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gayaneshka [121]

3 years ago

13

A gear rotates one degree each second. If it rotates for 2 minutes, how many degrees will it measure

1 answer:

Lady_Fox [76]3 years ago

7 0

Asked and answered elsewhere.
brainly.com/question/8943668

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David made a scale model of the Sam Houston Statue. The statue has an actual height of 67 feet. David's model used a scale in wh

Y_Kistochka [10]

Answer:

6.7 inches

Step-by-step explanation:

the statue is 67 feet tall, and in the replica, every inch is 10 feet. All you would need to do is move the decimal point to the left by one point.

7 0

3 years ago

The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m

Keith_Richards [23]

Answer:

a) $\left(x,y\right)=\left(4.95,-4.95\right)$

b) $r\angle\theta = 7\angle0.5236\,\text{radians}$

Step-by-step explanation:

Polar coordinates are represented as: $r\angle\theta$ , where 'r' is the length (or magnitude) of the line, and ' $\theta$ ' is the angle measured from the positive x-axis.

in our case:

$7\angle\dfrac{3\pi}{4}$

to covert the polar to cartesian:

$x = r\cos{\theta}$

$y = r\sin{\theta}$

we can plug in our values:

$x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}$

$y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}$

the Cartesian coordinates are:

$\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)$

$\left(x,y\right)=\left(4.95,-4.95\right)$

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

$r^2 = x^2+y^2$

$r^2 = (6.06)^2+(-3.5)^2$

$r = \sqrt{48.97} \approx 7$

the angle can be found by:

$\tan{\theta} = \dfrac{y}{x}$

$\tan{\theta} = \dfrac{3.5}{6.06}$

$\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}$

$\theta = 0.5236 \text{radians}$

to convert radians to degrees:

$\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ$

writing in polar coordinates:

$r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}$

5 0

3 years ago

ANSWER FOR BRAINLIEST:

Feliz [49]

B because the center of data is best measured by the median when there are outliers, and 42 is an outlier in this set.

5 0

3 years ago

Dara has 12 red counters. She has 7 more red counters than yellow counters. How many yellow counters does Dara have?

pantera1 [17]

12 red counters

7 more red counters than yellow counters

12 - 7 = 5 yellow counters

Dara has 5 yellow counters.

5 0

3 years ago

Read 2 more answers

Whatia the slops of the lime through (-2,16) and (2,2)

Tresset [83]

The answer would be B) 2.

8 0

3 years ago