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nata0808 [166]
2 years ago
12

It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.

Mathematics
1 answer:
damaskus [11]2 years ago
5 0

Answer:

55

Step-by-step explanation:

412.5 / 7.5 =55

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A student wants to know how far above the ground the top of a leaning flagpole is. At high​ noon, when the sun is almost directl
MariettaO [177]

Answer:

15.43 ft

Step-by-step explanation:

To solve this question, one should use the concept of similar triangles.

The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem.  Therefore, the distance of the top of the pole to the ground is:

14 in = 1.1667 ft

1.1667x=6*3\\x = 15.43

The distance of the top of the pole to the ground is 15.43 ft.

4 0
2 years ago
Franklin rides his bike to the beach averaging 18mph. He rides home along the same route. What speed must he average on the way
Sedaia [141]
  • <em>Answer:</em>

<em> 24 mph</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>Vm = 21mph</em>

<em>V1 = 18mph</em>

<em>V2 = ?</em>

<em>Vm = (V₁ + V₂)/2</em>

<em>2Vm = V₁ + V₂</em>

<em>V₂ = 2Vm - V₁</em>

<em>replace Vm ; V₁</em>

<em>V₂ = 2×21mph - 18mph</em>

<em>= 42mph - 18mph</em>

<em>= 24 mph</em>

<em>Good luck !</em>

8 0
2 years ago
The diagonals of kite ABCD intersect at E. If ∡EBC=30°, what is ∡BCE?
lukranit [14]

Answer:

∡BCE = 60

Step-by-step explanation:

Here, we want to find the angle marked BCE

From our diagram, the angle marked BCE is y

Looking at triangle BCE, we have the right angle, an angle measure of 30 and the angle marked y which we say is BCE

mathematically, the sum of all these will give 180 as the sum f the interior angles of a triangle is 180

Thus, we have that;

y + 30 + 90 = 180

y = 180-120

y = 60

8 0
1 year ago
What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio
aalyn [17]

Answer:

  StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction

Step-by-step explanation:

Apparently you want to simplify ...

  \sqrt{\dfrac{72x^{16}}{50x^{36}}}

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  1/a^b = a^-b

  (a^b)^c = a^(bc)

__

So the expression simplifies as ...

  \sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}

9 0
2 years ago
The price of your service plan before taxes is 89.99. For your convenience, I will deduct 15% off your service plan before taxes
Citrus2011 [14]
First, you must find how much $ the discount takes off
89.99 * .15
=13.4985

Subtract that from 89.99

=76.4915

If you estimate it,
$ 76.49
5 0
2 years ago
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