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topjm [15]
3 years ago
13

Espress the following in standard form 24.12​

Mathematics
1 answer:
ANTONII [103]3 years ago
5 0
Answer: 2412(-2)
(-2)- small numbers

Explanation: you would divide (due to it being a negative 2) by two 10s to get your original number
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A karat equals 1/24 part of gold in an alloy [ eg 9 karat gold is 9/24 gold]. How many grams of 9 karat gold must be mixed with
irinina [24]
This is a mixture problem.

Let the 9 karat gold to be mixed be x. The 18 karat would weight (200 - x). Since the total = 200g.

mass1 * karat1 + mass2*karat = total mass * total carat

Let mass1 be x g.          mass 2 would be = (200 -x)
karat 1 = 9                    karat 2 = 18 

Total mass = 200g.
Total karat = 14.

9*x  + 18*(200 -x) = 14*200

9x + 18*200 - 18*x = 14*200

18*200 + 9x - 18x = 14*200

3600 - 9x = 2800

3600 - 2800 = 9x

800 = 9x

9x = 800

x = 800/9

x ≈ 88.89

Therefore 88.89 grams of 9 karat gold must be mixed.
7 0
2 years ago
A regular octagon is inscribed in a circle with a radius of 10 cm. What is the length of one side of the octagon?
Semenov [28]

Answer:

The length of one side of the octagon is 7.65 cm

Step-by-step explanation:

The parameters given are;

A regular octagon inscribed in a circle of radius, r, of 10 cm.

The length of each side is found from the isosceles triangle formed by the radius and one side of the octagon

The sum of interior angles in a polygon, ∑θ_i = 180 × (n - 2)

Where;

n = The number of sides of the polygon

θ_i = The interior angle of the polygon

For the octagon, we have;

n = 8, therefore;

∑θ_i = 180 × (8 - 2) = 1080

Given that there are eight equal angles in a regular octagon, we have;

∑θ_i = 8 × θ_i = 1080

θ_i = 1080/8 = 135°

The sum of angles at the center of the circle = 360

Therefore, the angle at the center (tip angle) of the isosceles triangle formed by the radius and one side of the octagon = 360/8 = 45°

The base angles of the isosceles triangle is therefore, (180 - 45)/2 = 67.5° = θ_i/2

The length of the base of the isosceles triangle formed by the radius and one side of the octagon = The length of one side of the octagon

From trigonometric ratios, the length of the base of the isosceles triangle is therefore;

2 × r × cos(θ_i/2) = 2×10 × cos(67.5°) = 7.65 cm

The length of the base of the isosceles triangle = 7.65 cm = The length of one side of the octagon.

7 0
3 years ago
Read 2 more answers
A submarine is only allowed to change its depth by rising toward the surface in 50 METER STAGES. it starts off at -225 meters. H
omeli [17]

Answer:

It will take 5 stages to reach the surface.

Step-by-step explanation:

-225/50=4.5 or what times 4.5 equals -225

Then the problem says to round up so 4.5 becomes 5.

5 0
3 years ago
I NEED HELP PLEASE<br> directions:Work and Solution
Volgvan

Answer:

2(x + 4) / 6(x² - 3x - 28)

Step-by-step explanation:

Area of a rectangle = length × width

Length = 2/(x² - 3x - 28)

Width = x² - 16/6x - 24

= (x + 4)(x - 4) / 6(x - 4)

= (x + 4) / 6

Area of a rectangle = length × width

= 2/(x² - 3x - 28) × (x + 4) / 6

= 2(x + 4) / (x² - 3x - 28)6

= 2(x + 4) / 6x² - 18x - 168

= 2(x + 4) / 6(x² - 3x - 28)

Area of a rectangle =

2(x + 4) / 6(x² - 3x - 28)

4 0
2 years ago
Help Me Solve This
olasank [31]
Let us assume the number of cd's you can buy = x
Cost of an used CD = $4.25
Total amount of money that you have = $1500
Then
<span>x ≤ 15 − 4.25
</span>x ≤  10.75

I hope the procedure is clear enough for you to understand. I also hope that this is the answer that you were looking for and the answer has actually come to your desired help.
3 0
3 years ago
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