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3 years ago

Find the missing length of the triangle.

Mathematics

1 answer:

egoroff_w [7]3 years ago

5 0

Step-by-step explanation:

apply Pythagorean theorem. if a^2 + b^2 = c^2 then

b = √(15^2 - 9^2) = 12.

12 is answer

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Work out m and c for the line: y = 8 − x

vlabodo [156]

The equation is y=mx+c
C=8
M=-1

4 0

3 years ago

Read 2 more answers

Which composition of transformations maps figure EFGH to figure E"F"G"H"?

Lady bird [3.3K]

The transformations would map EFGH to ${\text{E''F''G''H''}}$ is a reflection across line k followed by a translation down. Option (a) is correct.

Further explanation:

Given:

The compositions of transformations from EFGH to ${\text{E''F''G''H''}}$ are as follows,

(a). A reflection across line k followed by a translation down.

(b). A translation down followed by a reflection across line k.

(c). A ${180^ \circ }$ rotation about point G followed by a translation to the right.

(d). A translation to the right followed by a ${180^ \circ }$ rotation about point G.

Explanation:

Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

The transformations would map EFGH to ${\text{E''F''G''H''}}$ is a reflection across line k followed by a translation down. Option (a) is correct.

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: rotation, transformation, map, EFGH, composition, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides, congruent, two triangles, common point.

4 0

3 years ago

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Assume a warehouse operates 24 hours a day. Truck arrivals follow Poisson distribution with a mean rate of 36 per day and servic

kirill [66]

The expected waiting time in system for typical truck is 2 hours.

Step-by-step explanation:

Data Given are as follows.

Truck arrival rate is given by, α = 36 / day

Truck operation departure rate is given, β= 48 / day

A constructed queuing model is such that so that queue lengths and waiting time can be predicted.

In queuing theory, we have to achieve economic balance between number of customers arriving into system and that of leaving the system whether referring to people or things, in correlating such variables as how customers arrive, how service meets their requirements, average service time and extent of variations, and idle time.

This problem is solved by using concept of Single Channel Arrival with exponential service infinite populate model.

Waiting time in system is given by,

$w_{s} = \frac{1}{\alpha - \beta }$