The spring will be stretched 18.2 inches by force of 26 pounds.
Step-by-step explanation:
7 pound stretches the spring = 4.9 inches
Ratio of force to spring = 7:4.9
New force = 26 pounds
Spring stretched = x
Ratio of new force to spring = 26:x
Using proportion;
Ratio of force to spring :: Ratio of new force to spring
Product of mean = Product of extreme
Dividing both sides by 7
The spring will be stretched 18.2 inches by force of 26 pounds.
Keywords: ratio, proportion
Learn more about proportions at:
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Answer:
1. The value of x is 9.4.
2. The value of y is 17.7.
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 32°
Hypothenus = y
Opposite = x
Adjacent = 15
1. Determination of the value of x.
The value of x can be obtained as follow:
Angle θ = 32°
Opposite = x
Adjacent = 15
Tan θ = Opposite /Adjacent
Tan 32° = x/15
Cross multiply
x = 15 × Tan 32°
x = 9.4
Therefore, the value of x is 9.4
2. Determination of the value of y.
The value of y can be obtained as follow:
Angle θ = 32°
Hypothenus = y
Adjacent = 15
Cos θ = Adjacent /Hypothenus
Cos 32° = 15/y
Cross multiply
y × Cos 32° = 15
Divide both side by Cos 32°
y = 15/Cos 32°
y = 17.7
Therefore, the value of y is 17.7.
"<span>Angel has $29 to order shirts online. Each shirt costs $5, and there is an $8 shipping charge. How many shirts, x, can Angel buy"
This one would not work because of the fact that the shipping charge is being multiplied by the amount of shirts, which is not how a shipping charge would be calculated.</span>
We are told that Tristan is planting a garden that's square shaped and its area is 64 square meters. Because 8 * 8 = 64, we have a square where each side is 8 meters along.
From an algebra point of view, where s is a side of the square,
s² = 64
s = 8 or s = -8 by taking square roots of both sides
s = 8 by discarding the -8 (lengths cannot be negative)
Now that we know a square's side we need its perimeter. Each side is the same, so a square's perimeter is four times a side.
4 * 8 = 32, which is our perimeter.
Therefore 32m² of material are needed.
Answer:
See below
Step-by-step explanation:
<u>Mercury-2.3 cm </u> The hundreths value isn't greater than 5, so the tenths stays the same.
<u>Venus - 4.3 cm</u> The hundreths value isn't greater than 5, so the tenths stays the same.
<u>Earth-6 cm</u> There is no hundreths value so the tenths stays the same.
<u>Mars-9.1 cm</u> The hundreths value isn't greater than 5, so the tenths stays the same.
<u>Jupiter- 31.1 cm</u> The hundreths value isn't greater than 5, so the tenths stays the same.
<u>Saturn- 57.4 cm</u> The hundreths value <u><em>is</em></u> greater than 5, so the tenths values is raised by 1.
<u>Uranus-114.9 cm </u> The hundreths value isn't greater than 5, so the tenths stays the same.
Neptune-179.8 cm There is no hundreths value so the tenths stays the same.