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Novay_Z [31]
2 years ago
8

Kenneth drove 194.3 miles in hours. What was his average speed?

Mathematics
1 answer:
Tems11 [23]2 years ago
6 0

Answer:

194.3 miles/h

Step-by-step explanation:

avarage speed = total distanse/total time

194.3/1

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A line passes through the point (-6,4) and has a slope of 5/2
matrenka [14]
The equation in slope intercept for is y = 5/2x + 4

The y intercept is 4
6 0
2 years ago
100 POINTS + BRAINLIST
mojhsa [17]

Problem 1

Since point P is the tangent point, this means angle OPT is a right angle

angle OPT = 90 degrees

Let's use the Pythagorean theorem to find the missing side 'a'

a^2 + b^2 = c^2

a^2 + 7^2 = 12^2

a^2 + 49 = 144

a^2 = 144 - 49

a^2 = 95

a = sqrt(95)

a = 9.7467943

a = 9.7

----------------

Let's use the sine and arcsine rule to find angle y

sin(angle) = opposite/hypotenuse

sin(y) = 7/12

y = arcsin( 7/12 )

y = 35.6853347

y = 35.7

The value of y is approximate. Make sure your calculator is in degree mode. Arcsine is the same as inverse sine or \sin^{-1}

====================================================

Problem 2

Focus on triangle OHP. This may or may not be a right triangle. The goal is to test if it is or not.

We use the converse of the Pythagorean theorem to check.

Recall that the converse of the Pythagorean theorem says: If a^2+b^2 = c^2 is a true equation, then the triangle is a right triangle. The value of c is always the longest side. The order of a and b doesn't matter.

In this case we have

  • a = 7
  • b = 13
  • c = 16

Which leads to

a^2 + b^2 = c^2

7^2 + 13^2 = 16^2

49 + 169 = 256

218 = 256

We get a false equation at the end, since both sides aren't the same number, which means the original equation is false.

We don't get a^2 + b^2 = c^2 to be true, therefore this triangle is not a right triangle.

Consequently, this means angle OPH cannot possible be 90 degrees (if it was then we'd have a right triangle). Therefore, point P is not a tangent point.

You follow the same basic idea for triangle OQH and show that point Q is not a tangent point either. Or you could use a symmetry argument to note that triangle OPH is a mirror reflection of triangle OQH over the line segment OH. This implies that whatever properties triangle OPH has, then triangle OQH has them as well for the corresponding pieces.

7 0
2 years ago
Read 2 more answers
Plz plz help fast <br> I will mark Brainlyist
Licemer1 [7]

Answer:

forgive me i need points

Step-by-step explanation:

7 0
2 years ago
For every $20 that Danika saves, her grandmother gives her $30. If Danika saves $150, how much money will her grandmother give h
Colt1911 [192]
The answer is 225 dollars because you divide 150/20=7.5 then multiply 7.5(30) and you get 225
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2 years ago
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PLZ HELP ASAP!
34kurt
<span>To evaluate the given expression, we need the values of each variable and substitute these values to the expression. Then, go on with the operations involved.

</span>4x - y - 2z
4(-2) - (3) - 2(-2)
-8 - 3 + 4
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3 years ago
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