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yan [13]
2 years ago
5

Circle e has a radius of 40 inches with m arc ABC=324 degrees. Find the exact length of arc ABC.

Mathematics
1 answer:
creativ13 [48]2 years ago
8 0
The formula to find the Length of the arc = (2r) (θ / 360°)
Substituting the values
Length of the arc = (2) (40) (324° / 360°)
By further calculation
= (80) (0.9)
So we get
= (80) (3.14) (0.9)
= 226.08 cm.
Therefore, the length of the arc is 226.08 cm.

Hope this helps
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WILL UPVOTE!!!
Ludmilka [50]
The question wants us to find 3 times the volume of the pool.
This is because we are told that the pool must be filled 3 times during the summer and asked how many cubic feet of water is required to fill the pool all summer.

Step 1: Find the volume of the pool.
Volume is calculated by multiplying length by width by height.
Pool length = 5 ft.
Pool width = 4 ft.
Pool height = 2 ft.
Pool volume = 5 • 4 • 2
5 • 4 • 2 = 40
The volume of the pool is 40 cubic feet.

Step 2: Find 3 times the volume of the pool.
Volume = 40 ft.^3
3 times volume = 3 • 40 ft.^3
3 • 40 ft.^3 = 120 ft.^3
3 times the volume of the pool is 120 cubic feet.

Answer:
The pool requires 120 cubic feet of water in order to be filled enough over the course of the summer.

Hope this helps!
6 0
3 years ago
Read 2 more answers
A PAIR OF JEANS MARKED AT R450 IS SOLD AT DISCOUNT OF 25%.​
Stolb23 [73]

Original price is the jeans = Rs450

Discount = 25%

Discount amount

= 25% of 450

= 25%(450)

= 25/100 × 450

= 25/10 × 45

= 5/2 × 45

= 225/2

= Rs112.5

Price after discount

= original price - discount amount

= 450 - 112.5

= Rs337.5

4 0
3 years ago
If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))
VashaNatasha [74]
Answer

g(f(x)) = = 16 {x}^{2} - 8x + 8

step by step Explanation

The functions given are

f (x)= 4x- 1

g(x)= {x}^{2} + 7

We want to find:

g(f (x))= g( 4x- 1)

This implies that

g(f (x))= ( (4x- 1)^{2} + 7)

Let us now simplify

( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}

This implies that

( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1

Combine the terms to get,

= 16 {x}^{2} - 8x + 1 + 7

= 16 {x}^{2} - 8x + 8
6 0
3 years ago
Read 2 more answers
Given that
timofeeve [1]

Answer:

4.

Step-by-step explanation:

(sec α - tan α)(sec α + tan α) = sec^2 α - tan^2α

But sec^2  α = 1 + tan^2 α so

sec^2 α - tan^2α  = 1 + tan^2 α - tan^2α

= 1

so 1 =  (sec α - tan α)(sec α + tan α) = 1/4 * x     where x  is sec α + tan α

1/4 * x = 1

x = 4.

6 0
3 years ago
?/5 =8/10 type the missing number that makes this fraction equal
abruzzese [7]

Answer:

4/5 = 8/10

Step-by-step explanation:

x/5 = 8/10

x = 8/10 × 5

x = 4

6 0
2 years ago
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