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Gelneren [198K]
3 years ago
11

I have some geometry questions today!

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0

Answer:

<h3>Question 7</h3>

<u>Arc LM has length of:</u>

  • LM = 2πr*72/360
  • LM = 2π*1*1/5
  • LM = 2π/5
<h3>Question 8</h3>

<u>Area of the given sector:</u>

  • πr²*θ/360 =
  • x²π*(360 - 75)/360 =
  • x²π(19/24) =
  • 19πx²/24

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Can someone help me?
horrorfan [7]

Hi Eli!

--------------------------------------

We Know:

1 1/2 cups of flour.

3/4 cup of white sugar.

1/8 cup of brown sugar.

--------------------------------------

Part A:

I can't use a number line answering this question but you can create one with the steps I tell you.

First find common denominators:

1 1/2 = 3/2 = 12/8

3/4 = 6/8

1/8

Create a number that goes from 0/8 to 12/8, which means put a number with 12, 1/8 plots on it. Then plot 12/8, 6/8, and 1/8 in order in the number line.

Find out the total number of cups used:

12/8 + 6/8 + 1/8 = 19/8

Simplify:

19/8 = 2 3/84

Part A Answer: There are <u>2 3/8 cups</u> used all together.

--------------------------------------

Part B:

Part B Answer: The <u>3 cup bowl</u> would work perfectly.

Why: The reason you would want to choose the 3 cup bowl is because it fits all the ingredients perfectly, the 3 cup bowl is greater than the 2 3/8 cups they used. You can't use 2 cups because it is less than the total cups of ingredients. The 4 bowl you could use but it is too big.

--------------------------------------

Hope This Helps :)

4 0
3 years ago
Determine domain of the graph
Nutka1998 [239]

Answer: -7 less than or equal to x less than or equal to 5

Step-by-step explanation:

It start at -7 and end at 5 which is the x axis

3 0
2 years ago
Simplify 2 root 1/2 - 6 root 1/8 - 10 root 4/5
Diano4ka-milaya [45]

Answer:

0.70710678 is 2 root 1/2 simplified

Step-by-step explanation:

5 0
3 years ago
The "P" in 20p9 represents a:
Scorpion4ik [409]

Answer:

option (A) —Permutation.

Step-by-step explanation:

this is because permutation comes in this form and looks like that and I have learnt permutation in the past.

so yeah;

examples of permutations:

²⁰p9 ( 20 upper case, 9 lower case and p in-between)

we can solve it by

Formula: n!/(n-r)!

soooo

20!/(20-9)!

= 20!/(11)!

=20x19x18x17x16x15x14x13x12x11!/11!

we cancel out the 11!s (for easier solving)

and multiply or cancel out the remaining ( if you can't cancel out yet just multiply)

we get,

6.09493248 x 10¹⁰

~ 6 x 10¹⁰

there you go.( I know I did a little bit too much)

Hope this helps

Good luck.

7 0
2 years ago
You have a 64 foot of fencing. What are the dimensions of the rectangle of the greatest area you could enclose?
andriy [413]
In a rectangle, opposite sides are congruent.
Let one side have length x.
The opposite side also has length x.
The lengths of these two sides add to 2x.
The lengths of all 4 sides add to 64, so the lengths of the other 2 sides
add up to 64 - 2x. Each side measures 32 - x.

The rectangle has sides of length x and 32 - x.

The area of the rectangle is

A = LW

A = x(32 - x)

A = 32x - x^2

y = 32x - x^2 is a parabola that opens downward.
The maximum value of the parabola is the vertex on top.

32x - x^2 = 0

(32 - x)x = 0

32 - x = 0 or x = 0

x = 32 or x = 0

Since the parabola is symmetric with respect to the vertical axis, the vertex has x-coordinate 16.

At x = 16, you get maximum area.

Two opposite sides measure 16 ft each.
32 - x = 32 - 16 = 16
The other two opposite sides also measure 16 ft.

Since all sides turned out to have length 16 ft, the rectangle is a square.

Answer: The maximum area is enclosed by a square with side 16 ft.
3 0
3 years ago
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