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Anna11 [10]
3 years ago
5

Simplify the expression insert . Question 11 of 20 : Select the best answer for the question. 11. Simplify the expression (2√ 27

) ⋅ (3√ 32 ).
Mathematics
1 answer:
White raven [17]3 years ago
5 0
First,, you need to simplify the radical in the first parenthesis.
(6) × (3)
Now simplify the radical in the second parenthesis.
(6) × (12)
Then remove the parenthesis.
6 × 12
Now calculate the product to find your answer.
72
This means that the correct answer to your question is going to be 72.
Let me know if you have any further questions. 
:)
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Mr. Gardener has $300,000 in a deposit account and receives 8 1 3 % interest annually. What annual interest (in dollars) does he
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Answer:

The annual interest he receives is $25000

Step-by-step explanation:

We are given

Mr. Gardener has $300,000 in a deposit account

so,

P=300000

receives 8 1 3 % interest annually

so, r=8 1/3 %

r=8\frac{1}{3} =\frac{8\times 3+1}{3} =\frac{25}{3}%

time =1 year

so, t=1

now, we can use interest formula

I=\frac{P\times r\times t}{100}

now, we can plug values

I=\frac{300000\times \frac{25}{3}\times 1}{100}

now, we can simplify it

I=25000

So,

The annual interest he receives is $25000

3 0
4 years ago
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21. Find x, given AD = BC =6 m.​
BigorU [14]

Answer:

Draw a perpendicular line from point A to line segment BC. Name the intersection of said line at BC “E.” You now have a right angled triangle AED.

Now, you know AD = 6 m. Next, given that the trapezoid is a normal one, you know that the midpoints of AB and DC coincide. Therefore, you can find the length of DE like so, DE = (20–14)/2 = 3 m.

Next, we will use the cosign trigonometric function. We know, cos() = adjacent / hypotenuse. Hence, cosx = 3/6 = 1/2. Looking it up on a trigonometric table we know, cos(60 degrees) = 1/2. Therefore, x = 60 degrees.

Alternatively, you could simply use the Theorem for normal trapezoids that states that the base angles will be 60 degrees. Hope this helps!

6 0
3 years ago
What is the name of a solid object traveling through space that strikes Earth’s atmosphere?
iragen [17]
A meteorite<span> is a solid piece of </span>debris<span>, from such sources as asteroids or comets, that originates in outer space and survives its impact with the Earth's surface. It is called a </span>meteoroid<span> before its impact.</span>
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3 years ago
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Which coordinate grid shows Point A at (−0.75, 1.50)? (1 point)
SashulF [63]

The correct option is;
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 3 grid lines to the left of the y-axis and 6 grid lines above the x-axis

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3 years ago
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Last year, the number of students enrolled in the school was 672. If this number increases by 12% the next year, how many studen
slamgirl [31]

Answer:

Step-by-step explanation:

672 x 12% = 80.64

80.64 is going to be added...

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8 0
3 years ago
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