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dimaraw [331]
3 years ago
7

Why is 3 + (−5) equal to −2?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
7 0

since the 5 is a negative you are actually subtracting it from 3

 so 3 +(-5) is actually 3-5. which = -2

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You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of th
Nastasia [14]

base, b = 45m

angle of elevation, aoe = 82deg

height at 86th floor, h1

height above 86th floor, h2 = 123m

total height, h = h1 + h2

using

tan (aoe) = h1/b

=》 h1 = tan (aoe) × b = tan 82 x 45 = 320.2

h = h1 +h2 = 320.2 + 123 = 443.2m

5 0
3 years ago
Sammy and David were selling water bottles to raise money for new football uniforms famous or 5 water bottles for every 3 water
ANTONII [103]
In the given question, we come to know that Sammy sold 5 bottles for every 3 water bottles sold by David. In this case we get the ratio as 5:3
Now this ratio indicates that the total number of bottles can be divided into 8 parts for finding out a single part. the total number of water bottles that are sold by Sammy and David together are 160.
Now on dividing this total number of bottles by 8 we get the 20 as one part.
The,
Number of Bottles sold by Sammy = 5 * 20
                                                         = 100
Number of bottles sold by David = 3 * 20
                                                   = 60
So Sammy sold 100 water bottles and David sold 60 water bottles from the total of 160 water bottles.
8 0
4 years ago
A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
fredd [130]
Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.

Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

***So, the patrolman spends 2 hours each day completing paperwork.***

Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).

So

25% + 25% + 25% + 25% = 100%

If 100% of the mans shift = 8 hours:

2+2+2+2 = 8

It checks out!


Hope this helps!



4 0
4 years ago
A tree casts a shadow 21m long. The angle of elevation of the sun is 55 degrees. What is the height of the tree?
Orlov [11]

Answer:

The height of the tree is about 30 feet.

Step-by-step explanation:

tan(55) = h/21

*21          *21

21*tan(55)=h

29.99=h

h=29.99=30 feet

4 0
3 years ago
The current temperature of 8"F below zero is 21°F below the high temperature of the day. What is the high temperature for the da
wariber [46]

Answer:

24°c

Step-by-step explanation:

PLEASE accept me in brainly

3 0
3 years ago
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