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MaRussiya [10]
3 years ago
12

Karen claps her hand and hears the echo from a distant wall 0.113 s later. How far away is the wall? The speed of sound in air i

s 343 m/s
Mathematics
1 answer:
insens350 [35]3 years ago
3 0

Answer:

19.3795 m

Step-by-step explanation:

If sound travels at 343 m/s and it took Karen 0.113 s to hear the echo from the wall, the distance travelled by the sound is:

D=343\frac{m}{s} *0.113\ s\\D= 38.759\ m

Note that the distance calculated above is the distance travelled from Karen to the wall and then back from the wall to Karen. Therefore, the distance between Karen and the wall is:

d=\frac{38.759}{2}\\d=19.3795\ m

The wall is 19.3795 m away from Karen.

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The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is
Lerok [7]

Answer:

20 cm

Step-by-step explanation:

5x + 32 + 6x + 4 = 80

11x + 36 = 80

11x = 44

x = 4

sides of triangle:

5(4) = 20 cm

32 cm

6(4) + 2 = 26 cm

4 0
2 years ago
What is the answer to 16> 1.5 + 0.8b
user100 [1]

Answer:

16>2.3b

Step-by-step explanation:

1.5+0.8=2.3

Substitute b as 1. Which would still keep it as 2.3.

8 0
3 years ago
If k=9 and x=5, find the value of the expression: <br> 2k - X<br><br> Please hurry
il63 [147K]

Answer:

\huge\boxed{13}

Step-by-step explanation:

= 2k - x

Given that k = 9, x = 5

= 2(9) - 5

= 18 - 5

= 13

\rule[225]{225}{2}

Hope his helped!

<h3>~AH1807</h3>
8 0
3 years ago
Please help with these two problems. Show work
MissTica

Answer:

For the first one, it is 1150. For the second one, it is 2460.

Step-by-step explanation:

Think of 23 x 50 as (20 x 50) + (3 x 50).

20 x 50 is 1000. 3 x 50 is 150. 1000 + 150 is 1150.

Think of 30 x 82 as (30 x 80) + (30 x 2)

30 x 80 is 2400. 30 x 2 is 60. 2400+60 is 2460.

3 0
3 years ago
Read 2 more answers
A student has a 30% chance of receiving chocolate ice cream for dessert at lunch. A statistics class designs a simulation to app
Nadusha1986 [10]

The count of the sections the class should label as "Chocolate Ice Cream" is 3.

<h3>How to calculate the probability of an event?</h3>

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For the considered case, it is given that:

Probability of an student getting Chocolate Ice Cream for dessert at lunch =  30% = 0.3

The count of the sections the class should label as "Chocolate Ice Cream" should be such that spinner getting "Chocolate Ice Cream" as option should have the probability as 0.3

Let the count of the sections the class should label as "Chocolate Ice Cream"  be x

Then, as there are in total 10 sections in the spinner, and all sections are assumingly equally probable, thus, if the event E is:

E = event of getting "Chocolate Ice Cream" in the spinner ,

then as n(E) = x (as there are x sections with label "Chocolate Ice Cream")

and n(S) = total count of sections (size of sample space)  = 10

Thus, we get probability of event E as:

P(E) = \dfrac{n(E)}{n(S)} = \dfrac{x}{10}

This needs to be equal to 0.3, thus,

0.3 = \dfrac{x}{10}\\x = 3


Thus, the count of the sections the class should label as "Chocolate Ice Cream" is 3.

Learn more about probability here:

brainly.com/question/1210781

3 0
2 years ago
Read 2 more answers
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