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3 years ago

104/99 as mixed number

Mathematics

1 answer:

Sedbober [7]3 years ago

8 0

1 5/99. 99 goes into 104 once and 5 is left over. So 5 is the numerator and 99 stays as the same denominator

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The balloons for a party cost $37.95. Five people share the cost equally. How much money will each person pay?

Maslowich

37.95/5=7.59$ for each person that will pay for the ballon party

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3 years ago

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The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

WITCHER [35]

Answer:

It will take them 5 hours to meet if they start moving towards eachother simultaneusly.

Step-by-step explanation:

Distance, s = 540 miles

Motocycle's speed, v = 48 mph

Time for motorcycle to cover 48 miles, t = $\frac{Distance}{Speed}$

= $\frac{540}{48}$ = 11.25 h

For a car it takes 2.25 hours less than 11.25 for motorcycle:

Time for car than becomes: 11.25 - 2.25 = 9 h

Speed for car would be v(c) = $\frac{Distance}{Time}$

= $\frac{540}{9}$ = 60 mph

<em>For finding when they will meet, we will need relative speed: </em>

Since they are moving towards each other the relative speed is the sum of speed of car and the speed of motorcycle

Relative Speed = 48 + 60 = 108 mph

Distance = 540 miles

Time = $\frac{Distance}{Speed}$

= $\frac{540}{108}$

= 5 hours

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3 years ago

Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triang

Vladimir [108]

Answer:

$cos^2\theta + sin^2\theta = 1$

Step-by-step explanation:

Given

$(\frac{b}{r})^2 + (\frac{a}{r})^2$

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2$

Going by the Pythagoras theorem, we can assume the following.

a = Opposite
b = Adjacent
r = Hypothenuse

So, we have:

$Sin\theta = \frac{a}{r}$

$Cos\theta = \frac{b}{r}$

Having said that:

The expression can be further simplified as:

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = 1$

Substitute values for sin and cos

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = 1$ becomes

$cos^2\theta + sin^2\theta = 1$

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4 years ago

BRAINLY DO NOT ANSWER UNLESS YOU KNOW OR I WILL REPORT YOU

enyata [817]

Answer:

1: true , 2: A

Step-by-step explanation:

im smart

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3 years ago

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66/100 simplest friend

tamaranim1 [39]

Assuming you mean simplified, 66/100=33/50, which can be achieved by dividing both the numerator and denominator by 2.

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3 years ago