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3 years ago

15

A housefly can fly about 6.4 feet per second. At this rate, how far can it fly in 25 seconds? Justify your answer by using the D

istributive Property.

1 answer:

ollegr [7]3 years ago

4 0

Answer:

160 Seconds or 2 minutes and 45 seconds

Step-by-step explanation: So 6.4x25=160 seconds or 2 min 45 sec

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Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list

lara31 [8.8K]

Sin(2θ)+sin(<span>θ)=0
use double angle formula: sin(2</span>θ)=2sin(θ)cos(<span>θ).
=>
2sin(</span>θ)cos(θ)+sin(<span>θ)=0
factor out sin(</span><span>θ)
sin(</span>θ)(2cos(<span>θ)+1)=0
by the zero product property,
sin(</span>θ)=0 ...........(a) or
(2cos(<span>θ)+1)=0.....(b)
Solution to (a): </span>θ=k(π<span>)
solution to (b): </span>θ=(2k+1)(π)+/-(π<span>)/3
for k=integer

For [0,2</span>π<span>), this translates to:
{0, 2</span>π/3,π,4π/3}

8 0

3 years ago

9.84615384615 in a fraction

choli [55]

Answer:

Step-by-step explanation:

128/13

3 0

3 years ago

The frequency table shows the results of tossing a number cube 50 times. Which statement

Paul [167]

Answer:

Option (1) is the correct option.

Step-by-step explanation:

From the given frequency table,

Option (1).

Tossing an even number is more likely than tossing an odd number.

Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9

Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7

Which shows frequencies of tossing even numbers are more.

Therefore, Option (1) is correct.

Option (2)

The number 2 will be the next number tossed.

Since it is unpredictable, therefore, this option is incorrect.

Option (3)

Number 4 is half as likely to be tossed as the number 3.

Frequency of tossing number 3 = 6

Frequency of tossing 4 = 10

Frequency of tossing 3 is not the half of tossing 4.

Therefore, Option (3) is incorrect.

Option (4)

Probability of tossing the number 2 = $\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}$

= $\frac{10}{8+10+6+10+7+9}$

= $\frac{10}{50}$

= $\frac{1}{5}$

Therefore, option (4) is incorrect.

3 0

3 years ago

I want to know the answer to this question <br><br> through: (-4, 0), parallel to y =1/2x +3

netineya [11]

parallel lines have negative reciprocal slopes

so 1/2 becomes -2

point slope form

y-y1 =m(x-x1)

y-0 = -2(x--4)

y =-2(x+4)

y=-2x-8

5 0

3 years ago

The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. S

JulsSmile [24]

Answer:

32

Step-by-step explanation:

First, one theorem states that (arc AB - arc AX) / 2 = angle ACB. We know that arc AB is 176, so we have

(176 - arc AX) /2 = ∠ACB

Next, the Inscribed Angle Theorem states that

arc AX/2 = ∠ABX

multiply both sides by 2

56 * 2 = arc AX = 112

Therefore, ∠ACB = (176-112)/2 = 64/2 = 32

6 0

3 years ago