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3 years ago

Write the expanded notation for 15,729?

Mathematics

1 answer:

pshichka [43]3 years ago

8 0

Step-by-step explanation:

15,729 = 10 000 + 5 000 + 700 + 20 + 9

= (1 x 10000) + (5 x 1000) + (7 x 100) + (2 x 10) + (9 x 1)

We can also write it like this :

(1 x 10⁴) + (5 x 10³) + (7 x 10²) + (2 x 10¹) + (9 x 10⁰)

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storchak [24]

Answer:

Option C

Step-by-step explanation:

For the matrix A of order $n\times n$ to be invertible, its determinant must not be equal to zero, |A| $\neq$ 0, $A^{- 1}$ exists if- AC = CA = I, where I is identity matrix.

The homogeneous equation with coefficient matrix A has a unique solution:

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3 years ago

Ms Anna has 35 students in her math class. If her class increases to 42 students next year,

Anika [276]

Answer:

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Step-by-step explanation:

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2 years ago

0.125,0.25,0.5,1 sequence

stiv31 [10]

Answer:

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Step-by-step explanation:

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3 years ago

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.

lina2011 [118]

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that $\triangle NOP$ is an right angled triangle.

$\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}$

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled $\triangle$ , we know that:

$tan \theta = \frac{Perpendicular}{Base}$

Here, $\theta$ is $\angle N$ , Perpendicular is side OP and Base is side PN.

So, $tan 59^\circ = \frac{OP}{PN}$

$\Rightarrow OP = PN \times tan59^\circ$

Putting the values of PN and $tan59^\circ$ .

$OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft$

Hence, the value of OP is $12.3\ feet$ .

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3 years ago

3 Select the correct answer. What are the solutions to this equation? 16x² + 9 = 25

Charra [1.4K]

Answer:

Step-by-step explanation:

16x^2 + 9 = 25

16x^2 = 16

x^2 = 1

x = 1, -1

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3 years ago