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gulaghasi [49]
3 years ago
8

Louie is trying to find a rectangular canvas for his art project. Its height must measure 18 inches and form a 48° angle with th

e diagonal at the top of the canvas. What is the length of the diagonal of the canvas? Round your answer to the nearest inch.
Mathematics
1 answer:
KengaRu [80]3 years ago
8 0

Answer:

27 inches

Step-by-step explanation:

To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.

The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:

cos(48) = height / diagonal

0.6691 = 18 / diagonal

diagonal = 18 / 0.6691 = 26.9 inches

Rounding to the nearest inch, the diagonal of the canvas measures 27 inches

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Answer:

Step-by-step explanation:

(a).

Within 1 year, there would be 4 payments to be made.

therefore, PMT= \frac{P(1+i)}{n} = \frac{2500(1+0.025)}{4*5} =\frac{2562.5}{20} = $128.125

(i) 1st payment will be :PMT $128.125

(ii) 2nd payment will be :128.125*(1.025)^1= $131.33

(iii) 3rd payment will be :128.125*(1.025)^2=$134.61

(iv) 4th payment will be :128.125*(1.025)^3=$137.98

Hence the payments are: $128.125, $131.33, $134.61, and $137.98.

(b).

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3 0
1 year ago
23 students want pancakes and 25 students wants waffles .what is the ratio of the number of students who want pancakes to the nu
Schach [20]

Answer:

23:25

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Number of students who want waffle: 25

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8 0
2 years ago
A snack cart sells lemonade for $2 and hot dogs for $5. The vendor sold 86 items today for a total of $330.
Firdavs [7]
Solutions 

There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs

Equation # 1

x + y = 86

This says that t<span>he vendor sold 86 items. 

</span>Equation # 2

2x + 5y = 330

= $2 for each lemonade
= $5 for each hot dog.

= total amount earned is $330.

Only these two equations are true and needed.
3 0
3 years ago
Read 2 more answers
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RideAnS [48]
M2= 2272134.32...2272134    
m2= 728465.7749 ...728466
m2= 194.7749...m2= 195.





8 0
3 years ago
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crimeas [40]
The answer is C.pamlz dxzml
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3 years ago
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