A) Scale factor:
Divide 2 congruent sides:
24 / 36 = 0.667
From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.
B) Volume = (1/2 x base x side) x height:
Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.
C) Find the height of the prism:
7776 = (1/2 * base * sides) x height
7776 = (1/2 x 36 x 48) * height
7776 = 864 * height
Height = 7776 / 864 = 9 inches.
The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.
Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.
Hello Melissamv9321, <span>find the lengths of the missing sides if side a is opposite angle a, side b is opposite angle b, and side c is the hypotenuse</span> <span>In this right triangle, you are given the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always opposite the right angle and it is always the longest side of the triangle. To find the length of leg a, substitute the known values into the Pythagorean Theorem. Solve for a2.</span>
The circumference of the outer circle is greater than that of the inner circle by 18.86 feet.
<h3>What is Circle?</h3>
A circle is a round 2-dimensional shape. It is a closed shape with a distance from center to circumference termed as radius 'r' and distance from one point on the circumference to another point passing through center termed as diameter 'd'.
The circumference of the inner circle is 88 ft.
Circumference of a Circle = 2πr
2πr = 88
2 X 22/7 X r = 88
r = 88 X 7 / 44
r = 14 ft.
Radius of the inner circle = 14 feet
If the distance between the inner circle and the outer circle is 3 ft, the radius of the outer circle = 14+3 = 17 feet.
circumference of the outer Circle = 2πr
= 2 X 22/7 X 17
= 106.86 ft.
Difference in Circumference = 106.86 - 88 = 18.86 feet
Thus, the circumference of the outer circle is greater than that of the inner circle by 18.86 feet.
Learn more about Circle from:
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A^2 +b^2 = c^2
a= wall
b = ground (18)
c = ladder (25)
a^2 + 18^2 = 25^2
a^2 + 324 = 625
a^2 = 301
a = 17.349
You try different numbers to replace them.
