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3 years ago

In how many ways can the letters in the word 'Illinois' be arranged?

Mathematics

1 answer:

xenn [34]3 years ago

7 0

Answer:

The numbers of ways to permute letters of the word Illinois if the two Ls must be consecutive is 7.

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Arrange the following in decreasing order. 3.8 m^2 380 cm? 0.038 km2 3,800 mm Which of the following shows the answers in decrea

Snezhnost [94]

Answer:

C. 0.038 km² > 3.8 m² > 380 cm² > 3800 mm²

Step-by-step explanation:

Convert every measurement to the same unit, say, square metres.

(a) 3.8 m²

No conversion necessary

(b) 380 cm²

$\text{Area} = \text{380 cm}^{2} \times \left (\dfrac{\text{1 m}}{\text{100 cm}} \right )^{2} = \textbf{0.038 m}^{2}$

(c) 0.038 km²

$\text{Area} = \text{0.038 km}^{2} \times \left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2} = \textbf{38 000 m}^{2}$

(d) 3800 mm²

$\text{Area} = \text{3800 mm}^{2} \times \left (\dfrac{\text{1 m}}{\text{1000 mm}} \right )^{2} = \textbf{0.0038 m}^{2}$

In decreasing order, 0.038 km² > 3.8 m² > 380 cm² > 3800 mm²

6 0

2 years ago

The cubic polynomial 3x^3+5x^2+12x+20 can be factored as

Anarel [89]

$3x( {x}^{2} + 4) + 5( {x}^{2} + 4) = \\ ( {x}^{2} + 4)(3x + 5)$

5 0

3 years ago

A 4-meter ladder is placed against a wall so that it reaches a height of 3.7 m. To the nearest tenth of a meter, how far away fr

Ne4ueva [31]

Answer:

I have no idea im so sry jcfksafjehalcbhjoEwo

Step-by-step explanation:

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3 0

2 years ago

Identify an equation in point-slope form for the line perpendicular to y=-2x+8 that passes through (-3, 9)

Nutka1998 [239]

If the line is perpendicular, then as a rule the gradient of the perpendicular line will be the negative inverse of the gradient of the line given.
Therefore the gradient of the perpendicular line would be 1/2
so now just substitute in the equation of a line (y=mx+c) where y and x are given by -3 and 9, and your new m=1/2
Hope this helps

7 0

2 years ago

HELP. SUPER EASY MATH PROBLEM. 20 POINTS

Stells [14]

First find the area of the sector of 150 degrees:

150/360 x PI * 27.8^2 = 1011.6452 in^2

Now find the area of the triangle formed by the 150 degrees and the radius 27.8

first find the length of the chord ( the base of the triangle)

c^2 = 27.8^2 + 27.8^2 - 2 * 27.8 * cos(150) = 53.71

now find the height by using half the chord length as the base and using the Pythagorean theorem:

26.855^2 - 27.8^2 = height^2

height = 7.19

The area of the triangle is 1/2 x base x height = 1/2 x 26.855 x 7.1952 = 96.605

multiply by 2 because we made 2 right triangles: 96.54 x 2 = 193.21 square inches.

Now the area of the shaded region is the area of the sector minus the area of the triangle:

1011.6452 - 193.21 = 818.4352

Rounded to nearest tenth = 818.4 in^2

6 0

2 years ago

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