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sladkih [1.3K]
3 years ago
7

Please use statement and reason, not sin cos or tan. In rectangle ABCD the diagonals intersect each other at point O and ABD = 3

0. Find BC if AC = 16 in. Include a picture if you can, but you don't have to.
Mathematics
1 answer:
zvonat [6]3 years ago
3 0

Answer:

  • 8 in

Step-by-step explanation:

  • Rectangle has properties:
  • Diagonals are congruent
  • Opposite sides are congruent
  • All angles are right
<h3>Given</h3>
  • m∠ABD = 30°
  • AC = 16 in
  • BC = ?
<h3>Solution</h3>

<u>As per properties mentioned above we have:</u>

  • BC = AD
  • BD = AC = 16 in

ΔABD is right triangle with ∠B - 30°, ∠A- 90°, ∠D - 60°

Side opposite to 30 is half of the length of the hypotenuse

<u>AD is opposite to ∠B and BD is the hypotenuse, then:</u>

  • AD = 1/2*BD
  • AD = 1/2(16)
  • AD = 8 in

and

  • BC = AD = 8 in
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Answer: 4(2x²+9) or i\frac{3\sqrt{2} }{2}

Step-by-step explanation:

To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.

8x²=-36            [add both sides by 36]

8x²+36=0

When it comes to factoring, we want to pull out numbers or variables that are common in each term.

8x²+36=0         [take out a 4 in each term]

4(2x²+9)=0

It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.

To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).

4(2x²+9)=0       [divide both sides by 4]

2x²+9=0            [subtract both sides by 9]

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3 years ago
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Answer:

y = 18x + 10

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Step-by-step explanation:

The situation given in the problem is linear and can be represented using slope-intercept form of a linear equation: y = mx + b, where 'm' is equal to the slope, 'b' is equal to the y-intercept, 'x' is the number of hours and 'y' is the total number of miles.  

Given that Jasmine has already biked 10 miles, her initial value, or y-intercept would be 10.  Since she is now biking at a rate of 18 miles per hour, her rate of change, or slope, would be 18.  

Using these values for 'm' and 'b': y = 18x + 10

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the length of a rectangle is 9 centimeters more than the width. the area is 112 square centimeters. find the length and width of
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Here,
let width(b)be x then,
length (l)=9cm+x
area =112 sq cm
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area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
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either,
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x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
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Answer:

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Moreover, in a multitude of tests, the f-statistics is used such as regression analysis, the Chow test and the Scheffe test (a post-hoc ANOVA test).

One should be using Excel, SPSS, Minitab or some other form of software to run the experiment if you are running a F test.

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