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3 years ago

8

A ribbon measures 4.5 meters. Express this length in millimeters.

1 answer:

Veseljchak [2.6K]3 years ago

8 0

Answer:

4500 meters.

Step-by-step explanation:

1 meter = 1000 millimeters so just do the number of meters (in this case 4.5) times 1000.

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1. Factor and simplify: cos² xcsc² x-cos²xcot² x

Vera_Pavlovna [14]

Answer:

Cos² x

Step-by-step explanation:

<h3>Trigonometry:</h3>

$\sf Cos^2 \ x *Csc^2 \ x-Cos^2 \ x *Cot^2 \ x = Cos^2 \ x (Csc^2 \ x - Cot^2 \ x)$

$\sf = Cos^2 \ x \left(\dfrac{1}{Sin^2 \ x} - \dfrac{Cos^2 \ x}{Sin^2 \ x}\right)\\\\= Cos^2 \ x \left(\dfrac{1-Cos^2 \ x}{Sin^2 \ x}\right)\\\\\boxed{\bf Indentity: \ 1 - Cos^2 \ x = Sin^2 \ x}\\\\\\= Cos^2 \ x \left(\dfrac{Sin^2 \ x}{Sin^2 \ x}\right)\\\\= Cos^2 \ x$

4 0

2 years ago

Judy spent 1 hr 15 min less than Sandy exercising last week. Sandy spent 50 minutes less than Mary, who spent 3 hours at the gym

kondaur [170]

Answer:

Judy spent 55 minutes exercising

Step-by-step explanation:

Here, we want to know the amount of time Judy spent exercising.

We proceed as follows;

Mary spent 3 hours , sandy spent 50 minutes less than Mary. The amount of time spent by Sandy is thus 2hrs 10 minutes

Judy spent 1hr 15 min less, the amount of time he spent is thus

2hrs 10 minutes - 1 hr 15 min

2 hrs 10 minutes is same as 2(60) + 10 = 120 + 10 = 130 minutes

I hr 15 minutes = 60 + 15 = 75 minutes

The amount of time spent is thus 130 - 75 = 55 minutes

8 0

3 years ago

If x varies directly as y, and x=4 when y=15, find x when y=36.<br>

vesna_86 [32]

Answer:

x = 9.6

Step-by-step explanation:

Given that x varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition x = 4 when y = 15

k = $\frac{x}{y}$ = $\frac{4}{15}$

x = $\frac{4}{15}$ y ← equation of variation

When y = 36, then

x = $\frac{4}{15}$ × 36 = $\frac{144}{15}$ = 9.6

7 0

4 years ago

What is the equation of the line with m=6 that goes through the point (1,4)?

Digiron [165]

Y = mx + b
4 = 6(1) + b
b = -2

equation
y = 6x -2

3 0

4 years ago

100 percent as a fraction in simplest form.

podryga [215]

Answer:

1/1

Step-by-step explanation:

100/100=1/1=1

7 0

3 years ago

Read 2 more answers