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Afina-wow [57]
3 years ago
12

Three freinds each have some ribbon. carol has 42 inches of ribbon, tino has 2.5 feet of ribbon, and baxter has 1.5 yards of rib

bon. Express the total length of ribbon the three freinds have in inches, feet and yards. Explain how you solved it
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0
Hi there! 3 feet = 1 yard, 12 inches = 1 foot and 36 inches = 1 yard. All we have to do is change them up into different units by doing a bit of multiplication, division, maybe mental math, and even proportions if you know how to do them. Regardless on what you do, if you do it correctly, here are what your answers should be for each unit.


Inches

Carol: 42 inches
Tino: 30 inches
Baxter: 54 inches

Feet:

Carol: 3.5 feet
Tino: 2.5 feet
Baxter: 4.5 feet

Yards:

Carol: 1 1/6 yards
Tino: 5/6 yards
Baxter: 1 1/2 yards
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Answer:

"f(x)  

domain: all real numbers, range: all real numbers  

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Step-by-step explanation:

We can use the fact that the domain of a function and the range of its inverse are equal.

Also, the range of the function and the domain of its inverse are equal as well.

<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>

As we know from the graph of lines, there is no restricting values in x and y. So for the original function,  domain is the set of all real numbers and the range is the set of all real numbers.

For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.

First answer choice is right.

4 0
3 years ago
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tatuchka [14]

Answer:

D

Step-by-step explanation:

Recall that the area of a triangle is given by:

\displaystyle A = \frac{1}{2} bh

In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:

\displaystyle A = \frac{1}{2} xy

We can write the following ratios:

\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}

Solve for <em>x</em> and <em>y</em>:

\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha

Substitute:

\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)

And simplify. Hence:

\displaystyle A = 72\sin \alpha \cos\alpha

In conclusion, our answer is D.

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