What is the length of the side of a square field whose perimeter is 72 mº.
Answers
Answer:
18 meters
Step-by-step explanation:
"Perimeter" is all 4 sides added together, right?
Since it's a square, all four sides are equal, so the problem looks like this:
s + s + s + s = 72 where s = side length
Before doing any math, can you think of a number that you could add to itself 4 times and get 72? If not, you get to do some algebra:
s + s + s + s = 72 reduces to:
4s = 72 Then solve for s:
s = 72/4 = 18 m
Check your work by seeing if 4 x 18 = 72. It does, so the answer is correct.
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Simplify 8(x+3)^2/2(x+3)
How high is the tree 4m,5m=cm
Simplify the expression using the variable replacements.2a² – 4bifa= 2andb = 1
Answers
2 sin 2 x cos 2 x - cos 2 x = 0
cos 2 x ( 2 sin 2 x - 1 ) = 0
cos 2 x = 0
2 x = π/2 + nπ / : 2
x 1 = π/4 + nπ/2, n ∈ Z
2 sin 2 x - 1 = 0
2 sin 2 x = 1
sin 2 x = 1/2
2 x = π/6 + 2 nπ
2 x = 5π/6 + 2 nπ
x 2 = π/12 + nπ
x 3 = 5π/12 + nπ , n ∈ Z
Answers
The proportional relationship is W = 1/3 h if the leak has been releasing 2/3 of a liter of water every 2 hours option (B) is correct.
What is a proportional relationship?
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that:
Luke has a situation on his hands. A pipe in his house froze and cracked from cold weather.
The leak has been releasing 2/3 of a liter of water every 2 hours.
Here w represents the amount of water lost and h represents the number of hours
Based on the data given:
We can formulate the number expression:
5/7 - 2/3
= 1/21
The proportional relationship is:
W = 1/3 h
Thus, the proportional relationship is W = 1/3 h if the leak has been releasing 2/3 of a liter of water every 2 hours option (B) is correct.
Learn more about the proportional here:
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Answer:
w= 1/3h
Step-by-step explanation: im late
a. 39.71
b. 26.29
c. 39.71
d. 26.29
Answers
Add 6.71 on both sides
33 + 6.71 = p - 6.71 + 6.71
p = 33 + 6.71
p = 39.71
Your final answer is a. 39.71 and c. 39.71.
hope it would help
Answers
Scale factor = 540/20
Scale factor = 27
Answer:
The scale factor is 3 : 1.
Step-by-step explanation:
We know that,
The scale factor of the dilation of a prism is the cube root of the ratio of the volume of resultant prism after dilation and the volume of the given prism,
Here, the volume of prism before dilation = 20 cube unit,
And, the volume of the prism after dilation = 540 cube unit,
Thus, by the above statement,
Hence, the scale factor is 3 : 1.
3,659 in ^3
11,488 in ^3
2,964 in ^3
944 in ^3
Answers
a) A balloon has a circumference of 28 in. Use the circumference to approximate the volume of the balloon to the nearest cubic inch.
or
b) A balloon has a circumference of 28 in. Use the circumference to approximate the surface area of the balloon to the nearest square inch.
case a)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)----> r=4.46 in
volume of a balloon=(4/3)*pi*r³-----> (4/3)*pi*4.46³----> 371.61 in³
Volume=372 in³
the answer is
372 in³
case b)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)----> r=4.46 in
surface area of a balloon=4*pi*r²-----> 4*pi*4.46²---> 249.83 in²
Surface area=249.83 in²-------> 250 in²
the answer is
250 in²