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3 years ago

Find the GCF of the polynomial, 20ab³ + 16a²b + a

Mathematics

1 answer:

Elza [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Greatest Common Factor is the "biggest" number that each have in common

20 a bbb + 16 aa b + a

the only thing all three have in commom is the "a"

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Solve for x. Round to the nearest tenth if necessary (will give brainliest PLEASE help!!!)

Lyrx [107]

Answer:

I think it's 30.1

Step-by-step explanation:

Since the hypothesis is always the longest side of the triangle

4 0

3 years ago

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$42.78 divided by 3 what is the answer

Ber [7]

The answer is $14.26

7 0

3 years ago

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A man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast

Talja [164]

Answer:

4.41 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.

We will use Pythagoras theorem to solve for the length of side x as:

$x^2+16^2=34^2$

$x^2=34^2-16^2$

$x^2=900\\\\x=30$

Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.

$x^2+16^2=y^2$

Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:

$2x\cdot \frac{dx}{dt}+0=2y\cdot \frac{dy}{dt}$

We have been given that $\frac{dx}{dt}=5$ , $y=34$ and $x=30$ .

$2(30)\cdot 5=2(34)\cdot \frac{dy}{dt}$

$300=68\cdot \frac{dy}{dt}$

$\frac{dy}{dt}=\frac{300}{68}$

$\frac{dy}{dt}=4.4117647058823529$

$\frac{dy}{dt}\approx 4.41$

Therefore, the man must let out the string at a rate of 4.41 feet per second.

8 0

3 years ago

Mary had a number of cookies. after eating one, she gave half the remainer to her sister. after eating another cookie, she gave

Gemiola [76]

She originally started with 23.

We can tell this by working the equation backwards. Since she has 5 left and she had just given half to her brother, we know she had 10 a moment ago.

Before that, Mary had eaten a cookie. So we add 1 to the total and now have 11.

Before eating that cookie, she has given half to her sister, which would give her 22.

And before giving half to her sister, she had eaten the first one, which would give us 23 to start with.

8 0

3 years ago

A rectangular prism has a length of 8 feet and a

Gala2k [10]

Answer:

640 squared feet

Step-by-step explanation:

(8•2)8•5=640

3 0

2 years ago