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3 years ago

In tan A = 7/9 the measure of

Mathematics

1 answer:

TiliK225 [7]3 years ago

8 0

If the tangent of angle 'A' is 7/9 , then
angle 'A' is either 37.87° or 217.87°.

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The graph below represents the function f.

OLEGan [10]

Answer: А.

The function f intersects the x-axis at two points, and the function g never intersects the x-axis.

Step-by-step explanation:

In the graph we can see f(x), first let's do some analysis of the graph.

First, f(x) is a quadratic equation: f(x) = a*x^2 + b*x + c.

The arms of the graph go up, so the leading coefficient of f(x) is positive.

The vertex of f(x) is near (-0.5, -2)

The roots are at x = -2 and x = 1. (intersects the x-axis at two points)

Now, we know that:

g(x) has a positive leading coefficient, and a vertex at (0, 3)

As the leading coefficient is positive, the arms go up, and the minimum value will be the value at the vertex, so the minimum value of g(x) is 3, when x = 0.

As the minimum value of y is 3, we can see that the graph never goes to the negative y-axis, so it never intersects the x-axis.

so:

f(x) intersects the x-axis at two points

g(x) does not intersect the x-axis.

The correct option is A.

6 0

3 years ago

A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40

shepuryov [24]

Answer:

Step-by-step explanation:

The recommended sample size n for point estimates is:

n = NX / (N + X - 1)

where N is the population size, and X is defined as:

X = Z² p (1 - p) / E²

where Z is the critical value, p is the sample proportion, and E is the margin of error.

Assume a confidence level of level of 95% and a margin of error of 5%.

α = 0.05, Z(α/2) = 1.96

E = 0.05

Of the 40 units tested, 2 had lifespans less than 26 days. So the proportion is:

p = 2/40 = 0.05

Therefore:

X = (1.96)² (0.05) (1 - 0.05) / (0.05)²

X = 73

Given N = 2000:

n = (2000) (73) / (2000 + 73 - 1)

n = 70.45

Rounding, the recommended sample size is 70.

5 0

4 years ago

Read 2 more answers

7x=5+5x x equals what

dybincka [34]

7x=5+5x

x=5/2

It could also be 2 1/2

3 0

3 years ago

The world brand of rivet placement is 11209 rivets in 9 hours and belongs to J. Mair of Ireland. If another person places 11209

Ilya [14]

Answer:

4.74 hours

Step-by-step explanation:

Given that both person have to place same number of rivets that is

11209

first person take 9 hours to complete the work

hence 1 hour work of 1st person is $\frac{1}{9}$ of total work

second person takes 10 hours to complete the same work

hence 1 hour work of 2nd person is $\frac{1}{10}$

Now if both work together then

1 hour work of both person = $\frac{1}{9} +\frac{1}{10}$ = $\frac{19}{90}$

thus working together they need $\frac{90}{19}$ hours = 4.74 hours to complete the whole work which is placing 11209 rivets

5 0

3 years ago

What is the value of X^2-4y/2 if x=4 and y=-3

Dominik [7]

To solve this, we just need to plug in the numbers.

4^2-4*3/2

Now solve!

4^2-4*3/2

16-4*9

16-36

-20

There's your answer!

Any questions?

3 0

4 years ago