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3 years ago

A number between

Mathematics

2 answers:

Dvinal [7]3 years ago

8 0

90 15 goes into 90 10 goes into 90 and 5 goes into 90

inessss [21]3 years ago

4 0

90 is the answer to that question

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What is 2 thirds of 60

Mkey [24]

You have to set up a proportion so 2 over 3= x over 60. So multiply 2 times 60= 120 divided by 3 which is 40

6 0

3 years ago

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

Find the coefficient:

guapka [62]

Answer:

1/3

Step-by-step explanation:

Ask me in the comments of you need an explanation.

3 0

3 years ago

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For a school project, Sarah plans to build a scale model of an Egyptian pyramid. She will be using a scale of: 1 cm = 5 meters.

Vinvika [58]

Answer:

Step-by-step explanation:

you divide 140 by 5 so 28 is the answer

3 0

3 years ago

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Determine the surface area of a rectangular prism with length 1.5 feet, width 7 feet, and height 6.2 feet. 16.7 square feet 63.2

aleksklad [387]

126.4 I guess.... How you wrote it is a tad confusing. Is the second set of numbers another question?

6 0

3 years ago