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Andreas93 [3]
3 years ago
11

How do I solve for X

Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Answer:

Step-by-step explanation:

4x + 7 + 2x + 5 = 180

6x + 12 = 180

6x = 168

x = 28

4(28) + 7= 112 + 7= 119

2(28) + 5 = 56 + 5= 61

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At a certain time of day, the angle of elevation of the sun is 80degree. Find the height of a tree whose shadow is 44 feet long.
Arte-miy333 [17]

The height of the tree is 249.5 feet

<h3>How to determine the height of the tree?</h3>

The given parameters are:

  • Elevation angle = 80 degrees
  • Shadow length (L) = 44 feet

Let the height of the tree be x.

So, we have:

tan(80) = x/44

Multiply both sides by 44

x = 44 * tan(80)

Evaluate

x = 249.5

Hence, the height of the tree is 249.5 feet

Read more about elevation at:

brainly.com/question/19594654

#SPJ1

8 0
2 years ago
In a 5 km race, Anna swims 450 m, then runs 800 m. She then cycles the rest of the race. How many kilometres does she cycle?
Umnica [9.8K]
5km = 5000 meters
450m+800m= 1250m
5000m-1250m= 3,750m
3 3/4 km
6 0
4 years ago
Explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)​
laiz [17]

The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Given the expression 256 + 4. This can be solved using the partial sum expressed as:

256 + 4

256 + 4

= (200 + 40 + 16) + 4

According to the commutative property, A+B = B+A

The arrangement does not affect the result. Hence;

  • (200 + 40 + 16) + 4 = 4 +  (200 + 40 + 16)

Using the distributive law;

  • 4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)

Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

​Learn more on  partial sum  here: brainly.com/question/6958503

4 0
3 years ago
Bananas are $0.59/pound.
victus00 [196]

Answer:

25 pounds will cost 14.75

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find x, if the distance end points is (x,1) and (4,4) with the total distance is the square root of 10.
Alex Ar [27]
Okay, take a look at diagram 1 (I know it's rubbish I did it on paint :D), this shows all the information you've given in the question. The two coordinates and the distance between them.

Now if we draw additional lines on this diagram, we can make a right-angled triangle (this is on diagram 2). We can also work out the lengths of the additional sides because we know both coordinates at the end-points of the additional lines.

Finally because this is a right-angled triangle, Pythagoras' theorem must apply to its sides meaning
( \sqrt{10} )^2 = (x-4)^2 + 3^2
10 = (x-4)^2 + 9
(x-4)^2 = 1 \Rightarrow x-4 = 1
therefore x=5.

3 0
3 years ago
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