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3 years ago

HELP ME NEOWWWWWWW please..

Mathematics

1 answer:

Llana [10]3 years ago

5 0

Answer:

Step-by-step explanation:

the more people who would've surveyed then the graph would be at the same rate.

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What is the measurement of the longest line segment in a right rectangular prism that is 26 inches long, 2 inches wide, and 2 in

EastWind [94]

Answer:

$6\sqrt{19} \approx 26.153$ inches.

Step-by-step explanation:

The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment $\mathsf{AG}$ .

In this diagram (not to scale,) $\mathsf{AB} = 26$ (length of prism,) $\mathsf{AC} = 2$ (width of prism,) $\mathsf{AE} = 2$ (height of prism.)

Pythagorean Theorem can help find the length of $\mathsf{AG}$ , one of the longest line segments in this prism. However, note that this theorem is intended for right triangles in 2D, not the diagonal in a 3D prism. The workaround is to simply apply this theorem on two different right triangles.

Start by finding the length of line segment $\mathsf{AD}$ . That's the black dotted line in the diagram. In right triangle $\triangle\mathsf{ABD}$ (second diagram,)

Segment $\mathsf{AD}$ is the hypotenuse.
One of the legs of $\triangle\mathsf{ABD}$ is $\mathsf{AB}$ . The length of $\mathsf{AB}$ is $26$ , same as the length of this prism.
Segment $\mathsf{BD}$ is the other leg of this triangle. The length of $\mathsf{BD}$ is $2$ , same as the width of this prism.

Apply the Pythagorean Theorem to right triangle $\triangle\mathsf{ABD}$ to find the length of $\mathsf{AB}$ , the hypotenuse of this triangle:

$\mathsf{AD} = \sqrt{\mathsf{AB}^2 + \mathsf{BD}^2} = \sqrt{26^2 + 2^2}$ .

Consider right triangle $\triangle \mathsf{ADG}$ (third diagram.) In this triangle,

Segment $\mathsf{AG}$ is the hypotenuse, while
$\mathsf{AD}$ and $\mathsf{DG}$ are the two legs.

$\mathsf{AD} = \sqrt{26^2 + 2^2}$ . The length of segment $\mathsf{DG}$ is the same as the height of the rectangular prism, $2$ (inches.) Apply the Pythagorean Theorem to right triangle $\triangle \mathsf{ADG}$ to find the length of the hypotenuse $\mathsf{AG}$ :

$\begin{aligned}\mathsf{AG} &= \sqrt{\mathsf{AD}^2 + \mathsf{GD}^2} \\ &= \sqrt{\left(\sqrt{26^2 + 2^2}\right)^2 + 2^2}\\ &= \sqrt{\left(26^2 + 2^2\right) + 2^2} \\&= 6\sqrt{19} \\&\approx 26.153\end{aligned}$ .

Hence, the length of the longest line segment in this prism is $6\sqrt{19} \approx 26.153$ inches.

5 0

3 years ago

After an importer paid 30% of the cost of an item in taxes and $65.00 for freight charges, the total bill was $520.00. The cost

Marianna [84]

Step-by-step explanation:

let the cost of the item be y

for taxes

30%of y

30/100×y=3y/10

=0.3y

freight charges =65

total =520

0.3y+65=520

0.3y=520-65

0.3y=455

y=455/0.3

y=$1516.7

y≈$1517

7 0

3 years ago

Help!!! question 3 please

Dimas [21]

Answer:

9 cows and 25 chicken

Step-by-step explanation:

First two lines

w + k = 34 1

4w + 2k = 86 2

8 0

3 years ago

For a set of data, r = 0.27. Which is true about the correlation of the variables? The variables have no correlation. The variab

VLD [36.1K]

Answer: The variables have a weak positive correlation

Since r > 0, the correlation is positive. It's a weak correlation because r is closer to 0 than it is to 1.

5 0

3 years ago

Read 2 more answers

The data set below shows the number of players on each softball team in a tournament:

stich3 [128]

An outlier number is the number that's completely different from the rest.
For example;
1, 15, 17, 16, 14.
"1" is the outlier.

Our list of numbers range (on average) from 7-12.

Let's look at our answer choices.

A.) There is one outlier that indicates an unusually large number of players on that team.

This is true, as we have 21, the one and only outlier in our list.

Your answer is A.)

I hope this helps!

7 0

3 years ago