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3 years ago

10

The hypotenuse of a right triangle measures 10 inches and the side opposite to <0 one of the non right angles is 5 inches lon

g
The measure of <0 is
30
45
60
90
?

1 answer:

AfilCa [17]3 years ago

5 0

Sin = Opposite/ Hypotenuse
Sin (theta)= 5/10
Sin^-1(5/10)=30
theta=30

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Solve using the elimination method:<br> X-3y=7<br> 3x + 3y=9

sergij07 [2.7K]

Answer:

$x=4\\\\y=-1$

Step-by-step explanation:

Given Equation:

$x-3y=7$ Equation:1

$3x + 3y=9$ Equation:2

Dividing Equation:2 by '3' both the sides:

$x+y=3$

or $x=3-y$ Equation:3

Putting the vale of 'x' in Equation:1

$x-3y=7$

$(3-y)-3y=7\\\\3-y-3y=7\\\\3-4y=7\\\\$

Subtracting '3' both sides

$-4y=7-3\\\\-4y=4$

$y=\frac{4}{-4}$

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Putting value of 'y' in Equation:3

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The solution of the equations is :

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3 years ago

A bathtub is the shape of a rectangular prism. The dimensions are 5 1/2 ft times 2 1/2 ft times 2 3/4 ft. What is the volume of

Sav [38]

Answer:

$37 \frac{13}{16} ft^3$

Step-by-step explanation:

A rectangular prism is also know as a cuboid.

The dimensions of the rectangular prism shaped bath tub are 5½ ft * 2½ ft * 2¾ ft.

The volume of a cuboid (rectangular prism) is given as:

V = L * B * H

Hence, the volume of the bath tub is:

V = 5½ * 2½ * 2¾

V = 11/2 * 5/2 * 11/4

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The volume of the bath tub is $37 \frac{13}{16} ft^3$

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2 years ago

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Step-by-step explanation:

Given as :

Function f(x) = $\frac{(x + a)}{(x + b)}$

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I.e f(2) = $\frac{(2 + a)}{(2 + b)}$

or, - 3 = $\frac{(2 + a)}{(2 + b)}$

I.e 2 + a = - 6 - 3b

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Again f(f(1)) = 0

So, $\frac{(1 + a)}{(1 + b)}$ = 0

Or, 1 + a = 0

∴ a = - 1

So , put htis value of a i n eq 1 , we get value of b

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Or, 3b = - 7

∴ b = $\frac{ - 7 }{3}$

Hence The value of a = - 1 , And b = $\frac{ - 7 }{3}$ Answer

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3 years ago

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer.

allochka39001 [22]

Answer:

No. See explanation below.

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It is because of this that this probability experiment doesn't represent a binomial experiment.

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ryzh [129]

Answer:

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Step-by-step explanation:

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2 years ago