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3 years ago

14. A circus show started at 6:15 1

Mathematics

2 answers:

Paladinen [302]3 years ago

7 0

my answers and workings are in the image above

Rus_ich [418]3 years ago

7 0

Answer:

3 hrs 15 minutes

Step-by-step explanation:

Circus show started at 6:15 pm

Ended at = 9:30pm

Duration= 3 hrs 15 minutes

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HURRY!!! How is completing the square beneficial? (in quadratic equation)

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3 years ago

A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise

Sophie [7]

Jim is correct because the ratios need to compare with the total amount of people surveyed. 55, 80, and 65 are numbers that don't fit in and don't tell the overall ratio. You can tell this by writing it as a fraction.
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3 years ago

Read 2 more answers

What is a convex polygon

azamat

Answer:

Step-by-step explanation:

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3 years ago

Can someone please answer. There is one problem. There's s picture. Thank you!

Pepsi [2]

The correct answer is the first option, 23.1 miles.

Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.

Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get $180-(57+90)=33\textdegree.$

Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.

$\frac{\sin(A)}{a} = \frac{\sin(B)}{b}$

For this problem, we'll let the height of the hot air balloon be $a=15$ and its respective opposite angle be $A=33\textdegree$ , and let the missing x-distance be $b$ , with its respective opposite angle $B=57\textdegree$ . Note, we're solving for $b$ .

$\frac{\sin(33)}{15} = \frac{\sin(57)}{b} \\ \\
b\times sin(33)=15\times \sin(57) \\ \\
b=\frac{15\times \sin(57)}{sin(33)} \\ \\
b\approx \frac{15\times 0.84}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx 23.3$

Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.

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3 years ago

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Aleksandr [31]

Answer:

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Step-by-step explanation:

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3 years ago