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3 years ago

7

Employee works for 8 hours on 2 days 6 hours on one day and 4 hours on 2 days what is the average number of hours an employee wo

rk per day

1 answer:

lorasvet [3.4K]3 years ago

4 0

8 + 8 + 6 + 4 + 4 =30

30 divided by the number of days worked.

30/5 = 6

The answer is 6

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The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle? 2 cm 2 StartRoot 2 EndRoo

Oxana [17]

Answer:

$2\sqrt{2} cm$

Step-by-step explanation:

In order to solve this you just have to remember the formula for the sides and hypotenuse of the triangle rectangle:

$c^{2} =a^{2} +b^{2}$

Since A and B are equal we will use X to represent them both:

$c^{2} =a^{2} +b^{2}\\4^{2} =x^{2} +x^{2}\\16 =2x^{2}\\8=x^{2} \\x=\sqrt{8}=\sqrt{4*2}=2\sqrt{2}$

ANd by solving the equation we get that the length of the legs of the triangle rectangle with a hypotenuse of 4cm is $2\sqrt{2} cm$

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3 years ago

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First determine the missing angle for triangle 1 and triangle 2. Then apply the angle-angle criterion to determine if the two tr

barxatty [35]

Answer:

Triangle 1 – ∠1 = 25°, ∠2 = 115° Triangle 2 – ∠1 = 25°, ∠3 = 40°
Triangle 1 – ∠1 = 5°, ∠2 = 15° Triangle 2 – ∠2 = 15°, ∠3 = 160°

Step-by-step explanation:

You can save yourself some trouble if you realize that one of the angles in one pair must match one of the angles in the other pair.

This observation eliminates the first two choices.

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Going further, the triangles will be similar if the dissimilar angles together with one of the similar angles totals 180°.

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Triangle 1 – ∠1 = 50°, ∠2 = 30°

Triangle 2 – ∠2 = 20°, ∠3 = 100° . . . . . no angles match

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Triangle 1 – ∠1 = 60°, ∠2 = 20°

Triangle 2 – ∠1 = 40°, ∠3 = 100° . . . . . no angles match

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Triangle 1 – ∠1 = 25°, ∠2 = 115°

Triangle 2 – ∠1 = 25°, ∠3 = 40° . . . . 25° angles match; 25+40+115 = 180

These triangles are similar.

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Triangle 1 – ∠1 = 5°, ∠2 = 15°

Triangle 2 – ∠2 = 15°, ∠3 = 160° . . . . 15° angles match; 15+5+160 = 180

These triangles are similar.

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3 years ago

Susan found the equation of the best fit line for the data shown in the scatterplot. The slope of the line of best fit is

Ivan

Answer:

Negative

Step-by-step explanation:

From the scatter plot displayed, we could clearly observe the direction of the trend line as it produces a negative slope. For high values of y, the values of x are low and similarly, high values of x have low y values. Therefore, this kind of relationship between the two variables is considered negative.

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3 years ago

Find the slope intercept form of the equation of the line through the points(2,-4) parallel to the line 8x+2y+2=0

Margarita [4]

Answer:

y = -4x + 4

Step-by-step explanation:

8x+2y+2=0

turn that into slope intercept form:

y = -4x - 1

a parallel line has the same slope, but different y-intercept

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final product:

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3 years ago

Consider the paragraph proof.

alukav5142 [94]

Answer:

a

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3 years ago

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