9514 1404 393
Answer:
a square 175 m on a side
Step-by-step explanation:
Let x and y represent the sides of the rectangle. Then the perimeter is ...
P = 2(x + y) = 700
x + y = 350 . . . . . . . divide by 2
y = 350 -x . . . . . . . . subtract x
The area of the fenced field is ...
A = xy
A = x(350 -x)
This is a quadratic function that has zeros at x = 0 and x = 350. The axis of symmetry is x = (0 +350)/2 = 175. The vertex (maximum area) is on the axis of symmetry, so corresponds to x = 175. The y-value there is ...
y = 350 -x = 350 -175 = 175
That is, the maximum area will be obtained when the fenced area is a square. Each side of the square is 175 m, which is 1/4 of the total length of the fence.
The dimensions of the space are 175 m by 175 m.
MARKING BRAINLIEST ..Please
Answer:
B
Step-by-step explanation:
Have a good day :)
Answer: I think D.
Step-by-step explanation:
Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the ground.
Answer:
2.74feet
Step-by-step explanation:
Since we are not told what to find, we can find the height of the plywood
Given the following
length of ramp = 8feet
angle of elevation = 20degrees
Required
Height of the plywood
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 20 = H/8
H = 8sin20
H = 8(0.3420)
H = 2.74 feet
Hence the height of the plywood is 2.74feet
9 Sam earns $54 275 in a year.
He pays no income tax on the first $8200.
He pays 18% income tax on everything he earns over $8200.
a Work out how much income tax he pays.
b Work out what percentage of his income he pays in tax.
c If the income tax rate is increased to 21%, how much more tax will Sam pay?
Answer:
See all three answers below
Step-by-step explanation:
Given data
Amount Earned= $54275
Income Tax= 18%
a Work out how much income tax he pays.
Amount of income tax
=18/100*54275
=0.18*54275
=$9769.5
b Work out what percentage of his income he pays in tax.
=9769.5/54275*100
=0.18*100
=18%
c. If the income tax rate is increased to 21%, how much more tax will Sam pay?
=21/100*54275
=0.21*54275
=$11397.75
-33 points!-
A card is drawn one at a time from a
well-shuffled deck of 52 cards. In 11
repetitions of this experiment, 1 king
is drawn. If E is the event in which a
king is drawn in the 11 trials, find the
experimental probability P(E).
P(E) = 1/?
====================================================
Explanation:
The experimental probability is a fraction of the form A/B
A = number of times a king shows up
B = number of trials conducted
In this case, A = 1 and B = 11.
-------------
Side notes:
1/11 = 0.0909 = 9.09% approximately
Contrast this with the theoretical probability of drawing a king, which is 4/52 = 0.0769 = 7.69% approximately
At cracker barrel there are 15 side items to choose from. You order a variety plate that consists of 5
sides. In how many different ways can you choose your plate?
Answer:
3003
Step-by-step explanation:
It is going to be 15C5
Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left parenthesis, 4, comma, 7, right parenthesis.
Answer: [tex]y=8x-25[/tex]
Step-by-step explanation:
Given
Line passes through [tex](3,-1)\ \text{ and}\ (4,7)[/tex]
Equation of line when it passes through two points [tex](x_1,y_1),(x_2,y_2)[/tex]
[tex]\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}[/tex]
Insert the values
[tex]\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25[/tex]
Answer:
8x-25
Step-by-step explanation:
:O thats ez
Which choice is equivalent to the quotient shown here when x2 0?
Answer:
Option A.
Step-by-step explanation:
√18x÷√32
√18x/√32
√18x/32
√9x/16
9 and 16 are perfect squares
=3√x/4.
Option A
help plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
I think I just posted that last time. Check my timeline
What is the answer and how do you get it?
Answer:
it would D, when you simplify both expressions, they get the same result which is 1024y^6
A school eacher took some student to the amusement park. 1/2 of them has 3 rides on the merry-go-round. 3/5 of the remainder had two rides and the rest of the children had one ride. If 8 students had one ride. How many students did she take to the amusement park?
Answer:
40 students
Step-by-step explanation:
Total students in the amusement park = x
Students who had 3 rides = 1/2x
Remainder = x - 1/2x
= 1/2x
Students who had two rides = 3/5 of 1/2x
= 3/5 * 1/2x
= 3/10x
Students who had one ride = 8 students
x = 1/2x + 3/10x + 8
x = (5x+3x) / 10 + 8
x = 8/10x + 8
x = 4/5x + 8
x - 4/5x = 8
(5x-4x) / 5 = 8
1/5x = 8
x = 8 ÷ 1/5
x = 8 × 5/1
x = 40 students
Total students in the amusement park = x = 40 students
First correct response gets brainliest
Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
Solve this triangle
B=?
Answer:
i hope 67° is the answer .
An adult ticket costs £4.
A child ticket costs £3.
Hina spends £47 on cinema tickets.
She buys 8 adults tickets.
Work out how many child tickets she buys.
Tatum walks her dog 2/3 of a mile every day after school how many miles does she walk her dog in 5 days
Answer:
i think it is 3 miles but dunno
Step-by-step explanation:
What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?
Answer:
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Step-by-step explanation:
Use the point-slope form: [tex]y - y_{1} = m(x - x_{1})[/tex]
[tex](x_{1}, y_{1})[/tex] = (-4, 2)
y - 2 = -5/4(x + 4) Multiply by 4 to remove the fraction
4y - 8 = -5(x + 4)
4y - 8 = -5x - 20
4y = -5x - 12
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
What is the range of the function f(x)=2x+4f(x)=2x+4 when the domain is {-2, 0, 3}?
A. {0, 4, 10}
B. {4.25, 5, 12}
C. {4.25, 4, 12}
D. All real numbers
The price of an item yesterday was $130. Today, the price rose to $351. Find the percentage increase.
please help and I will mark you braniest!
Answer: The percentage increase is 170%
Step-by-step explanation:
Increase= $351 - $130
Increase= 221
Percent increase = 221/ 130
Percent increase= 170%
I'm not sure if I'm right, but I hope that this helped:)
Answer:
170%
Step-by-step explanation:
130 = 100%
65 = 50%
13 = 10%
351 - 130 = 221 (doesnt count)
221 - 130 = 91
91 - 65 = 26
26 - (13 + 13) = 0
100 + 50 + 20 = 170%
I need help on this equation
Select ALL the expressions that are equivalent to -4(8x-3)
A) -20X
B) 4(3-8x)
C) -32x-12
D) 2(-16x+6)
E) 5-9(8x-3)
Answer:
dddddStep-by-step explanation:
Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?
Use the graph to write a linear function that relates Y toX
3. Mrs Naidoo wants to buy a new kitchen cabinet on which she can place her new
microwave. Mrs Naidoo notices one advertised for R3 999,00. She decides to
save until she has enough cash to pay for the kitchen cabinet. She uses her
December bonus of R2 900,00 to deposit into her savings account where she
is offered 3,5% p.a. compound interest.
Determine if Mrs Naidoo will be able to afford the kitchen cabinet a year later if she
adds R960,00 to the saved amount.
please help
Answer:
thats about like ummm 69?
Step-by-step explanation:
Help Me And If ITs Right Ill Give Brainliest to you
Answer: I thınk so aswer ıs B
Step-by-step explanation:
Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.
The product of -3 and -7 is positive.
True False
Answer:
True ☑
Step-by-step explanation:
[tex] - 3 \times - 7 \\ = {}^{ + } 21[/tex]
Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53
Given:
The data set is:
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
To find:
The median of the given data set.
Solution:
We have,
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
Arrange the data values in ascending order.
40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Here, the number of observations is 10 which is an even number. So, the median is:
[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]
Putting n=10, we get
[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]
[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]
From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.
[tex]Median=\dfrac{50+53}{2}[/tex]
[tex]Median=\dfrac{103}{2}[/tex]
[tex]Median=51.5[/tex]
Therefore, the median of the given data set is 51.5.
Wait what about this one
Answer:
I believe it is 7/20
Step-by-step explanation:
PLS HELP ASAP...A triangle has side lengths of (10m-5) centimeters, (6m-2) centimeters, and (8n+4) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
1. 12n+16m−7
2. 16m+8n−3
3. 12n+5m+4
4. 12n+9m
Answer:
perimeter = 10m - 5 + 6m - 2 + 8n + 4
= 16m -7 + 8n + 4
16m + 8n -3
option 2
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The sum of all the sides of the triangle will be known as the perimeter of the triangle.
A triangle has side lengths of (10m - 5) centimeters, (6m - 2) centimeters, and (8n + 4) centimeters.
The expression represents the perimeter of the triangle will be
P = (10m - 5) + (8n + 4) + (6m - 2)
P = 16m + 8n - 3
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
For any number, y
Add one third of the number
Then subtract _____________ of the result.
The answer is y
Answer:
y/3
Step-by-step explanation:
According to the conditions :
y + y/3 - x = y
y + y/3 - y = x
(3y + y - 3y )/3 = x
y/3 = x
Answer:
[tex]\frac{3}{12}[/tex]
Step-by-step explanation:
Create an equation and solve for x:
[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]
Match the cube roots and square roots with their values.
V4
327
64
364
49
31,000
2
10
3
4
8
7