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Viktor [21]
2 years ago
5

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<br> 8 with slope -5?
ira [324]

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 ;

y = - 5x + 8

3 0
2 years ago
Find the sum for:<br><br> (3x^2+4x−1)+(−2x^2−3x+2)=
Phantasy [73]

Answer:

x^2+x+1

Step-by-step explanation:

(3x^2+4x−1)+(−2x^2−3x+2)

Combine like terms

3x^2-2x^2+4x-3x-1+2

x^2+x+1

7 0
2 years ago
A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,
Darina [25.2K]

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

I=C(1+\frac{r}{n})^{nt}-C

where

<em>C = Amount of the credit granted </em>

<em>r = nominal interest per year </em>

<em>n = compounding frequency </em>

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

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

<em>There are 12 months in a year </em>

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

<em>There are 365 days in a year </em>

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%

3 0
2 years ago
Polygon ABCD is a parallelogram, and . The length of is 10 units, and the length of is 5 units. The perimeter of the parallelogr
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. 

3 0
2 years ago
Read 2 more answers
What is the slope of the line shown in the graph? A)-5 B)-1/5 C)5 D)1/5
zhuklara [117]

Answer:

5

Step-by-step explanation:

To find the slope, you use rise/run. In this case... the rise is 5 up and the run is 1 across. Therefore it is 5/1 which is the same as 5. Hope this helped!


3 0
2 years ago
Read 2 more answers
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