[tex] \boxed{ \tt{the \: dimensions \: are : }}\\ \boxed{ \tt{b = 9 \: meters} }\\ \boxed{ \tt{l = 20 \: meters}}[/tex]
[tex]5 {s}^{2} = (3 + s) \times (14 + s) \\ 5 {s}^{2} = {s}^{2} + 17s + 42 \\ {4s}^{2} - 17s - 42 = 0 \\ s = \frac{ - ( - 17) + \sqrt{ {( - 17)}^{2} - 4(4)(42)} }{2(4)} \\ s = \frac{17 + 31}{8} \\ s = 6 \\ hence \to \:the \: dimensions \: are : \\ b = s + 3 = 6 + 3 = 9 \: meters \\ l = s + 14 = 6 + 14 = 20 \: meters[/tex]
The new dimensions of the pool are; Width = 9 and Length = 20.
What is rectangular figure?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
It is given that the square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14.
[tex]5s^2 = (3+s)(14 +s)\\\\5s^2 =s^2+ 17s + 42\\\\4s^2 - 17s - 42 = 0\\\\[/tex]
The root of the expression;
[tex]s = \dfrac{-(-17) + \sqrt{-17^2 - 4(4)(42)} }{2(4)} \\\\s = 6[/tex]
The dimensions are;
Width = 3 + s = 9
Length = 14 + s = 20
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A board is 6 feet 11 inches long. How long is it in inches
Answer:
83 inches
Step-by-step explanation:
HELP THIS IS DUE IN 10 MINUTES!!!!!! Which ratio defines te whenr represents radius, and d represents diameter?
22
d
27
d
2пт
Ο Ο.
2r
d
Answer:
2πr/d
Step-by-step explanation:
Circumference = 2πr
Pi = circumference/diameter
=2πr/d
GIVING BRAINIEST!!! I NEED THE INEQUALITY SENTENCE FOR THIS!!!!
Answer: they can weigh 15 and 20 pounds
Step-by-step explanation:
Let z =38 (cos(pi/8)+ i sin(pi/8)) and w = 2 (cos( pi/16 ) + i sin(pi/16))
What is the product of zw?
Answer:
[tex]zw=76 * (cos(\frac{3\pi}{16}) +isin(\frac{3\pi}{16}) )[/tex]
Step-by-step explanation:
Given
[tex]z =38 (cos(\frac{\pi}{8})+ i sin(\frac{\pi}{8})[/tex] and
[tex]w = 2 (cos(\frac{\pi}{16} ) + i sin(\frac{\pi}{16})[/tex]
Required
Determine zw
Given that:
[tex]x = v_1(cos(a) + isin(a))[/tex] and [tex]y = v_2(cos(b) + isin(b))[/tex]
[tex]x * y = (v_1 * v_2)*((cos(a+b) + isin(a+b))[/tex]
So, we have:
[tex]zw=(38 * 2) * (cos(\frac{\pi}{8} + \frac{\pi}{16}) + isin(\frac{\pi}{8} + \frac{\pi}{16}))[/tex]
[tex]zw=76 * (cos(\frac{2\pi + \pi}{16})+isin(\frac{2\pi + \pi}{16}))[/tex]
[tex]zw=76 * (cos(\frac{3\pi}{16}) +isin(\frac{3\pi}{16}) )[/tex]
The value of ZW is [tex]\begin{aligned} (76) [Cos(\frac{3\pi}{16})+ \i\ Sin(\frac{3\pi}{16})]\end{aligned}[/tex].
Given to us,
[tex]\begin{aligned} Z &= 38 [cos(\frac{\pi}{8}) + i\ sin(\frac{\pi}{8}) ]\end{aligned}[/tex],
[tex]\begin{aligned}W &= 2 [cos(\frac{\pi}{16}) + i\ sin(\frac{\pi}{16}) ]\end{aligned}[/tex],
We know that,
[tex]{x = v_1 [ cos\ (a) +i\ sin\ (a)]}[/tex] and [tex]{y = v_2 [ cos(b) +i\ sin(b)]}[/tex]
So,
[tex]xy = (v_1 \times v_2) [ cos(a+b) + i\ sin(a+b)][/tex]
Therefore, we can write it as,
[tex]\begin{aligned}ZW &= [38cos(\frac{\pi}{8}) + 38\ i\ sin(\frac{\pi}{8}) ]\times [2cos(\frac{\pi}{16}) + 2\ i\ sin(\frac{\pi}{16}) ]\\&= (38 \times 2) \{Cos[\frac{\pi}{8} + \frac{\pi}{16}]\}+ \{i\ Sin[\frac{\pi}{8} + \frac{\pi}{16}]\} \end{aligned}[/tex]
[tex]\begin{aligned}&= (76) [Cos(\frac{3\pi}{16})+ \i\ Sin(\frac{3\pi}{16})]\end{aligned}[/tex]
Hence, the value of ZW is [tex]\begin{aligned} (76) [Cos(\frac{3\pi}{16})+ \i\ Sin(\frac{3\pi}{16})]\end{aligned}[/tex].
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Which graph represents the function y = arctan(x) ? Note the domain and range of all graphs is [- 2, 2] .
Answer:
D
Step-by-step explanation:
Last answer on edge2020
True or False.
The expressions 3 + y and 1/3 (6 + y) are equivalent?
Answer:
false
Step-by-step explanation:
consider y = 3
its 6 for one and 3 for the other
A system of equations is shown below.
X + 7y = 23
3x + 14y = 48
What is the value of x + y in the solution to the system?
Answer:
A
Step-by-step explanation:
The value of x + y for the given system of equations is found to be as 5.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
The given equations are as follows,
x + 7y = 23 (1)
3x + 14y = 48 (2)
Solve the equations by substituting the value of x from equation (1) into (2) as follows,
3x + 14y = 48
=> 3(23 - 7y) + 14y = 48
=> -21y + 14y = 48 - 69
=> -7y = -21
=> y = 3
Then, x = 23 - 7y = 23 - 7 × 3 = 2
Thus, the value of x + y is given as 3 + 2 = 5.
Hence, the value of the required expression is given as 5.
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I think the answer is nine but I’m not sure how to explain how I got my answer
Answer:
ur answer is right it is 9
Step-by-step explanation:
NOTE: divide the number 36 with 4 and u will get 9
GOOD JOB
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
About 25% of the students at a college are freshmen. Of those, about 50% are women. Does that mean that 75% of the students at the college are freshmen women? Explain
help me with this please!!! :)
Answer:
C. 4x-4
Step-by-step explanation:
If you divide by 4 on the left side you get...
16x/4 - 16/4
4x - 4
We are dividing by 4 because it was factored out of the expression.
In a lab experiment, 130 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 8 hours. How many bacteria
would there be after 21 hours, to the nearest whole number?
Answer:
y = 802
Step-by-step explanation:
The price of an item has been reduced by 35%. The original price was $25.
Step-by-step explanation:
what thanks for free points btw
Answer:
not sure ans sorry if its wrong but i think its 8.75
Find the area of the figure. Use 3.14 for A. N 8 m 12 m
Answer: 105m²
Formula for Area of Circle: A = π r²
so, A = 3.14 (6)² (I got 6 because radius is half the diameter)
Don't forget to divide the final area of the circle in half, because It's only a semicircle.
Formula for Triangle: A = [tex]\frac{bh}{2\\}[/tex]
so, A = [tex]\frac{6(8)}{2}[/tex] (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)
You need to multiply the final area of the triangle by 2 since there are 2 triangles.
Step-by-step explanation:
Cos Milky said it. Trust Milky. Milky smart.
Answer:
deez nù Tx. . .
Step-by-step explanation:
source:trust me bro
What is the prime factorization of 120
Area of composite figure
Answer:
Is there a question or do you need an explaination and what it is?
Step-by-step explanation:
In order to find the composite area of two or more shapes, simply find the area of each shape and add them together.
source: ck12
Solve the equation of N+5/-16=-1
Step-by-step explanation:
N + 5 = -1
-16
N = - 1 + 5
16
N = -16 + 5
16
N = -11
16
N = -0.6875 = -0.7
Find the area of each figure. Use 3.14 for pie.
Answer:
sorry
Step-by-step explanation:
i think hope this helps
Find only perimeter of shape length 574.0 cm and width 487.7cm
Answer:
What is the shape pf the figure?
Find sec x if sin x = -7/25 and cot x = -24/7.
Show work. Thanks.
Answer:
[tex]sec\ x = \frac{25}{24}[/tex]
Step-by-step explanation:
Given
[tex]sin\ x = -\frac{7}{25}[/tex]
[tex]cot\ x = -\frac{24}{7}[/tex]
Required
Determine sec x
Sec x is calculated as:
[tex]sec\ x = \frac{1}{cos\ x}[/tex]
Multiply by sin x/sin x
[tex]sec\ x = \frac{1}{cos\ x} * \frac{sin\ x}{sin\ x}[/tex]
[tex]sec\ x = \frac{1}{sin\ x} * \frac{sin\ x}{cos\ x}[/tex]
[tex]sec\ x = \frac{1}{sin\ x} * \tan\ x[/tex]
[tex]tan\ x = \frac{1}{cot\ x}[/tex]
[tex]sec\ x = \frac{1}{sin\ x} * \frac{1}{cot\ x}[/tex]
The equation becomes:
[tex]sec\ x = \frac{1}{-7/25} * \frac{1}{-24/7}[/tex]
[tex]sec\ x = \frac{-25}{7} * \frac{-7}{24}[/tex]
[tex]sec\ x = \frac{25}{24}[/tex]
The time in rio is 3 hours behind london
The time in new york is 5 hours behind london
what is the time in rio when it is 11pm in new york
173 The midpoint between x and a is m. What is x ?
If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].
Hope this helps.
i’m stuck on this question
Answer: I have a feeling the answer is “slope=5/8”
I think this is the answer because the rise is 5 and the run is 8. Let’s hope this is the answer!
What is the mean, median and mode of the data below. (List in that order: mean, median, mode) 18, 24, 20, 18, 21
Answer:
Mean: [tex]20.2[/tex], Median: [tex]20[/tex], Mode: [tex]18[/tex]
Step-by-step explanation:
The mean or average of a data set is calculating by dividing the sum of the data values by the number of the data values. In this case, the sum of the data values is [tex]18+24+20+18+21=101[/tex] and the number of data values is [tex]5[/tex], so the mean is [tex]\frac{101}{5}=20.2[/tex].
The median of a data set is the middle value when the data is ordered in ascending order, meaning least to greatest. Right now, the data is not in ascending order, but after ordering it, we get [tex]18,18,20,21,24[/tex]. Since there are [tex]5[/tex] data values in this set, the middle value, or median, will be the [tex]3[/tex]rd value, which, in this case, is [tex]20[/tex].
Finally, the mode of a data set is the most frequent value, or the value that shows up the most. In this case, [tex]18[/tex] shows up twice, unlike the other numbers, which only show up once, so we know that the mode is [tex]18[/tex]. Hope this helps!
A 6 foot wide painting should be centered on a 10 foot wide wall. How many
feet (x) should be on each side of the painting?
EX:X + 1
= 10
th
8k + 4 - 11k + 9 show work please
Answer:
8+4−11+9
8+13−11
8+13−11
−3+13
^^^
Step-by-step explanation:
can anyone help me with 5 and 7
Answer:
4) add 5x and 9x
answer: 14x - 30
7) subtract 28 from 15
answer: x - 13
Step-by-step explanation: sorry if it is wrong I try my best
he FDAL level for insect filth in chocolate is 0.6 insect fragments (larvae, eggs, body parts, and so on) per grams. Suppose that there is an average of 0.57 insect fragments per gram of chocolate bar and the distribution is following a Poisson distribution. Compute the probabilities that the number of insect fragments in a 50-gram sample of chocolate bar are:
Answer:
Step-by-step explanation:
[tex]\text{To find :} \\ \\ 1.) \ \ \text{More than 20} \\ \\ 2) \text{Less than 30 } \\ \\ 3) \ \text{Within the range of }( \mu - \sigma , \mu +\sigma)[/tex]
[tex]\ \ \ Since \ \ X \ \text{follows a poisson distribution and;} \\ \\ X\sim Poisson (0.57) per \ gram \\ \\ X \sim Poisson (28.5) \ per \ 50 \ grams \\ \\[/tex]
[tex]1) \ \ \ \text{The probability } P(X>20) = \sum \limits ^{50}_{x=21} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{ = 0.9389}[/tex]
[tex]2) P( X<30) = \sum \limits ^{29}_{x=0} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{=0.5861}[/tex]
[tex]\text{3) Since then mean}\ \mu = 28.5 \\ \\ \sigma =\sqrt{28.5} = 5.339 \\ \\ \mu - \sigma = 28.5 -5.339= 23.161 \\ \\ \mu + \sigma = 28.5 + 5.339 = 33.839[/tex]
∴
[tex]P(23.161 < X< 33.839) = \sum \limits ^{33}_{24} \dfrac{e^{-28.5}\times 28.5^x}{x! } \\ \\ = P(X\le 33) - P( X \le 23) \\ \\ = 0.82678 - 0.1750 \\ \\ \mathbf{= 0.6516}[/tex]
What is the perimeter of the figure?
5 cm
4 cm
4 cm
4 cm
5 cm
Plzz help meee! I am timed
Answer:
The Answer Is 8 five dollar bills
Step-by-step explanation:
First you Multiply 5 by 8 Then divide the answer by 5
your car is currently worth 20,000. it is expected to decrease in value by 10% each year. how much will it be by the third year?
Answer:
Your answer would be 14,000 by the third year
