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2 years ago

Create a real world problem that represents 2/3+2/5

1 answer:

5 0

Joseph and his friend Andrew are trying to buy pizza. So, Joseph buys 1 pizza, but eats one third, so he has 2/3 of a pizza left. Andrew bought a pizza, but ate 3/5 of it, so he has 2/5 left. How much pizza do the boys have together?

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Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

8090 [49]

Answer:

tanΘ = - $\frac{12}{5}$

Step-by-step explanation:

Using the trigonometric identities

• sin²x + cos²x = 1, hence

cosx = ± √(1 - sin²x )

• tanx = $\frac{sinx}{cosx}$

given sinΘ = $\frac{12}{13}$ , then

cosΘ = ± $\sqrt{1-(12/13)^2}$

Since Θ is in the second quadrant where cosΘ < 0, then

cosΘ = - $\sqrt{1-\frac{144}{169} }$

= - $\sqrt{\frac{25}{169} }$ = - $\frac{5}{13}$

tanΘ = $\frac{\frac{12}{13} }{\frac{-5}{13} }$

= $\frac{12}{13}$ × - $\frac{13}{5}$ = - $\frac{12}{5}$

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2 years ago

Which two statements contradict each other?

TiliK225 [7]

II. Triangle ABC is obtuse and III. Triangle ABC is acute, because acute is less than 180° and obtuse is between 180° and 270°

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3 years ago

you get a free meal at his favorite restaurant having to spend $50 or more at the restaurant he already spent $30.25. how much m

jeyben [28]

Subtract $30.25 from $50

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3 years ago

The cost of renting a table at the flea market is based on a fixed price per day plus an initial registration fee. If it costs $

Simora [160]

Answer:

c = 15d + 30

Step-by-step explanation:

Hey there!

This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).

The price for one day ($45) and the price for 4 days($90) are specific points on that line.

The points are (1, 45) and (4, 90).

We can first find the slope of the line:

As the price rises 45, the days increase by 3
Slope = rise/run
Slope = 45/3
Slope = 15

Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.

Solve for b:

y = mx + b
45 = 15(1) + b
45 = 15 + b
30 = b

The base price (b) is 30.

The equation is $\text{\boxed{c = 15d + 30}}$

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1 year ago

A new patio is in the shape of a square. On a scale drawing, the vertices of the patio's coordinates are: (6,1.5), (6,-5.5), (-1

Shkiper50 [21]

Seven units long. The distance between 2 sides, in this example is 6, and -1. The distance between 6 and -1 is 7, so when you add units, you get 7 units.

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2 years ago

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