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3 years ago

Evaluate the expression. Write your answer in scientific notation. (7 x 10^-3) + 0.32 – (6 x 10^-2)

Mathematics

1 answer:

alukav5142 [94]3 years ago

3 0

Answer:

2.67*10^-1

Step-by-step explanation:

(7 x 10^-3) + 0.32 – (6 x 10^-2)

= -.053+.32

= .267

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Hayley is considering two gym membership plans. The plans are detailed here.

Novosadov [1.4K]

Option 2: $y = 3x+50$ is the right answer

Step-by-step explanation:

We have to convert the details given in Plan one to an equation

Let x be the number of visits to the gym

and y be the total cost for plan one

So,

As each visit costs $3, x number of visits will cost 3x

One time fee is $50

So the equation can be written as:

$y = 3x+50$

Hence

Option 2: $y = 3x+50$ is the right answer

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3 years ago

Students surveyed about birthdays. How many more students were born on monday than friday?

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3 years ago

A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic

Rainbow [258]

angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

$c^2 = a^2 + b^2 - 2ab (cosx)$

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ $c^2 = a^2 + b^2 - 2ab (cosx)$

⇒ $c^2 -a^2 - b^2 = -2ab (cosx)$

⇒ $(cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}$

⇒ $(cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}$

⇒ $(cosx) =0.18310$

⇒ $cos^{-1}(cosx) = cos^{-1}(0.18310)$

⇒ $x = 79.45$

The Law of Sines (or Sine Rule) is very useful for solving triangles:

$\frac{a}{sin A} = \frac{ b}{sin B} = \frac{c}{sin C}$

We can now find another angle using the sine rule:

⇒ $\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}$

⇒ $sin Y = \frac{(7.5 (sin 79.45))}{ 8.6}$

⇒ $Y = 59.02 degrees$

So, the third angle = $180 - 79.45 - 59.02 = 41.53 degrees.$

Therefore, angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

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2 years ago

Evaluate the expression. Write your answer in scientific notation. (7 x 10^-3) + 0.32 – (6 x 10^-2) ​

Evaluate the expression. Write your answer in scientific notation. (7 x 10^-3) + 0.32 – (6 x 10^-2)