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2 years ago

What is the value of x

Mathematics

1 answer:

Gemiola [76]2 years ago

6 0

9514 1404 393

Answer:

x = 10

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

Sin = Opposite/Hypotenuse

sin(30°) = 5/x

Solving for x, we get ...

x = 5/sin(30) = 5/0.5

x = 10

_____

It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...

1 : √3 : 2

That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.

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What is the slope-intercept equation of the line whose y-intercept is 8 with slope -5?

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Answer:

y = - 5x + 8

Step-by-step explanation:

Given that :

Intercept = 8

Slope = - 5

Recall, the general. Slope - intercept equation :

y = bx + c

Where;

b = slope ; c = intercept

Plugging the Given slope and intercept values, equation becomes ;

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2 years ago

Find the sum for: (3x^2+4x−1)+(−2x^2−3x+2)=

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Answer:

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(3x^2+4x−1)+(−2x^2−3x+2)

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2 years ago

A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,

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Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

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where

C = Amount of the credit granted

r = nominal interest per year

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t = the length of time the interest is applied. In this case, 1 year.

In the special case the interest rate is compounded continuously, the interest is given by

$I=Ce^{rt}-C$

(a) Annually

$I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)$

The effective annual rate is 18.6%

(b) Monthly

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$I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)$

The effective annual rate is 20.27%

(c) Daily

There are 365 days in a year

$I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)$

The effective annual rate is 20.43%

(d) Continuously

$I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)$

The effective annual rate is 20.44%

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2 years ago

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Aliun [14]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below are the choices that can be found elsewhere:

A. rectangle; P = 26 linear units

B. square; P = 42 units2

C. parallelogram; P = 42 linear units

D. trapezoid; P = 26 linear units

The answer would be A.

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zhuklara [117]

Answer:

Step-by-step explanation:

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