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Artyom0805 [142]
3 years ago
8

Finding the work done in stretching or compressing a spring.

Mathematics
1 answer:
k0ka [10]3 years ago
4 0

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

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Please help me if you can. please show how you got the answer.
fomenos

Answer:

Step-by-step explanation:

The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:

\frac{x}{4.5}=\frac{15.3+7.4}{7.4} which simplifies a bit to

\frac{x}{4.5}=\frac{22.7}{7.4} and cross multiply to solve for x:

7.4x = 102.15 so

x = 13.8  That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:

A = (3.14)(6.9)² and

A = 3.14(47.61) so

A = 149.5 which rounds to 150, Choice C

5 0
3 years ago
Is the statement (3^5)^4 equal to (3^4)^5 ? explain the reasoning, DUE TOMORROW
Shkiper50 [21]

Note that both 5 and 4 are exponents, and their product is 5*4=20, or 4*5=20. Thus,

(3^5)^4 is equal to (3^4)^5

Review:

(a to the power b)to the power c = a to the power bc.

Thus, (3 to the power 5)^4 = 3^20; the same is true if you reverse the positions of the 5 and the 4.

4 0
3 years ago
Read 2 more answers
Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in s
vagabundo [1.1K]

Answer:

y = -0.2x - 5.8

Step-by-step explanation:

If a line is given in the form y = mx + b, the "m" is the slope.

For the line given y = 5x, the slope is 5

The line that is perpendicular to this will have slope that is "negative reciprocal of that".

So, the perpendicular line will have slope of  -\frac{1}{5}

So, the Perpendicular Line will have equation:

y = -1/5x + b

Let's find b by replacing x with 6 and y with -7 [the point given]. So we have:

y=-\frac{1}{5}x+b\\-7=-\frac{1}{5}(6)+b\\-7=-\frac{6}{5}+b\\b=-7+\frac{6}{5}\\b=-5.8

So the equation of perpendicular line = y = -0.2x - 5.8

4 0
3 years ago
Y = 5- 2<br> 1-3x + y = -12<br><br> What is the value of x and y ?
zloy xaker [14]

Answer:

x=5.333

y=3

Step-by-step explanation:

given, y=5-2............(1)

1-3x+y=-12...............(2)

y=5-2=3

put y=3 in equ (2)

1-3x+3=-12

1+3+12=3x

3x=16

x=\frac{16}{3}

x=5.333

hence, x=5.333

           y=3               answer

7 0
3 years ago
Ht) = -16t+32t+ 10.​
KonstantinChe [14]
Answer:
16t + 10

Explanation:
Step 1 - Add like terms

-16t + 32t + 10
16t + 10
5 0
3 years ago
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