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4 years ago

Express 900 as product of its prime factors in index form write the prime factors in ascending order

Mathematics

1 answer:

Vinil7 [7]4 years ago

6 0

Answer:

2*2*3*3*5*5.

Step-by-step explanation:

2) 900

2)450

3)225

3(75

5)25

5)5

= 1

So the prime factors are 2*2*3*3*5*5

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The equation of a circle is given by (x + 3.5) ^ 2 + (y - 2.82) ^ 2 = 25 What is the area of a 52 degrees sector of this circle?

Sunny_sXe [5.5K]

Answer:

≈ 11.34 units²

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 3.5)² + (y - 2.82)² = 25 ← is in standard form

with r² = 25 ⇒ r = $\sqrt{25}$ = 5

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{52}{360}$

= π × 5² × $\frac{52}{360}$

= π × 25 × $\frac{52}{360}$

= $\frac{25(52)\pi }{360}$

≈ 11.34 units² ( to the nearest hundredth )

3 0

3 years ago

Please hurry I need to pass this class

Dvinal [7]

Answer:

$\displaystyle m=\frac{-3}{4}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a Cartesian plane
Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(0, 8)

Point B(4, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{5-8}{4-0}$
[Fraction] Subtract: $\displaystyle m=\frac{-3}{4}$

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3 years ago

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3 years ago

On Monday, I bought 1 dog and 3 cats for a total cost of $7.75. On Tuesday, 1

Zina [86]

Answer: The cats cost more

also there is a typo

Step-by-step explanation:

I bought 1 dog and 3 cats a total cost of $7.75. the three cats cost more so in all the cats must cost 3.56$

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3 years ago

What is the exact circumference of the circle? Circumference = Diameter x pi C = dπ

andrew-mc [135]

the circumference is 20pie or 62.83185307

5 0

3 years ago