All categories

2 years ago

How to find the length of AB

Mathematics

2 answers:

Andrej [43]2 years ago

6 0

Answer:

The answer is option C

Step-by-step explanation:

To find the length of AB we use sine

sin∅ = opposite / hypotenuse

From the question

The hypotenuse is AB

The opposite is AC

So we have

sin 54 = AC/AB

sin 54 = 16 / AB

AB = 16/sin 54

AB = 19.777

Hope this helps you

Alenkinab [10]2 years ago

6 0

Answer:

AB = 19.78

Step-by-step explanation:

From the diagram (Right-angle triangle):

AC = 16

AB = ?

Angle = 54°

Applying trig ratio:

Tan 54° = 16/BC

1.376381920 = 16/BC

Therefore;

BC = 16/1.376381920

BC = 11.62

To solve the length AB:

Cos 54° = BC/AB

0.587785252 = 11.62/AB

Solving AB gives:

AB = 11.62/0.587785252

AB = 19.78

You might be interested in

How to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x

Fofino [41]

Answer:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

Step-by-step explanation:

We are given the function:

$f(x)=-4x^5-8x^3+12x$

And we want to finds its zeros.

Therefore:

$0=-4x^5-8x^3+12x$

Firstly, we can divide everything by -4:

$0=x^5+2x^3-3x$

Factor out an x:

$0=x(x^4+2x^2-3)$

This is in quadratic form. For simplicity, we can let:

$u=x^2$

Then by substitution:

$0=x(u^2+2u-3)$

Factor:

$0=x(u+3)(u-1)$

Substitute back:

$0=x(x^2+3)(x^2-1)$

By the Zero Product Property:

$x=0\text{ and } x^2+3=0\text{ and } x^2-1=0$

Solving for each case:

$x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}$

Therefore, our real and complex zeros are:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

4 0

2 years ago

Solve for x. 83 = 35^x Express the answer to the hundredths place (i.e., two digits after the decimal point). x =

devlian [24]

Answer:

x = 1.24

Step-by-step explanation:

In order to get that x down from its current position of exponential, you need to take either the log or the natural log of both sides. The power rule tells us that we can then pull the exponent down in front. So let's take the natural log of both sides:

$ln(83)=ln(35)^x$

We can bring the x down in front to give us:

ln(83) = x ln(35)

The right side of this is "stuck" together by multiplication, so we can undo that multilication by division of the ln(35). That leaves us with just x on the right:

$\frac{ln(83)}{ln(35)}=x$

Do this on your calculator and find that x = 1.24

7 0

3 years ago

A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is

Alchen [17]

M = -2 and b = 3
so equation
y = -2x + 3

hope it helps

4 0

2 years ago

During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts t

Masja [62]

Answer: The ice sheet's thickness decrease every 6 weeks= 1.5 meters

Step-by-step explanation:

GIven: At the beginning of spring, the ice starts to melt. The variable sss models the ice sheet's thickness (in meters) t weeks after the beginning of spring. $s=-0.25t+4$