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3 years ago

Use the properties of exponents to simplify the expression: 25 3/2

Mathematics

1 answer:

HACTEHA [7]3 years ago

8 0

<h2><em>For any Real numbers a , b , c with a > 0 we find:</em></h2><h2><em>a ^b c = ( a ^b )^ c</em></h2><h2><em>In our example, </em></h2><h2><em>25 = 5 ^2 , so we find:</em></h2><h2><em>=25 ^3/ 2 </em></h2><h2><em>= ( 5^ 2 ) 3/ 2 </em></h2><h2><em>= 5 ^2 ⋅ 3 /2</em></h2><h2><em> = 5^ 3 </em></h2><h2><em>= 125</em></h2>

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3 years ago

A school is organising a competition. There are 128 students from the Maths specialist class and 80 students from the English sp

Elden [556K]

Answer:

5 english students in each team

Step-by-step explanation:

So there are multiple ways to do this, you could do trial and error or you could factor out common numbers between the two.

Through trial and error, the lowest possible number of groups that could be divided between the number of students whilst still being able to maintain a whole # was 16 groups

128 math students ÷16 groups = 8 math students/group
80 english students ÷ 16 groups = 5 english students/group

The other way to solve this is to factor out common numbers between the two:

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2 years ago

HELPP!!

s344n2d4d5 [400]

Answer:

2 km

Step-by-step explanation:

basically do the inverse:

3×4(instead of divide)=12

12-8=4

it says jose ran 2× as many km as karen so you divide 4 by 2 giving you 2

sorry if its incorrect

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3 years ago

I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on

lisov135 [29]

Hi there!

The three main trigonometric ratios are sine, cosine and tangent:

$\displaystyle sin\theta=\frac{opposite}{hypotenuse}$ $\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$ $\displaystyle tan\theta=\frac{opposite}{adjacent}$

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

<u>First question</u>

For the first question, we're given the angle with a measure of 56 degrees and the length of the <em>hypotenuse</em>. We must calculate <em>a</em>, which represents the side <em>adjacent </em>to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

$\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$

Plug in the given information:

$\displaystyle cos56=\frac{a}{13}$