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Y_Kistochka [10]
3 years ago
15

A children's slide has a length of 5.8m. The vertical ladder is 2.6m above the groubd. Find the angle the slide makes with the g

round, correct to one decimal place.

Mathematics
2 answers:
Elodia [21]3 years ago
8 0

<u>Answer</u>


26.6°


<u>Explanation</u>

You are required to use the trigonometric ratio, sine, to find that angle.

SinФ = opposite/hypotenuse


sin Θ = 2.6/5.8

= 0.4483


The angle Θ = Anti-sine(0.4483)

= 26.633°


The angle the slide makes with the ground, correct to one decimal place is 26.6°

Mazyrski [523]3 years ago
6 0

the angle is 54 degrees can i have brainliest


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What is the sum of 20x^2-10x-30
ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

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in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

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<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

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substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

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3 years ago
Which of the following vectors are orthogonal to (1,5)? Check all that apply
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We know that
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<span>C. (-1,-5)
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<span>D. (-5,1)
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the answer is 
B. (10,-2) and D. (-5,1)  are  orthogonal  to  (1,5)
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