Answer: Part a: x=sqrt(104) in; Part b: x=sqrt(5) in
Step-by-step explanation:
Part a:
Because the figure has a right angle (signified by the square), it is a right triangle. Therefore, the Pythagorean Theorem, a²+b²=c² where c is the hypotenuse (longest side) and a and b are the legs (shorter sides), applies. Thus:
a²+b²=c²
The 15 in side is opposite the right angle, so it is the hypotenuse.
The 11 in side and x in side are not opposite the right angle, so they are legs.
11²+x²=15²
121+x²=225
(121+x²)-121=225-121
x²=104
sqrt(x²)=sqrt(104)
x=±sqrt(104)
Reject x=-sqrt(104) because a negative side length in a triangle is impossible. Therefore,
x=sqrt(104) in
Part b:
The figure is a right triangle. Therefore, the Pythagorean Theorem (a²+b²=c²) applies. Hence,
5²+(2x)²=(3x)²
25+4x²=9x²
(25+4x²)-4x²=9x²-4x²
25=5x²
5=x²
sqrt(5)=sqrt(x²)
x=±sqrt(5)
Reject x=-sqrt(5) because a negative side length is impossible.
The answer must be x=sqrt(5) in.
Answer:
The most precise measurement is 1/36 yd.
Step-by-step explanation:
In order to compare measurements, you would need to first convert them all to the same form of measurement in order to place them from least to greatest. Since there are 12 inches per foot and three feet per yard, that would mean there are 36 inches per yard. Since the first two measurements 3/32 and 3/12 are both in inches, then we just need to convert 1/12 ft and 1/36 yd to inches. Since there are 12 inches per foot, we can multiply 1/12 x 1/12 to get 1/144 inches. Likewise, since there are 36 inches per yard, we can multiply 1/36 x 1/36 to get 1/1296 inches. Looking at our fractions, we see that 1/1296 inches would be the most precise measurement because it is the smallest fraction.
Answer:
The standard form of this equation is -8x + 3y = -68
Step-by-step explanation:
In order to find this, first solve for the constant.
y = 8/3x - 68/3
-8/3x + y = -68/3
Now we multiply by 3 to get them all equal to integers.
-8x + 3y = -68
Answer:
21.325 is the correct answer
<h3>
</h3><h3>please gimme brainliest :))!!</h3>
Yo got to the calculator click scientific then click 9 the go to the left side where all the x's are then click the one that looks like the y is on the top right next to the x and then click 6 and then click enter and then you get 531441
