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mamaluj [8]
3 years ago
11

Express the following in exponential notation: (-13) X (-13). 35 times

Mathematics
1 answer:
miv72 [106K]3 years ago
8 0

Answer:

(-13) * (-13) = (-13)^{2}

35 * 35 = 35^{2}

Step-by-step explanation:

Given

(-13) * (-13)

Required

Express as an exponential notation

(-13) * (-13)

Apply the following law of indices

x^a * x^b = x^{a+b}

This gives:

(-13) * (-13) = (-13)^{1+1}

(-13) * (-13) = (-13)^{2}

<em>The second complete is incomplete; However, I'll assume it is: 35 times 35</em>

35 * 35

Using the same law applied in (1) above:

35 * 35 = 35^{1+1}

35 * 35 = 35^{2}

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Why does sin54°≈0.809≈cos36° in a right triangle?
allsm [11]

9514 1404 393

Answer:

A

54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

Step-by-step explanation:

The answer explains itself.

The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are <em>complementary</em> (not supplementary).

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

7 0
2 years ago
Tareq pays $22.10 for 2.6 pounds of salmon. What is the price per pound of the salmon? *
e-lub [12.9K]

Answer:

8.50

Step-by-step explanation:

Divide $22.10 over 2.6 pounds of salmon

6 0
3 years ago
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The length of a rectangle is 6 times longer than the width. The perimeter is 42. What is the width?
Diano4ka-milaya [45]
3 is the width of the rectangle
6 0
3 years ago
How much much interest is on earned on an account if... Principal= $1,250 Rate= 5.7% Time= 4 year
Free_Kalibri [48]

Alright, lets gets started.

I suppose , we are asked to find simple interest for above question.

Principal P = $1,250

Rate r = 5.7 %

Time t = 4 years

The formula for simple interest = \frac{P*r*t}{100}

Hence simple interest = \frac{1250*5.7*4}{100}

Simple interest = \frac{28500}{100}

Simple interest = 285 $

Hence interest earned is $ 285. : Answer

Hope it will help :)

8 0
3 years ago
Read 2 more answers
Solve the following system of equations for z and for y :
azamat

Answer:

Value of z = 7

Value of y = 30  

Step-by-step explanation:

We are given the following equations in the question:

y = 9 + 3z\\y = 65 -5z

We have to solve the given equation for y and z.

Equating the two equations we get,

y = 9 + 3z\\y = 65 -5z\\9 + 3z = 65-5z\\3z + 5z = 65-9\\8z = 56\\\\z = 7\\y = 9+3(7) = 30

Value of z = 7

Value of y = 30

4 0
3 years ago
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