Answer:
23/57
Step-by-step explanation:
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In this item, we are given with the amounts of both the flour and sugar.
Part A:
First, we determine the total amount of recipes needed for the batch.
total amount = (4 1/5 cup) + (2 3/7 cup)
total amount = 232/35 cup
To determine the total amount of sugar needed for 4/9 of the recipe, we multiply the given amount of sugar by 4/9. That is,
amount of sugar = (4/9)(2 3/7)
<em> amount of sugar = 68/63 cups of sugar</em>
Part B: To determine the amount of flour needed is 3 times the given amount for each batch.
amount of flour = (3)(4 1/5 cups of flour)
<em> amount of flour = 63/5 cups or 12.6 cups of flour</em>
Answer:
The pythagorean identity that is correct is option B:
B. tan^2(theta)+1=sec^2(theta)
Step-by-step explanation:
The pythagorean identities are:
1.) sin^2(theta) + cos^2(theta) = 1
2.) tan^2(theta) + 1 = sec^2(theta)
3.) 1 + cot^2(theta) = csc^2(theta)
Then the pythagorean identity that is correct is option B:
B. tan^2(theta)+1=sec^2(theta)
The answer would be <QRZ
Since you are looking for an angle congruent to <UQR using the alternate interior angles theorem, interior suggests that the angle must be inside the parallel lines, se we can get rid of options <WRT and <TRZ since they are exterior angles
Furthermore, in the alternate interior angles theorem, the two angles must be alternate or opposite of each other which would show that the only possible answer would be <QRZ
hope this helped!
Answer:
3
Step-by-step explanation: