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2 years ago

Can someone help me out here please?

Mathematics

1 answer:

S_A_V [24]2 years ago

5 0

Step-by-step explanation:

Area of circle:

A=π*(r^2)=π*(16^2)=256π ft^2

Area of the figure:

A=(3*256π)/4=192π=603.185=603.18 ft^2

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Answer:

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3 years ago

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What is the equation of the line that passes through the points (-1 , 3/2) and (1/2 , 1/2 )

Simora [160]

Answer:

<u>y = -2/3x + 5/6</u> (slope intercept) (y = ax + b)

4x + 6y = 5 (standard form) (Ax + By = C)

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2 years ago

A football player is running the length of a 100 yard long football field. For the first part of the field, he runs at a rate of

notka56 [123]

Answer:

$\frac{2}{5}$ th part of the field is covered in the second sprint.

Step-by-step explanation:

A football player is running the length of a 100 yard long football field.

Let player sprints x yards with the speed = 2 yards per second.

So time taken to cover x yards player will take time = $\frac{x}{2}$ seconds

Now rest distance (100 - x) yards when covered with the speed of 4 yards per second, so time taken to cover this distance = $\frac{Distance}{Speed}$

= $\frac{100-x}{4}$ seconds

Now total time taken by the player can be represented by the equation

$\frac{x}{2}+\frac{100-x}{4}=40$

Now we can solve this equation for the value of x.

$\frac{2x+100-x}{4}=40$

x + 100 = 40×4

x + 100 = 160

x = 160 - 100 = 60 yards

And length of the second part will be = 100 - 60 = 40 yards

Now the fraction of the field covered by the player in second sprint will be

= $\frac{40}{100}$

= $\frac{2}{5}$ or 40%

Therefore, $\frac{2}{5}$ th part of the field was covered in second sprint.

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3 years ago

An amusement park has discovered that the brace that provides stability to the ferris

antiseptic1488 [7]

Answer:

Hence the correct answer is option (A) 4.708.

Step-by-step explanation:

Solution:-

Now, we need to find the angle of the sector by using sector formula,

$A = 28.25 ft^{2} \\r = 12ft.\\\\28.25 = \frac{\theta}{360^{o} } \times \pi \times 12^{2} \\\\\theta=\frac{28.25\times 360}{12 \times12 \times \pi} \\\\\theta =( \frac{70.625}{\\pi} )^{o}$

We now convert the angle to radian

$\theta = \frac{70.625}{\pi} \times \frac{\pi}{180}\\\\\theta = 0.39236 radian$

Now we calculate the length of arc by arc formula

$\theta=\frac{I}{12} \\\\0.39236 =\frac{I}{12}\\\\I = 4.708 feet.$

So, The length of steel that must be replaced is 4.708 ft.

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3 years ago

Keyona had 254 dollars to spend on 9 books. After buying them she had 11 dollars. How much did each book cost ?

guajiro [1.7K]

Answer:

Each book costs $27.

Step-by-step explanation:

Subtract 254 - 11.

254 - 11 = 243

Now, divide 243 by 9.

243 ÷ 9 = 27

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