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Mkey [24]
3 years ago
10

A right triangle has an area 18 square inches.

Mathematics
1 answer:
rewona [7]3 years ago
7 0
The area of any triangle is             A = (1/2) (base) (height).

If the right triangle is not sitting
on its hypotenuse, then one leg
is the base, and the other leg is
the height:                                      A = (1/2) (base leg) (height leg) .

If the triangle is isosceles, then
the legs are equal:                        A = (1/2) (either leg)²

You said the area is 18 in²:          18 in² = (1/2) (leg²)

Multiply each side by 2 :              36 in²  =  leg²

Square root each side:                  6 in   =  leg
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GRAPH :

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Solve X^4=4^X assist by solving for value of x​
Anton [14]

Answer:

  x ∈ {−0.766664695962, 2, 4}

Step-by-step explanation:

The equation is a combination of polynomial and exponential functions. There are no algebraic methods for solving such an equation. Graphical and iterative methods work nicely, though.

The attached graph shows integer solutions at x=2 and x=4. There is also an irrational negative solution near x = −0.766664695962. The latter was found by using Newton's method iteration on the graphical value of -0.767.

6 0
3 years ago
Read 2 more answers
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS
Contact [7]

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive terms

r = 24 ÷ 16 = 36 ÷ 24 = 54 ÷ 36 = 1.5 = \frac{3}{2}

This indicates the sequence is geometric with nth term ( explicit formula )

f(n) = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 16 and r = \frac{3}{2} , then

f(n) = 16 (\frac{3}{2}) ^{n-1} → C

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