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2 years ago

Solve for 2. Round to the nearest tenth, if necessary.

Mathematics

1 answer:

inysia [295]2 years ago

6 0

Answer:

Step-by-step explanation:

The reference angle is given as 63 degrees. The sides in question, x and 1, are adjacent to and opposite of this angle, respectively. The trig ratio that utilizes the sides adjacent to and opposite of angles is the tangent ratio; namely:

$tan(63)=\frac{1}{x}$ and rearrange algebraically to get

$x=\frac{1}{tan(63)}$ to get

x = .5

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A triangle was dilated by a scale factor of 6. If sin aº

Pavlova-9 [17]

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

$\sin (a) = \frac{4}{5}$

$\sin (a) = \frac{opposite}{hypotenuse}$

From definition:

$\sin (a) = \frac{opposite}{hypotenuse}$

Replacing:

$\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units$

8 0

3 years ago

Wright the expression 6a - 2 (a-1) in simplest form

vovikov84 [41]

6a-2(a-1)
6a-2a-2
4a-2
I think it is 4a-2

6 0

3 years ago

Irene has 1 gallon of milk. She uses

Umnica [9.8K]

Answer:

Step-by-step explanation:

In 1 gallon, there are 128 ounces.

Divide 128 by 4 and get 32.

5 0

2 years ago

Reptile [31]

Answer:

The real zeros of f(x) are x = 0.3 and x = -3.3.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this problem, we have that:

$f(x) = x^{2} + 3x - 1$

$a = 1, b = 3, c = -1$

$\bigtriangleup = 3^{2} - 4*1*(-1) = 13$

$x_{1} = \frac{-3 + \sqrt{13}}{2*1} = 0.3$

$x_{2} = \frac{-3 - \sqrt{13}}{2*1} = -3.3$

The real zeros of f(x) are x = 0.3 and x = -3.3.

7 0

2 years ago

When dividing 82 by 43, Linda estimated the quotient to be 2. Examine Linda’s work, and explain what

Vanyuwa [196]

Answer:

82/43 = 1 and 39/43

Step-by-step explanation:

When dividing 82 by 43 , the operation follows;

82/43 = 1 and 39/43

This means the quotient is 1 and reminder is 39

However;

82/43 = 1.907 ------nearest whole number is 2.

so the quotient can be approximated to the nearest whole number as 2.

8 0

2 years ago