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2 years ago

Simplify -8 + 6(b - 1). -2 b - 1 6 b - 14 6 b - 9 -2 b + 2

Mathematics

2 answers:

Paul [167]2 years ago

6 0

Answer:

-14-158b

Step-by-step explanation:

pshichka [43]2 years ago

3 0

Answer:

6 b - 14

Step-by-step explanation:

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Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.

suter [353]

Answer:

$\theta = 30^\circ, 330^\circ$

$\theta = \frac{\pi}{6}, \frac{11\pi}{6}$

Step-by-step explanation:

Given [Missing from the question]

Equation:

$cos\theta = \frac{\sqrt 3}{2}$

Interval:

$0 \le \theta \le 360$

$0 \le \theta \le 2\pi$

Required

Determine the values of $\theta$

The given expression:

$cos\theta = \frac{\sqrt 3}{2}$

... shows that the value of $\theta$ is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

$cos\theta = \frac{\sqrt 3}{2}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{\sqrt 3}{2})$

$\theta = 30$ --- In the first quadrant

In the fourth quadrant, the value is:

$\theta = 360 -30$

$\theta = 330$

So, the values of $\theta$ in degrees are:

$\theta = 30^\circ, 330^\circ$

Convert to radians (Multiply both angles by $\pi/180$ )

So, we have:

$\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}$

$\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}$

$\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}$

$\theta = \frac{\pi}{6}, \frac{11\pi}{6}$

8 0

2 years ago

W(n)=n^2-3n find w(4)

Zina [86]

If w(n) = n² - 3n,

w(4) = 4² - 3(4)

= 16 - 12

= 4

w(4) = 4

4 0

3 years ago

Write a linear function f with the values f(−1)=8 and f(5)=6.

Mashutka [201]

Answer:

f(x)=1/3x+23/3

Step-by-step explanation:

Find the slope:

m= -1/3

Find the y-intercept:

b= -7 2/3

Substitute in the numbers to get:

f(x)=1/3x+23/3

Hope this helps! :)

8 0

3 years ago

alex needs to varnish the top and the bottom of a dozen rectangular wooden planks.The planks are 8 feet long and 3 feet wide.Eac

Marta_Voda [28]

Given:
12 rectangular planks
2 sides per plank
Length = 8 ft
Width = 3 ft

Area of a rectangle = Length * Width.
A = 8ft * 3ft
A = 24 ft²

24 ft² x 2 sides of a plank = 48 ft²
48 ft²/plank * 12 planks = 576 ft² is the total area Alex needs to varnish.

576 ft² ÷ 125 ft² = 4.608 pint or round to 5 pints

5 pints x $3.50/pint = $17.50 Total cost that Alex need to spend to varnish all the wooden planks.

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3 years ago

What percent of 30 is 75

nikitadnepr [17]

Answer:

_________________

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3 years ago