All categories

3 years ago

Can some one help me with this problem please?!

Mathematics

1 answer:

timama [110]3 years ago

6 0

Answer:

b. 25

Step-by-step explanation:

By the property of intersecting secant and tangent at a point on the circle.

$m\angle KLM = \frac{1}{2}(\overset{\frown}{KJM})\\\therefore 4x° = \frac{1}{2}\times (12x - 100)°\\\therefore 4x° = \frac{1}{2}\times 2(6x - 50)°\\\therefore 4x° = (6x - 50)°\\\therefore 4x° = 6x° - 50°\\\therefore 50°= 6x° - 4x°\\\therefore 50°= 2x°\\\therefore 2x = 50\\\therefore x = \frac{50}{2} \\ \huge \red{ \boxed{\therefore x = 25 }}$

You might be interested in

A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans

malfutka [58]

Answer:

Part A) Is a directly proportional

Part B) The constant of proportionality is $k=0.25$

Part C) The equation is $y=0.25x$

Part D) $62.5$ acres of soybeans

Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$

Let

x-----> the number of acres of corn

y----> the number of acres of soybeans

$y/x=k$

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

$y/x=k$

$k=50/200$

$k=0.25$

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

$y/x=k$

we have

$k=0.25$

substitute

$y/x=0.25$

$y=0.25x$

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

$y=0.25(250)=62.5$ -----> acres of soybeans

7 0

3 years ago

Madison wants to buy a new iPhone. The regular price is $989. Apple is offering a 15% discount and a sales tax of 7% is added af

Rzqust [24]

Answer: $899.50

Step-by-step explanation:

6 0

3 years ago

A rectangle is twice as long as it is wide. If its length and width are both

puteri [66]

Answer:

a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle

Step-by-step explanation:

Let l = the original length of the original rectangle

Let w = the original width of the original rectangle

From the description of the problem, we can construct the following two equations

l=2*w (Equation #1)

(l+4)*(w+4)=l*w+88 (Equation #2)

Substitute equation #1 into equation #2

(2w+4)*(w+4)=(2w*w)+88

2w^2+4w+8w+16=2w^2+88

collect like terms on the same side of the equation

2w^2+2w^2 +12w+16-88=0

4w^2+12w-72=0

Since 4 is afactor of each term, divide both sides of the equation by 4

w^2+3w-18=0

The quadratic equation can be factored into (w+6)*(w-3)=0

Therefore w=-6 or w=3

w=-6 can be rejected because the length of a rectangle can't be negative so

w=3 and from equation #1 l=2*w=2*3=6

I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.

5 0

3 years ago

You have $1,998.00 on a credit card with a 14.5% APR. You miss your minimum payment the first month and there is a late fee of $

Minchanka [31]

There are 2 parts to this question. 1. One would be to calculate the interest based on your balance and 2. then to add the late fee. Use the formula i = prt to calculate your simple interest. i represents the interest you will pay, p stands for the principal (balance on your credit card), and t stands for the period of time (related to a period of a year/annual percentage rate). The $1998 balance times 0.145 times 1/12 gives the interest amount of $24.14. So, $1998 + $24.14 + $37 = $2059.14 balance.

7 0

3 years ago

Read 2 more answers

Please help me with this

DiKsa [7]

Answer:

5575.28

Step-by-step explanation:

Sphere volume: (4/3*3.14) multiplied by 11x11x11

Hope this helps :D

8 0

3 years ago