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Karo-lina-s [1.5K]
2 years ago
5

Which unit of measurement is the best unit to be used in measuring the weight of an adult?

Mathematics
1 answer:
telo118 [61]2 years ago
8 0
Pounds. this is the unit that i commonly see around when people discuss their weights
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Cuanto es (4x+5)(4x+5)
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Step-by-step explanation:

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You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo o
Lorico [155]

Answer:

9.

Step-by-step explanation:

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.            

First of all we will convert dimensions of poster from feet to inches.

3\text{ feet}=3\times 12 \text{ inches}=36\text{ inches}

4\frac{1}{2}\text{ feet}=4.5\times 12 \text{ inches}=54\text{ inches}

Now let us compare sides of our original photo with corresponding sides of poster.

\frac{36}{4} =9          

Now let us compare the second pair of corresponding sides.

\frac{54}{6} =9

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.      

5 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
3 years ago
Solve Ax+Hy=K for x<br> Help!
denis23 [38]

Answer:

x = -\frac{Hy + K}{A}

Step-by-step explanation:

Step 1: Add -Hy to both sides.

  • Ax + Hy - Hy = K - Hy
  • Ax = -Hy + K

Step 2: Divide both sides by A.

  • \frac{Ax}{A} = \frac{-Hy+K}{A}
  • x = -\frac{Hy+K}{A}
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