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lys-0071 [83]
3 years ago
13

Evaluate sin^-1(sin5)

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

−π2≤sin−1x≤π2  

3π2≤5≤2π

−π2≤5−2π≤0≤π2

sin(5–2π)=sin5

Thus, sin−1(sin5)=5−2π

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Given a container that is 4.50 ft. by 7.20 ft. that is filled with water 5.00 inches deep.What is the volume of water in liters
elena55 [62]

Answer:

382.3 liters

Step-by-step explanation:

We are told in the question that:

A container that is 4.50 ft. by 7.20 ft. that is filled with water 5.00 inches deep.

This means:

Length = 4.50 ft

Width = 7.20 ft

Depth(Height) = 5.00 inches

We have to convert all of these to centimeters first. Then to liters

1 foot = 30.48 centimetres

1 inch = 2.54 centimetres

Length = 4.50 ft

1 foot = 30.48 centimetres

4.5 ft = 4.5 × 30.48

= 137.16 cm

Width = 7.20 ft

1 foot = 30.48 centimetres

7.20 ft = 7.20 × 30.48 cm

= 219.456cm

Depth(Height) = 5.00 inches

1 inch = 2.54 centimetres

5 inches = x cm

Cross Multiply

= 5 × 2.54 cm

= 12.7 cm

The volume of the water(cm³) = Length × Width × Depth

= (137.16 × 219.456 × 12.7)cm³

382277.428992 cm³

The volume of water in liters

1 cubic centimetre = 0.001 litre

382277.428992 cm³ = x

Cross Multiply

382277.428992 cm³ × 0.001 litre

= 382.2774289920001 liters

Approximately = 382.3 liters

7 0
3 years ago
What is the reflection in the x-axis & what’s the reflection in line y=x?
marishachu [46]

Answer:

  a) (3, -4), (2, 4), (-5, -6)

  b) (4, 3), (-4, 2), (6, -5)

Step-by-step explanation:

a) Reflection in the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y)

  (3, 4) ⇒ (3, -4)

  (2, -4) ⇒ (2, 4)

  (-5, 6) ⇒ (-5, -6)

__

b) Reflection in the line y=x swaps the x- and y-coordinates:

  (x, y) ⇒ (y, x)

  (3, 4) ⇒ (4, 3)

  (2, -4) ⇒ (-4, 2)

  (-5, 6) ⇒ (6, -5)

8 0
4 years ago
Wendy saved up for a family trip to the beach. For each $1 she saved, her parents pledged to save $5. If her parents were able t
viva [34]
225/5 = 45
This means the parents gave her five dollars forty five times. If they gave her a five every time she saved one dollar, you just have to multiply the money she saved each time and the number of times she saved it, and you'll get the answer. 
Wendy saved $45 by herself
6 0
3 years ago
Read 2 more answers
Question 1 (1 point)
KatRina [158]

Answer:

97.2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many 10 kobo coins are there in #9.90?
baherus [9]

Answer:

99

Step-by-step explanation:

1₦ = 100 k

₦9.90 =?

=990k

990/10=99

4 0
3 years ago
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