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Len [333]
3 years ago
15

A hovercraft takes off from a platform.

Mathematics
1 answer:
grigory [225]3 years ago
4 0

Answer:

  11 seconds

Step-by-step explanation:

The value of h(x) is zero when either of the factors is zero:

  x -11 = 0   ⇒   x = 11

  x +3 = 0   ⇒   x = -3

The solution x = -3 is not in the practical domain of the model, so the only reasonable solution is x = 11.

The hovercraft will land 11 seconds after takeoff.

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In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°, what is the measure of ∠Y?
Firdavs [7]

Answer:

C. 80°

Step-by-step explanation:

I believe it's 80 l

: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In this problem

Triangles EFG and YXZ are similar by AA Similarity Theorem

Because

m∠F ≅ m∠X  and m∠E ≅ m∠Y

Remember that in a triangle the sum of the interior angles must be equal to 180 degrees

so

m∠G ≅ m∠Z

we have

m∠E = 62°

m∠X = 80°

Remember that

m∠F ≅ m∠X

therefore

m\angle F = 80^om∠F=80o

7 0
3 years ago
The figure shows the dimensions of a metal sign. The shaded part of the sign is painted blue.
Sonja [21]

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

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to get the area of the shaded part, we need to calculate the area of the large triangle and subtract the area of the smaller triangle.

large area :

12 × 15 / 2 = 6 × 15 = 90 ft²

small area :

8 × 10 / 2 = 4 × 10 = 40 ft²

the shaded area is

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4 0
3 years ago
Rohit rides his bike 4 1/5 miles in 20 minutes. At this rate, how far can he bike in 1 hour?
Mila [183]
He can bike 12.6 miles
4 0
3 years ago
Read 2 more answers
What are inverted operations?​
Sunny_sXe [5.5K]

Answer:

The Definition of Inverse Operations

A pair of inverse operations is defined as two operations that will be performed on a number or. variable, that always results in the original number or variable. Another way to think of this is. that the two inverse operations “undo” each other.

Example: Addition and subtraction are inverse operations.

5 0
3 years ago
62 is 10 times larger than what?
NARA [144]
To find a number 10 times smaller than 62 simply move the decimal point one place to the left.

The decimal point in 62 is at the end of the number.    62. becomes 6.2 if we move the decimal one place back.
5 0
3 years ago
Read 2 more answers
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