In this question, let us first note down all the important information's that have been provided in the question.
The number of people that Adam is cooking for = 14
Amount of turkey required per person = 3/4 pounds
Now
Total amount of turkey required by Adam to cook for 14 people = (3/4) * 14
= 21/2
So 21/2 pound of turkey is required by Adam to cook for 14 people. This weight of turkey has to be converted to gram first and then to kilogram.
We already know
1 lb = 450 g
Then
21/2 lb = 450 * (21/2) gram
= 225 * 21
= 4721 gram
Now again we know
1000 g = 1 kg
4721 gm = (4721/1000) kg
= 4.721 kg
So Adam needs to have a turkey weighing 4.721 gram to cook for the 14 people. I hope the procedure is clear to you.
<h3>Answer: 7 goes in the blank space</h3>
The range of values for x is 2 < x < 7
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Explanation:
The hinge theorem says that the larger the opposite side is, the larger the angle will be.
AD = 11, DC = 8
Since AD > DC, this means angle ABD > angle DBC.
--------
angle ABD > angle DBC
20 > 4x-8
20+8 > 4x-8+8 ... add 8 to both sides
28 > 4x
4x < 28 ... flip both sides and the inequality sign
4x/4 < 28/4 ... divide both sides by 4
x < 7
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At the same time, the angle 4x-8 cannot be 0 or negative.
So we say 4x-8 > 0. Let's solve this for x.
4x-8 > 0
4x-8+8 > 0+8 ... add 8 to both sides
4x > 8
4x/4 > 8/4 ... divide both sides by 4
x > 2
2 < x ... flip both sides and the inequality sign
--------
We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7
We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.
Answer:
Step-by-step explanation:
Given
Required
Find 
From the attachment:
The measure of is calculated using the following expression:
Where
-- right-angled.
The expression becomes
I’m here to help.
For this question here you need to use the sine formula for the area of a triangle and figure out the area of the sector
I’ll take you through it step-by-step
Area of the arc:
We only have 68.9 degrees out of 360 and we need to use the formula for the area of a circle.
Formula of a circle = pi x radius squared
68.9/360 x pi x 86.1184= 51.78 (2dp)
Area of triangle:
As you can see we have no height so we must use the sine formula for the area of a triangle.
Formula= 1/2abSinC
You should end up with
0.5 x 9.28x 9.28 x Sin(68.9)= 40.17 (2dp)
Now since you want the area of the segment shaded, just find the difference between these two values.
51.78-40.17 = 11.61
Answer= 11.6cm squared
Hope this helped!
