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user100 [1]
4 years ago
8

A rectangular board has a perimeter of 28 feet. if the length is twice the width minus 1 foot, then what is the length of the bo

ard
Mathematics
1 answer:
Westkost [7]4 years ago
4 0
P = 2(L + W)
P = 28 
L = 2W - 1

28 = 2(2W - 1 + W)
28 = 2(3W - 1)
28 = 6W - 2
28 + 2 = 6W
30 = 6W
30/6 = W
5 = W ....width is 5 ft

L = 2W - 1
L = 2(5) - 1
L = 10 - 1
L = 9 <=== length is 9 ft
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Find Lm=<br> Help me please thanks
Ymorist [56]

A triangle is a three-edged polygon with three vertices. The length of LM is 3√3 cms.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The triangle formed by MN, MO, and NO is an equilateral triangle, with the length of each side of the triangle equal to the radius of the triangle. Therefore, the length of MN will be,

MN = r

Now, the length of arc MN can be written as,

2 × π × r × (60° /360°) = π

r = 360 / (60 × 2)

r = 3 cms

Further, the radius of the circle can be written as,

LO = ON = OM = MN = Radius = 3 cms

Since, the triangle formed in a semicircle is a right-angle triangle, therefore, using the Pythagorean theorem we can write,

LM² + MN² = LN²

LM² + MN² = (LO + ON)²

LM² + r² = (r+r)²

LM² + r² = 4r²

LM² = 3r²

LM² = 3(3²)

LM = √27 cms

LM = 3√3 cms

Hence, the length of LM is 3√3 cms.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

4 0
2 years ago
What is four hundred eight thousand,seventeen in standard form and expanded form?
mestny [16]
408,017 is in standard form and
400,000+8,000+10+7=408,017 is expanded form
sixty five thousand and fifty eight is word form
60,000+5,000+50+8=65͵058 is expanded form
6 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu.
ruslelena [56]

The independent variable in the relationship is the <u><em>Number of Months</em></u> and should be placed on the<em> </em><u><em>x-axis</em></u>

The dependent variable in the relationship is the <em><u>Number of Fish</u></em> and should be placed on the <u><em>y-axis</em></u>

Step-by-step explanation:

Let us explain the independent and dependent variables of a relation

  • The independent variable is the input of the relation
  • The dependent variable is the output of the relation
  • The values of dependent variables depend on the values of independent variables
  • When the relation represented graphically the independent variable placed on the x-axis and the dependent variable placed on the y-axis

The table:

→ Number of Months:  0       :  1         :  2       :  3          :  4

→ Number of Fish      : 1,024 :  1,280 :  1600 :  2,000  :  2,500

Let us check is their any constant ratio between the consecutive values of the number of fish

∵ 1,280 ÷ 1,024 = 1.25

∵ 1,600 ÷ 1.280 = 1.25

∵ 2,000 ÷ 1,600 = 1.25

∵ 2,500 ÷ 2,000 = 1.25

∴ The table represent an exponential function, where the input

   is the number of months and the output is the number of fish

∵ The input is independent variable

∴ The independent variable is the number of months

∵ The output is the dependent variable

∴ The dependent variable is the number of fish

∵ The independent variable is placed on the x-axis

∴ The number of months should be place on the x-axis

∵ The dependent variable is placed on the y-axis

∴ The number of fish should be place on the y-axis

The independent variable in the relationship is the <u><em>Number of Months</em></u> and should be placed on the<em> </em><u><em>x-axis</em></u>

The dependent variable in the relationship is the <em><u>Number of Fish</u></em> and should be placed on the <u><em>y-axis</em></u>

<u><em /></u>

Learn more:

You can learn more about the relation in brainly.com/question/10708697

#LearnwithBrainly

6 0
3 years ago
an airplane is 4,000 feet above the ground .it begins to descend at a rate of 140 feet per minute.how many minutes will it take
kobusy [5.1K]

Answer:

10

Step-by-step explanation:

4 0
3 years ago
If 15% off an item cost 36.21 then what would 100% of the item be?
harina [27]
1-0.15=0.85
36.21/0.85=42.6=ANSWER
3 0
3 years ago
Read 2 more answers
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