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3 years ago

Help!!!!!!!!!!!!!!! Please

Mathematics

1 answer:

Nonamiya [84]3 years ago

7 0

Answer:

58.995 round to the nearest whole number is 59 miles per hour

Step-by-step explanation:

1 kilometer/hr = 0.62 miles per hour

Therefore 100 km/hr = 100 × 0.621

= 62 miles per hour

95 km/hr = 95 × 0.621

= 58.995 miles per hour

58.995 round to the nearest whole number is 59 miles per hour

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Find the variable x in the figure if AB ll CD ll EF where c and d are the midpoints of AE and BF.

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CD is called the middle base and is equal to :(AB + EF)/2

CD = (AB + EF)/2

4x = [(x²+10) + (8-x)]/2

8x = x²+10+8-x

8x= x²-x+18
x²-9x+18 = 0

x' = [-b+√(b²-4.a.c)]/2a & x" = [-b-√(b²-4.a.c)]/2a

x'= 6 and x" = 3, So we have2 values of x

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Use f(x) = 1/2 x and f-^1(x) = 2x to solve the problems. f(2) = f(1) = f-^1 (F2)) =

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3 years ago

The circumference of a circle is 147 cm. What is the radius of the circle?

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4 0

3 years ago

20 POINTS HELPPPPP

kiruha [24]

For this case we have the following expression:

$\frac {216 ^ {n-2}} {(\frac {1} {36}) ^ {3n}} = 216$

We multiply both sides by: $(\frac {1} {36}) ^ {3n}$

$216 ^ {n-2} = 216 * (\frac {1} {36}) ^ {3n}$

We divide both sides by 216:

$\frac {216 ^ {n-2}} {216} = (\frac {1} {36}) ^ {3n}$

To divide powers of the same base, we place the same base and subtract the exponents:

$216 ^ {n-2-1} = (\frac {1} {36}) ^ {3n}\\216 ^ {n-3} = (\frac {1} {36}) ^ {3n}$

Rewriting:

$(6 ^ 3) ^ {n-3} = (\frac {1} {6 ^ 2}) ^ {3n}\\6 ^ {3n-9} = \frac {1} {6 ^ {6n}}\\6^{ 3n-9} * 6^{ 6n} = 1$

To multiply powers of the same base, we place the same base and add the exponents:

$6^{ 3n-9 + 6n} = 1\\6^{ 9n-9} = 1$

We know that any number raised to zero is 1, $a ^ 0 = 1.$

So, for equality to be true:

$9n-9 = 0\\9n = 9\\n = \frac {9} {9}\\n = 1$

Answer:

$n = 1$

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