 cos ( 0.017 t − 1.35 ) + 7 models the amount of snowfall for a year in Anchorage, Alaska, where t = 1 is the first day of the year. Based on the function, what is the range of snowfall for Anchorage?
Answer:
4.5 to 9.5
Step-by-step explanation:
Question:
a spinner has 8 equally sized sections, six of the selections are green.
a. What is the probability that the spinner will land on green?
1. ____ out of 8, or _/4, or ____%
b. Use words to describe the probability / It is ____ that the spinner will land on green.
Color Frequency
Blue
57
Black
84
Silver
183
Red
168
Green
64
If there were 6 times as many of each color car in the parking lot, how
many silver cars would be in the parking lot?
Which of the following situations can be represented by C = 10 + 0.44n?
Answer:
10.44
Step-by-step explanation:
what is the answer for this one?
2x + 3 = 9. x
Answer:
3/7
Step-by-step explanation:
You want to seperate the numbers from the variable.
Solve -7 2/3+(-5 1/2)+8 3/4=
Answer:
-53/12
Step-by-step explanation:
Answer:
Exact Form: -53/12
decimal form: -4.416
mixed number -4 5/12
Step-by-step explanation:
convert mixed numbers into improper fractions: -2 3/3 +(5 1/2)+ 8 3/4
convert mixed numbers into improper fractions: =11/2 =[tex]-\frac{23}{3}+\left(-\frac{11}{2}\right)+\frac{35}{4}[/tex] =
[tex]-\frac{23}{3}+\left-\frac{11}{2}\right+\frac{35}{4}[/tex][tex]=-\frac{92}{12}-\frac{66}{12}+\frac{105}{12}[/tex]
[tex]\frac{-92-66+105}{12}[/tex]
add/subtract the numbers: -92-66+105=-53
-53/12
apply the fraction rule: [tex]\frac{-a}{b} = -\frac{a}{b\\}[/tex]
[tex]=-\frac{53}{12}\\[/tex]
What equation models the volume for a rectangular prism that is 4 cm long, 4cm wide, and 0.1 m tall A. V = 42 x 10 B. V = 10 x (4 + 4) C. V = 400 x 4 D. V = (4 x 4) + 10
Answer:
It's 160
I think you have a typo in d. If you do, the answer is d) V=(4 x 4) x 10
meaning a x 10 versus a + 10 as typed.
Step-by-step explanation:
.1m=10cm
volume = 4 x 4 x 10 = 160