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3 years ago

How do I answer this?

Mathematics

2 answers:

kondor19780726 [428]3 years ago

6 0

c = 30 inch

Step-by-step explanation:

perpendicular (p) = 18 inch

base(b) = 24 inch

hypotenuse (h) = ?

we know by using Pythagoras theorem

h² = p² + b²

h² = 18² + 24²

h² = 324 + 576

h² = 900

h= √900

therefore h = 30 inch

Hope it will help you. :)

Wewaii [24]3 years ago

3 0

Answer:

(30)Pythagorean theorem a^2+b^2=c^2

Step-by-step explanation:

18^2+24^2=c^2

square root 900 and the answer is 30

sorry if wrong i tried

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Option C

When $(2x - 3)^2$ is subtracted from $5x^2$ then the result is $x^2 + 12x - 9$

<h3><u>Solution:</u></h3>

Given that $(2x - 3)^2$ is subtracted from $5x^2$

We have to find the result

Subtraction is a mathematical operation that tells us the difference between two numbers.

When "a" is subtracted from "b", we write in mathematical expression as "b - a"

So $(2x - 3)^2$ is subtracted from $5x^2$ is written mathematically as:

$\rightarrow 5x^2 - (2x - 3)^2$

<em><u>Expanding the above expression using algebraic identity:</u></em>

$(a-b)^2 = a^2 - 2ab + b^2$

$\rightarrow 5x^2 - ((2x)^2 -2(2x)(3) + (3)^2)\\\\\rightarrow 5x^2 - (4x^2 - 12x + 9)$

Multiplying the nnegative sign with terms inside bracket

<em><u>There are two simple rules to remember: </u></em>

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

$\rightarrow 5x^2 - (4x^2 - 12x + 9)\\\\\rightarrow 5x^2 - 4x^2 + 12x -9\\\\\rightarrow x^2 + 12x - 9$

Hence the result is: $x^2 + 12x - 9$

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3 years ago

In planning her retirement, Liza deposits some money at 4.5% interest, with twice as much deposited at 5%. Find the amount depos

AlekseyPX

Let

x ----> amount deposited at 4.5%

y ----> amount deposited at 5%

we have that

y=2x----> equation A

4.5%=0.045

5%=0.05

0.045x+0.05y=1,595 ----> equation B

solve the system

substitute equation A in equation B

0.045(x)+0.05(2x)=1,595

solve for x

0.045x+0.10x=1,595

0.145x=1,595

x=11,000

Find y

y=2(11,000)=22,000

<h2>The amount deposited at 4.5% was $11,000 and the amount deposited at 5% was $22,000</h2>

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