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2 years ago

8

a construction worker needs to put a rectangular window in the side of a building. He knows from measuring that the top and bott

om of the window have a width of 9 feet and the sides have a length of 12 feet. he also measured one diagonal to be 15 feet. what is the length of the other diagonal?

2 answers:

Art [367]2 years ago

8 0

Answer:

the answer is 15

Step-by-step explanation:

solmaris [256]2 years ago

3 0

Answer:

You can espick español y not can espick inglés

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Find the slope between the following 2 coordinate points. (-3,6) and (-1,-8)

padilas [110]

The slope formula is y2-y1 divided by x2- x1 so -8-6=-14 and -1+3=2
-14/2 =-7

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3 years ago

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Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

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3 years ago

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2 years ago

Which best explains why state governments are better able to focus on the needs of their citizens than the federal

sesenic [268]

Answer:

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Step-by-step explanation:

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3 years ago

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Approximately 18% of the population of California is 70 years or older. In a random sample of 4, what is the provability for 3 o

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Answer:

The correct response will be "0.01913".

Step-by-step explanation:

According to the question,

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2 years ago