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3 years ago

Maddie has 180 coins. Of these coins, 1/12 are dimes. About how many dimes does she have?

1 answer:

8 0

Remember that "of" means to multiply.
(1/12) of 180 coins are dimes. The number of dimes will be
(1/12)*180 = 180/12 = 15

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Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.

vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

$\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}$

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

$\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}$

So, it becomes,

$\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ$

Hence, the value of cos theta is -0.352.

8 0

3 years ago

What does the symbol for factorial function (n) mean

vfiekz [6]

Answer:

see explanation

Step-by-step explanation:

The meaning of n factorial → n !

n ! = n(n - 1)(n - 2)........ × 3 × 2 × 1

For example

7 !

= 7 × 6 × 5 × 4 × 3 × 2 × 1

3 0

3 years ago

If I Row my canoe at 5 mph and I travel upstream at 3 mph, how fast will I be traveling downstream if I am rowing at the same ra

Assoli18 [71]

Is the same as the one you just did.

keep in mind that, going against the current, the current's speed erodes speed from your regular speed, whilst if you're going with the current, the current's speed adds to it.

now, in this case, you row 5mph, going upstream you're only doing 3mph, whatever happened to the other 2mph? well, the current speed eroded them, meaning the speed of the river is 2mph.

now, going downstream with the current, your regular speed is 5mph, and the current is 2mph, since the current adds to yours, then you're going 5 + 2, mph.

5 0

2 years ago

To create an entry code, you must first choose 2 letters and then 2 single digit numbers. How many entry codes can you create?

ivann1987 [24]

Answer:

55600

Step-by-step explanation:

First times the number of possibilities of the amount of letters it could be so 26X26 as it is a non consecutive possibility that means both letters have the possibility to be the same. Then take the product of 26X26 and multiply it by the possibilities of the first number which is 10 then repeat that by again multiplying the product by 10 to represent the number of possibilities for the second number

3 0

3 years ago

Kate bought $23.40 worth of two types of bird seed. Thistle bird seed sells for $1.60 per pound and wild bird seed sells for $0.

earnstyle [38]

Answer:

Ax+By=C and 7.5 lb of Thistle

Step-by-step explanation:

6 0

2 years ago