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Verdich [7]
1 year ago
12

Help I don’t know how to do this please help

Mathematics
1 answer:
igor_vitrenko [27]1 year ago
8 0

SOLUTION:

Case: Trigonometry

Method:

Let the distance between the Sun and the Earth be 'z'

The relationship between x, y and z is:

\begin{gathered} tan(x)=\frac{opp}{adj} \\ tan(x)=\frac{y}{z} \\ z=\frac{y}{tan(x)} \\ z=ycot(x) \end{gathered}

Final answer:

In sentence,

The distance between the Sun and the Earth is the product of the distance between the Earth and the moon and the cotangent of the angle x formed using the lines from the Earth and the moon.

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Hcf and lcm 112 and 46 using prime factorisation
White raven [17]

Answer:

HCF: 2

LCM: 2576

Step-by-step explanation:

Prime factorizations:

112 = 2×2×2×2×7

46 = 2×23

HCF: 2 (only common factor)

LCM: 2×2×2×2×7×23 = 2576

7 0
4 years ago
Read 2 more answers
How much glass is needed to make the given cup below, if it has a height of 6 inches and a radius of 1.5 inches
tresset_1 [31]

Answer:

31.5\pi

Step-by-step explanation:

Using the formula given, you can find that the surface area of the glass is:

2\pi r^2 h+ 2\pi r^2= \\\\2\cdot \pi \cdot 1.5^2 \cdot 6+2\cdot \pi \cdot 1.5^2=\\\\27\pi + 4.5\pi=\\\\31.5\pi

Hope this helps!

8 0
3 years ago
64/81=(8/9) what is the exponent
Black_prince [1.1K]
Hi 

x = exponent 

64 = 8·8 = 8^2
81 = 9·9 = 9^2

64/81 = 8^2/9^2 = (8/9)^2

(8/9)^2 = (8/9)^x
 
x = 2

Answer: The exponent is 2
5 0
4 years ago
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Mrs. Java invests $4000 at 10% annual return and $6000 al 12% annual return. How much should she invest at 15% return so that he
erma4kov [3.2K]

Answer:

Step-by-step explanation:

Interpreting as: 6000

Input:

6000

Number line:

Number line

Number name:

six thousand

Roman numerals:

\!\(\("V"\)\&_\)M

Binary form:

1011101110000_2

Prime factorization:

2^4×3×5^3

Residues modulo small integers:

m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9

6000 mod m | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 6

Properties:

6000 is an even number.

6000 is a number that cannot be written as a sum of 3 squares.

6000 has the representation 6000 = 3^5 5^2 - 75.

6000 divides 49^10 - 1.

Character code 6000:

| Tagbanwa letter sa

Unicode: U+1770 (decimal: 6000)

Mathematica: \:1770

(Tagbanwa)

3 0
3 years ago
A total of 649 tickets were sold for the school play. They were either adult tickets or student tickets. There were 51 fewer stu
deff fn [24]

Answer:

498 adult tickets were sold

8 0
3 years ago
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