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3 years ago

In the triangle below, determine the value of a.

Mathematics

1 answer:

dusya [7]3 years ago

5 0

Answer:

6.1

Step-by-step explanation:

Taking cos function,

Cos C=BC/AC

Cos 35°=5/a

a=5/cos 35°

a=6.1

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10 = |n| + 2

stealth61 [152]

Answer:

8 or -8

Step-by-step explanation:

Absolute value of n means that if n is a negative number, |-n| = n, so both 8 or -8 could be true here.

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3 years ago

Which statement is true about the graphs of the two lines y = –6 and x = 1/6 ?

Novay_Z [31]

They both intersect eachother

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3 years ago

Read 2 more answers

Which ones are proportional or non-proportional ?

castortr0y [4]

Answer:

3. proportional

4. non propotional

Step-by-step explanation:

When the graph of the linear relationship contains the origin, the relationship is proportional

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3 years ago

Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4

nasty-shy [4]

Part a)

a) The given function is

$f(x) = 3 \sin(2x)$

We let

$y = 3 \sin(2x)$

Interchange x and y.

$x= 3 \sin(2y)$

Solve for y;

$\frac{x}{3} = \sin(2y)$

$y = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

${f}^{ - 1}(x) = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

$- 3 \leqslant y \leqslant 3$

This is because the function is within y=-3 and y=3.

c) The range of

${f}^{ - 1} (x)$

$- \frac{ \pi}{4} \leqslant y \leqslant \frac{\pi}{4}$

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

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3 years ago

Given that 1/f = 1/u + 1/v , express u in terms of v and f

JulijaS [17]

Answer:

u = fv/(v - f)

Step-by-step explanation:

1/f = 1/u + 1/v

1/u = 1/f - 1/v = v/fv - f/fv = (v-f)/fv

1/u = (v-f)/fv

u = fv/(v - f)

5 0

3 years ago