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2 years ago

The measure of an angle is 62.9 What is the measure of a complementary angle?

1 answer:

6 0

By definition, complementary angles are "two angles whose sum is equal to 90 degrees." This can be expressed using the following formula:

(Angle 1) + (Angle 2) = 90

Substitute any known values into the equation:

62.9 + (A2) = 90

Subtract 62.9 from both sides if the equation:

A2 = 27.1

The measure of the complementary angle (A2) is 27.1 degrees.

I hope this helps!

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Which statements accurately describe the function f(x) = 3(16) Superscript three-fourths x? Select three options.

zzz [600]

Answer:

The initial value is 3.

The range is y greater than 0.

The simplified base is 8.

Step-by-step explanation:

The given function is $f(x) = 3(16)^{\frac{3}{4}x }$ ......... (1)

Therefore, the initial value of the function at x = 0 is $f(0) = 3(16)^{0} = 3$

Now, the domain can be any real value, since for all real value of x, y exists.

But, for no value of x the function has value < 0.

Therefore, y greater than 0 is the range of the function f(x).

Now, simplifying the equation (1) we will have

$f(x) = 3(16)^{\frac{3}{4}x } = 3(16^{\frac{3}{4} } )^{x} = 3(8)^{x}$

Therefore, the simplified base is 8. (Answer)

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2 years ago

Read 2 more answers

12. A cyclist travels 40 km at a speed of x km/h. Find the time

GREYUIT [131]

Answer:

Step-by-step explanation:

distance = rate times time, so

distance

time = --------------

rate

Here the distance is 40 km and the rate is x. Then

40 km

time = -------------- = (40/x) hr

x km/hr

If the speed is reduced by 2 km/hr, we get:

40 km 40 km 40

time = ------------------------------- or time = ----------------------- = --------- hr

(x km/hr - 2 km/hr) (x - 2) (km/hr) x - 2

The difference between the times is:

40 40

-------- - --------- = 1 hr Solve this for the original speed, x

x - 2 x

40x - 40x + 80 80

----------------------- = 1 hr or ------------ = 1 or 80 = x^2 - 2x

x(x - 2) x(x - 2)

Rewriting this in standard quadratic form: x^2 - 2x - 80 = 0

Here a = 1, b = -2 and c = -80, and so the discriminant b^2 - 4ac is:

(-2)^2 - 4(1)(-80) = 324

The solutions are:

-(-2) ± √324 2 ± 18

x = -------------------- = ------------ = 1 ± 9, or 10 (discard the other root)

2 2

The original speed was 10 km/hr

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1 year ago

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The flower shop has 40 times as many flowers in one cooler as Julia has in her bouquet. The cooler has 120 flowers. How many flo

kiruha [24]

The answer is 4,800 if u multiply 120x40

8 0

2 years ago

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In the evening you plan to travel to a different part of France. Look at the distance chart below.

True [87]

70 miles , 333.15km , average speed 112 kilometers/hours

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1 year ago

To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. The

kupik [55]

Answer:

The height of the building is 153.664 meter.

Step-by-step explanation:

Consider the provided function.

$s(t) = 4.9t^2 + v_0 t + s_0$

Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.

It is given that the splash is seen 5.6 seconds after the stone is dropped.

That means after 5.6 seconds height s(t) = 0, Also the initial velocity of the stone is 0.

Substitute respective values in the above function.

$0 = 4.9(5.6)^2 +5.6(0)+ s_0$

$0 = 4.9(31.36)+ s_0$

$s_0=-153.664$

As height can't be a negative number so the value of s₀ is 153.664.

Hence, the height of the building is 153.664 meter.

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2 years ago