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3 years ago

Write the expression in algebraic form. [hint: sketch a right triangle.] tan(arcsec(x/3))

1 answer:

6 0

Sketch a right triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x” and assigning angle “a” as the angle between A and H. Using Pythagorean theorem, you will get “square root of x-squared minus 9” as the opposite side (O). Using SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) = x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.

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Martha has $10,000 saved and wants to attend a college with a current tuition of $10,000 a year. She will graduate from high sch

never [62]

Answer:

A: 1,590.00

Step-by-step explanation:

We can use the simple interest rate equation for this problem: p(1 + r)^t

Step 1: Replace the variables with the amounts given

10000(1 + 0.03)^5

Step 2: Solve/Plug in calc

You will get 1590.00

8 0

3 years ago

-2x+4=10 3/4x =2 Plz help ill give brainly

Archy [21]

Answer:

$a) \: - 2x + 4 = 10 \\ 4 = 10 + 2x \\ 4 - 10 = 2x \\ - 6 = 2x \\ \frac{ - 6}{2} = x \\ - 3 = x \: or \: x = - 3 \\ \\ b) \: \frac{3}{4x} = 2 \\ 3 = 2 \times 4x \\ 3 = 8x \\ x = \frac{3}{8} \\ 0.375 = x \: \: or \: x = 0.375$

Step-by-step explanation:

please mark me brainliest

5 0

3 years ago

The lock on a safe requires a three-digit code to open it. The three digits must each be a number from 0-9 (10 possible numbers)

vovangra [49]

The correct answer is Choice B: 720.

To solve this, you have to use the Fundamental Counting Principal. You find the total number of options for each of the digits, then multiply them together.

For the first one, there are 10 options, then 9 options and finally 8 options.

10 x 9 x 8 = 720

7 0

3 years ago

Solve the system of equations. 7x−3y=20 y=5x−4 x= y=

Ksenya-84 [330]

Answer:

Step-by-step explanation:

substitute the value of y in the first equation.

7x-3(5x-4)=20

7x-15x+12=20

-8x=20-12

x=8/-8

x= -1

then you substitute the value of x on the y equation to find y

y=5×-1 -4

y= -5-4

y= -9

5 0

2 years ago

Read 2 more answers

Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?

Lerok [7]

Answer:

a) The formula for the area of a circle

Step-by-step explanation:

The formula for the area of a circle is

A = πr²

π is an irrational number and, no matter what value you use for r, the area will be an irrational number,

b) is wrong. A = ½(a + b)h.

c) is wrong. A = ½bh.

d) is wrong. A = bh.

All measurements are rational numbers, so the areas will be rational numbers.

8 0

3 years ago