<u>⇨ By prime factorization method:</u>
Answer:
Number of cups of dough needed = 15 cups
Step-by-step explanation:
Cup of dough needed for each dumpling = 4/5 cup of dough
Total dumplings = 12
how many cups of dough does Aubrey need to make 12 dumplings?
Number of cups of dough needed = Total dumplings / Cup of dough needed for each dumpling
= 12 ÷ 4/5
= 12 × 5/4
= 60/4
= 15
Number of cups of dough needed = 15 cups
I don't exactly understand what you're asking, 36 feet does not need to be rounded to the nearest tenth as it is a whole number. Do you mean rounded to 40? (As that would be the nearsest multiple of 10) I'm a bit lost, but hopefully that helps
Answer:
The distance is: 
Step-by-step explanation:
The distance of point E to the PQR plane it is the hight (vertical) of piramid PRQE
If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE than:
EP = EQ = ER = 0.5EF = 3 cm and m∠REQ = m∠QEP = m∠REP = 90° so triangles RQE, QPE and PRE are congruent.
RQ = QP = PR so triangle PQR is equilateral and from Pythagorean theorem (for ΔRQE):
Then: 
and: 
Therefore from Pythagorean theorem (for ΔERK):
Answer:
1st is 30 and 16. 2nd is reduction. 3rd is scale factor of 2/3
Step-by-step explanation:
#1 you dilate by a scale factor of 2 so you just multiply all the sides by 2 to get your answer. 15x2=30 and 8x2= 16.
#2 it is a reduction because m', s', and v' are smaller then m, s, and v
#3 the scale factor is 2/3 because you do the image over the pre-image so -2,2 / -3,3 is 2/3 same is 4,2 / 6,3 and 2,-2 / 3, -3
