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Answer:
a = -5
Step-by-step explanation:
(5 - 3)/(5 - a)
2/(5 - a)
perpendicular of 2/(5 - a) = -(5 - a)/2
(a - 0)/(1 - 0) = -(5 - a)/2
a/1 = -(5 - a)/2
2a = -5 + a
a = -5
Answer:
242.52 cubic inches
Step-by-step explanation:
Volume of the cake pan = Length × Width × Height
From the about question, we have the following dimensions for the cake pan
8 inches wide = Width
11 inches long = Length
7 cm deep = Height
We are asked to find the maximum volume in inches. Hence all the dimensions have to be in inches.
Converting Height in cm to inches
From the question,
2.54 cm = 1 inch
7cm = x inch
Cross Multiply
2.54 × x = 7 × 1
x = 7/2.54
x = 2.7559055118 inches
Volume of the cake pan =
8 × 11 × 2.7559055118
= 242.51968504 cubic inches
Approximately, the volume of the cake pan = 242.52 cubic inches
What is the maximum volume, in cubic
inches, the cake pan can hold is 242.52 cubic inches
You know the adjacent and you need to find the opposite, so you would use tangent. Your equation would look like this; tan 26°= x/28. You would need to multiply both sides by 28 to simplify it to this; 28*tan 26°= x
Solving this, you would get an answer of 13.7
Given:
Free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.
Each bucket of ice cream costs $7.28
Each bucket of frozen yogurt costs $8.21.
To find:
The inequality represents number of ice cream and frozen yogurt that she may buy in addition to get a free ice cream maker.
Solution:
Let i be the number of buckets of ice cream and y be the number of buckets of frozen yogurt.
According to the question, total amount spend on both must be greater than or equal to $100 to get a free ice cream maker.


Divide both sides by 8.21.

Therefore, the required inequality is
.