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Sholpan [36]
3 years ago
8

What is the length of segment BD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share

segment AB and angle B is a right angle, the measure of angle CAB is 34 degrees, the measure of angle BDA is 31 degrees, and the measure of segment AB is 3 units 1.8 units 3.5 units 4.99 units 5.82 units

Mathematics
1 answer:
hichkok12 [17]3 years ago
6 0

Answer:

BD = 4.99 units

Step-by-step explanation:

Consider the triangle ABD only.

The angle formed is 31 degrees which occurs between two sides that are AD and BC.

We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.

Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD

Using formula for tanθ

tanθ = Perpendicular/Base

tan31 = 3/BD

0.601 = 3/BD

BD = 3/0.601

BD = 4.99 units

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musickatia [10]

Check the picture below.

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2 years ago
You drive 75 miles and use 3 gallons of gas, at the same ratio, how may miles can you drive with 12 gallons of gas?
umka2103 [35]

When you say "at the same ratio", you mean that you consume the same amount of gas for the same amount of miles.

We know that everytime you drive 75 miles, you use 3 gallons of gas.

Since 12 gallons of gas is four times 3 gallons of gas, if the ratio remains the same, you can drive four times the distance:

You drive 75 miles, and use 3 gallons.

You drive 75 more miles (so you are at 75+75 = 150 miles) and use 3 more gallons, so you use 3+3 = 6 gallons.

You drive 75 more miles (so you are at 150+75 = 225 miles) and use 3 more gallons, so you use 6+3 = 9 gallons.

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3 years ago
Marilyn uses a credit card with a 19.9% APR compounded monthly to pay for car repairs totaling $991.38. She can pay $410 per mon
Leokris [45]
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The balance subject to the next month's finance charge will be
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The finance charge at the end of the second month will be
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The balance remaining after the second payment will be
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The finance charge applied at the end of the third month is
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so Marilyn can make one final payment of
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to pay off the balance.

In all, Marilyn has paid 2×$410.00 +201.01 = 
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_____
In real life, Marilyn's credit card may not accrue any finance charge until after the first statement on which the charge appears. Thus the total cost of the purchase may be only $1004.02. The attached spreadsheet shows the beginning balance and the finance charges for each month for the two different scenarios.

8 0
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