Answer:
18ft
Step-by-step explanation:
L = length
W = width
l = w + 2ft ; because the is 2 ft longer than width
The area of a rectangle is lw
You can take the first equation ( l = w + 2 ) and plug it in lw
like this: lw ---> (w+2)w = w^2+2w
then from the question you get: w^2+2w=19.25
you use the quadratic formula and get w = 3.5
then from the first equation, you get l = 3.5+ 2 so the length is 5.5
lastly, you use the perimeter formula: 2(l+w) so 2(9) = 18
so 18ft
Answer:
∠ C = 36°
∠ D= 81°
∠ DEC= 63°
Step-by-step explanation:
<em>The exterior angle of a triangle is equal to the sum of the interior opposite angles. </em>
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∴ (11y + 4) + (5y + 1) = 117
11y + 4 + 5y + 1 = 117
16y + 5 = 117
16y = 117-5
16y = 112
y = 112÷16
y = 7
∠ C = 5×(7) + 1 = 36°
∠ D = 11×(7) + 4 = 81°
∠ DEC = 180- 117 = 63°
<u><em>PLEASE MARK THIS ANSWER AS THE BRAINLIEST</em></u>
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<em />
Divide by three and use the number you get as well as the numbers above and below to get the answer. 51/3=17 17-2=15 17+2=19 The numbers are 15,17,19. The second number is 17.
Step-by-step explanation:
what is to be done ? just that addition ?
first, let's all bring to pure fractions.
7 2/3 = (7×3 + 2)/3 = 23/3
2 1/5 = (2×5 + 1)/5 = 11/5
then let's bring all to a common denominator (bottom part of the fraction).
for this, we need to find the first (or any) common multiple of the 2 denominators (here 3 and 5).
if you have no other idea, just multiply them with each other (in our case here this is also the smallest common multiple) : 3×5 = 15.
so, we bring both fractions into the form of .../15. then it is easy to add them.
23/3 = x/15
x = 23/3 × 15 = 23×15/3 = 23×5 = 115
=>
23/3 = 115/15
11/5 = x/15
x = 11/5 × 15 = 11×15/5 = 11×3 = 33
=>
11/5 = 33/15
now the addition :
115/15 + 33/15 = 148/15 or 9 13/15
this is the result, as it cannot be further simplified.
The expression is: a. StartFraction (3) sine (66 degrees) Over sine (38 degrees) EndFraction
Step-by-step explanation:
The Law of Sines is written as;
where a, b,c are sides of the triangle and side a faces angle A , side b faces angle B and side c faces angle C.
In this case,
Dividing side AB by sin 38° equals dividing side BC by sin 66°
3/0.61566147532 = BC/0.91354545764
4.87280773645 = BC/0.91354545764
BC=4.87280773645*0.91354545764 =4.45153137359
Approximate length is = 4.5 and the expression is: 3 sine 66°/ sine 38°
Learn More
Law of sines :brainly.com/question/3617061
Keywords: expression, length, line segment
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