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3 years ago

PLEASE HELP THIS IS A PICTURE SO IF IT DONT LOAD RIGHT AWAY PLEASE BE PACTIENT THANK YOU.

Mathematics

2 answers:

amm18123 years ago

8 0

It would land on blue approximately 500 time C

vlabodo [156]3 years ago

4 0

I think.. 500, since blue is half of the wheel.

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Convert the following common fractions to decimals. Round to three decimal places if necessary. 1/2 = A)1.2 B)0.2 C)0.5 D)0.05

adell [148]

Answer:

0.5

Step-by-step explanation:

The decimal 0.25 represents the fraction 25/100. Decimal fractions always have a denominator based on a power of 10. We know that 5/10 is equivalent to 1/2 since 1/2 times 5/5 is 5/10. Therefore, the decimal 0.5 is equivalent to 1/2 or 2/4, etc.

4 0

2 years ago

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6. Two observers, 7220 feet apart, observe a balloonist flying overhead between them. Their measures of the

MaRussiya [10]

Answer:

The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

Step-by-step explanation:

Let's call:

h the height of the ballonist above the ground,

a the distance between the two observers,

$a_1$ the horizontal distance between the first observer and the ballonist

$a_2$ the horizontal distance between the second observer and the ballonist

$\alpha _1$ and $\alpha _2$ the angles of elevation meassured by each observer

S the area of the triangle formed with the observers and the ballonist

So, the area of a triangle is the length of its base times its height.

$S=a*h$ (equation 1)

but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.

$S=S_1+S_2$ (equation 2)

$S_1=a_1*h$

But we can write $S_1$ in terms of $\alpha _1$ , like this:

$\tan(\alpha _1)=\frac{h}{a_1} \\a_1=\frac{h}{\tan(\alpha _1)} \\S_1=\frac{h^{2} }{\tan(\alpha _1)}$

And for $S_2$ will be the same:

$S_2=\frac{h^{2} }{\tan(\alpha _2)}$

Replacing in the equation 2:

$S=\frac{h^{2} }{\tan(\alpha _1)}+\frac{h^{2} }{\tan(\alpha _2)}\\S=h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})$

And replacing in the equation 1:

$h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})=a*h\\h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}$

So, we can replace all the known data in the last equation:

$h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}\\h=\frac{7220 ft}{(\frac{1 }{\tan(35.6)}+\frac{1}{\tan(58.2)})}\\h=3579,91 ft$

Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

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2 years ago

Which equation matches the graph of the greatest integer function given below?

lubasha [3.4K]

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4 0

2 years ago

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After remodeling the circular deck, the Museum Board Members decided to also build a

UNO [17]

9514 1404 393

Answer:

3929 square feet

Step-by-step explanation:

The radius of the fence circle is half its diameter, so is 51.4 feet. The area of a circle is given by the formula ...

A = πr^2

The difference in areas of the two regions is found by subtracting the smaller area from the larger one. So, the difference in area between the fenced area of radius 51.4 feet and the playground area of radius 37.3 feet is ...

∆A = π(51.4^2 -37.3^2) = 1250.67π ≈ 3929 . . . square feet

8 0

3 years ago

What is the area of this figure?

aleksley [76]

Find: 1) the area of a circle of diamter 5 feet and radius 5/2 feet.
2) the area of a triangle with height 4 ft and base 6 ft.

Add these 2 results together: pi*(5/2)^2 + (1/2)(6)(4) ft

The trick here is to recognize basic shapes, find their areas separately and add the results.

7 0

3 years ago