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2 years ago

Find the exact value of cos A in simplest radical form

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

8 0

Answer:

cosA = 1/2

Step-by-step explanation:

cos = adj/hyp

cosA = 5 /10

cosA = 1/2

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The equation tan(55) = 15/b can be used to find the length of line AC.what is the length of line AC round to the nearest 10th 3.

Nadusha1986 [10]

Answer:

10.5 in

Step-by-step explanation:

Given

$tan(55) = \frac{15}{b}$

Required

Find length AC

The question is not detailed enough; so, I'll assume that b represents line AC.

Having said that;

We start by multiplying both sides by b

$tan(55) = \frac{15}{b}$

$b * tan(55) = \frac{15}{b} * b$

$b * tan(55) =15$

Divide both sides by tan(55)

$\frac{b * tan(55)}{tan(55)} = \frac{15}{tan(55)}$

$b = \frac{15}{tan(55)}$

Find tan(55)

$b = \frac{15}{1.42814800674}$

$b = 10.5031130731$

$b = 10.5$ <em>(Approximated)</em>

<em />

Length AC is 10.5

7 0

3 years ago

Read 2 more answers

Solve by square rooting : 3(X+2)^2:8

dolphi86 [110]

The value of x is √8/3 - 2

Step by step explanation:

The given equation is

3(x+2)^2=8

To find x,

(x+2)²= 8/3

By taking square root on both sides

x+2= √8/3

x=√8/3 -2

x= -0.37

Thus the square root for the given value is -0.37

3 0

3 years ago

Find the exact value of the given expression.<br> sin(2cos^-1(5/13))

xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

let $cos^{-1}[\frac{5}{13} ] = \alpha$

where, alpha is some angle that satisfies the assumed condition.

so, $cos\alpha= 5/13$

[ taking cos to the other side or applying cos on both sides]

now, substitute this in the given expression

$sin(2cos^-1(5/13)) = sin(2\alpha )$

as sin $\beta$ = $+ or -\sqrt{1-(cos\beta) ^{2}$

[by general trigonometry formula: $cos^{2}[\beta] +sin^{2}[\beta]=1$ ]

so if $cos\alpha= 5/13$ , we can get sin $\alpha$ from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

as, sin $2\beta = 2*sin[\beta ]*cos[\beta ]$

[by general trigonometry formula]

here, now $sin[2\alpha ]=2*(+or- 12/13)*5/13\\$

so, the final value can be 120/169 or -120/169.

4 0

3 years ago

Pls help asap!!!

wlad13 [49]

Answer:

negative 2.5

Step-by-step explanation:

It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.

4 0

2 years ago

Look at the given image. Which of the following statements, if true, would alone prove p || 4?

marissa [1.9K]

Answer

Explanation:

Congruence of these two angles directly implies p||q.

5 0

3 years ago