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3 years ago

11

Bella bought a small smoothie at the Point Coffee Shop and gave the barista a 10% tip. She spent 2.75 in all. How much did the s

moothie cost before the tip?

1 answer:

I am Lyosha [343]3 years ago

7 0

She spent $2.50 (before the tip) ;)

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Prove that (sec theta-cos theta) ( cot theta+tan theta) = tan theta ×sec theta

meriva

Given:

$(\sec \theta \cos \theta)(\cot \theta+\tan \theta)=\tan \theta \sec \theta$

To prove:

The given statement.

Proof:

We have,

$(\sec \theta -\cos \theta)(\cot \theta+\tan \theta)=\tan \theta \sec \theta$

Taking LHS, we get

$LHS=(\sec \theta -\cos \theta)(\cot \theta+\tan \theta)$

$LHS=(\dfrac{1}{\cos \theta }-\cos \theta)(\dfrac{\cos \theta}{\sin \theta}+\dfrac{\sin \theta}{\cos \theta})$

$LHS=(\dfrac{1-\cos^2 \theta }{\cos \theta })(\dfrac{\cos^2 \theta+\sin^2 \theta}{\sin \theta\cos \theta})$

$LHS=(\dfrac{\sin^2 \theta }{\cos \theta })(\dfrac{1}{\sin \theta\cos \theta})$ $[\because \cos^2 \theta+\sin^2 \theta=1]$

$LHS=(\dfrac{\sin \theta }{\cos \theta })(\dfrac{1}{\cos \theta})$

$LHS=\tan \theta \sec \theta$

$LHS=RHS$

Hence proved.

3 0

3 years ago

Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then

Mamont248 [21]

1. 2.4 = 12/5 Rational
2. 74 = 74/1 rational
3. 17.333...=52/3 rational
4. pi can not be expressed as a fraction so irrational
5. 5 6/11 = 61/11 rational
6 -18 = -18/1 rational
7. 0.6=6/10 rational
...
Everything is rational other than number four

3 0

3 years ago

A catering service offers appetizers, main courses, and desserts. A customer is to select appetizers, main courses, and desserts

Paha777 [63]

Answer:

6

Step-by-step explanation:

We have 3 items (n = 3),

Appetizers = A

Main course = M

Dessert = D

which can be ordered in 6 different ways. The problem is solved by thinking it as a permutation of 3 elements.

The formula for that is:

P = n!

P = 3! = 3 x 2 x 1 = 6

Let's see check it:

AMD

ADM

MAD

MDA

DMA

DAM

4 0

4 years ago

Help please! thank you!

Andreyy89

Answer:

The probability that a point randomly chose in the rectangle is in the triangle is $\frac{1}{8}$ , so the answer would be A

Step-by-step explanation:

To find the probability of a random point being in the triangle, we must find the area of the triangle and the area of the rectangle.

The area of the rectangle can be found by multiplying the width by the height, so the equation would be

$8 *4 = 32$

The area of the the triangle can be found by the formula $A = \frac{1}{2} bh$

This means that the equation would look like

$\frac{1}{2} *2*4=4$

Now that we have both the area of the triangle and the rectangle, we can create a ration of the area of the triangle to that of the rectangle. It would look like this

$\frac{4}{32}$

This would simplify to $\frac{1}{8}$

8 0

3 years ago

Read 2 more answers

Which 3 of the following statements are true???

snow_lady [41]

Answer:

After 3 years the value is 2336

This situation represents exponential decay

the equation is y=3000(.92)

4 0

3 years ago