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2 years ago

5

Math test. pick abc or d !!

1 answer:

Fynjy0 [20]2 years ago

7 0

Answer:

D

Step-by-step explanation:

D is your answer

.............

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If the team’s average time is less than one minute per leg, then the eighth graders earn 50 points. If not, the seventh graders

White raven [17]

Answer:

the seventh grader because the eighth graders got 58 which is more than 50 so the 7th grader would get the pts

Step-by-step explanation:

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2 years ago

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The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65°E and the two towers are 30 kilometers apart. A

Novay_Z [31]

Answer:

The distance of fire from Pine Knob fire tower is 42.43 km

The distance of fire from Colt Station fire tower is 15.53 km

Step-by-step explanation:

Consider point A as Pine Knob fire tower and Point B as Colt Station fire tower. So the distance between both towers that is AB is 30 km.

Now both fire tower are located at a bearing of N65°E. That is at point A from north, Colt station fire tower is located at an angle of 65° towards east.

From ranger on Pine knob tower, fire spotted makes bearing of N80°E. That is at point A from north fire is located at an angle of 80° towards east.

Similarly, from ranger on Pine knob tower, fire spotted makes bearing of S70°E. That is at point B from south fire is located at an angle of 70° towards east.

Now calculate $\theta_{1}=\angle BAC$ and $\theta_{2}=\angle ABD$ as follows,

For $\theta_{1}=\angle BAC$

$\angle XAC=\angle XAB+\angle BAC$

$\therefore 80\degree=65\degree+\angle BAC$

$\therefore \angle BAC=15\degree$

For $\theta_{2}=\angle ABD$

By using alternate angle property,

$\ angle XAB =\angle ABD=65\degree$

Refer attachment 1.

From diagram consider the triangle ABC. To find the third angle that is \angle BAC can be calculated by using angle sum property of triangle.

$\angle BAC+\angle ABC+\angle BCA=180\degree$

$\therefore15\degree +135\degree +\angle BCA=180\degree$

$\therefore \angle BCA=30\degree$

Refer attachment 2.

Sine rule for the $\Delta ABC$ can be applied as follows,

$\ddfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

Substituting the values,

$\dfrac{\sin 15}{a}=\dfrac{\sin 135}{b}=\dfrac{\sin 30}{30}$

Now distance AC and BC can be calculated as follows,

For distance AC,

$\dfrac{\sin 135}{b}=\dfrac{\sin 30}{30}$

Cross multiplying,

$30\times\sin 135=b\times\sin 30$

$\dfrac{30\times \sin 135}{\sin 30}=b$

$b=42.43\:km$

The distance of fire from Pine Knob fire tower is 42.43 km

For distance BC,

$\dfrac{\sin 15}{a}=\dfrac{\sin 135}{42.43}$

Cross multiplying,

$42.43\times\sin 15=a\times\sin 135$

$\dfrac{42.43\times \sin 15}{\sin 135}=a$

$a=15.53\:km$

The distance of fire from Pine Knob fire tower is 15.53 km

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2 years ago

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It would trend continues how much it would be in shoes

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1 year ago

What is 24 over 20 in mixed numbers or whole numbers?

Darya [45]

The answer is 1 whole number, 1 over 5

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2 years ago

Three consecutive integers have a sum of 51. Find the integers.

Korolek [52]

Answer:

16, 17, 18

Step-by-step explanation:

Let's call the first of the consecutive numbers n. So the three numbers can be expressed as n, n+1, n+2

The sum of these is 51 so:

n+n+1+n+2=51

3n+3=51

3n=48

n=16

From here we can see the other two numbers are 17 and 18.

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2 years ago

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