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2 years ago

What is the principle value of sin^-1(1)

1 answer:

4 0

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The principal value of sin⁻¹(1) is 90°.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The principal value of sin⁻¹(1) is,

θ = Sin⁻¹(1)

θ = 90°

Hence, the principal value of sin⁻¹(1) is 90°.

Learn more about Sine:

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3 years ago

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4 years ago

What is the answer for 805 tens = with place value chart

alexandr1967 [171]

In the given problem, the numerical value of 805, which is in the tens place, we can first elaborate and clearly specify the order of numbers by using the expanded form: 1. 800 = eight hundred / hundreds 2. 0 = zero / tens 3. 5 = five / ones Conclusively the tens value of the number is zero or none, since zero is not a real number then it can’t be considered but nevertheless, the value is 0 expressed with respect to the whole numbers.

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3 years ago

13. WRITE Math Write Standard Form, Expanded Form, and Word Form

attashe74 [19]

Answer:

Numbers can be written in different forms; examples of numbers written in standard form, expanded form and short word form are given below:

A. STANDARD FORM

(a). 81,326,412 = 8.1326412 * 10^7.

(b). 25,749,888 = 2.5749888 * 10^7.

(c). 93,782,514 = 9.3782514 * 10^7.

(d). 54,214,419 = 5.4214419 * 10^7.

(e). 97,222,119 = 9.7222119 * 10^7.

B. EXPANDED FORM

(a). 80,000,000 +1,000,000 +300,000 +20,000 + 6,000 +400 + 10 + 2.

(b). 20,000,000 + 5,000,000 + 700,000 + 40,000 + 9,000 + 800 + 80 + 8.

(c). 90,000,000 + 3,000,000 + 700,000 + 80,000 + 2,000 + 500 + 10 + 4.

(d). 50,000,000 + 4,000,000 + 200,000 + 10,000 + 4,000 + 400 + 10 + 9.

(e). 90,000,000 + 7,000,000 + 200,000 +20,000 + 2,000 + 100 + 10 + 9.

C. WORD FORM

(a). Eighty one million, three hundred and twenty six thousand, four hundred and twelve.

(b). Twenty five million, seven hundred and forty nine thousand, eight hundred and eighty eight.

(c). Ninety three million, seven hundred and eighty two thousand, five hundred and fourteen.

(d). Fifty four million, two hundred and fourteen thousand, four hundred and nineteen.

(e). Ninety seven million, two hundred and twenty two thousand, one hundred and nineteen.

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3 years ago

The bed of a truck is stacked with with boxes of paper. The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across

marysya [2.9K]

Answer:

Step-by-step explanation:

The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across, then there are $5\cdot 4\cdot 4=80$ boxes in total.

The mass of 1 box of paper is 22.5 kilograms, so 80 boxes weigh $22.5\cdot 80=1800$ kilograms.

When the driver is in the truck, the mass is 2948.35 kilograms, then the total mass is

$2948.35+1800=4748.35\ kg.$

Let n be the number of boxes of paper the driver must deliver at the first stop. Their weigth is 22.5n kg and the weight of the truck without n boxes is

$4748.35-22.5n\ kg.$

Trucks with a mass greater than 4700 kilograms are not allowed over the bridge, thus

$4748.35-22.5n48.35,\\ \\n>\dfrac{967}{450}=2\dfrac{67}{450}.$

Hence, the driver must deliver at least 3 boxes at the first shop.

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3 years ago