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QveST [7]
3 years ago
15

The legs of a right triangle measure 5 inches and 7 inches. If theta is the angle between the 7 inch leg and the hypotenuse, sin

theta = ___
Mathematics
2 answers:
Komok [63]3 years ago
8 0

sinx = 7/sqrt(74) = .81


pochemuha3 years ago
3 0

Answer:

sin (θ) = 0,58

Step-by-step explanation:

The formula for sin (θ) is:

sin (θ) = (opposite side)/hypotenuse

The opposite side to the θ angle is the one that measures 5 inches, but we don’t know the measure of the hypotenuse. The Pythagoras theorem gives us the following formula:

side 1²+ side 2²= hypotenuse²

Then,

5²+7²=74

√74= 8,60 inches; this is the measure for the hypotenuse.

Replacing this value in the formula for sine:

sin (θ) = 5/8,60  = 0,58

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6,651,297,000 in verbal form
sashaice [31]
Six billion, six hundred fifty one million, two hundred ninety seven thousand. 
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7 0
3 years ago
Elena is cutting a 30-foot piece of ribbon for a craft project. She cuts off 7 feet, and then cuts the remaining piece into 9 eq
Anit [1.1K]

Answer:

Each piece of ribbon lengths 2.55 feet.

Step-by-step explanation:

A 30-foot piece of ribbon that Elena has cut for a craft project. Then she cuts off 7 feet from this.

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Now, then she cuts the remaining piece into 9 equal lengths of feet each.

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8 0
3 years ago
What is the solution to the system?
nikdorinn [45]
Point slope form again

-3-9/3+1= -3

y+1=-3(x-9)

y+1=-3x+27

y=-3x+26

5+1/2+1=2

y+1=2(x+1)

y+1=2x+2

y=2x+1

For your system of equations you have

y={y=-3x+26}
y={y=2x+1}

There is a couple ways you can solve this. You could either use a subtraction method, or a substitution method. since they are both y = something i would just substitute one y in one or the other equation.

2x+1=-3x+26

5x+1=26

5x=25

x=5

So now you just plug in x = 5 for each quotation and you have your y's for both solution points

y=-3(5)+26
y=11

y=2(5)+1
y=11

So this works out nice, your solutions for the set of equations is (5,11) since they are the same points

7 0
3 years ago
If r is an integer greater than 1, what is the value of (−1)r +1 if:
Goryan [66]

Answer:

1. 0

Step-by-step explanation:

I don't know the even number one.  (−1)^r when r is an odd integer greater than 1 always  will equal -1                                     then -1 + 1 = zero

7 0
3 years ago
A line passes through the slope(-18,16) and (-7,-6 ). what is the slope of the line
Dennis_Churaev [7]

Answer:

-2

Step-by-step explanation:

slope = difference of y/difference of x

slope = (-6 - 16) / (-7 - -18) = -22/11 = -2

5 0
2 years ago
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