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Lady_Fox [76]
3 years ago
5

Geometry math question no Guessing and Please show work thank you

Mathematics
1 answer:
NARA [144]3 years ago
5 0

Bisect means cut in half. If m<ABD is 66 degrees, the only thing you need to do is to take 66/2 and your answer is 33 degrees:)

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The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?
Serhud [2]

Answer:

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

Step-by-step explanation:

Given - The circumference of the ellipse approximated by C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }where 2a and 2b are the lengths of 2 the axes of the ellipse.

To find - Which equation is the result of solving the formula of the circumference for b ?

Solution -

C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi }  =  \sqrt{\frac{a^{2} + b^{2} }{2} }

Squaring Both sides, we get

[\frac{C}{2\pi }]^{2}   =  [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2}  }   =  {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2}  }   =  {{a^{2} + b^{2} }

\frac{C^{2} }{2(\pi )^{2} }  = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} }  -  a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}  = b

∴ we get

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

8 0
3 years ago
Jordan has $40 to spend at the yard sale. He buys 6 books for $2 each. He would like to spend the rest of his money on model car
Deffense [45]

Answer:

He can buy 4 model cars

Step-by-step explanation:

∵ His total money = the cost of books + the cost of model cars

∵ He buys 6 books and the price of each book is $2

∵ The cost of each model car is $7 , let the number of model cars is c

∵ He has $40

∴ 6 × 2 + 7 × c = 40

∴12 + 7c = 40

∴ 7c = 40 - 12 = 28

∴ c = 28/7 = 4

∴ He can buy 4 model cars

5 0
3 years ago
(SAT Prep) Find the value of x.
AveGali [126]

Answer:

x = 155

Step-by-step explanation:

First find the missing angle in the smaller triangle.

We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55

Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.

The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.

The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.

8 0
3 years ago
Read 2 more answers
The following balances are listed for the past three annual statements:
kenny6666 [7]

Answer:

around 13,000

Step-by-step explanation:

it goes up 1,000 a year normally so the estimated amount for next year is 13,000

hope this helps:) sorry if I'm wrong

7 0
3 years ago
21. highlight where values show f(x) &lt; g(x) and what is the answer22. highlight where values show g(x) &lt; 0 and what is the
nika2105 [10]

21. the values of x such f(x) < g(x):

\begin{gathered} x\in(-3,0) \\ and \\ x\in(4,7) \end{gathered}

22. The values of x such g(x) < 0:

\begin{gathered} x\in\lbrack-8,0) \\ and \\ x\in(1,3) \\ and \\ x\in(7,10) \end{gathered}

8 0
1 year ago
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