Answer:
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Step-by-step explanation:
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The measures of the legs of the right triangle are:
X = 2.5
Y = 4.3
<h3>
How to find the values of x and y?</h3>
In the image, we can see a right triangle with a hypotenuse with a value of 5, and a known angle.
To find the values of X and Y (the legs of the triangle) we can use the two relations:
Sin(a) = (opposite cathetus)/(hypotenuse)
Cos(a) = (adjacent cathetus)/(hypotenuse)
In this case, we have:
a = 30°
hypotenuse = 5
opposite cathetus = X
adjacent cathetus = Y.
Replacing that in the relations we get:
Sin(30°) = X/5
Sin(30°)*5 = X = 2.5
cos(30°) = Y/5
cos(30°)*5 = Y = 4.3
Learn more about right triangles:
brainly.com/question/2217700
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7 gallons of pure acid and 14 gallons of 10% acid
Answer:
r = 14
Step-by-step explanation:
Use distributive property:
4r + 2r - 16 = 12 + 4r
Combine like terms:
6r - 16 = 12 + 4r
Isolate the variable:
6r = 28 + 4r
2r = 28
r = 14
Answer:
a) 15 ÷ 2/3=
=1 5 x 3/2=45/2
b) 3 × 1/8 × 6/9
=1/8 x 2( Simplify 3 with 9 remainder 3, reduce
6 with 3 remainder 2)
=1/4
c) 3 3/5 ÷ 2 2/5
=18/5 : 12/5
=18/5 . 5/12
=3/2
d) 2 1/12 × 1 1/5
= 25/12 . 6/5
=5/2
Step-by-step explanation:
