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Sophie [7]
3 years ago
7

Solve the compound inequality below:

Mathematics
1 answer:
insens350 [35]3 years ago
8 0
3 - 8r <= 3 + 4r
3 - 3 <= 4r + 8r
0 <= 12r
0 <= r

-6+ 4r < 2+ 4r
4r - 4r < 2 + 6
0 < 8
all real numbers

The "or" statement means combining the sets of solutions.

combined sets = all real numbers
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Altitudes AA1 and BB1 are drawn in acute △ABC. Prove that A1C·BC=B1C·AC
Sophie [7]

Answer:

See the attached figure which represents the problem.

As shown, AA₁ and BB₁ are the altitudes in acute △ABC.

△AA₁C is a right triangle at A₁

So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)

△BB₁C is a right triangle at B₁

So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)

From (1) and  (2)

∴  A₁C/AC = B₁C/BC

using scissors method

∴ A₁C · BC = B₁C · AC

7 0
3 years ago
Combine like radicals to get your answer. <br><br> image attached
spin [16.1K]

Answer:

So the final answer is

-8\sqrt{3}

Step-by-step explanation:

Radicals:

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.

The given expression is

-5\sqrt{3} -3\sqrt{3}

Now take common radical out so we will get

\sqrt{3}(-5-3)

Now add the Parenthesis part.

\sqrt{3}(-8)

So the final answer is

-8\sqrt{3}

5 0
3 years ago
Bailey tossed a coin 10 times. the results were 7 heads and 3 tails. What is the best comparison between the theoretical and exp
erastova [34]

Answer:

3/10

Step-by-step explanation:

i answered it already

8 0
3 years ago
Product of squre of x and cube of y
julsineya [31]

Answer:

x²y³

Step-by-step explanation:

(x²) (y³) = x²y³

Hope it helps!

Have a nice day:)

6 0
2 years ago
Read 2 more answers
For their wedding, Rajai and Carly received $1000. Their financial advisor laid out 4 different options for them to invest in. A
dolphi86 [110]

Answer:

Their best investment when they retire in 40 years would be option B.

Step-by-step explanation:

Ragai and Carly invest the $1000 received for their wedding for 40 years.

From the diagram,

In option A, the initial investment do not increase at a constant rate yearly.

In option B, the amount invested increase by $75 yearly.

In option C, the yearly increase does not have a steady value.

In option D, the amount invested increases by a n + consecutive odd values yearly. Where n is the increase of the previous year.

Their best investment when they retire in 40 years would be option B because it would yield the highest profit.

8 0
3 years ago
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