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3 years ago

Degree and Radian Measures

Mathematics

1 answer:

insens350 [35]3 years ago

4 0

Answer:

C. 216°

Step-by-step explanation:

I calculated it logically

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Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$

And the slope of the second line is ,

$\sf\longrightarrow Slope_2 =\dfrac{-6}{a}$

Step 3: Multiply the slopes :-

$\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1$

Multiply ,

$\sf\longrightarrow \dfrac{-9}{a}= -1$

Multiply both sides by a ,

$\sf\longrightarrow (-1)a = -9$

Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

Hence the value of a is 9 .

8 0

2 years ago

Fazio chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that f

Natalka [10]

Answer:

4% probability that fazio selects a striped jersey both times.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

For each jersey, there are 2+5+3 = 10 possible options, two of which are striped.

So twice 2/10

$p = (\frac{2}{10})^{2} = \frac{4}{100}$

4% probability that fazio selects a striped jersey both times.

5 0

3 years ago

A circular race track has a radius of 200 feet a car drives 50 laps around the track approximately how many miles does the car t

bazaltina [42]

Answer:

11.9 miles

Step-by-step explanation:

The length of the track is ...

C = 2πr = 2π(200 ft) = 400π ft

Then the length of 50 laps will be ...

50C = 50·(400π ft) = 20,000π ft ≈ 62,831.9 ft

The number of miles (m) this is can be found from ...

m(5280 ft) = 62,831.9 ft

m = 62,831.9/5280 ≈ 11.90 . . . . miles

50 laps is about 11.9 miles.

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3 years ago

Mark scored 138 points in 6 games. How many points did he score per game?

WINSTONCH [101]

Answer:

23 Points

Explanation:

7 0

3 years ago

Read 2 more answers

Cho hình thang ABCD vuông tại A và D cho biết AD=20 AC=52 và BC=29 Tính độ dài AB

Travka [436]

Answer:

https://sooddan.zendesk.com

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3 years ago