All categories

3 years ago

Evaluate (tan 60)(cos 45)

Mathematics

2 answers:

lesantik [10]3 years ago

7 0

Answer:

$\sqrt{ \frac{3}{2} }$

Step-by-step explanation:

$\tan(60) \cos(45) = \sqrt{3} \times \frac{1}{ \sqrt{2} }$

$= \sqrt{ \frac{3}{2} } \:$

loris [4]3 years ago

4 0

Answer: the tan. Of 60 is .3200

The cos. Of 45 is .5253

Hope this helps :)

Step-by-step explanation:

You might be interested in

Graph the functions y=.05x

lisabon 2012 [21]

The slope is .05
the y intercept is 0

6 0

3 years ago

Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0

2 years ago

Read 2 more answers

WILL MARK BRAINLIEST IF CORRECT

Mrrafil [7]

Answer: C

Step-by-step explanation:

The x times 4 equals the y in each column.

4 0

3 years ago

Read 2 more answers

Find the missing side length. Show all work.<br> first right answer with right work gets 500 points

leva [86]

Answer:

$x=14 \tan 61^{\circ}$

Step-by-step explanation:

$\tan 61^{\circ}=\frac{x}{14} \\ \\ x=14 \tan 61^{\circ}$

4 0

1 year ago

I need this answered, hurry

adoni [48]

If I'm correct the answer would be C.) hope this help

8 0

3 years ago