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4 years ago

If tan fº = 2/1 and the measure of yw is 8 units, what is the measure of xw?

Mathematics

1 answer:

erma4kov [3.2K]4 years ago

5 0

*see attachment for the figure referred to

Answer:

4 units

Step-by-step explanation:

Given that $tan(f) = \frac{2}{1}$ , therefore, it follows that:

$tan(f) = \frac{opp}{adjacent} = \frac{YW}{XW} = \frac{8}{XW}$ ,

If the ratio of YW to XW = 2:1, therefore, $\frac{2}{1} = \frac{8}{XW}$

Cross multiply to find XW

$XW*2 = 8*1$

$XW = \frac{8}{2} = 4 units$

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a motorboat travels 371 kilometers in 7 hours going upstream. it travels 525 kilometers going downstream in the same amount of t

e-lub [12.9K]

Answer:

Speed of boat in still water = 64 km/hr

Speed of the current = 11 km/hr

Step-by-step explanation:

Let the speed of motorboat in still water = x km/hr

Let the speed of current = y km/hr

Motorboat travels 371 km in 7 hours going upstream.

Speed of motorboat while going upstream = speed of motorboat in still water - speed of current = (x-y)

=> $x-y = \frac{371}{7}$

=> $x-y = 53$ ------------------------------(1)

Motorboat travels 525 km in 7 hours going downstream.

Speed of motorboat while going downstream = speed of motorboat in still water + speed of current = (x+y)

=> $x+y = \frac{525}{7}$

=> $x+y = 75$ -----------------------------(2)

Solving for x and y from (1) and (2):

Adding (1) and (2):

2x = 128

=> x = 64

Substituting the value of x in (1), y = 11

6 0

3 years ago

What is cos 45º?...........

Alenkinab [10]

Answer:

$\frac{1}{\sqrt{2} }$

Step-by-step explanation:

Cosine (cos) is adjacent by hypotenuse. $\frac{adjacent}{hypotenuse}$

In any of the 45° angles, 1 is adjacent and √2 is the hypotenuse.

So arrange them to get $\frac{1}{\sqrt{2} }$

5 0

3 years ago

Which of the following is true about the relationship between the slopes of the lines whose equations are 8x - 9y = 5 and 9x - 8

AlexFokin [52]

The answer is they are reciprocal.

(1) Express both equations in the slope-intercept form: y = mx + b, where m is slope:
 8x - 9y = 5
9y = 8x - 5
y = 8/9x - 5/9
m1 = 8/9

9x - 8y = 1
8y = 9x - 1
y = 9/8x - 1/8
m2 = 9/8

So, m1 = 8/9 and m2 = 9/8. They are reciprocal

3 0

3 years ago

Read 2 more answers

Suppose that the lifetime of tv tubes are normally distributed with a standard deviation of 1.1 years. Suppose that exactly 20%

IrinaK [193]

Answer:

4.924 years

Step-by-step explanation:

Lets denote X the lifetime of a tv tube (In years). X has distribution $N(\mu, 1.1)$ , with $\mu$ unknown.

We know that P(X < 4) = 0.2. Using this data, we can find the value of $\mu$ throught standarization.

Lets call $Z = \frac{X - \mu}{1.1}$ the standarization of X. Z has distribution N(0,1), and its cummulative function, $\phi$ is tabulated. The values of $\phi$ can be found in the attached file.

$P(X < 4) = P(\frac{X - \mu}{1.1} < \frac{4 - \mu}{1.1}) = P(Z < \frac{4 - \mu}{1.1}) = \phi(\frac{4 - \mu}{1.1}) = 0.2$

The value q such that $\phi (q) = 0.2$ doesnt appear on the table. We can find it by using the symmetry of the normal density function. The opposite of q, -q must verify that $\phi(-q) = 0.8$ , hence -q must be equal to 0.84. Thus, q = -0.84