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Leviafan [203]
3 years ago
10

In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of the pyramid is 7 centimeters. Fin

d the slant height AD of the pyramid, to the nearest tenth. Show your work with reasoning for each step.

Mathematics
1 answer:
FrozenT [24]3 years ago
8 0
Consider it under a triangle, 
So, Slant height will be hypotenuse, and height will be perpendicular & base.

We know,base diagonal = √2 * base
So, 16√2 = √2 * b
b = 16

Now, substitute it into the expression:
h² = 7² + 16²
h² = 49 + 256
h = √305
h = 17.5   [ To nearest tenth ]

In short, Your Answer would be: 17.5 cm

Hope this helps!
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Answer:

Slope of PQ = 0

Slope of MN = infinity

PQ and MN are perpendicular to each other

Step-by-step explanation:

for any two points  (x1, y1),  (x2, y2)given in coordinate plane slope is given by

y1 - y2/x1-x2\\\\For \ line \ PQ\\slope = 2 - 2/-8-4 = 0\\\\For \ line \ MN \\slope = 6 - (-8)/8-8 = 1/0 = infinity\\\\

For any line if slope is zero it is parallel  to X axis and perpendicular to Y axis

For any line if slope is infinity it is parallel  to Y axis and perpendicular to X axis

Also we know X and Y are perpendicular to each other.

Since slope of PQ is zero it is parallel  to X axis and perpendicular to Y axis

Since slope of MN is infinity it is parallel  to Y axis and perpendicular to X axis.

Thus two lines PQ and MN are perpendicular to each other.

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What binomial must he added to (3r+14) to make the sum of the two polynomials equal (8r-6)
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Answer:

(5r - 20)

Step-by-step explanation:

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A taxicab charges $1.75 for the flat fee and $0.25 for each mile. write an inequality to determine how many miles eddie can trav
aev [14]

The correct option is a. $1.75 + $0.25x ≤ $15; x < 53 miles.

The inequality that represents given situation is $1.75 + $0.25x ≤ $15.

<h3>What is inequalities?</h3>

An inequality compares the two values to determine if one is less than, larger than, or simply simply equal to the other.

  • a ≠ b indicates that an is not equal to b.
  • a < b indicates that an is less than b.
  • The expression a > b indicates that an is greater than b. (those two are called as strict inequality)
  • a ≤ b signifies that an is less than or equal to b.
  • The expression a ≥ b denotes that an is greater than or equal to b.

Now for the given question;

A cab charges $1.75 for the flat fee.

And, the cab charges $0.25 for each mile.

Total amount spent by Eddie is 1$15.

So, first and foremost. Because you have to pay the fixed charge and then pay for x miles is $0.25.

Thus, (15-1.75) / 0.25 = 53.

Therefore, the inequalities which describes the given scenario is;

$1.75 + $0.25x ≤ $15

where, x < 53 miles.

To know more about the inequalities, here

brainly.com/question/11613554

#SPJ4

The correct question is-

A cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend.

a. $1.75 + $0.25x ≤ $15; x ≤ 53 miles

b. $1.75 + $0.25x ≥ $15; x ≥ 53 miles

c. $0.25 + $1.75x ≤ $15; x ≤ 8 miles

d. $0.25 + $1.75x ≥ $15; x ≥ 8 miles

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Answer:

x=x'

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