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4 years ago

Distance is never negative.

Mathematics

1 answer:

Nikitich [7]4 years ago

8 0

The answer is true. It cannot be negative.

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Find the value of x. Round to the nearest tenth.

denpristay [2]

Answer:

$\displaystyle x \approx 38.2 ^{\circ}$

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
Subtract Property of Equality

Pre-Calculus

Law of Sines: $\displaystyle \frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}$

A, B, C are angle measures
a, b, c are leg lengths

Step-by-step explanation:

Step 1: Identify

A = 27°, a = 11

B = x°, b = 15

Step 2: Solve for x

Substitute [LOS]: $\displaystyle \frac{sin(27^{\circ})}{11} =\frac{sin(x^{\circ})}{15}$
Cross-multiply: $\displaystyle 11sin(x^{\circ}) = 15sin(27^{\circ})$
Isolate x term: $\displaystyle sin(x^{\circ}) = \frac{15sin(27^{\circ})}{11}$
Isolate x: $\displaystyle x = sin^{-1}(\frac{15sin(27)}{11})$
Evaluate: $\displaystyle x = 38.2488 ^{\circ}$
Round: $\displaystyle x \approx 38.2 ^{\circ}$

7 0

3 years ago

Cuanto 5 entre 6'658

Serggg [28]

Answer:

1331.6

Step-by-step explanation:

5 0

3 years ago

2 Points

mario62 [17]

Answer:

B and E

Step-by-step explanation:

Given the rational expression

$\frac{x-7}{2x^2-32}$ ← factorise the denominator

2x² - 32 ← take out a common factor of 2 from each term

= 2(x² - 16) ← (x² - 16) is a difference of squares

= 2(x - 4)(x + 4)

The expression can now be written as

$\frac{x-7}{2(x-4)(x+4)}$

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.

2(x - 4)(x + 4) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

These are the values of x that make the expression undefined.

x = 4 → B

x = - 4 → E

4 0

3 years ago

Read 2 more answers

Pumpkin seeds cost $6.00 per pound at the store. Make a T-chart and graph the proportional relationship between the number of po

klemol [59]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7B32%5Ex%20-1%20%7D%20%7D%20-1%20" id="TexFormula1" title=" \sqrt[5]{32^x -1

maks197457 [2]

Add 1 to both sides
$\sqrt[5]{32^x-1}=1$
raise each side to the 5th power
$32^x-1=1$
add 1 to both sides
$32^x=2$
we can try to match bases
because if, xᵃ=xᵇ where x=x, then a=b
we know that 32=2⁵
and $(x^m)^n=x^{mn}$ so
$32^x=2$ is the same as
$(2^5)^x=2$ or $2^{5x}=2^1$
therefor
5x=1
divide both sides by 5
x=1/5

4 0

3 years ago