Sherrell mowed 1/15 more than Trace because when you convert the fractions to equivalent fractions with the same denominator, you get 6/15 and 5/15.
Answer:
For number 2 the answer is 8/6=20/15
The answer for 3 is 12:26
Step-by-step explanation:
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➷ Housing: 1800/4500 x 100 = 40%
Transportation: 800/4500 x 100 = 17.7%
Utilities: 175/4500 x 100 = 3.8%
Food: 550/4500 x 100 = 12.2%
Savings: 300/4500 x 100 = 6.6%
Loan: 300/4500 x 100 = 6.6%
Other: 575/4500 X 100 = 12.7%
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➶ Hope This Helps You!
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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
<span> sorry it's such a long answer 111.278928823</span>
