Alice and Bob are currently 1000 feet apart and are both running directly

Mathematics

1 answer:

zepelin [54]2 years ago

3 0

The distance the bird has flown by the time Alice and Bob meet is 40 feet.

Given that the distance between Alice and Bob is 1000 feet and their running speed is 10 feet per second and the speed of bird is 20 feet per second.

Distance equals speed multiplied by time.

Distance between Alice and Bob=1000 feet.

Distance between the bird and Bob=1000 feet.

Speed of Alice and Bob=10 feet per second.

The combined speed of Alice and Bob=20 feet per second.

Since the two are running directly toward each other the distance each will cover at the meeting point is 50 feet (1000/20)

The time covered at the meeting point=20 second (1000/50)

Speed of the bird=20 feet per second.

The distance covered by the bird towards Bob at their meeting point is 40 feet(20 feet*20 seconds).

Hence the distance the bird has flown by the time Alice and Bob meet is 40 feet.

Learn more about distance at brainly.com/question/2854969

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Squad root of 130 by using the Babylonian method. Let 11.5 be initial.

tangare [24]

The Babylonian method for approximating square roots is the recursive method given by:

Given:

x0≈k−−√
x
0
≈
k

Then:

xn+1=x2n+k2xn
x
n
+
1
=
x
n
2
+
k
2
x
n

where k
k
is the number for which we are approximating the square root.

So, armed with this formula, let's now answer the given questions:

1.) Fill in the missing info in the problem to find square root 130 by using the Babylonian method. Let 11.5 be your initial guess.

We will use 15 digits of precision here since it is not stated how many iterations to carry out:

x0=11.5
x
0
=
11.5

x1≈11.4021739130435
x
1
≈
11.4021739130435

x2≈11.4017542587143
x
2
≈
11.4017542587143

x3≈11.4017542509914
x
3
≈
11.4017542509914

x4≈11.4017542509914
x
4
≈
11.4017542509914

Thus, with 15 digits of accuracy, we may state:

130−−−√≈11.4017542509914
130
≈
11.4017542509914

2.) Use the Babylonian method for your next estimate of square root 115 by using 10.7262 as your guess what's your next result?

The next result here is approximately:

x1=10.72622+1152⋅10.7262≈10.7238055620816
x
1
=
10.7262
2
+
115
2
⋅
10.7262
≈
10.7238055620816

3.) Nails wants to use the Babylonia method to estimate square root 58 to the nearest hundredth her initial estimate is 7.8. What is her estimate after she correctly completes the Babylonian method once?

The next result here is:

x1=7.82+582⋅7.8=7.6179487¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
x
1
=
7.8
2
+
58
2
⋅
7.8
=
7.6
179487
¯

4.) If you use the Babylonian method to estimate square root 75 to the nearest hundredth, starting with the estimate 8. What is the next estimate?

The next result here is:

x1=82+752⋅8=8.6875
x
1
=
8
2
+
75
2
⋅
8
=
8.6875

6 0

3 years ago

If l x w = v, what is the value of v?

stepladder [879]

The value of v would be the values of the length times times the width.

3 0

3 years ago

Please help!!

Elodia [21]

Answer:

$AC=\sqrt{13}$

Step-by-step explanation:

As the the length of the segments BC = AC, so the triangle ABC must be an isosceles triangle.

As CD ⊥ AB, it means the base AB gets bisected by CD, making two congruent angles named as ∠ACD and ∠BCD. As shown in attached figure.

CD bisecting the base AB into two equal parts means if AB = 4, then

the length of AD = 2 and the length of DB = 2. Hence, AD = DB

As BC = AC, it means these two equal sides of isosceles triangle would make equal angles on the opposite side. Hence, angle ∠A and ∠B would be equal as shown in attached figure.

As CD is bisecting the base AB into two equal parts. Hence, it can be treated as the part of two right triangles named ACD and BCD.

So, the length of AC can be easily determined using using the Pythagoras formula.

So,

c² = a² + b²

$c=\sqrt{a^{2}+b^{2}}$