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Mathematics

1 answer:

garri49 [273]3 years ago

8 0

Answer:

C. 0.883.

Step-by-step explanation:

Substitute the given values in the formula:

Slugging % = (1*58 + 2*24 + 3*8 + 4*39) / 324

= 0.883..

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Vinny worked on her science project for 2 hours and 16 minutes she started at 1:00 how at what time did she finish

Butoxors [25]

Answer: She finished 3:16

Step-by-step explanation:

This is because 1:00 plus 2 hours is 3:00 and 3:00 plus 16 is 3:16

8 0

3 years ago

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Triangle MNP has vertices N(2, 2) and P(0, –2). The triangle is symmetric about the y-axis. What is the approximate measure of t

Evgesh-ka [11]

Point M of the triangle is (-2,2) to make triangle MNP as shown in the attached image

Triangle MNP has a base of 4 units and a height of 4 units. We can work out the angle x and angle y using trigonometry ratio

We use tan ratio to find both angles

$Tan (x) = \frac{opposite}{adjacent}$
$Tan(x)= \frac{4}{2}$
$Tan(x)=2$
$Tan^{-1}(2)=63.43494882$
$Angle x=63.43$

$Tan(y)= \frac{opposite}{adjacent}$
$Tan(y)= \frac{2}{4}$
$Tan^{-1}(0.5)=26.56505118$
$Angle y=26.6$

Angle MNP = Angle NMP = 63.43 degrees (this is based on the fact that the triangle is an isosceles triangle)

Angle MPN = 2×26.6 = 53.2 degrees (we multiply by 2 as angle y is only a half of angle MPN - as shown in the diagram)