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3 years ago

11

Two joggers run 8 miles north and then 5 miles west what they is the shortest distance to the nearest tenths of a mile they must

travel to return to their starting point

1 answer:

balandron [24]3 years ago

8 0

Answer:

Step-by-step explanation:

Use pythagoras: a^2+b^2=c^2

so rearrange to b^2=a^2-c^2

so 8^2-5^2

64-25=39

Square root

square root of 39 is 6.2 miles is the answer

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Jamie takes at random a counter from the bag and records the colour. Red : blue : green = 1:3:7 Jamie does this a number of time

Sonbull [250]

Answer: There are 249 times Jamie takes a counter from the bag.

Explanation:

Since we have given that

Ratio of colour of red to blue to green is 1:3:7.

Number of blue counters = 68

Let the total number of times Jamie does from the bag be x.

So, According to question,

$\frac{3}{11}\times x=68\\\\x=\frac{11}{3}\times 68\\\\x=249.33\\\\=249\ approx.$

Hence, there are 249 times Jamie takes a counter from the bag.

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3 years ago

Point b has coordinates (-8,15) and lies on the circle whose equation is x^2+y^2=289. If an angles is drawn in standard position

Alenkinab [10]

Answer:

$\cos \theta=-\dfrac{8}{17}$

Step-by-step explanation:

Coordinates of Point b $=(-8,15)$

b lies on the circle whose equation is $x^2+y^2=289$

$x^2+y^2=17^2$

Comparing with the general form a circle with center at the origin: $x^2+y^2=r^2$

The radius of the circle =17 which is the length of the hypotenuse of the terminal ray through point b.

For an angle drawn in standard position through point b,

x=-8 which is negative

y=15 which is positive

Therefore, the angle is in Quadrant II.

$\cos \theta=\dfrac{Adjacent}{Hypotenuse} \\$Adjacent=-8\\Hypotenuse=17\\\cos \theta=\dfrac{-8}{17} \\\cos \theta=-\dfrac{8}{17}$

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2 years ago

Subract (8x+6)-(x+4)

NeX [460]

Step-by-step explanation:

8x + 6) - (x + 4)

8x + 6 - (x + 4)

8x + 6 - x - 4

7x + 2

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3 years ago

Does this have infinite solutions or no solutions?

Papessa [141]

Answer:

when they cross u should get a perfect solution of (2,6)

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2 years ago

Read 2 more answers

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expeople1 [14]

Answer:

There are 12 possible outcomes.

Step-by-step explanation:

For each of the three sizes of beverages, there are four flavors. So there are 3 * 4, or 12, possible outcomes.

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2 years ago