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UNO [17]
3 years ago
14

Jack and Jill got tired of falling down that hill with a pail of water and decided to try flying a kite instead. Jack is holding

the kite string, and Jill is standing directly under the kite. The kite string forms a 61° angle with the line of sight between Jack and Jill, who are the same height. The two BFFs are standing 12 yards apart. How long is the kite string?
(this is Geometry, Trigonometric Ratios)
Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0
Because Jill is standing directly under the kite the angle between jack Jill and the kite is 90°
so
a=12 yards
A°=61°
B°=90°
b=?
to find b we have a formula:
a devided by the sinus of A equals b devided by the sinus of B

12÷sin(61°)=b÷sin(90°)
12÷0.8=b÷1
15=b
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3 years ago
John invests $2,975 at 4% interest compounded annually. What will be the balance in the account after 2.5 years?
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3 0
3 years ago
You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto
jolli1 [7]

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = x miles

Charges for one mile by Prestige car rentals = $0.07

Charges for x miles by Prestige car rentals = $0.07x

Total charges by Prestige Car rentals = $47 + $0.07x

Charges for one mile by Gateway Auto = $0.12

Charges for x miles by Gateway Auto = $0.12x

Total charges by Gateway Auto = $35 + $0.12x

As per question statement, the charges are same:

\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}

4 0
3 years ago
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Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

3 0
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pishuonlain [190]

Answer:

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so 3x+2x+5x=10x=840

so x=84

so numbers are 252,168,420

7 0
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