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3 years ago

DUS is a 30°-60°-90° triangle with short leg SU. If SU = x, determine the

Mathematics

2 answers:

ra1l [238]3 years ago

7 0

Answer:

Below in bold.

Step-by-step explanation:

In a 30-60-90 triangle the sides are in the ratio 1:√3:2 so if the shortest side SU = x then the long leg = √3x and the hypotenuse = 2x.

vitfil [10]3 years ago

4 0

Answer:

SD = 2x

UD = x $\sqrt{3}$

Step-by-step explanation:

The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.

SU is the shorter leg = x

So, SD = 2x

The longer leg of a 30-60-90 triangle is $\sqrt{3}$ times the shorter leg.

So, UD = x $\sqrt{3}$

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A 35° and is rotated 270°. what is the measure of the image of the angle? explain.

labwork [276]

The answer is 305<span>°.
270</span>° + 35° = 305°.

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3 years ago

In the system if linear equations below a and b are constants.The solution to the systems is 5,1

dalvyx [7]

Answer:

Step-by-step explanation:

Actually Welcome to the Concept of the linear equations..

Here given value of x= 5 and y =1 , so we get as,

5a + b = 38 and 5b - a = 8

so, now we multiply equation no. 2 by 5 all over.

==> 25b - 5a = 40....(1)

hence adding new equation and equation no. 1

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2 years ago

For the equation given below, evaluate y′ at the point (−2,2)<br> xe^y−4y=2x−4−2e^2

jeka94

Implicit differentiation
chain rule is important here

I'll show the steps partially
$e^y+xe^yy'-4y'=2$
$xe^yy'-4y'=2-e^y$
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$y'=\dfrac{2-e^y}{xe^y-4}$
now evaluate for (-2,2)
x=-2 and y=2
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$y'=\dfrac{2-e^2}{-2e^2-4}$
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4 years ago

A bottle holds 255 milliliters of shampoo. How many liters will 32 bottles hold?

lubasha [3.4K]

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3 years ago

Read 2 more answers

Write down in terms of n, an expression for the nth term of the following sequences 2,8,18,32,50,

Art [367]

Answer:

198

Step-by-step explanation:

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3 years ago