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3 years ago

Use a calculator to find the approximate value of cos-1(0.78).

Mathematics

1 answer:

SOVA2 [1]3 years ago

7 0

Your answer is 0.67613050

Hope this helps and have a good day :)

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Given that answer please

neonofarm [45]

Answer:

<BCA = 44.4°

Step-by-step explanation:

Reference angle = <BCA = C

Opposite side length = x = 7 cm

Hypotenuse = y = 10 cm

Applying trigonometric ratio, we would have:

$sin(C) = \frac{7}{10}$

$C = sin^{-1}(\frac{7}{10})$

$C = 44.427004$

<BCA = 44.4° (to 3 SF)

5 0

3 years ago

When a bactericide is added to a nutrient broth in which bacteria are growing, the bacteria population continues to grow for a

baherus [9]

Answer:

a) 1296 bacteria per hour

b) 0 bacteria per hour

c) -1296 bacteria per hour

Step-by-step explanation:

We are given the following information in the question:

The size of the population at time t is given by:

$b(t) = 9^6 + 6^4t-6^3t^2$

We differentiate the given function.

Thus, the growth rate is given by:

$\displaystyle\frac{db(t)}{dt} = \frac{d}{dt}(9^6 + 6^4t-6^3t^2)\\\\= 6^4-2(6^3)t$

a) Growth rates at t = 0 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=0}= 6^4-2(6^3)(0) = 1296\text{ bacteria per hour}$

b) Growth rates at t = 3 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=3}= 6^4-2(6^3)(3) = 0\text{ bacteria per hour}$

c) Growth rates at t = 6 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=6}= 6^4-2(6^3)(6) = -1296\text{ bacteria per hour}$

3 0

4 years ago

Select the undefined term that best defines the arrow pictured<br><br> point<br> line<br> plane

MArishka [77]

The answer is B. Line.

That is because a point is just a dot and lane is represented by a rectangle or a parallelogram.

Hope this helps :)

7 0

3 years ago

Read 2 more answers

What is an equivalent mixed number for the decimal 16.3

ZanzabumX [31]

Answer:

The answer is 5 1/3 or five one thirds

3 0

4 years ago

The vertex parabola is (-2,-3) when the x value is -1 the y-value is -5 what is the coefficient of the squared expression in the

zhannawk [14.2K]

The equation can be written in vertex form as
y = a(x +2)² - 3
Substituting the given values, we can find the coefficient "a".
-5 = a(-1+2)² -3
-2 = a . . . . . . . . . add 3 and simplify

The coefficient of the squared term is -2.

4 0

4 years ago