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valentinak56 [21]
3 years ago
14

If h has an inverse funtion and h^-1 (4) = 2 , find h(-2) Please help Thanks!

Mathematics
1 answer:
mestny [16]3 years ago
3 0

You're given that h^{-1}(4)=2, which means h(2)=4. But this tells you nothing about h(-2)...

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ACD is a triangle and B is a point on AC. AB = 8cm and BC is 6cm. Angle BCD = 48° and angle BDC = 50°. (a) Find the length of BD
FromTheMoon [43]

Answer:

  • 5.8206 cm
  • 10.528 cm
  • 23.056 cm^2

Step-by-step explanation:

(a) The Law of Sines can be used to find BD.

  BD/sin(48°) = BD/sin(50°)

  BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm

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(b) We can use the Law of Cosines to find AD.

  AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°

  AD^2 ≈ 110.841

  AD ≈ √110.841 ≈ 10.5281 . . . cm

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(c) The area of ∆ABD can be found using the formula ...

  A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°

  A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2

_____

Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.

5 0
3 years ago
A table is 4 ft high. A model of the table is 6 in. high. What is the ratio of the height of the actual table to the height of t
Sliva [168]

Answer:

8:1

Step-by-step explanation:

the actual table's height in inches is 4*12 = 48 inches.

48/6 = 8

so the ratio is 8:1.

5 0
3 years ago
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The owner of a used car lot wants to buy many cars at an auction as he can while not spending more than $20000. If he expects th
AleksAgata [21]

Answer:

5

Step-by-step explanation:

Given that:

Total maximum amount that the owner wishes to spend = $20000

Average price of each car = $4000

To find:

How many cars that the owner can expect to buy?

Solution:

Total number of cars that the owner can expect to buy can be found by dividing the total money available with the owner with the average price of each car.

i.e.

\text{Number of cars expected to be bought} = \dfrac{\text{Total money available with the owner}}{\text{Average Price of car}}

We have the following values as given in the question statement:

Total money available = $20000

Average price of car = $4000

Therefore, the answer is:

\text{Number of cars expected to be bought} = \dfrac{20000}{4000} = \bold{5}

The owner can expect to buy 5 number of cars.

7 0
2 years ago
Solve 22 + 111 times 12
denis-greek [22]

Answer:

1354

Step-by-step explanation:

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2 years ago
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Which choices are equivalent to the expression below? √14 x √10
Nataly [62]

Answer:

11.8321595662

Step-by-step explanation:

thats all I know

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