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GenaCL600 [577]
3 years ago
13

2 to the power of 12= 4,096. How many other whole numbers can you raise to a power and get 4,096?

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

the numbers are 4,8,16,64 and 4096 using laws of indices

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What is the common ratio of the geometric sequence below? -5, -10, -20, -40....
const2013 [10]

Answer:

2

Step-by-step explanation:

Between each term you are multiplying the previous term by 2, making 2 the common ration of the sequence.

8 0
3 years ago
Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.
Tems11 [23]

Answer:

The area of the triangle is  \sqrt{3}

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle  ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is  = \frac{1}{2}(base \times height)

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE  = \sqrt{(0-1)^2 + (0-1)^2}

DE =\sqrt{(-1) ^2 + (-1)^2

DE = \sqrt{1+1}

DE = \sqrt{2}

Base = \sqrt{2}

Height is DF

DF =tan(60^{\circ}) \times DE

DF = \sqrt{3} \times DE

DF = \sqrt{3} \times\sqrt{2}

Now, the area of the triangle is

= \frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})

=\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})

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6 0
3 years ago
What is the area of the trapezoid shown below?​
Olin [163]

Answer:

78 sqr units

Step-by-step explanation:

Use the Pythagorean Theorem to help find the base opposite the two.

The base of the second parallel line is sqrt(  (15^2) - (12^2)  ) = sqrt(81) = 9

The second base = 9 + 2 = 11

Area = (b1 + b2)*h/2

h = 12

b1 = 2

b2 = 11

h = 12

Area = (11 + 2)*12/2

Area = 13 * 12/2

Area = 78 square units

7 0
3 years ago
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tiny-mole [99]

Answer:

-0.38%

Step-by-step explanation:

Divide 31 by 50. 31 / 50 = 0.62.

1 - 0.62 = 0.38

Since it is a decrease in change the percent change is negative.

-0.38%

6 0
2 years ago
PLEASE ANSWER ASAP !!!!!
tester [92]

Answer:

Domain:

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Range:

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X= Domain

Y= Range

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7 0
2 years ago
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