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iris [78.8K]
3 years ago
14

Need help solving for x

Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

Answer:

9.2

Step-by-step explanation:

The given triangle is a right angled triangle. To solve for any of the side length of such triangle, apply the trigonometry ratio formula which can easily be remembered as SOHCAHTOA.

SOH is Sin θ = opposite/hypothenuse,

CAH is Cos θ = Adjacent/hypotenuse

TOA is Tan θ = Opposite/adjacent

Thus, in the right triangle given, we have:

θ = 38°

Opposite side to the given angle = x

Hypotenuse = 15

We're going to use, sin θ = opposite/hypotenuse

Sin(38) = x/15

Multiply both sides by 15 to solve for x

15*sin(38) = x

15*0.616 = x

9.24 = x

<em>x ≈ 9.2 (to nearest tenth)</em>

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Pablo simplified the expression (2 Superscript negative 4 Baseline) Superscript negative 2 as shown.
Lady_Fox [76]

Answer:

<h3>He should have found 8 as the exponent, not –8.</h3>

Step-by-step explanation:

Given the expression simplified by Pablo as (2^{-4})^{-2}

On simplification we have;

According to one of the law of indices (a^{m})^{n} = a^{mn}

Applying this law to the question will give;

(2^{-4})^{-2}\\=2^{-4*-2}  \\\= 2^{8}

Based on the calculation above, the exponent of 2 is 8 which means that Pablo should have found 8 as the exponent, not –8.

7 0
3 years ago
Is 3in., 6inch., and 9in., a right triangle?
ICE Princess25 [194]

Answer:

no

Step-by-step explanation:

if you do 3 x 6 x 9 that equals 162 and a right angle is 190, right?

7 0
3 years ago
$765.13 is deposited at the end of each month for 3 years in an account paying 2% Interest compounded monthly. Find the final am
Crank

Answer:

Option B.

Step-by-step explanation:

The future value formula, for an annuity, is:

FV = \frac{P((1+r)^{n} - 1)}{r}

An annuity means that a number of payments happen during the period(an year, for example).

P is the value of the deposit, r is the interest rate, as a decimal, and n is the number of deposits.

In this question:

Deposits of $765.13, so P = 765.13

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Find the final amount of the account.

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The final amount of the account will be $28,363.46, which is option B.

8 0
3 years ago
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Step-by-step explanation:

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There are ninety million possible combinations. :)
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