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2 years ago

Find the degree of the monomial.3b2c

Mathematics

1 answer:

garik1379 [7]2 years ago

8 0

Answer:

Step-by-step explanation:

The degree of the given monomial = 2 + 1 = 3

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How many ways are there to choose a committee of 7 people from a group of 10 people?7201208405040?

lyudmila [28]

Answer: 120

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Explanation:

We have seven slots to fill. Let's call the slots A, B, C, D, E, F, G

There are 10 choices for slot A

There are 9 choices for slot B

There are 8 choices for slot C

There are 7 choices for slot D

There are 6 choices for slot E

There are 5 choices for slot F

There are 4 choices for slot G

We count down because each previous slot reduces the pool to choose from. Multiply those values out: 10*9*8*7*6*5*4 = 604800

Now divide that result by 5040. Why 5040? Because this is the number of ways to arrange 7 people within a single grouping. Note how 7! = 7*6*5*4*3*2*1 = 5040. W're dividing because order does not matter for any committee.

So we have 604800/5040 = 120 which is the answer we want

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Side note: We could use the alternate route of the nCr combination formula

nCr = (n!)/(r!*(n-r)!)

where n = 10 and r = 7

5 0

3 years ago

A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an

Snowcat [4.5K]

Answer:

$\cos\theta=\frac{10}{\sqrt{116}}$

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

$\cos\theta$ is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let $c$ represent the length of the hypotenuse):

$10^2+4^2=c^2$

$100+16=c^2$

$116=c^2$

$c=\sqrt{116}$

Thus, we know the adjacent is 10, and the hypotenuse is $\sqrt{116}$ . This means $\cos\theta=\frac{10}{\sqrt{116}}$ .

Hope this helps!

5 0

2 years ago

There are 144 people in an audience. The ratio of adults to children is 5 to 3. How many are adults?

Igoryamba

Find out how many children there are first. Come on, this is simple fractions/percents/decimals/ratios.

6 0

3 years ago

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If you choose one card from a standard deck, what is the probability that the card is either red or a king?

kherson [118]

$|\Omega|=52\\ |A|=\underbrace{26}_{\text{red}}+\underbrace{4}_{\text{king}}-\underbrace{2}_{\text{red king}}=28\\\\ P(A)=\dfrac{28}{52}=\dfrac{7}{13}\approx54\%$

5 0

2 years ago

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What is the slope intercept form for y-5=3(x-3)

zubka84 [21]

Answer:y=3x-4

Step-by-step explanation:

you add 5 on both sides

simplify

and get y on one side

slope is 3

the y intercept is -4

4 0

2 years ago

Find the degree of the monomial.3b2c​

Find the degree of the monomial.3b2c