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kirill [66]
3 years ago
13

Find the value for the side marked below.

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0

Answer:

65.4

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\cos 61^{\circ}=\frac{y}{135},\\t=135\cos 61^{\circ}=65.4492987333\approx \boxed{65.4}

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PLEASE HELP ME THANK YOU
Anna [14]

Answer:

m = -6/5

Step-by-step explanation:

The points present are (-2,2) and (3,-4).

m = -4 - 2 / 3 - (-2)

m = -4 - 2 / 3 + 2

m = -6/5

7 0
3 years ago
Which expressions would complete this equation so that it has infinitely many solutions? 8 + 2(8x – 6) = Choose exactly two answ
cupoosta [38]
<span> the answers are ...C. 16x – 4 and  D. 4(4x – 1) ...

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3 0
3 years ago
Habiendose organizado un bingo se ha recaudado $1900. Por la entrada de hombres $15 y mujeres $10 y se ha reportado una asistenc
aev [14]

Answer:

The number of men was 80

The number of women was 70

Step-by-step explanation:

The question in English is

Having organized a bingo has raised $1900. For the entrance of men $15 and women $10 and an attendance of 150 people has been reported. Determine the number of men and the number of women who participated in the bingo.

Let

x----> the number of men

y----> the number of women

we know that

x+y=150

x=150-y -----> equation A

15x+10y=1,900 -----> equation B

substitute equation A in equation B and solve for y

15(150-y)+10y=1,900

2,250-15y+10y=1,900

15y-10y=2,250-1,900

5y=350

y=70

Find the value of x

x=150-70=80

therefore

The number of men was 80

The number of women was 70

3 0
3 years ago
Ted has a credit card that uses the average daily balance method. For the first 9 days of one of his billing cycles, his balance
slega [8]
Your question doesn't say what are the options, but we can make some reasoning.

The average daily balance method is based, obviously, on the <span>average daily balance, which is the average balance for every day of the billing cycle. Therefore, in order to calculate the average daily balance, you need to sum the balance of every day and then divide it by the days of the billing cycle.
In your case:
ADB = (9</span>×2030 + 21×1450) / 30 = 1624 $

Now, in order to calculate the interest, you should first calculate the daily rate, since APR is usually defined yearly, and therefore:
rate = 0.23 ÷ 365 = 0.00063 

Finally, the expression to calculate the interest could be:
interest = ADB × rate × days in the billing cycle
or else:
<span>interest = ADB × APR ÷ 365 × days in the billing cycle

In your case:
interest = 1624 </span>× 0.23 ÷ 365 × 30
             = 30.70 $
4 0
4 years ago
Read 2 more answers
A tree casts a shadow that is 231 cm long. Janet is 170 cm tall and she casts a shadow that is 102 cm long. How tall is the tree
Mekhanik [1.2K]

Answer:

139 cm

Step-by-step explanation:

7 0
3 years ago
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