Answer:
-64
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Step-by-step explanation:
multiplying by -4 each time
AB = 6 cm, AC = 12 cm, CD = ?
In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.
Since ∠BDC = 55°, ∠CBD = 90°, and there are 180 degrees in a triangle, we know ∠DCB = 180 - 55 - 90 = 35°
In order to find ∠BCA, use the law of sines:
sin(∠BCA)/BA = sin(∠CBA)/CA
sin(∠BCA)/6 cm = sin(90)/12 cm
sin(∠BCA) = 6*(1)/12 = 0.5
∠BCA = arcsin(0.5) = 30° or 150°
We know the sum of all angles in a triangle must be 180°, so we choose the value 30° for ∠BCA
Now add ∠BCA (30°) to ∠DCB = 35° to find ∠DCA.
∠DCA = 30 + 35 = 65°
Since triangle DCA has 180°, we know ∠CAD = 180 - ∠DCA - ∠ADC = 180 - 65 - 55 = 60°
In triangle DCA we now have all three angles and one side, so we can use the law of sines to find the length of DC.
12cm/sin(∠ADC) = DC/sin(∠DCA)
12cm/sin(55°) = DC/sin(60°)
DC = 12cm*sin(60°)/sin(55°)
DC = 12.686 cm
1) y = 1x + 95.50
x = number of bandanas
2) y = (1 • 50) + 95.50
$145.50 for 50 bandannas
3) 116.50 = 1x + 95.50
get x by itself
116.50 = 1x+ 95.50
-95.50 -95.50
21 = 1x
divide by 1
21 = x
you get 21 bandannas when you pay $116.50
Answer:
3
Step-by-step explanation:
there are 3 more markers than pencils
<span>A Binomial experiment has independent trails, and the outcome of a trial can be classified as either a success or a failure. Which two of the following statements also describe features of a binomial experiment?
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