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3 years ago

Find the exact value of arccos (sin (pi/6). Explain your reasoning.

1 answer:

4 0

We have to find the exact value of: arc cos ( sin ( π /6 ) ).
We know that:
sin ( π/6 ) = sin 30° = 1/2
Arc cos is the inverse function of cosine.
arc cos ( 1/2 ) = 60° = π/3

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The graph of function f is shown.

blsea [12.9K]

Answer:

B. Both functions are increasing, but function f is increasing faster.

6 0

3 years ago

Sara has agreed to help with her younger sister's science fair experiment. Her sister planted string beans in two pots. She is

Delvig [45]

Answer: plants are same height in 30 days; Plant A is tallest in 6 weeks

Step-by-step explanation:

x = number of days

4 + (2/3)x = 9 + (1/2)x

(2/3)x - (1/2)x = 9 - 4

(1/6)x = 5

x = 30, number of days for Plant A and Plant B to be same height.

6 wks = 42 days

Plant A in 42 days: 4 + (2/3)(42) = 32 inches

Plant B in 42 days: 9 + (1/2)(42) = 30 inches

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1 year ago

Arrange the slope values in order from least steep to most steep

polet [3.4K]

Answer:

0 => -⅘ => 1.5 => 3 => -4 => $-\frac{11}{2} (-5.5)$

Step-by-step explanation:

The greater the absolute value of a slope, the steeper the slope. By absolute value, we mean the non-negative value of tthe .

To arrange the slope values, from the least steep to the steepest, ignore the negative sign in any of the slope values.

Thus, in the order from the least steep to the steepest, we have:

0 => -⅘ => 1.5 => 3 => -4 => $-\frac{11}{2} (-5.5)$

The greater the absolute value of the slope, the greater the vertical movement. The greater the vertical movement, the steeper the slope.

A slope value of 0 connotes a horizontal line.

5 0

3 years ago

7. Isosceles triangle ABC is shown below with legs that measure 8 inches and a vertex angle of 50D. (a) Determine the area of AB

Flura [38]

Answer:

<h2>The area of the triangle ABC is 32 square inches.</h2>

Step-by-step explanation:

We know that the given triangle is a right-isosceles triangle, which means its leg are equal.

The area of a triangle is defined as

$A=\frac{1}{2}bh$

Where $b=8$ and $h=8$ . Replacing values, we have

$A=\frac{1}{2} \times 8 \times 8 = 32 \ in^{2}$

Therefore, the area of the triangle ABC is 32 square inches.

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3 years ago

Find the range of the given function y = 5x + 2, where x > -2.

andrew-mc [135]

Answer:

Its -3,2,7

Step-by-step explanation:

Simply put, you plug in all values greater than -2. Which is what thst function tells you.

8 0

3 years ago