Answers
Answer:
Length of sandbox (3w + 1) = 9.1 m
Width of sandbox = 2.7 m
Step-by-step explanation:
[tex]w(3w + 1) = {5}^{2} \\ \\ 3 {w}^{2} + w = 25 \\ \\ 3 {w}^{2} + w - 25 = 0 \\ \\ equating \: it \: with \\ \\ a {x}^{2} + bx + c = 0 \\ \\ a = 3 \\ b = 1 \\ c = - 25 \\ \\ {b}^{2} - 4ac \\ = {1}^{2} - 4 \times 3( - 25) \\ \\ = 1 + 300 \\ \\ = 301 \\ \\ w = \frac{ - 1 \pm \sqrt{301} }{2 \times 3} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ considering \: only \: + ve \: sign \\ \\ w = \frac{ - 1 + 17.3493516 }{6} \\ \\ w = \frac{16.3493516 }{6} \\ \\ w = 2.72489193 \\ \\ w = 2.7 \: m[/tex]
3w + 1 = 3*2.7 + 1 = 8.1 + 1 = 9.1 m
Related Questions
not sure how to do this can you help me ?
Answers
Here , we are going to use Trigonometric ratios.
In given right angled ∆ ;
[tex]{:\implies \quad \sf \dfrac{x}{18}=\sin (60^{\circ}) \quad \bigg\{ \because \sin (\theta)=\dfrac{P}{H}\bigg\}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{18\sqrt{3}}{2} \quad \bigg\{\because \sin (60^{\circ})=\dfrac{\sqrt{3}}{2}\bigg\}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad x=9\sqrt{3} \: units}[/tex]
Also;
[tex]{:\implies \quad \sf \dfrac{y}{18}=\cos (60^{\circ}) \quad \bigg\{ \because \cos (\theta)=\dfrac{B}{H}\bigg\}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{18}{2} \quad \bigg\{\because \cos (60^{\circ})=\dfrac{1}{2}\bigg\}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad y=9 \: units}[/tex]
Hence , The required values for x and y are 9√3 and 9 units
Rewrite in factored form. g(x)=2x^2+10x+12
Answers
Answer:
. g(x)=2x^2+10x+12=2x²+6x+4x+12=2x(x+3)+4(x+3)
=(x+3)(2x+4)=2(x+2)(x+3)
Answer:
2(x + 3)(x + 2)
Step-by-step explanation:
All three terms of g(x)=2x^2+10x+12 have the factor 2, so
g(x)=2x^2+10x+12 = 2(x^2 + 5x + 6).
This can be factored further, into:
2(x + 3)(x + 2)
PLS HELP
What is the area, in square of the parallelogram below?
Answers
Answer:
35 square units
Step-by-step explanation:
Area of the parallelogram = 7*5 = 35 square units
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ill mark as the brainliest
Answers
How many liters of water vapor can be made from 34.0 grams of oxygen gas and excess amount of hydrogen gas at STP?
Answers
Write an algebraic expression for the word expression.
32 divided by b
Answers
Answer:
32/b
Step-by-step explanation:
b will be divided out of 32
Find the shaded area of each figure, round your answer to one decimal place if necessary
Answers
Step-by-step explanation:
radius of circle = 5 yd ------ ( given )
height of triangle = 16 yd --- ( given )
base of triangle = 16 yd ----- ( given )
area of triangle = 1/2 × base × height
= 1/2 × 16 × 16
= 128 yd²
area of circle = π × radius²
= 3.14 × 5 × 5 --- ( π = 3.14 )
= 78.5 yd²
---------------------------------------area of shaded portion = area of triangle - area of circle
area of shaded portion= 128 yd²-78.5 yd²
area of shaded portion = 49.5 yd²
--------------------------------------PLEASE FOLLOW MEHow is the length of the image of a line segment under a dilation related to
the length of its pre-image?
Answers
Answer:
It is dilated by the scale factor
Step-by-step explanation:
For example is one line is 2 units long and the image of that line was 4 units long the scale factor would be 2. (2 x 2 = 4.) If it was the other way around with the 4 as the original line and the 2 as the image line the scale factor would be 1/2. (1/2 x 4 = 2)
Answer:
260 units
explanation:
A dilation with a scale factor is noting but an increase in size of geometrical figure by a certain value.in the circumstances the line AB is 5 units. being a line AB has no width, so it only increases in length. if you want new length, it's simple.all that's nessary multiply the orgin length by the scale factor.
5.52=260
the solution is 260 units.
how can i tolk to ather pepol
Answers
Answer: Just pretend to fall or ask a quenstion then you chould start talking to some one
Step-by-step explanation:
please help like rn
Answers
B 70
C 110
D 110
E 70
in the graph below what is the unit rate ken paid to rent a go kart create a table to help finding the unit rate
Answers
The graph is missing, so i have attached it.
Answer:
$0.40 per minute
Step-by-step explanation:
From the attached graph, we can see that it is a linear graph.
Thus, to find the unit rate paid by Ken, we will calculate the slope by picking two coordinate points with thick dots on the blue and calculating it.
Point 1 = (15, 6)
Point 2 = (35, 14)
Slope = (y2 - y1)/(x2 - x1)
Slope = (14 - 6)/(35 - 15)
Slope = 8/20
Slope = $0.40 per minute
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A circular garden has a diameter of 10 yards. What is the area of the garden?
Use 3.14 for T.
A. 78.5 yd2
B. 31.4 yd2
C. 314 yd2
D. 39.25 yd2
SUBMIT
Answers
Answer:
A
Step-by-step explanation:
Answer: a
Step-by-step explanation:
1.
Write the slope-intercept form of the equation for the line.
A. y = [tex]\frac{1}{2}[/tex]x - 1
B. y = – 2x – 1
C. y = 2x – 1
D. y = [tex]\frac{1}{2}[/tex]x + 1
Answers
Answer: Here is the answers after I graphed it
1: The equation of the line that has a slope of 1 and a y-intercept of -1 is:
y=1x-1.
...............................................................................................................................................
2: The equation of the line that has a slope of 1 and a y-intercept of -3 is:
y=1x-3.
Step-by-step explanation: I graphed it
1: You want to find the equation for a line that has a slope of 1 and a y-intercept of -1.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
All you really have to do here is
replace m with 1, which is the slope you gave, and
replace b with -1, the y-intercept you gave,
in the equation y=mx+b.
The equation of the line that has a slope of 1 and a y-intercept of -1 is:
y=1x-1.
...............................................................................................................................................
2: You want to find the equation for a line that has a slope of 1 and a y-intercept of -3.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
All you really have to do here is
replace m with 1, which is the slope you gave, and
replace b with -3, the y-intercept you gave,
in the equation y=mx+b.
The equation of the line that has a slope of 1 and a y-intercept of -3 is:
y=1x-3.
What is the equation of the line (0, 0) (3, -9)
Answers
Answer:
y= -3x
Step-by-step explanation:
Find the slope
-9-0/3-0 = -9/3
Simplify = -3
Plug into point-slope formula
y-y1=m(x-x1)
y-0=-3(x-0)
y= -3x
please help i dont understand
Answers
Given:
Number of spheres = 2
Number of prisms = 3
Number of pyramids = 5
To find:
The probability that a pyramid will be selected.
Solution:
We have,
Favorable outcomes = Number of pyramids
= 5
Total outcomes = Total number of figures
= [tex]2+3+5[/tex]
= [tex]10[/tex]
Now, the required probability is:
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{5}{10}[/tex]
[tex]\text{Probability}=0.5[/tex]
Therefore, the probability that a pyramid will be selected is 0.5.
There are 42 students in a class.
Each student walks to school or cycles to school or gets the bus to school.
There are 23 girls in the class.
10 of the girls walk to school.
6 of the boys cycle to school.
7 of the 11 students who get the bus to school are boys.
Find the number of these students who walk to school.
Your final line must say, Number who walk to school = ...
Answers
Answer:
15 students walk to school
Step-by-step explanation:
42 - total students
42 - 23 = 19
----
23 girl students
19 male students
----
19 - 6 = 13
13 - 2 = 11
--
11 - 7 = 3
3 + 2 = 5
--
10 girls walk to school
5 boys walk to school
--
10 + 5 = 15
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Answers
HELP PLZ FAST!!!!!! 100 POINTS PLZ HELP!!!!!!
An equivalent ratio to the tape diagram shown is __ to __.
Chose A: 8, 9, 7
Chose B: 20, 16, 17
Answers
Answer:
A. 8B. 16Step-by-step explanation:
The ratio as per diagram:
2 to 4Equivalent ratio from the options is:
8 to 16There are no matches for 9, 7, 20, 17
Answer:
Equivlent ratio is 8:16
Step-by-step explanation:
8:16 can be further simplified into 2:4 but 8:16 is correct choice.
In ΔMNO, the measure of ∠O=90°, the measure of ∠N=48°, and NO = 73 feet. Find the length of MN to the nearest tenth of a foot.
Answers
Answer:109.1 feet
Step-by-step explanation:
What function uses the ADJACENT and the HYPOTENUSE?
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\cos N = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{73}{x}
cosN=
hypotenuse
adjacent
=
x
73
\cos 48=\frac{73}{x}
cos48=
x
73
x\cos 48=73
xcos48=73
Cross multiply.
\frac{x\cos 48}{\cos 48}=\frac{73}{\cos 48}
cos48
xcos48
=
cos48
73
Divide each side by cos 48.
x=\frac{73}{\cos 48}=109.0968\approx 109.1\text{ feet}
x=
cos48
73
=109.0968≈109.1 feet
Type into calculator and roundto the nearest tenth of a foot.
f(x)=3(1.8) x growth rate
Answers
Answer:
f(x) will grow by 1.8 times for every x increment
Step-by-step explanation:
Answer:
f(x) grows 1.8 times for every x increment
Step-by-step explanation:
please i need to finish this today
Answers
Answer:
Step-by-step explanation:
Total members = 300
Under 18 18 and above Total
Male 180 - 159 =21 159 180
Female 36 120 - 36 = 84 300 - 180 = 120
Total 21+36 = 57 159 + 84 =243 300
Two business women are having lunch at a restaurant. Their bill came to $47.85, and they want to leave an 18% tip. What is the amount of the tip?
Answers
Explanation: 47.85 times .18
The population of a small town is 7,300. if the population is growing by 4% each year, how long will it take for the population to reach 12,000?
Answers
At Subway, there are 5 choices of bread, 2 sizes, and 13 filling options. Without considering the toppings, how many ways can you order a sandwich?
Answers
Answer:
20
Step-by-step explanation:
Graph the line.
Don’t mind the random letters Fghhujhgdfvfdfgvee de f
Answers
Answer:
Step-by-step explanation:
Here, we want to graph the given line
Mathematically, to graph a line, we will
need to work with the intercepts
The general equation of a straight line is;
y = mx + b
m
is the slope and b is the y-intercept
with respect to the question, 4 is the y-intercept
we have this point as (0,4)
To get the x intercept, we will need to substitute 0 for the value of y
So, we have ;
0 = -x + 4
x = 4
The x-intercept too is 4
This is the point (4,0)
So by joining the points (0,4) and (4,0);
we have successfully graphed the line
It can be found as an attachment below
PLEEEASE Help ME!!! WILL GIVE 20 POINT BRAINLIEST FOR ANSWER ASAP!!!
A rectangle is formed by placing two identicle squares side by side the area of the rectangle is 72 cm.² what is the perimeter of one square
Answers
Answer:
no
Step-by-step explanation:
Answer:
288
Step-by-step explanation:
i help you
which function is shown in the table? (see image)
Answers
62% of salmon pass through a single dam unharmed. By what percent does the number of salmon decrease when passing through a single dam?
Answers
Answer: 38% of fish decrease when passing through a single dam
Step-by-step explanation: you would take 100% - 62% which equals 38%
What decimal shows the combined portion of boys who like pop and country music? Select ALL that apply! a .30 b 20% c .20 d .35 e 30% f 35%
Answers
Answer:
add chart! i dont want there to be point stealers so when u add a chart ill add u an answer
Step-by-step explanation:
Someone please help me!!!!
Find the total area of the regular pyramid. 280sq. units 180 + 54^3 sq. units 360 + 54^3 sq. units 234^3
Answers
Answer:
180+54sqrt3
You have to use the formula that is contained within the lessons, the answer you should have before you format it like this is: 273.530743609