A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The carpenter knows that angle AD
C is a right angle and that m angle BDC is 32degrees greater than m angle ADB. Write and solve an equation to find m angle BDC and m angle ADB.
1 answer:
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1. PQR and is a right triangle, so you can calculate the measure of PQ by applying the Pythagorean Theorem. PR is the hypotenuse and QR and PQ are the legs:
2. PQS and is a right triangle too, so you can calculate the measure of PS by applying the Pythagorean Theorem as above. PS is the hypotenuse and PQ and QS are the legs:
Therefore, the answer is: The value of PS is 13.
By definition, the density is given by:
Where,
m: mass
V: volume
Clearing the mass we have:
The volume is given by:
Then, we have the following conversion:
Applying the conversion we have:
On the other hand we have the following conversions:
Applying the conversions for the density we have:
Then, the mass of the water is:
Answer:
1190 kilgrams of water are required to fill the waterbed