The weight of James cake in ounces is 52 ounces and the Pint of water dispensed in 20 seconds is 24 pints
<h3>Weight</h3>
- Weight of cake = 3 1/4 pounds
1 pound = 16 ounces
Number of ounces the cake weigh = 3 1/4 pounds × 16 ounces
= 13/4 × 16
= (208) / 4
= 52 ounces
- Water dispensed per second = 0.15 gallons
- Number of seconds = 20 seconds
1 gallon = 4 quarts
0.15 gallon = 0.6 quarts
1 quart = 2 pints
0.6 quart = 1.2 pints
Pint of water dispensed in 20 seconds = 1.2 × 20
= 24 pints of water
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Answer:
35
Step-by-step explanation:
5 x 7 = 35
Answer: POQ = 125
Step-by-step explanation: If you don’t want to read my long explanation, I drew a diagram of my work. :>
First we need to establish that POQ is a vertical angle to SOT, this makes the angles equal. We also need to establish that because the definition of an altitude, that T And S both form right angles. (An altitude is a perpendicular segment from a vertex of a triangle to the opposite side.) Now let’s take a look at the quadrilateral that is formed inside the triangle, the quadrilateral being RSOT. Luckily we know the measure of three of the angles, R=55, T=90, and S=90. If you didn’t know beforehand all angles of a quadrilateral add up to 360, so we can add up the angles we’ve already found to find the missing angle O/ SOT. When we add the angles, and then subtract that from 360 we get 125, so SOT=125. Remember that we established that SOT and POQ are vertical angles, so if SOT=125 then POQ=125.
I really hoped my explanation was good, this was my first time giving an answer. Also I’m sorry if my method of finding the answer wasn’t helpful, but this was the only way I could think of.
I accidentally gave myself a one star rating, that sucks.
These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.
Obtuse: c^2 > a^2 + b^2
Acute: c^2 < a^2 + b^2
Right: c^2 = a^2 + b^2
#7 --- Obtuse
21^2 ___ 8^2 + 15^2
441 ___ 64 + 225
441 > 289
#8 --- Right
20^2 ___ 12^2 + 16^2
400 ___ 144 + 256
400 = 400
#9 --- Acute
6^2 ___ 4^2 + 5^2
36 ___ 16 + 25
36 < 41
Hope this helps!