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o-na [289]
3 years ago
11

What is the least common multiple of 24 27 and108

Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0
Least common multiple of 24 27 108 is 216.                    <span>                  </span><span>
</span>
brilliants [131]3 years ago
5 0
The least common multiple of 24, 27, and 108 is 3
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The altitude of an equilateral triangle is 9 inches. Find the perimeter of the triangle in inches.
Fiesta28 [93]
If we  draw a perpendicular line from one of the vertices of the triangle we get  2 right angled triangles  each with  altitude 9 ins  and vertex angle = 30 degrees.   So:-

cos 30 = 9 /h     where h = one of the sides of the equilateral triangle

h =  9 / cos 30  =  10.392 inches

Therefore the perimeter of the triangle = 3 * 10.392 =  31.1769 ins

Answer is 31.18 inches to the nearest hundredth.
5 0
3 years ago
  What values for θ (0 ≤ θ ≤ 2pie ) satisfy the equation? 
svetoff [14.1K]
Factor out the cos<span>θ:
</span>cosθ (2sin<span>θ + sqrt3) = 0
</span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0
</span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2.
</span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to:
</span></span>sin<span>θ = (-sqrt3)/2
</span><span><span>θ = 4pi/3, 5pi/3
</span></span><span><span>Therefore the answer is A.
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7 0
3 years ago
What will happen to the slope of line P if the line is shifted so that the y-intercept increases and the x-intercept remains the
juin [17]

Answer:

Step-by-step explanation:

⊕ The slope will increase

4 0
3 years ago
Sally invests £8000 in a savings account. The account pays 2.8% compound interest per year work out the value of her investment
Alborosie

Answer: the value of her investment after 4 years is £8934.3

Step-by-step explanation:

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested.

t represents the duration of the investment in years.

From the information given,

P = 8000

r = 2.8% = 2.8/100 = 0.028

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 8000(1+0.028/1)^1 × 4

A = 8000(1+0.028)^4

A = 8000(1.028)^4

A = £8934.3 to the the nearest penny

6 0
3 years ago
Solve the given inequality.<br> -x -8 &gt; 2x + 9
k0ka [10]

Answer:

x < −17/3

Step-by-step explanation:

Put in comments if needed explanation

7 0
3 years ago
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