Volume=legnth times widht times height
since this is a rectangle and multiplication is commutative
doesn't matter what order wr multiply
V=5*5*12
V=300 in^3
Answer:
Length= 30 in
Width= 10 in
Step-by-step explanation:
Let the width of the rectangle be x in.
Length of rectangle
= 3 (width)
= 3x
Perimeter of rectangle= 2(length) +2(width)
80= 2(3x) +2(x)
80= 6x +2x
8x= 80 <em>(</em><em>simplify</em><em>)</em>
x= 80 ÷8 <em>(</em><em>÷</em><em>8</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x= 10
Thus width of rectangle= 10 in
Length of rectangle
= 3(10)
= 30 in
Answer:
4
Step-by-step explanation:
7x = x² - 8
=> x² - 7x - 8 = 0
use quadratic formula:
a = 1, b = -7, c = -8
x = 
<em>(pls ignore the "A" I don't know why it's showing up)</em>
=> x = 
=> x = 
=> x = 
= 4 or 
= -5 <em>(the answer is only 4 since it's asking for the positive solution)</em>
Answer:
x = 40 in
Step-by-step explanation:
the missing angle in the triangle on the left is
180° - (74 + 51)° = 180° - 125° = 55°
the missing angle in the triangle on the right is
180° - (74 + 55)° = 180° - 129° = 51°
the 2 triangles have 3 pairs of congruent angles and are therefore congruent.
Corresponding sides and angles are then congruent
consider the corresponding sides opposite 74° , that is x and 40 in , so
x = 40 in
Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
