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3 years ago

What is the difference of the lengths of BD and CE ? Use the value (pie) = 3.14, and round the answer to two decimal places.

Mathematics

1 answer:

lys-0071 [83]3 years ago

5 0

Answer:

1.57 units

Step-by-step explanation:

The formula for arc length is given as:

Arc Length = $\frac{\theta}{360}*2\pi r$

Now,

Arc length of BD = $\frac{45}{360}*2(3.14)(6)=4.71$

Arc length of CE = $\frac{45}{360}*2(3.14)(8)=6.28$

The difference in CE and BD is $6.28-4.71=1.57$

Second answer choice is right.

***** CE falls in the larger circle whose radius is AB + BC = 6+2=8

BD falls in the smaller circle whose radius is AB=6

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4 years ago

Please give a good explanation and show your work as well

Vadim26 [7]

Answer:

A) down

B) x intercept (5, 0)

y intercept (0, 80)

C) 144 ft

Step-by-step explanation:

y = Ax² + Bx + C

y = -16x² + 64x + 80

Parabola opens down because A is negative

x intercept (5, 0)

x = (-64 ±√(64² - 4(-16)(80))) / (2(-16))

x = -1 which means if the profile is continuous, the balloon launched one hour ago.

x = 5 which means the balloon will be on the ground in 5 hours.

(assuming level ground or no wind at all.

y intercept

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y = 80 ft

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32x = 64

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4 0

3 years ago

Which point would represent the value of v—72 Include the letter of the answer and then justify your response using complete sen

Svetllana [295]

Answer:

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Step-by-step explanation:

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3 years ago

One solution to a quadratic equation is x = -2i What is the other solution?

ira [324]

I believe it would be x=2i

7 0

3 years ago

Work out the co ordinates of the midpoint of (-2,-1) and (-2,4)

s2008m [1.1K]

Answer:

$(-2,\frac{3}{2})$

Step-by-step explanation:

To find the midpoint, simply use the Midpoint Formula.

The Midpoint Formula states that for two points $(x_1,y_1)$ and $(x_2,y_2)$ , the midpoint will be: $(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$ .

So, here, $(x_1,y_1)$ = (-2, -1) and $(x_2,y_2)$ = (-2, 4). The midpoint is then: $(\frac{-2+(-2)}{2} ,\frac{-1+4}{2} )=(\frac{-4}{2} ,\frac{3}{2} )=(-2,\frac{3}{2})$

Thus, the answer is $(-2,\frac{3}{2})$ .

Hope this helps!

4 0

3 years ago

Read 2 more answers