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3 years ago

A 40-degree angle is translated 5 inches along a vector. What is the angle measurement, in degrees, of the Image?

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

8 0

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

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every 1/2 hour naomi stretches her neck; every 1/3 hour she stretches her legs; every 1/6 hour she stretches her arms. which par

sp2606 [1]

Find a common demoninator for example 6 because all of the denominators can go into 6 then you should find your answer quite easily when u add the fractions because all you have to do is add the numerator together to get to 2/3 (4/6)

8 0

3 years ago

What's the answer to this question= 4(3x + 2) + 2(x + 3)

Serga [27]

Answer:

$\huge{ \boxed{ \bold{ \tt{14x + 14}}}}$

Option E is the best choice.

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☯ Question : Simplify

4 ( 3x + 2 ) + 2 ( x + 3 )

☯ Available options :

☐ 12x + 16

☐ 24x + 48

☐ 10x + 2

☐ 14x + 48

☑ 14x + 14

☐ 9x + 5

✎ Step - by - step explanation :

$\sf{4(3x + 2) + 2(x + 3)}$

Distribute 4 through the parentheses

$\dashrightarrow{ \sf{12x + 8 + 2(x + 3)}}$

Distribute 2 through the parentheses

$\dashrightarrow{ \sf{12x + 8 + 2x + 6}}$

Combine like terms. Only coefficients of like terms can be added or subtracted

$\dashrightarrow{ \sf{12x + 2x + 8 + 6}}$

$\dashrightarrow{ \sf{14x + 8 + 6}}$

Add the numbers : 8 and 6

$\dashrightarrow{ \boxed{ \sf{14x + 14}}}$

Hope I helped!

Have a wonderful time ツ

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6 0

3 years ago

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse B A is 9.8 inches, the length of C B is 6.3 inch

german

Answer:

$\angle B=\cos^{-1}\left(\dfrac{6.3}{9.8}\right)\\ \\\angle B=\sin^{-1}\left(\dfrac{7.5}{9.8}\right)$

Step-by-step explanation:

Consider right triangle ABC with right angle C.

In this triangle,

BA = 9.8 in
CB = 6.3 in
CA = 7.5 in

Write trigonometric functions:

$\cos \angle B=\dfrac{BC}{AB}=\dfrac{6.3}{9.8}\\ \\\sin \angle B=\dfrac{AC}{AB}=\dfrac{7.5}{9.8}$

Hence,

$\angle B=\cos^{-1}\left(\dfrac{6.3}{9.8}\right)\\ \\\angle B=\sin^{-1}\left(\dfrac{7.5}{9.8}\right)$

7 0

3 years ago

Read 2 more answers

What percent is 27.30 of 36.40 ?

Luden [163]

If you would like to know what percent is 27.30 of 36.40, you can calculate this using the following steps:

x% of 36.40 = 27.30
x/100 * 36.40 = 27.30
x/100 = 27.30/36.40
x = 27.30/36.40 * 100
x = 75

To check: 75% * 36.40 = 75/100 * 36.40 = 27.30

The correct result is 75%.

7 0

3 years ago

The value of (a+b)² - (a-b)² is

ANEK [815]

Answer:

4ab

Step-by-step explanation:

(a+b)^2-(a-b)^2

=a^2 + 2ab + b^2 -(a^2 - 2ab +b^2)

=a^2 + 2ab + b^2 - a^2 + 2ab - b^2

=2ab + 2ab

=4ab

5 0

3 years ago