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adoni [48]
2 years ago
10

The circle below has center H. Suppose that m FG = 44°. Find the following.

Mathematics
1 answer:
ss7ja [257]2 years ago
5 0
Answer:

Angle FEG = 22
Angle FHG = 44

Explanation: Angle FHG is a central angle; meaning it’s according arc is the same.

Angle FEG is an inscribed angle. Its according arc is half of it.
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4x-1divide by 2=x+7<br> what is x
sertanlavr [38]
X= 2.5
just move the terms collect the terms calculate it, divide both sides !!
6 0
3 years ago
Find the volume of this cylinder.<br> Give your answer to 1 decimal place.<br> 9 cm<br> 20 cm
7nadin3 [17]
If 9 is the radius and 20 is the height then it would be 5089.4 cm^3
7 0
3 years ago
A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

The farmer should plant 14 additional trees, for maximum yield.

5 0
3 years ago
The formula to find the area of the walls of a rectangular room is A=2h (l+b), h is wall height, l is room length, and b is room
Allisa [31]
Problems are very often written in a confusing way. This one couldn't possibly have been
written any more clearly.  Sooner or later, you have to stop telling yourself that you have
no clue, settle down, and carefully read the words that are right there on the page.

I'll tell you one more detail that's not in the problem:  "breadth" means "width".
 
Now.  The problem clearly tells you all of these things, in this exact order:

=>  Area of the walls = (2 x height) x (length + width)

=>  length = 8m
=>  width = 6m
=>  height = 2.5m 

Is there a reason you can't take the numbers for length, width, and height,
and write them in the formula for the area ?  Do I have to do all the work ?

Area = (2 x height) x (length + width)

Area = (2 x 2.5m ) x ( 8m    +   6m  )

Do the arithmetic inside the parentheses:

Area = (    5m     ) x (     14m          )

Do the multiplication:

Area = <u>70 m² .</u>

You will never see a problem that comes any closer to answering itself <em>for </em>you.
8 0
3 years ago
HELP SOON PLEASE HELP! The dimensions of a rectangle are 8 1/2 cm by 6 3/10 cm. What is the area of the rectangle?
oee [108]

Answer:

Convert 8 1/2 to 8.5 and 6 3/10 to 6.3, and then multiply 8.5 by 6.3.  Answer:

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Step-by-step explanation:

6 0
2 years ago
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