All categories

3 years ago

Help ASAP please! JKL is a right triangle. JL = 10, KL = 8, and JK = 6. What is cos L?

Mathematics

2 answers:

dalvyx [7]3 years ago

7 0

Answer:

Answer B is correct

Step-by-step explanation:

Hey there,

$cos \; L \;\;= \frac{adjecent}{hypotenuse}$

$cos\; L = \frac{8}{10}$

The answer is,

$\frac{8}{10}$

Hope this helps you.

Let me know if you have any other questions :-)

Alisiya [41]3 years ago

3 0

Answer:

cos l = 8/10

Step-by-step explanation:

cos = b/h

=> cos l = 8/10

You might be interested in

When the town of Manning first started its voluntary recycling program, 2500 of the town's residence participated. The town pred

Paraphin [41]

Answer: The correct answer is Choice D.

This is an example of an exponential equation. They are in the form of y=ab^x, where a is the starting value, b is the rate and x is the number of years.

Our data starts at 2500 and increases by 5%, or 100% + 5% = 1.05.

If you put them together, you have the equation y = 2500(1.05)^x, Choice D.

3 0

3 years ago

If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24

VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let $r$ be the radius and $\theta$ be the angle of a circle.

According with the graph, the area of the sector is given by

$A=\frac{1}{2}r^2\theta$

The arc lenght of a circle with radius $r$ and angle $\theta$ is $r \theta$

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

$2r+r\theta=24 \:in$

We need to express the area as a function of one variable, to do this we use the above equation and we solve for $\theta$

$2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}$

Next, we substitute this equation into the area equation

$A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2$

The domain of the area is

$0$

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

$\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r$

$12-2r=0\\-2r=-12\\\frac{-2r}{-2}=\frac{-12}{-2}\\r=6$

To check if $r=6$ is a maximum we use the Second Derivative test

if $f'(c)=0$ and $f''(c)$ , then f(x) has a local maximum at x = c.

The second derivative is

$\frac{d}{dr} A'(r)=\frac{d}{dr} (12-2r)\\A''(r)=-2$

Because $A''(r)=-2$ the largest slice is when r = 6 in.

The diameter of the pizza is given by

$D=2r=2\cdot 6=12 \:in$

A 12 in diameter will reward you with the largest slice of pizza.

3 0

3 years ago

Seventh grade

kupik [55]

-5+1+-2+9v+-5v

-3+1+4v

-2+4v

5 0

3 years ago

Solve for x -3+8×-5=-8

Art [367]

Answer:

x is 0

Step-by-step explanation:

subtract the number 3 5 and 8 then combine like terms and 8 on both sides of the equation then simplify after that divide both sides of the equation by the same term then simplify

5 0

2 years ago

The last question for my test help

alisha [4.7K]

3 2/6

5/6*4=20/6

20/6= 3 2/6 OR 3 1/3

8 0

3 years ago