a hunter observes that the interval between a lightning flash and thunder clap that followed is 15 beat of his pulse. If his pulse rate is 75 per minute and sound in air is 330m/s, how far is the thunderstorm​

Answers

Answer 1

Answer:

3600 m or 3.6 km

Step-by-step explanation:

The first thing is to take into account that the pulse rate is equal to 75 per minute, or what is the same as 75 beats per 60 seconds, then we must know how many seconds would be 15 beats:

15 beats * 60 seconds / 75 beats = 12 seconds

Therefore, we know that the velocity is equal to:

v = d / t

We know the time and the speed, therefore:

d = v * t

replacing

d = 300 * 12

d = 3600

is located at 3600 meters or 3.6 km


Related Questions

express 0.029646 correct to three decimal places​

Answers

Answer:

0.030

Step-by-step explanation:

=> 0.029646

To three dps that there should be only 3 decimals places after rounding off.

So, it becomes

=> 0.030 (Because the digit in ten thousandths place was greater than 5)

Answer:

0.03.

Step-by-step explanation:

The 3rd decimal place is 9 so we round up the second place to 3.

Someone please help me

Answers

Answer:

  [tex]\dfrac{78y}{18y}[/tex]

Step-by-step explanation:

Multiplying by 1 is the same as multiplying by a fraction with the same numerator and denominator.

  [tex]\dfrac{13}{3}=\dfrac{13}{3}\times\dfrac{6y}{6y}=\boxed{\dfrac{78y}{18y}}[/tex]

Solve (y/4) +3 = 7
a) y = 40
b) y = 1
c)y = 25
d) y = 16

Answers

(Y/4) +3 = 7

Subtract 3 from both sides:

Y/4 = 4

Multiply both sides by 4

Y = 16

Answer:

Option D

Step-by-step explanation:

=> (y/4)+3 = 7

Subtracting 3 from both sides

=> y/4 = 7-3

=> y/4 = 4

Multiplying 4 to both sides

=> y = 4*4

=> y = 16

Kite ABCD (a quadrilateral with two pairs of adjacent equal sides) has coordinates A\(0,7), B (1,0),\ C (12,-2), and D (7,8). What is the area of ABCD, given that the area of a kite is equal to half the product of its diagonals? PLEASE HELP DUE IN FIVE MINUTES

Answers

Answer:

Area=45

Step-by-step explanation:

Area=AC*BD/2=V12^2+(-9)^2*V6^2+8^2=(V144+81)*V36+64/2=V225*6/2=15*6/2=45

What are the collinear points on line l ?

Answers

Answer:

Points A, F, and G are three collinear points on line l

Step-by-step explanation:

hope this helps you A,F,G, are the three collinear points on line l :)

Given: ABCD ∥gram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D

Answers

Answer:

m∠A 60°, m∠B= 120°, m∠C =60°, m∠D=120°

Step-by-step explanation:

[tex] In\: ||^{gm} \: ABCD, \: BK\perp AD... (given) \\

\therefore \angle BKA = 90\degree \\

In\:\triangle BKA, \\\\

\cos \angle A = \frac{AK}{AB}\\\\

\cos \angle A = \frac{3}{6}\\\\

\cos \angle A = \frac{1}{2}\\\\

\cos \angle A = \cos 60\degree.. (\because \cos 60\degree = \frac{1}{2}) \\\\

\huge \red {\boxed {\therefore \angle A = 60\degree}} \\[/tex]

Since, adjacent angles of a parallelogram are Supplementary.

[tex] \therefore \angle A + \angle B = 180\degree \\

\therefore 60\degree + \angle B = 180\degree \\

\therefore \angle B = 180\degree - 60\degree\\

\huge \purple {\boxed {\therefore \angle B = 120\degree}} \\[/tex]

Since, opposite angles of a parallelogram are congruent.

[tex] \therefore \angle C = \angle A

\\

\huge \red{\boxed {\therefore \angle C = 60\degree}} \\\\

\therefore \angle D = \angle B

\\

\huge \purple {\boxed {\therefore \angle D = 120\degree}} \\[/tex]

What are the domain and range of the step function with the equation below?
fx)=-3[x]​

Answers

The answer is Option C <3

The domain and range of the step function with the equation; f(x)=-3[x] is; the set of all real numbers in both cases.

What is the domain and range of the function?

The domain of a function is the set of all possible input values of the function, while the range of the function is the set of all possible output values of the function.

On this note, the function f(x)=-3[x] given has its domain and range to be the set of all real numbers.

Read more on domain and range;

https://brainly.com/question/26098895

Solve for the area (A) of a rectangle if the length (l) is 4x and the width (W) is 5x*. Remember Area = length x width

Answers

Answer:

If area = length * width that means the answer is 4x * 5x = 20x².

Z^5=-7776i
Find the solution of the following equation whose argument is strictly between 270 and 360 degrees

Answers

Answer:

Z=+6

Step-by-step explanation:

Z^5=-7776i

Let's note that i I mathematics means negative one i.e

i = -1

So the equation is equal to

Z^5=-*-(7776)

Z^5 = 7776

Z= 5√7776

Since it's a divisible by 6

It's giving us a clue that 6 it's the answer.

Ok let's check the 5th root of 7776 in our calculator.

Z=+6

+6 is the solution to the equation

Z^5=-7776i

Identify the terms and like terms in the expression
Q + 4 + 2t - 9+ +
Which statements are true? Check all that apply
The expression contains seven terms.
The terms in the expression are a?, 4,21, 9, and .
The constants, 4 and 9, are like terms.
Like terms have the same variables to the same
powers
9, 21, and I are variables, so they are like terms.
2t and t are like terms.

Answers

Answer:

2nd option is correct as it has represented all the terms of the expression.

Answer:

The answer is 2,3,4,6

Step-by-step explanation:

Here is proof! Hope you pass<33

HELP ANSWER AS FAST AS POSSIBLE!!!

Answers

Answer:

Answer D.

Step-by-step explanation:

Rotate the triangle, so that x1 line becomes base. So, the measure of base will be y2-y1. To find the perpendicular height from the base, subtract x1 from x3. Then put the results in area of triangle formula.

HELP ASAP!!! THANK YOUUUUU :)
Jeffery surveyed 50 randomly selected workers at a factory. He collected data about the individual output of a worker on an average day. The results are shown using the box-and-whisker plot. What percent of workers have output more than 70 units?
50%
30%
15%
25%

Answers

Answer:

25%

Step-by-step explanation:

Find m4+ 1/m4 , if m− 1/m =3.

Answers

Answer:

119

Step-by-step explanation:

m - 1/m = 3

([tex](m-\frac{1}{m})^{2} = 9\\m^2 - 2 + \frac{1}{m^2} = 9\\ m^2 + \frac{1}{m^2}) = 11\\ \\[/tex]

[tex](m - \frac{1}{m}) ^4\\ = m^4 -4m^2 - \frac{4}{m^2} + 6 = 81\\ m^4 + \frac{1}{m^4} = 75 +4(m^2 + \frac{1}{m^2})\\ m^4 + \frac{1}{m^4} = 75 +4 * 11 = 119[/tex]

pls help me for brainliest answer

Answers

Answer with Step-by-step explanation:

[tex]a)3n + 4 \\ \\n = 1 \\ 3 \times 1 + 4 \\ 3 + 4 \\ =7 \\ \\ n = 2 \\ 3 \times 2 + 4 \\ 6 + 4 \\ = 10 \\ \\ n = 3 \\ 3 \times 3 + 4 \\ 9 + 4 \\ = 13 \\ \\ n = 4 \\ 3 \times 4 + 4 \\ 12 + 4 \\ = 16 \\ \\ n = 10 \\ 3 \times 10 + 4 \\ 30 + 4 \\ = 34 \\ [/tex]

So in this sequence,

1st term = 7

2nd term = 10

3rd term = 13

4th term = 16

10th term = 34

[tex]b)4n - 5 \\ \\ n = 1 \\ 4 \times 1 - 5 \\ 4 - 5 \\ = - 1 \\ \\ n = 2 \\ 4 \times 2 - 5 \\ 8 - 5 \\ = 3 \\ \\ n = 3 \\ 4 \times 3 - 5 \\ 12 - 5 \\ = 7 \\ \\ n = 4 \\ 4 \times 4 - 5 \\ 16- 5 \\ = 11 \\ \\ n = 10 \\ 4 \times 10 - 5 \\ 40 - 5 \\ = 35[/tex]

In this sequence,

1st term = -1

2nd term = 3

3rd term = 7

4th term = 11

10th term =35

find the circumference

Answers

Answer:

37.68 ft

Step-by-step explanation:

d = 2r = 2*6 = 12

so C = 3.14 * 12 = 37.68 ft

Can anyone help me with this answer:
One of the zeroes of the polynomial 2x2 + 7x –4 is
(A) 2
(B)1/2
(C) -1/2
(D) –2

Answers

Answer:

Option B

Step-by-step explanation:

For this we'll put all of these options in place of x

Number 1:

=> [tex]2(2)^2+7(2)-4[/tex]

=> 2(4)+14-4

=> 8+10

=> 18

So, This is not the zero of the polynomial

Number 2:

=> [tex]2(1/2)^2+7(1/2)-4[/tex]

=> 2(1/4)+7/2-4

=> 1/2+7/2-4

=> [tex]\frac{1+7-8}{2}[/tex]

=> [tex]\frac{8-8}{2}[/tex]

=> 0

Yes, This is the zero of the polynomial having zero as an answer

So, We'll end the solution here because we have found the zero of the polynomial.

Hope this helps :)

Convert 14 ft to yd
a.4 2/3 b. 1 1/7 c. 42 d. 168

Answers

Answer:

4 2/3

Step-by-step explanation:

14 ÷ 3 = 4 2/3

3 × 4 = 12

14- 12= 2

Your answer is going to be A :)

Can anyone help me with this please

Answers

Answer:

Your answer would be C

Step-by-step explanation:

using the order of operation which should be done first to evaluate 6+(-5-7)/2-8(3)?

Answers

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

=> [tex]\frac{6+(-5-7)}{2-8(3)}[/tex]

=> [tex]\frac{6+(-12)}{2-24}[/tex]

=> [tex]\frac{6-12}{-22}[/tex]

=> [tex]\frac{-6}{-22}[/tex]

=> [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

he is talking about the edg question so for the 4 answers its A subtract 7 from-5 B multiply 8 and 3 C devide 7 by 2 D add 6 and -5

Solve #1 pls, I need to find the shortest side, median side, and longest side

Answers

Answer:

Shortest side = 39 cm.

Median side = 65 cm.

Longest side = 91 cm.

Step-by-step explanation:

The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.

First, find how much parts there are as a whole, by combining the ratios:

3 + 5 + 7 = 15 parts.

Divide the total of parts from the total measurement:

195/15 = 13

Each part has the measurement of 13 cm.

1 part = 13 cm.

Use the following ratio to solve for each of the sides:

Shortest side: 3

3 x 13 = 39

Shortest side = 39 cm.

Median side: 5

5 x 13 = 65

Median side = 65 cm.

Longest side: 7

7 x 13 = 91

Longest side = 91 cm.

Check. Combine all side measurements together. They should equal 195:

39 + 65 + 91 = 195

(39 + 65) + 91 = 195

(104) + 91 = 195

195 = 195 (True).

~

The diameter of a semicircle is 98 meters. What is the semicircle's radius?

Answers

Answer:

It is 49

Step-by-step explanation:

Divide 98 by 2 to get semicircle radius.

Answer:

49 meters

Step-by-step explanation:

The radius is half of the diameter

98 divided by 2 is 49 which is the radius of the semicircle

Evaluate and match each expression on the left to its value on the right, when x=8 and y=3.

Answers

Answer:

12-y------------> 9

3x-y------------>21

4y-10----------->2

1/4 xy-----------> 6

Solution,

Given,

X=8

y=3

Now,

[tex]1. \: \: 12 - y \\ \: \: \: = 12 - 3 \\ \: \: = 9 \\ 2. \: \: 3x - y \\ \: \: = 3 \times 8 - 3 \\ \: \: = 21 \\ 3. \: \: 4y - 10 \\ \: \: = 4 \times 3 - 10 \\ \: = 12 - 10 \\ \: \: = 2 \\ 4. \: \: \frac{1}{4} xy \\ \: \: = \frac{1}{4} \times 8 \times 3 \\ = 6[/tex]

hope this helps...

Good luck on your assignment...

ims struggling with this question help???

Answers

Answer:

Option 3.

Step-by-step explanation:

Angle E and angle A are corresponding angles, therefore they are congruent angles. Corresponding angles have the same angle.

i dont understand may i have some assitance

Answers

Answer:

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1.

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1

What is the x-intercept of the following function?
h(x) = 4x+3 - 2

Answers

Answer:

Let h(x) = y

y = 4^(x+3) -2

For x intercept let y = 0

2 = 4^(x+3)

2= 2^2(x+3)

1 = 2x +6

2x = -5

2x = -5

Divide by 2

x = -5/2

The x intercept for the function is ( -5/2, 0)

Hope this helps.

Answer:

(-2.5,0)

Step-by-step explanation:

[tex]h(x)=4^{x+3}-2[/tex]

Since the x intercept of a graph is when the y value is 0:

[tex]0=4^{x+3}-2 \\\\2=4^{x+3} \\\\2=(2^2)^{x+3} \\\\2^1=2^{2x+6} \\\\1=2x+6 \\\\2x=-5 \\\\x=-2.5[/tex]

Hope this helps!

Choose the best estimate for the weight of a strawberry A 1 ounce B 8 ounces

Answers

Answer:1 ounce

Step-by-step explanation:

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point E. All sides are congruent. Angle B E A is (3 x minus 12) degrees.
What value of x will make parallelogram ABCD a rhombus?

x =

Answers

Answer:

34

Step-by-step explanation:

Given, parallelogram ABCD  intersect at E.

If the parallelogram has to be a rhombus,diagonals should bisect at 90 degree.

So,angle BEA=90degree

               3x-12=90

               3x=90+12=102

x=102/3=34

Answer:

34 on edge

Step-by-step explanation:

URGENT HELP PLEASE: What are the values of a1 and r of the geometric series?

Answers

Answer:

Third option is the correct choice.

Step-by-step explanation:

[tex]a_1[/tex] is the first term of the sequence which is given to be 1.

[tex]r[/tex] is the common ration which can be found as:

[tex]r=\frac{3}{1}=3\quad r=\frac{9}{3}=3[/tex]

Best Regards!

Answer:

1

Step-by-step explanation:

I got it right

pls answer for branietest

Answers

Answer:

3 5/7

subtract the 3/7

4 3/7 - 3/7 = 4

4 = 28/7

28/7 - 2/7 = 26/7

26 /7 = 3 remainder 5 so 3 5/7

the whole number is the answer and the remainder is the numerator

3 5/7 is the answer

Hope this helps

Step-by-step explanation:

What is the range of f(x)?
-3-2, -1, 0.1
-2 -1 0.1
all real numbers such that -3 all real numbers such that -2

Answers

Answer:

.........................?

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