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andrew11 [14]
3 years ago
9

a closed umbrella casts a shadow when the sun shines at a 16.3° angle to the ground. how tall is the top of the umbrella to the

nearest foot?

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0
ANSWER: Approximately 7 FEET
WORK-
This is a simple trigonometric equation. We have the distance from the shadow and the angle measure. All you need to do is find the height. Using the acronym SOH CAH TOA
we can see we need to use the tangent
tan 16.3°= x/24
You find the tangent of 16.3° and then multiply by 24 and you find the height of the umbrella is around 7 feet.
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the answer is c, squared

Step-by-step explanation:

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You have designed a concrete patio which is the shape of a parallelogram and a triangle combined. The parallelogram has a length
MAXImum [283]

Answer:

perimeter is 35.6 area is 108

Step-by-step explanation:

it helps to draw a picture. first the perimeter of the rectangle is 4x2 +12=20 we wont be needing one of the twelves because it is connected to the triangle the area or the rectangle is 12x4=48. now for the triangle. we will need the Pythagorean theorem to find the sides first split the base in half 12/2=6 now we use the height and the base 6^{2} +5x^{2} =6

2

+5x

2

= 61 the square root of 61 is about 7.8 the perimeter is 7.8+7.8 +12 but we wont need the base because it is attached to the rectangle =15.6 the area of the triangle is like half a square Base times height though 12x5=60

the whole perimeter if 15.6+20=35.6 the area is 60+48=108

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7 0
3 years ago
What are the like terms in the algebraic expression?
yKpoI14uk [10]
None are right
It should be
10ab and -8 and -6a and -b
7 0
3 years ago
Who want points and brainlist just answer quick............
posledela
ITS THE LAST ONE TRUST ME I JUST FINISHED WITH THAT ONE
7 0
3 years ago
Read 2 more answers
What are the real solutions
Assoli18 [71]

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -2 = -2</span> 

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is  <span> 1 </span>.

<span><span>     -2   +   1   =   -1</span><span>     -1   +   2   =   1   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  2 
                     <span>x2 - 1x</span> + 2x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-1)
              Add up the last 2 terms, pulling out common factors :
                    2 • (x-1)
Step-5 : Add up the four terms of step 4 :
                    (x+2)  •  (x-1)
             Which is the desired factorization

Final result : (x + 2) • (x - 1) • (x - 3) • (2x - 5) <span>
</span>
5 0
3 years ago
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