[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
Learn more about the rectangle here;
https://brainly.com/question/15019502
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In ΔRST, the measure of ∠T=90°, RS = 4.9 feet, and ST = 2.7 feet. Find the measure of ∠S to the nearest tenth of a degree.
Step-by-step explanation:
step 1. a diagram is important and can be uploaded. you will get a quicker answer with a diagram
step 2. triangle RST is a right triangle so we can use trigonometry to find <S
step 3. the adjacent side of <S is ST and the hypotenuse is RS so we will use cos
step 4. cosS = adj/hyp = ST/RS = 2.7/4.9
step 5. <S = 56.6° using inverse cos.
Answer:
42.43
Step-by-step explanation:
This is because you had to divbide by 3
The arc length of this circle is 9.42 inches. Determine the length of the radius.
Complete your work in the space provided.
Answer:
Radius = 5.996958 (They probably just want “6”).
Step-by-step explanation:
9.42x4=37.68 (perimeter)
Perimeter=2[tex]\pi[/tex]r
37.68÷2[tex]\pi[/tex]=r
5.996958=r
the slope of a line is 1, and the y-intercept is -1. what is the equation of the line written in slope-intercept form?
Answer:
y=x-1
Step-by-step explanation:
How many centimeters are in 3.2 inches? [1 inch = 2.5 cm] Show your work.
Answer:
8 cm
Step-by-step explanation:
Just multiply 3.2 by 2.5
3.2 x 2.5 = 8
Answer:
Sure, your answer is 8
Step-by-step explanation:
3.2 * 2.5=8
Which of the following is equivalent to the complex number i24?
Answer: 1
Step-by-step explanation:
Rewrite as (i^4)^6
Rewrite i^4 as 1
Rewrite i^4 as (i^2) ^2
((i^2)) ^2)6
Rewrite i^2 as -1
((-1) ^2) 6
Raise -1 to the power of 2
1^6
One to any power is 1.
Please help ASAP
Find the slope of the line graphed below.
Answer:
3/4
Step-by-step explanation:
Hope this helps! :)
m= -3 b= -1 slope intercept form
Answer:
y = -3x-1
Step-by-step explanation:
all u had to do was plug it into y = mx+b
A boat travels 20 miles in 5 hours
(with a constant speed). How far can it
travel in 53 hours (with the same
speed)?
Answer:
212 miles
Step-by-step explanation:
the boat is going 4mph so in 53 hours it would be 212mi
What is the minimum value points of z=30x+40y subject of x+y<=140 x>=45 y>=32 20x+10y>=1500
9514 1404 393
Answer:
minimum z: 3050
Step-by-step explanation:
The attached graph shows the feasible region as a white space. The dashed lines at its edges are part of the solution set. The vertex closest to the origin is the one that minimizes z: (x, y) = (59, 32).
The minimum value of z is ...
30·59 +40·32 = 3050
Can y’all help me please
Letters A through F
Please:((
Answer:
can you take another photo
Step-by-step explanation:
Find the area and perimeter of the polygons formed by the algebra tiles below: area: y X perimeter: 1 area: perimeter: 2
Answer:
The answer is below
Step-by-step explanation:
a)
The area of the figure = sum of the area of the individual polygons
The area of the figure = x + 1 + y + 1 + x = 2x + y + 2
The perimeter of the figure = sum of the length of the sides = 2(1 + (x + 1 + y + 1 + x)) = 2(2x + y + 3) = 4x + 2y + 6
b)
a)
The area of the figure = sum of the area of the individual polygons
The area of the figure = y² + xy + 1 + 1 + 1 = y² + xy + 3
The perimeter of the figure = sum of the length of the sides = (y + 1) + x + y + (y + 1) + y + 1 + 1 + 1 + x + 1 = 4y + 2x + 6
The area is ___ square meters. UH HELP I need the steps if anyone can!?
Question Help About 6% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent. (a) The probability that both will be hopelessly romantic is (Round to four decimal places as needed.)
Answer:
0.0144
Step-by-step explanation:
Answer:
Step-by-step explanation:
Both
P(both) = 6/100 * 6/100 = 36/10000 = 0.0036
At Least one
Just One
94/100 * 6/100 = 564/10000 = 0.0564
Both 0.0036
Total 0.06
what is the range of h
Answer:
-4 to 6
Step-by-step explanation:
The range is the y-axis, unlike the domain which is on the x-axis. So th points would go from -4, the lowest point, to 6 the highest point. If you need to specify, say intervals of 2 as -4 goes to -2, and 2 goes to 4.
The height of a right cylinder is 6r, where r is the radius. Write a function f in simplest form that represents the ratio of the surface area to the volume.
Please help will give brainliest answer
if x squared by 3 equal 64 what is the value of x
Answer:
4
Step-by-step explanation:
x^3= 64
x= 64^1/3
x=4
Answer:
4
Step-by-step explanation:
4x4=16
16x4= 64
Find the volume for the regular pyramid. 4cu units, 6 cu units, or 12 cu units
Answer:
4 cu. units
Step-by-step explanation:
1/3x2x2x3=4 cu. units
Answer:4cu unit
Step-by-step explanation:
2*2*3=12
12* 1/3 =4
Please solve this :)
Answer:
=25+2squared
Step-by-step explanation:
simple like terms
36-11=25
-5squared+7squared=2squared
=25+2squared
Answer:
49
Step-by-step explanation:
[tex]36 - {5}^{2} + {7}^{2} - 11[/tex]
[P.E.D.M.A.S rule] (First exponents)
= 36 - 25 + 49 - 11. (Then addition)
= 36 + 49 - 25 - 11
= 85 - 36. (At last subtraction)
= 49 (Ans)
Connie’s kindergarten class has 24 children. She wants them to get into 4 equal groups. How many children will she put in each group?
Answer:
six children
Step-by-step explanation:
six children in four groups, total of 24 children
24/4=6
Answer:
6
Step-by-step explanation:
because 24÷4=6 that is the answer
The botanist would like to estimate the average weight of mustard seeds grown in a certain type of soil; weight of the seeds is known to follow a normal distribution. The botanist collects a random sample of 10 mustard seeds and finds that the sample average and sample standard deviation are 528 mg and 49 mg respectively. Select from the following the correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data.
a. (480.1, 539.9)
b. (525.2, 534.8)
c. (479.4, 540.6)
d. (473.6, 546.4)
e. The necessary assumptions have not been satisfied and the calculation cannot be performed.
f. (469.4, 550.6)
Answer:
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.833
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 528 - 28.4 = 499.6 mg
The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
MULTIPLE CHOICE PLS ANSWER THANKS
Answer:
I think answer is B
B.10x+150=180
Find the equation of the line passing through the point (8, -4) and slope -4.
A: y + 4x = 22
B: y + 4x = 28
C: y - 4x = 28
D: y + x = 36
Answer:
y+4x=36
Step-by-step explanation:
the answer isn't in the choice
WALLAHI HELP ME PLEASE WALLAHI I BEG
Answer:
x+2 y-1
Step-by-step explanation:
this would be moving 2 over on x and subtracting down one on the y and a shrink
i have $2 in my pocket what might be in my pocket (number puzzle)
Answer:
$2
Step-by-step explanation:
In a poll, 417 students voted. Nominee D received 2/3 of the votes. How many did nominee D receive?
Answer:
278 votes
Step-by-step explanation:
[tex]2/3 * 417 = 278[/tex]
Find the area of the triangle pictured above.
Answer:
24.5
Step-by-step explanation:
7^2=49
49/2=24.5
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
Y=3/4x-2 for slope plz heeeeeeeeeeeeeeeeeelp
Answer:
m = 3/4
Step-by-step explanation:
That's the correct answer for you :)
7 9 4
-2 4 -3
3 10 0
Inverse of this
Answer:
The answer is -7, -9, -4, 2, -4, 3, -3, -10, -0
Step-by-step explanation:
If you see them in the number line, the integers on the left are negative and the integers on the right is positive. Therefore, negative numbers are inverses of positive numbers. For example, 1 is the inverse of -1.