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Zielflug [23.3K]
3 years ago
15

Simplify 9 to the 2nd over 9 to the 7th. (4 points)

Mathematics
1 answer:
Blizzard [7]3 years ago
4 0
1 over 9 to the 5th. The math is attached below

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Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of​ time, the first p
Usimov [2.4K]

Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

==============================================================

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

Note that triangle ABC is a right triangle. The 90 degree angle is at point A.

We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

With this x value, we can compute the expression 1100x to get

1100*x = 1100*4.68 = 5,148 feet

To convert this to miles, divide by 5280

(5148)/(5280) = 0.975

Therefore,

5148 feet = 0.975 miles

6 0
3 years ago
1000 + 6901 - 64 = ?​
Radda [10]

Answer:

7837

Step-by-step explanation:

1000 + 6901 - 64 = ?​

=7837

8 0
3 years ago
I don't get this please can someone solve/ help me with this appreciate it thank you
Assoli18 [71]
It's scientific notation, so 1.4x10^7 would be 14000000 <span />
5 0
2 years ago
1. CAN SOMEONE PLEASE HELP ME, I'M NOT GOOD IN MATH.<br>explain your work​
pentagon [3]

Answer:

D

Step-by-step explanation:

Triangle BDC is a right triangle (If you dont understand I can explain in depth).  Since it's a right triangle, we can use the pythagorean theorem to find the length of BD.  The pythagorean theorem states that the length of the smaller legs squared = the longest side squared.  So we can set up the equation 9^{2}+x^{2}=15^{2} where x is the length of the missing side (BD).  If we were to solve for x, (I think you should know how to do this but if not I can explain), you get 12

5 0
2 years ago
A large concrete block is used for the cornerstone
marin [14]

Answer:

The volume of the concrete needed to make the block is 5054 ft³

Step-by-step explanation:

The question relate to the calculation of the volume of a shape

The dimensions of the block are;

The depth of the block, d = 19 ft.

The width of the block, w = 19 ft.

The length of the block, l = 14 ft.

The volume of a cube, V = Length, l × Width, w × Depth, d

Therefore, the volume, 'V' of a cubic block is given as follows;

V = l × w × d = 14 ft. × 19 ft. × 19 ft. = 5054 ft.³

The volume of the concrete needed to make the block = The volume of the block, V = 5054 ft³.

8 0
2 years ago
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