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3 years ago

Find the value of x to the nearest tenth.

Mathematics

1 answer:

Shalnov [3]3 years ago

7 0

Answer:

x=14.7

Step-by-step explanation:

use the law of sines

sinA = sinB= sinC

------ ------ ------

a b c

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Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3

Irina18 [472]

Answer:

Step-by-step explanation:

Let the ends of the given segment are A and B.

Coordinates of A → (8, 6)

Coordinates of B → (12, 12)

If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,

(x, y) → (kx, ky)

If k = $\frac{2}{3}$

(x, y) → $(\frac{2}{3}x, \frac{2}{3}y)$

By this rule coordinates of the image points of A and B will be,

A(8, 6) → $A'(\frac{2\times 8}{3},\frac{2\times 6}{3})$

→ A'(5.3, 4)

B(12, 12) → $B'(\frac{12\times 2}{3}, \frac{12\times 2}{3})$

→ B'(8, 8)

Now we can get the image of segment AB after dilation by a scale factor of $\frac{2}{3}$ .

5 0

3 years ago

Given log Subscript 3 Baseline 2 almost-equals 0. 631 and log Subscript 3 Baseline 7 almost-equals 1. 771, what is log Subscript

kari74 [83]

You can use the properties of logarithm to get to the solution.

The approximate value for given term is given by

$log_3(14) \approx 2.402$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})$

<h3>Using the above properties</h3>

$log_3(2) + log_3(7) = log_3(2 \times 7) = log_3(14)\\\\0.631 + 1.771 = log_3(14)\\\\log_3(14) = 2.402$

Thus,

The approximate value for given term is given by

$log_3(14) \approx 2.402$

Learn more about logarithm here:

brainly.com/question/20835449

5 0

2 years ago

Read 2 more answers

Please help fast mathswatch!! I

netineya [11]

Answer:

Step-by-step explanation:

find the volume of one and multiply by six

6 * 2 * 2 * 12 =

288 cm³

4 0

2 years ago

Read 2 more answers

Two birds are sitting on the ground below their nest. Bird A is between the nest and Bird B. The angle of elevation from Bird A

ruslelena [56]

Answer:

Not sure

Step-by-step explanation:

4 0

3 years ago

A rectangular sandbox has an area of 55 square feet. find the length and width of the box if the length is one more than twice t

Dmitrij [34]

Answer:

The length is 5

The width is 11

Step-by-step explanation:

11 is more than two times bigger than 5

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4 0

3 years ago