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3 years ago

PLS HELP I WILL MARK BRAINLIEST

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

5 0

Answer:

$31.44

Step-by-step explanation:

29.95 * .05 = 1.49

29.95 + 1.49= 31.44 (you add because its tax)

hope this helps! :)

Sonbull [250]3 years ago

5 0

Answer:

I believe the answer you're looking for is $27.25.

Step-by-step explanation:

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Find the value of the trig function indicated.

jekas [21]

Answer:

$\displaystyle cos\theta = \frac{2\sqrt{13}}{13}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

[Right Triangles Only] SOHCAHTOA

[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = 8

b = 12

c

Step 2: Solve for c

Substitute in variables [Pythagorean Theorem]: 8² + 12² = c²
Evaluate exponents: 64 + 144 = c²
Add: 208 = c²
[Equality Property] Square root both sides: √208 = c
Rewrite: c = √208
Simplify: c = 4√13

Step 3: Define Pt. 2

Identify variables

Angle θ

Adjacent leg = 8

Hypotenuse = 4√13

Step 4: Find

Substitute in variables [Cosine]: $\displaystyle cos\theta = \frac{8}{4\sqrt{13}}$
Rationalize: $\displaystyle cos\theta = \frac{2\sqrt{13}}{13}$

6 0

2 years ago

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The length of a standard jewel case is 7cm more than its width. The area of the rectangular top of the case is 294 cm^2. Find th

storchak [24]

Answer:

Length = 21 cm

Width = 14 cm

Step-by-step explanation:

Let the width of the jewel case = m cm

So, the length of the case = (m + 7) cm

Area of the case = $294cm^{2}$

Now, Area of a Rectangle = Length x Width

= m x (m + 7)

⇒ m x (m + 7) = 294

or, $m^{2} + 7m - 294 = 0$

⇒ $m^{2} + 21m - 14m - 294 = 0$

or, $m(m+21) -14( m + 21)$

⇒(m + 21)(m -14) = 0

Hence, either (m + 21) = 0 ⇒ m = -21

or, (m -14) = 0⇒ m = 14

Since, m is the width of a case, so it can not be negative

Hence the width of the jewel case = m = 14 cm

And the length of the case = (m + 7) = 14 + 7 = 21 cm

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