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3 years ago

What is the distance between (5, 6, 4) and (4, 4, 2)? round to the nearest tenth of a unit

Mathematics

1 answer:

n200080 [17]3 years ago

3 0

Distance = 3 units .....................

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How do you construct a 112.5 degree angle? (step by step) Please help =)

KATRIN_1 [288]

First you take a protractor and a pencil
next, you draw a horizontal line (red)
then find the value of the angle, and draw a line with the matched value (green)
please look at the image

5 0

3 years ago

A cement block is in the shape of a rectangular prism that measures 4.5 feet by 7.25 feet by 6.5 feet. The entire block must be

Simora [160]

Since A=l*w*h,

A=4.5*7.25*6.5
A=212.0625

A=212.0 feet squared is the answer.

8 0

3 years ago

Read 2 more answers

Insert geometric means in each geometric sequence.

Digiron [165]

Answer:

$\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}$

$\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}$

$81, \underline{27, 9, 3, 1},\dfrac{1}{3}$

Step-by-step explanation:

Given the Geometric sequences:

1. ___, 24, ___, ___, 3/64

2. ___, 1/4, 1/2, ___

3. 81, ___, ___, ___, ___, 1/3

To find:

The values in the blanks of the given geometric sequences.

Solution:

First of all, let us learn about the $n^{th}$ term of a geometric sequence.

$a_n=ar^{n-1}$

Where $a$ is the first term and

$r$ is the common ratio by which each term varies from the previous term.

Considering the first sequence, we are given the second and fifth terms of the sequences.

Applying the above formula:

$ar = 24\\ar^4 = \dfrac{3}{64}$

Solving the above equation:

$r = \dfrac{1}{8}$

Therefore, the sequence is:

$\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}$

Considering the second given sequence:

$ar = \dfrac{1}{4}\\ar^2 = \dfrac{1}{2}\\\text{Solving the above equations}, r = 2$

Therefore, the sequence is:

$\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}$

Considering the third sequence:

$a = 81\\ar^5=\dfrac{1}{3}\\\Rightarrow r = 3$

Therefore, the sequence is:

$81, \underline{27, 9, 3, 1},\dfrac{1}{3}$

5 0

3 years ago

6.) 92% of 58 is what?

KATRIN_1 [288]

Answer: 53.36

Step-by-step explanation:

6 0

3 years ago

2/3 of the pizza was left over from last night. Then, Marcy ate another 2/9 of it. How much is left now?

valina [46]

First, find the LCD; that is 9.

2/3 = 6/9

6/9 – 2/9 = 4/9

There is 4/9 of the pizza left.

5 0

3 years ago