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Marrrta [24]
3 years ago
15

Emily gave 20% of her buttons to Jake. How many total buttons did Emily start with if she gave 15 buttons to Jake?

Mathematics
1 answer:
kompoz [17]3 years ago
8 0

Answer:

75

Step-by-step explanation:

20%(x) =15

x=75

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A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 16 it f
choli [55]

Answer:

The length of the ladder  = 6.5077 ft

Step-by-step explanation:

Given A ladder leans against the side of a house

Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house

Let 'C' be the point of observation.

Given CA= 16 ft

 From right angle triangle

     

     

     x = 16 × cos 68°

    x = 16 × 0.4067

    x = 6.5077

  x = 6.5 ft

The length of the ladder = 6.5 ft

8 0
3 years ago
If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?
andrew11 [14]
<h2>Hello!</h2>

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

<h2>Why?</h2>

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

f(g(x))=(f\circ} g)(x)

So, the given functions are:

f(x)=x+7\\\\g(x)=\frac{1}{x-13}

Then, composing the functions, we have:

f(g(x))=\frac{1}{x-13}+7\\

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

5 0
3 years ago
A. How many lines of symmetry does a regular polygon have? B. Give a rule for the number of lines of symmetry in a regular polyg
astra-53 [7]
A regular polygon has about 5 lines of symmetry. The number of lines of symmetry is equivalent to the number of sides.
6 0
3 years ago
1. Simplify the following by combining like terms (5 points).<br> 4x-10+14+7x-10x+2
ycow [4]

Answer:

X+6

Step-by-step explanation:

Combined like terms.

7 0
3 years ago
Read 2 more answers
What is the value of p? (p 2)−4=14
Over [174]
P+2-4=14
p-2=14
add 2
p+2-2=14+2
p+0=16
p=16
8 0
3 years ago
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