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3 years ago

In circle B with the measure of minor arc AC= 84°, find m

Mathematics

1 answer:

ELEN [110]3 years ago

3 0

Answer:

m<ADC = 42°

Step-by-step explanation:

Based on the inscribed angle theorem, the inscribed angle, m<ADC is ½ the measure of minor arc AC.

If minor arc is given as 84°, therefore:

m<ADC = ½(84)

m<ADC = 42°

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Train a travel 175 miles in a four hours. for train b y=43.5x represents its rate of speed over the same 4 hours which train tra

stepan [7]

Answer:

Train A is faster by a factor of 1.01

Step-by-step explanation:

Given:

Train A:

Distance = 175 Miles

Time = 4 Hours

Train B:

y=43.5x

To Find:

which train travels at a faster rate in by what factor =?

Solution:

The speed of the train A = $\frac{Distance}{time}$

The speed of train A = $\frac{175}{4}$

The speed of train A = 43.75 miles per hour

Speed of the train B is the slope of the given line

The standard equation of the slope of the line is

y = mx+b

where m is the slope

and we are given with

y = 43.5x

So comparing with the standard equation

m = 43.5

Hence the speed of train B is 43.5 miles per hours

Train A travels faster

$Rate =\frac{\text{speed of train A}}{\text {Speed of train B}}$

$rate = \frac{43.75}{43.5}$

rate =1.01

7 0

3 years ago

You are dealt one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled, and you draw again. Fin

AlladinOne [14]

Answer:

3/52

Step-by-step explanation:

The picture card are j,q k and there are 4 of each so there are 12 picture cards

P( picture card) = picture card/ total

12/52 = 3/13

Then replace the card

There are 13 clubs

P( club) = club/ total

13/52 = 1/4

P(picture,replace,club) = 3/13*1/4 = 3/52

7 0

3 years ago

Simplify the expression. <br><br> 5(x - z) + 4(y - x)

Pepsi [2]

5x-5x+4y-4x i believe

5 0

3 years ago

At the store for every 6 books sold there were 5 movies sold. What is the ratio of books sold to movies sold?

tatyana61 [14]

Answer:

6,5

Step-by-step explanation:

6 + 5 = 11

6 to 5

6,5

3 0

3 years ago

What quadratic equation could be solved to find any solutions to the system of equations?

Kipish [7]

Answer:

Step-by-step explanation:

x²+7x-11=-5x+6

x²+7x+5x-11-6=0

x²+12x-17=0

$x=\frac{-12\pm \sqrt{12^2-4*1*(-17)} }{2*1} \\=\frac{-12 \pm \sqrt{144+68} }{2} \\=\frac{-12 \pm \sqrt{212}}{2} \\=\frac{-12+2\sqrt{53}}{2}\\=-6 \pm \sqrt{53}$

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3 years ago