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faltersainse [42]
3 years ago
14

In a stairway, the slope of the handrail is the ratio of the riser to the tread. If the tread is 12 inches long and the riser is

8 inches long, find the slope.
(image)

a.
2/5
c.
2/3
b.
3/2
d.
5/2

Mathematics
1 answer:
harkovskaia [24]3 years ago
7 0
C. 2/3 (8/12 simplified is 2/3)
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A=2(L+W) solve for W
balu736 [363]
First you divide L+W by 2 and you would get A/2=L+W then you would subtract L and get A/2 -L=W
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3 years ago
The sum of 28+29+42=99. So what addition property was used Commutative, associative, identity, or distributive ?
IrinaVladis [17]

28 + 29 + 42 = 28 + 42 + 29 = 99

Commutative property: a + b = b + a

3 0
3 years ago
Which expression is the simplest form of...
Lemur [1.5K]

Answer:

The answer is option A

Step-by-step explanation:

<h3>( {x}^{ -  \frac{4}{7} } )^{7}</h3>

Using the rules of indices

That's

<h3>( { {a}^{x} })^{y}  =  {a}^{x \times y}</h3>

Simplify the expression

We have

<h3>( { {x}^{ -  \frac{4}{7} } })^{7}  =  {x}^{ -  \frac{4}{7} \times 7 }   \\  =  {x}^{ - 4}</h3>

Again using the rules of indices

That's

<h3>{x}^{ - y}  =  \frac{1}{ {x}^{y} }</h3>

The final answer is

<h3>\frac{1}{ {x}^{4} }</h3>

Hope this helps you

5 0
3 years ago
Read 2 more answers
(100) points!!!! Help please
inysia [295]

Answer:

\displaystyle a_8=142,11\ mg

Step-by-step explanation:

Geometric sequence

Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is

\displaystyle a_n=a_1r^{n-1}

where a_1 is the first term of the sequence

The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as

amount in hour n = amount in hour n-1 * 0.91

a)

This information provides the necessary data to write the general term as

\displaystyle a_n=275\ .\ 0.91^{n-1}

b)

In the 8th hour (n=8), the remaining medicine present is Georgie's body is

\displaystyle a_n=275\ .\ 0.91^{8-1}

\displaystyle a_n=275\ .\ 0.91^{7}

\boxed{\displaystyle a_8=142,11\ mg}

6 0
3 years ago
What is the mean absolute deviation of the following data set
tatuchka [14]

Answer:

4.32

Step-by-step explanation:

First, we have to find the mean of the data set.

16, 11, 9, 12, 11, 10, 10, 8, 15, 0, 2, 15, 14, 7, 11, 5, 14, 20, 3, 11, 13, 7, 0, 5, 21 all added together equals 250. 250 divided by 25 = 10. So 10 is the mean.

Now we have to find the absolute distances of each number from the mean.

16 - 10 = 6... 11 - 10 = 1... so on, giving us this -->

6, 1, 1, 2, 1, 0, 0, 2, 5, 10, 8, 5, 4, 3, 1, 5, 4, 10, 7, 1, 3, 3, 10, 5, 11

Finally, we have to find the mean of the distances (which is done by adding all the numbers above and dividing the sum by the number of values there are).

108 divided by 25 = 4.32.

So, 4.32 is the mean absolute deviation (MAD) of the following data set.

4 0
2 years ago
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