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3 years ago

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Mathematics

1 answer:

Akimi4 [234]3 years ago

4 0

Answer:

1) A

B) 5.818 stops

Step-by-step explanation:

Number One is less than or equal to 21 because the person only has 21 dollars, so she can't spend more than 21.

B can be solved through the equation by first subtracting $5, and then dividing 2.75 by 16.

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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

6u^9+(8u^9+4v) please help asap brainliest if you get it right

kramer

6u^9+(8u^9+4v)
= 6u^9 + 8u^9 + 4v
= 14u^9 + 4v

4 0

3 years ago

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Question 18 please help! i need answers!

Luden [163]

32 - 3/8y = 3/4y + 5

27 - 3/8y = 6/8y

27 = 9/8y

24 = y

3 0

2 years ago

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if one inch represents 14 feet how many inches would you use to make a scale drawing of a building that is 199 feet

gayaneshka [121]

Answer:

14.2 inches

Step-by-step explanation:

Given

1 inch = 14 feet

Required

Find the equivalent of 199 feet

Write out the given expression;

1 inch = 14 feet

Divide both sides by 14

$\frac{1\ inch}{14} = \frac{14\ feet}{14}$

$\frac{1\ inch}{14} = 1\ foot$

$1 foot = \frac{1}{14}inch$

Let x represent the equivalent of 199 feet in inches;

Such that:

$x = 199\ feet$

$x = 199 * 1 foot$

Substitute $1 foot = \frac{1}{14}inch$

$x = 199 * 1 foot$ becomes

$x = 199 * \frac{1}{14} inch$

$x = \frac{199}{14} inch$

$x = 14.2142857143 inch$

x = 14.2 inches (Approximated)

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3 years ago

What is 1.827 rounded to the nearest tenth

11Alexandr11 [23.1K]

Answer:

1.8

Step-by-step explanation:

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3 years ago

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