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2 years ago

6

The sum of three consecutive odd numbers is 51. Find the numbers. Show your work and

1 answer:

Pachacha [2.7K]2 years ago

4 0

15,17,19 are all odd numbers and add to 51

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Find the length of the altitude to the hypotenuse. Round the answer to the nearest tenth, if needed.

SVEN [57.7K]

To solve this, it might be easier to draw it out (see the picture below). I split it into two triangles and used trig functions to find the altitude. I used the big triangle to find theta, and the used theta to find the side of the altitude. *remember that sine= opposite/hypotenuse*

8 0

3 years ago

You and your friend play a video game. You have a final score of 40 points, and your friend has a final score of -21 points. by

Serhud [2]

Answer:40+(-21)= 19

Step-by-step explanation:

5 0

3 years ago

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Carlo’s Bakery is having a special where he packages 6 muffins together for a low price and he packages 20 cookies together for

DaniilM [7]

Answer:

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Step-by-step explanation:

6 muffins together

20 cookies together

To sell the same amount of muffins and cookies,

Find the lowest common multiple of 6 muffins and 20 cookies

6 muffins = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78

20 cookies = 40, 60, 80

The lowest common multiple of 6 muffins and 20 cookies is 60

Therefore,

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

6 0

3 years ago

Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

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2 years ago

How many miles can you go on 28 gallons

ArbitrLikvidat [17]

Answer:

depends on how many miles you can go on 1 mile.

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2 years ago

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