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4 years ago

11

Use the diagram, which is not drawn to scale, to decide which proportions are true.

1 answer:

zubka84 [21]4 years ago

8 0

Answer:

a.

Step-by-step explanation:

I and IV only, are true proportions

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coach Cliffman made a deposit of $1800 into an account that earns 2% annual simple interest. find the amount of interest that co

NeX [460]

Answer:

The amount of interest Coach Cliffman earned after 3 years is $108.

Step-by-step explanation:

The equation for simple interest is A = P(1 + rt). To determine the revenue earned, subtract the principal amount ($1800) from the total accured amount (principal + interest). The equation for simple interest is A = P(1 + rt), <em>P </em>meaning principal interest, <em>r</em> being the rate of interest per year in decimal form, and <em>t</em> as time in years.

Let P = $1800, r = .02, and t = 3 and you'll end up with a total accrued amount of $1908. Finally, subtract 1908-1800 to get your answer of $108.

4 0

4 years ago

Which could be used to evaluate the expression -6(2/3)

natka813 [3]

Answer: -4

Step-by-step explanation:

Do -6 x 2 to get -12, then divide by 3 to get -4

Thats assuming this is a fraction and not an actual division sign

8 0

3 years ago

The length of a rectangle is 5m less than three times the width, and the area of the rectangle is 50m^(2). Find the dimensions o

Ilia_Sergeevich [38]

Answer:

The width is 5m and the length is 10m.

Step-by-step explanation:

Rectangle:

Has two dimensions: Width(w) and length(l).

It's area is:

$A = w*l$

The length of a rectangle is 5m less than three times the width

This means that $l = 3w - 5$

The area of the rectangle is 50m^(2)

This means that $A = 50$ . So

$A = w*l$

$50 = w*(3w - 5)$

$3w^{2} - 5w - 50 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$3w^{2} - 5w - 50 = 0$

So

$a = 3, b = -5, c = -50$

$\bigtriangleup = (-5)^{2} - 4*3*(-50) = 625$

$w_{1} = \frac{-(-5) + \sqrt{625}}{2*3} = 5$

$w_{2} = \frac{-(-5) - \sqrt{625}}{2*3} = -3.33$

Dimension must be positive result, so

The width is 5m(in meters because the area is in square meters).

Length:

$l = 3w - 5 = 3*5 - 5 = 10$

The length is 10 meters

6 0

3 years ago

Question 10 of 10<br> 2 Points<br> If A = (4,-5) and B = (7,-9), what is the length of AB?

OlgaM077 [116]

This is it my friend m= -4/3

7 0

3 years ago

Read 2 more answers

In 2009 Husain bolt set the world record for sprinting 100 m in approximately 93.5 seconds find his average speed in meters per

antiseptic1488 [7]

Answer:

1.0695 meters per second

Step-by-step explanation:

Average Speed = Average Distance/ Time

= 100/93.5

= 1.0695 meters per second

6 0

3 years ago