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2 years ago

I WILL GIVE BRAINLIESTTT

Mathematics

1 answer:

larisa [96]2 years ago

8 0

Answer:using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)

Step-by-step explanation:it’s a

b. The function f(x)=g(x)/h(x) will have a horizontal asymptote only if the degree of g is less than or equal to the degree of h.

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What is the area of the shaded region below?

vaieri [72.5K]

Answer:

Step-by-step explanation:

Remark

The triangle with the shaded region makes exactly 1/4 of the entire circle. So the plan is to find the area of the circle and divide by 4. That gives you the area of the triangle and the shaded region. Then you find the area of the triangle and subtract it from what you just found.

Area of the circle

Area of the circle = pi * r^2

r = 12 cm

pi = 3.14

Area of the circle = 3.14 * 12^2

Area of the circle = 3.14 * 144

Area of the circle = 452.16 cm^2

Area of 1/4 of the circle

Area of 1/4 of the circle = (1/4)*452.16

Area of 1/4 of the circle = 113.04

Area of the triangle

b = r

h = r

b = 12 cm

h = 12 cm

Area = 1/2 b * h

area = 1/2 * 12 * 12

area = 72

Area of the shaded part

Shaded part = area of 1/4 of the circle - area of triangle

Area shaded part = 113.04 - 72 = 41.04

Answer area of shaded part = 41.04

7 0

3 years ago

If AB is parallel to CD and the slope of CD is -5 what is the slope of AB

lubasha [3.4K]

The slope of AB is also -5. This is because parallel lines have equal slopes.

5 0

3 years ago

Read 2 more answers

Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).

marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

$A=\frac{3\sqrt{3}}{2} a^2$

Where $A$ is the area of the regular hexagon

$a$ is the side length of the regular hexagon

Also, it's Perimeter is given by:

$P=6a$

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Where $d$ is the distance.

$(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance $d$ )

Applying the above formula we get:

$d=\sqrt{(8-4)^2+(0-0)^2} =\sqrt{4^2}=4$

$\therefore d=4$

We know that this distance is the side length of the given regular hexagon.

$\therefore d=a=4$

Now, if the sides of the given regular polygon are reduced by 40%, then the new length of the sides will be:

$a_{small}=4-\frac{40}{100}\times 4=2.4$

Thus, the area of the smaller hexagon will be:

$A_{small}=\frac{3\sqrt{3}}{2} a_{small}^2=\frac{3\sqrt{3}}{2} (2.4)^2\approx14.96$ unit squared

and the new smaller perimeter will be:

$P_{small}=6a_{small}=6\times 2.4=14.4$ unit

Which are the required answers.

5 0

4 years ago

Find the exact length of the third side. 12 9

alexandr402 [8]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The mean work week for engineers in start-up companies is claimed to be about 63 hours with a standard deviation of 5 hours. Kar

Phantasy [73]

Answer:

a. Mean

b. μ = μ₀

c. 11.5%

d. Yes

Step-by-step explanation:

The given parameters are;

The mean work week for engineers, μ₀ = 63 hours

The standard deviation, σ = 5 hours

The number of engineers in Kara's sample, n = 10 engineers

The responses given by the 10 engineers are;

70; 45; 55; 60; 65; 55; 55; 60; 50; 55

a. The given information which the newly hired is hoping to find out that it is not is the mean

b. The null hypothesis which is that the company claim is correct, is therefore;

Null hypothesis, H₀; μ = μ₀ = 63 hours

c. Kara's mean, $\overline x$ is found as follows;

$\overline x$ = (70 + 45 + 55 + 60 + 65 + 55 + 55 + 60 + 50 + 55)/10 = 57

$\overline x$ = 57 hours

The Z-score is therefore;

$Z=\dfrac{\overline x-\mu }{\sigma }$

Z = (57 - 63)/5 = -1.2

From the Z-table, we have;

The p-value for P( $\overline x$ ≤ 57) = P(Z ≤ -1.2) = 0.11507

The probability as a percentage given to one decimal place, that the mean would be as low as Kara's mean, P( $\overline x$ ≤ 57) = 11.5%

d. Given that the percent percentage chance (11.5%) that the mean could be as low as hers ( $\overline x$ = 57 hours) is higher than 10%, she should accept the claim.

3 0

3 years ago