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3 years ago

Find the product 2/5 x 5/6

2 answers:

8 0

The product is 1/3 because 5 times 6 = 30 which is the denominator then multiply the numerators ( 2 and 5). After that the answer is 10/30. But we can simplify that by 10= 1/3

Lina20 [59]3 years ago

6 0

2/5 x 5/6
=2/6
=1/3

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Solve for ttt.<br> 2(t+1) = 102(t+1)=10

densk [106]

Answer:

2(t+1) = 102(t+1)=10

distribuite 2t+2=10

-8 2t=8

t=4

5 0

2 years ago

Read 2 more answers

The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 20

podryga [215]

Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400

4 0

3 years ago

What is the area of the sector ?

worty [1.4K]

They forget to say "not to scale". I'm guessing this is trig because I don't see another way to do it.

Let's consider x=chord PQ first. By the Law of Cosines

$x^2 = 3^2 + 5^2 - 2(3)(5) \cos 81^\circ = 34 - 30\cos 81^\circ$

We have an isosceles triangle formed by two radii of 9 cm and x=PQ. By the Law of Cosines again,

$x^2 = 9^2 + 9^2 - 2(9)(9) \cos B$

$x^2 = 162 - 162 \cos B$

$\cos B = \dfrac{162 - x^2}{162} = 1 - \dfrac{x^2}{162}$

$\cos B = 1 - \dfrac{34 - 30\cos 81^\circ}{162}$

$B = \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ }{162} \right)$

The area of the circle is the fraction given by the angle,

$A = \dfrac{B}{360^\circ} \pi r ^2$

$A \approx \dfrac{ \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ}{162} \right) }{360} (3.142)9^2$

$A\approx 24.7474332960707$

Answer: 24.7 sq cm

8 0

3 years ago

Element X decays radioactively with a half life of 6 minutes. If there are 480 grams of Element X, how long, to the nearest tent

Mumz [18]

Answer:

I calculated 22.9 minutes

7 0

3 years ago

Read 2 more answers

If f(x) = [xl-5, what is f(8.6)?

Fynjy0 [20]

Answer:

3 or 4, depending on the intended meaning of [x]

Step-by-step explanation:

Perhaps you mean ...

$\displaystyle f(x)= \lfloor x\rfloor -5\\\\f(8.6)=\lfloor 8.6\rfloor-5=8-5=3$

On the other hand, perhaps you mean ...

$\displaystyle f(x)=\lceil x\rceil -5\\\\f(8.6)=\lceil 8.6\rceil-5=9-5=4$

4 0

3 years ago