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2 years ago

I’m confused on this question and I need help

Mathematics

1 answer:

Nataly_w [17]2 years ago

4 0

Answer:

Step-by-step explanation:

Pythagorean Theorem

c^2 = a^2 + b^2

a = 20

b = 15

c = ?

c^2 = 20^2 + 15^2

c^2 = 400 + 225

c^2 = 625 Take the square root of both sides.

√c^2 = √625

c = 25

The third side is 25 cm long.

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Need quick answers please

Olenka [21]

Answer:

A, E, F, D

Step-by-step explanation:

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5 0

2 years ago

You want to deliver a package to japan.the fed ex delivery service charges a $15 flat fee plus $2 per additional kilogram. You c

Blababa [14]

Depending on how heavy the package is, you should take the Fed Ex if the package is heavy, and the UPS for something that is small

7 0

2 years ago

What is the following product? <br>(4x square root 5x^2 + 2^2 square root 6)^2

tangare [24]

The product is $104 x^{4}+16 \sqrt{30} x^{4}$

Explanation:

The given expression is $\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}$

We need to determine the product of the given expression.

First, we shall simplify the given expression.

Thus, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x \sqrt{5} x+2 x^{2} \sqrt{6}\right)^2$

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)^2$

Expanding the expression, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)$

Now, we shall apply FOIL, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}\right)^{2}+2 ( 2 x^{2} \sqrt{6})(4 x^{2} \sqrt{5})+\left(2 x^{2} \sqrt{6}\right)^{2}$

Simplifying the terms, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=16 \cdot 5 x^{4}+16 \sqrt{30} x^{4}+4 \cdot 6 x^{4}$

Multiplying, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=80 x^{4}+16 \sqrt{30} x^{4}+24 x^{4}$

Adding the like terms, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=104 x^{4}+16 \sqrt{30} x^{4}$

Thus, the product of the given expression is $104 x^{4}+16 \sqrt{30} x^{4}$

7 0

3 years ago

You need to borrow $15,000 to buy a car, and you determine that you can afford monthly payments of $325. The bank offers three c

Klio2033 [76]

Answer:

the 5yr/ $270mth

Step-by-step explanation:

$15k × 8% = $1200 interest

$15k + $1200 = $16,200.00

$16500 ÷ 60months (5years) = $270/mth pymt

4 0

2 years ago

The radius of a circle of area a and circumference c is doubled. find the new area of the circle in terms of

maksim [4K]

By definition, the circumference of a circle is:
$c = 2 * pi * r
$
The area of a circle is:
$a = pi * r ^ 2
$
Where,
r: radius of the circle.
When the radius is double, then the new area is:
$A = \pi*(2r)^2
$
Rewriting we have:
$A = 4 * \pi * r ^ 2
$
In terms of a we have:
$A = 4 * a$
Answer:
The new area of the circle in terms of a is:
$A = 4 * a$

3 0

3 years ago