Answer:
5
Step-by-step explanation:
5+7
Answer:
15.25
Step-by-step explanation:
Answer:
c.9
Step-by-step explanation:
Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredients. His recipe calls for 2 1 /2 cups of sugar for the cake and 1 1/ 4 cups of sugar for the vanilla glaze. How many 1 /4 -cup scoops of sugar does he need? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer:
15
Step-by-step explanation:
We are given
Mr. Smith's recipe calls for 2 1/2 cups of sugar for the cake and 1 1/4 cups of sugar for the vanilla glaze.
The total amount of sugar he would need
2 1/2 + 1 1/4
= (2 + 1) + (1/2 + 1/4)
= 3 3/4 cups of sugar.
We need this amount of sugar in 1/4 cup scoops.
This is calculated as:
let x be the number of scoops needed
x * 1/4 = 3 3/4
x* 1/4 = 15/4 ( 3 3/4 = 15/4)
x= 15
Therefore, he would be needing 15 , 1/4 cup scoop of sugar
9514 1404 393
Answer:
A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.
Step-by-step explanation:
In this geometry, all of the right triangles are similar. That means corresponding sides have the same ratio (are proportional).
Here, SQ is the hypotenuse of ΔSQT and the short side of ΔRQS.
Those two triangles are similar, so we can write ...
(short side)/(hypotenuse) = QT/SQ = QS/RQ
In the above proportion, we have used the vertices in the same order they appear in the similarity statement (ΔSQT ~ ΔRQS). Of course, the names can have the vertices reversed:
QT/SQ = SQ/QR . . . . . QS = SQ, RQ = QR
__
When this is rewritten to solve for SQ, we get ...
SQ² = QR·QT
SQ = √(QR·QT) . . . . SQ (short side) is the geometric mean of the hypotenuse and the short segment.
