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3 years ago

11

Find the missing dimension. Round your answer to the nearest tenth. Please help me answer this problem. :) thanks.

1 answer:

Liula [17]3 years ago

7 0

The right answer for the question that is being asked and shown above is that:

This can be answered using the Pythagorean Theorem.
h2 = a2 + b2
h = square root (8^2 + 5^2)
h = <span>square root (64 + 25)
h = </span><span>square root (89) in
h = 9.4 in

So the correct answer is 9.4 in given the dimension 5 inches and 8 inches.</span>

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Tcecarenko [31]

Answer:

x is less than or equal to -2

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Step-by-step explanation:

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x is less than or equal to -2

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3 years ago

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3 years ago

Fred the clown can create 20 animal balloons every 15 minutes.

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Jamal is painting his room. He determines that a 1/2 gallon container of paint will cover 1/6 of a wall. How many gallons of pai

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In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

3 0

3 years ago