From the question given above, the ratio of L : W in simplified form is given as: 6 : 5. See the explanation below.
<h3>What is a ratio?</h3>
A ratio, simply, can be defined as the quantitative relationship that exists between two values which is indicative of the number of times one value can be obtained from the other.
<h3>What is the explanation for the solution above?</h3>
<h3>Step 1 - Indicate your assumptions</h3>
Let X be the width of one of the rectangles and let its height be Y.
It is clear from the image that:
4X = 3Y
Hence
(4/3)X = Y
Therefore,
Lenght (L) = 3Y
= 3 (4/3)X
= 4X
Width (W) = Y + 2X
= (4/3)X + 2X
= (10/3)X
Therefore,
L : W = 4X: 10/3X
= 4:10/3
To remove the fraction, multiply both sides of the ratio by 3
= 12 : 10, furhter simplify by halving each value, and we have
= 6:5
Hence, the ratio L: W in simplified form is 6 : 5.
Learn more about ratios at:
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I think its A but not 100% sure
Answer:
- cos(θ) = -(√3)/2
- tan(θ) = -(√3)/3
Step-by-step explanation:
Referring to the attached short table of trig functions, we see that the reference angle with sin(θ) = 1/2 is π/6. The table also shows cosine and tangent values for that angle.
In the second quadrant, where π/2 < θ < π, the cosine and tangent are both negative. The values you seek are ...
cos(θ) = -(√3)/2
tan(θ) = -1/√3 = -(√3)/3
Answer:
write in algorithm and draw a flowchart to calculate the factorial of a number (N). verify your results by a trace table by assuming N=5
Answer:
1400 adult admissions.
Step-by-step explanation:
At a museum, adult admission is $13.00
Children admission is $7.50
During one day, a total of 1900 adult and children admissions were collected
And $21,950 in admission fees was collected.
Let adult admissions during that day be x,
And children admissions be y
The simultaneous equation formed is;
x + y = 1900 ... (i)
$13x + $7.50y = $21,950 ... (ii)
Multiplying (i) by 13 and (ii) by 1 we get;
13x + 13y = 24,700 ... (i)
13x + 7.50y = 21,950 ... (ii)
(i) - (ii) we get;
5.5y = 2750
y = 500
So there were 500 children admissions and 1900 - 500 = 1400 adult admissions.
