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1 year ago

The measure of one of the acute angles in a right triangle is (2y) what is the other acute angle

Mathematics

1 answer:

skelet666 [1.2K]1 year ago

7 0

The measure of the other acute angle in the right triangle is 90 - 2y

<h3>How to determine the other acute angle?</h3>

The given parameters in the question are:

Shape = right triangle

Acute angle = 2y

The measures of acute angles in a right triangle add up to 90

This can be represented mathematically as

Acute angle + Other angle = 90

Substitute the known values in the above equation, so, we have the following representation

2y + Other angle = 90

This gives

Other angle = 90 - 2y

Hence, the other angle is 90 - 2y

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I think the answer is D. 2

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3 years ago

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Anyone can help asap?

Varvara68 [4.7K]

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Company A = Company B (solve for x)

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3 years ago

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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Answer:

Step-by-step explanation:

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Starting with your pencil point on the dot (0, -4), move the pencil point 4 units to the right and then 1 unit down. You will now be at (4, -5). Place a dark dot there.

Then draw a straight, solid line through (0, -4) and (4, -5).

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3 years ago

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Goryan [66]

Answer:

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