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3 years ago

If in a triangle ac= 15 and angle abc=60 degrees what is ab?

Mathematics

1 answer:

marin [14]3 years ago

3 0

Answer:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property, sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property, sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 units

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The beer-lambert formula determines the intensity of light in water (measured in lumens) at a depth of x feet. find the intensit

Bezzdna [24]

Answer:

1.324 lumens

Step-by-step explanation:

The Beer-Lambert formula gives the intensity of light in water, at a certain depth x.

In this problem, the formula given is:

$Log_{10}\frac{I}{12}=-0.02735 x$

where

I is the intensity (in lumens)

x is the depth (in feet)

Here we are asked to find the intensity of light at a depth of

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Therefore, re-arranging the equation and substituting x = 32, we find:

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8 0

3 years ago

What is this pls help 3t+ 9 >= 15

Colt1911 [192]

Answer:

t >= 2.

Step-by-step explanation:

3t+ 9 >= 15

3t >= 15 - 9

3t >= 6

t >= 6/3

t >= 2.

4 0

3 years ago

Complete the coordinate table for the given equation. xy = 12

Flura [38]

Answer:

Step-by-step explanation:

Given is an equation in xy as xy =12

WE are to complete the coordinate table for xy =12

Let us give different values for x and find corresponding values of y

$y=\frac{12}{x}$

Note that x or y cannot equal 0 in this

So let us give other values

x y

12 1

6 2

4 3

3 4

2 6

1 12

-1 -12

-2 -6

-3 -4

-4 -3

-5 -2.4

-6 -2

-12 -1

7 0

3 years ago

What is 7 1/2 increased by 5 1/4?

g100num [7]

Answer:

12.75

Step-by-step explanation:

12 3/4

5 0

2 years ago

DJ Davon is making a playlist for work; he is trying to decide what 12 songs to play and in what order they should be played. If

Marta_Voda [28]

Answer:

3.63 * 10^19

Step-by-step explanation:

Given that :

Number of choices to select = 12

Category available :

Blues - 14

Country - 25

Disco - 21

To select an equal number of song for each category ; then 4 songs will be selected from each :

Using combination :

(14C4 * 25C4 * 21C4)

Since the order matters for the 12 selected songs ; it thus requires 12 permutation

Thus ;

(14C4 * 25C4 * 21C4) * 12!

nCr = n! / (n-r)!r!

Using calculator;

14C4 = 1001 ;

25C4 = 12650

21C4 = 5985

12! = 479001600

Hence,

(1001 * 12650 * 5985) * 479001600

= 36301596217286400000

=3.63 * 10^19

5 0

3 years ago