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3 years ago

Write the following expression in exponential form:

Mathematics

1 answer:

DaniilM [7]3 years ago

6 0

Answer:

16x16x16x1.6

Step-by-step explanation:

here's your answer hope it helps you

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Staci has seven more cats then taylor.Write and expression that illustrates how many cats staci has. Use x to represent the numb

uysha [10]

The expression x + 7 will determine how many cats Staci has.

Since Staci has 7 more cats than Taylor (x), we know the expression uses addition.

8 0

3 years ago

Two buildings are facing each other on a road of width 12 metre . From the top of the first building, which is 10 metre high , t

Karo-lina-s [1.5K]

Answer:

$\displaystyle 10 + 12\sqrt{3}$ metres

Step-by-step explanation:

You are finding the height of the building with an angle of elevation, therefore we need to solve for EC to add it to BA [10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ$

We can now solve for EC:

$\displaystyle cot\:60 = \frac{12}{EC} → ECcot\:60 = 12 \\ \\ \frac{ECcot\:60}{cot\:60} = \frac{12}{cot\:60} → 12\sqrt{3} = EC$

OR

$\displaystyle tan\:60 = \frac{EC}{12} → 12tan\:60 = EC → 12\sqrt{3} = EC$

Now that you have solved for EC, you can now add it to your original 10 metres to get $\displaystyle 10 + 12\sqrt{3}$ metres. As a decimal, you would get $\displaystyle 30,78460969...$ metres. You can go ahead and round this off if necessary.

** The reason why the cotangent [or tangent] ratio was used was because EA is equivalent to DB by the definition of a rectangle. It has two pairs of parallel and congruent sides with four right angles. Plus, that is the adjacent side of the triangle, while EC is the opposite side of the triangle, so we knew our ratios were correct.

I am joyous to assist you at any time.

8 0

3 years ago

What is 320% of 69, pls show a step by step explanation

icang [17]

Answer:

220.8

Step-by-step explanation:

Equation: x/69=320/100

x is the # your trying to solve, 320 is the percent so that has to be over 100.

Solve: cross multiply

69*320=100x

22080=100x

220.8=x

320% of 69 si 220.8

8 0

3 years ago

PLEASE ANSWER FAST I NEED ANSWER QUICK

Vadim26 [7]

A and B would be 90 degrees because the angle between B anc C is 90

5 0

3 years ago

Read 2 more answers

What is the variable to 15 =k ( 1/3)

malfutka [58]

Answer:

k=5

Step-by-step explanation:

1/3 of 15 is five or 15/3=5 and so the equation comes out to be k=5

8 0

3 years ago