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Gemiola [76]
2 years ago
9

Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?

Mathematics
1 answer:
Kay [80]2 years ago
6 0

Answer:

Step-by-step explanation:

By applying tangent rule in the given right triangle AOB,

tan(30°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

\frac{1}{\sqrt{3}}=\frac{BO}{OA}

OA=BO(\sqrt{3})

By applying tangent rule in the given right triangle BOC,

tan(60°) = \frac{OC}{BO}

OC = BO(√3)

OA + OC = AC

BO(\sqrt{3})+BO(\sqrt{3}) =60

2√3(BO) = 60

BO = 10√3

OC = BO(√3)

OC = (10√3)(√3)

OC = 30

By applying tangent rule in right triangle DOC,

tan(60°) = \frac{OD}{OC}

OD = OC(√3)

OD = 30√3

Since, BD = BO + OD

BD = 10√3 + 30√3

BD = 40√3

      ≈ 69.3

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What number goes into 88 and 60 both
almond37 [142]
2 and 4 because we all now 2 because every even number is in 2 and 88 divide 4 is 22 and 60 divide 4 is 15
7 0
3 years ago
4 friends have more than 7 stickers and less than 13 stickers they share the stickers evenly how many stickers NEED HELP
mash [69]
Well,  there can be two answers. So, plus 3 other friends (4 people total) are sharing stickers.
To answer this, all you need to do is count by four. 
4 is not greater than 7 so can not be the answer
4+4 or 8 IS greater than 7 and less than 13 so it can be the answer
4+4+4 or 12 IS ALSO GREATER THAN 7 and less than 13 so it can be the answer
4+4+4+4 is 16 and is greater than 13 so it cannot be the answer
SO it is either 8 or 12 stickers
3 0
3 years ago
The product of 12 and k is 84.<br><br> Solve for k.
Mrac [35]

Answer:

The product of 12 and k is 84

According to the given problem, the equation is

\boxed{12k = 84} \\ k =  \frac{84}{12}  \\  \boxed{k = 7}

  • <u>k = 7</u> is the right answer.
5 0
2 years ago
Please help ASAP!!! Thank you so much!!! Just want confirm my answer it is y=150x-50. A concession stand at a football game took
jekas [21]

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

=============================================

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

m = (y2 - y1)/(x2 - x1)

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b =  -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

-------

As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

3 0
3 years ago
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