Answer:
x ≈ 4.8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle measure = 58°
Adjacent side of angle = <em>x</em>
Hypotenuse = 9
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [cosine]: cos58° = x/9
- Isolate <em>x</em>: 9cos58° = x
- Evaluate: 4.76927 = x
- Rewrite: x = 4.76927
- Round: x ≈ 4.8
AnswA line can be written in the form y = mx + b where m is the slope and b is the y intercept.
Since the slope is given as 4, the equation will be y = 4x + b
Plugging in the point (2,1) to the equation we get 1 = 4(2) + b or 1 = b + 8
Solving for b gives b = -7 so the equation will be y = 4x - 7er:
Step-by-step explanation:
-- The square of the shortest side . . . 16² = 256
-- The square of the medium side . . . 30² = 900
-- Their sum . . . (256 + 900) = <u>1,156</u>
-- The square of the longest side = 35² = <u>1,225</u>
1,156 and 1,225 are not equal, so these 3 numbers
<em>can</em> be the sides of a triangle, but it's not a right one.
The statement is <em>false</em>. (choice 'b')
Answer:
1 and 2 are not congruent; 1 and 3 are congruent; 1 and 4 are congruent; 2 and 3 are not congruent; 2 and 4 are not congruent; 3 and 4 are congruent.
Step-by-step explanation:
From the diagram, we can see that the angle measures and side measures of figures 1, 3 and 4 are the same. This means that these three figures are congruent. Figure 2, however, is not congruent to any of the other 3.
Answer:
83.6 is a real number
Step-by-step explanation:
Since 83.6 83.6 is a real number, it is the real part (a) of the complex number a+bi a + b i . A real number does not contain any imaginary parts, so the value of b b is 0 0 . The answer is 83.6+0i 83.6 + 0 i