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3 years ago

If you guys can figure this out ur a genius

Mathematics

1 answer:

baherus [9]3 years ago

7 0

Answer:

252 ft squared

Step-by-step explanation:

Since the radius of the circle is 3, then the diameter would be 6

Split the rectangle into 3

The way I split the shape is like the picture attached (with the blue lines).

Find the area of each rectangle which can be easily found by using the diameter of each circle (picture attached with black lines)

6*18=108

6*12=72

Add the areas of each rectangle.

108+72+72=252

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Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standar

Vanyuwa [196]

Answer:

Range = $115

Variance = $1915.2857

Standard deviation = $43.764

Step-by-step explanation:

Given the data:

234 160 119 131 218 207 146 141

Arranging in ascending order :

119, 131, 141, 146, 160, 207, 218, 234

The range = maximum - minimum

The range = 234 - 119 = 115

The variance :

Σ(x - mean)²/n-1

The mean = Σx / n

The mean = 1356 / 8 = 169.5

Variance :

Σ(x - mean)² = (119-169.5)² + (131-169.5)² + (141-169.5)² + (146-169.5)² + (160-169.5)² + (207-169.5)² + (218-169.5)² + (234-169.5)² = 13407

n - 1 = 8 - 1 = 7

Variance = 13407 / 7 = 1915.2857

Standard deviation = √variance

Standard deviation = √1915.2857

Standard deviation = $43.764

8 0

2 years ago

Prove that:

devlian [24]

Answer:

Identities used:

1/cosθ = secθ
1/sinθ = cosecθ
sinθ/cosθ = tanθ
cosθ/sinθ = cotθ
sin²θ + cos²θ = 1

<h3>Question 1 </h3>

(1 - sinθ)/(1 + sinθ) =
(1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) =
(1 - sinθ)² / (1 - sin²θ) =
(1 - sinθ)² / cos²θ

Square root of it is:

(1 - sinθ)/ cosθ =
1/cosθ - sinθ / cosθ =
secθ - tanθ

<h3>Question 2 </h3>

The first part without root:

(1 + cosθ) / (1 - cosθ) =
(1 + cosθ)(1 + cosθ) / (1 - cosθ)(1 + cosθ)
(1 + cosθ)² / (1 - cos²θ) =
(1 + cosθ)² / sin²θ

Its square root is:

(1 + cosθ) / sinθ =
1/sinθ + cosθ/sinθ =
cosecθ + cotθ

The second part without root:

(1 - cosθ) / (1 + cosθ) =
(1 - cosθ)²/ (1 + cosθ)(1 - cosθ) =
(1 - cosθ)²/ (1 - cos²θ) =
(1 - cosθ)²/sin²θ

Its square root is:

(1 - cosθ) / sinθ =
1/sinθ - cosθ / sinθ =
cosecθ - cotθ

Sum of the results:

cosecθ + cotθ + cosecθ - cotθ =
2cosecθ

4 0

3 years ago

Read 2 more answers

Which fraction is equivalent to 3/5

pentagon [3]

Answer:

12/20

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

the length of a rectangle is one more than four times its width. If the perimeter of the rectangle is 62 meteres, fing the dimen

Andrews [41]

Length (L): 4w + 1

width (w): w

Perimeter (P) = 2L + 2w

62 = 2(4w + 1) + 2(w)

62 = 8w + 2 + 2w

62 = 10w + 2

60 = 10w

6 = w

Length: L = 4w + 1 → 4(6) + 1 → 24 + 1 → 25

Answer: 6 meters x 25 meters

7 0

3 years ago

Plz help meeeeeeeeeee

PSYCHO15rus [73]

Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

= (45 × 4) / 3

= 180/3

= 60

Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

= 27/12

= 9/4

= 2.25

Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

= 180

The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

= 3/2

= 1.5

Thus, the complete table:

Miles 45 135 180 90

Hours 3/4 9/4 3 3/2

Verification:

Miles / Hour = 45/(3/4) = 60

Miles / Hour = 135 / 2.25 = 60

Miles / Hour = 180 / 3 = 60

Miles / Hour = 90 / 1.5 = 60

8 0

2 years ago