Victoria learns 2 songs each week in piano lessons. Which graph shows the number of songs Victoria will learn if she takes les
sons for x weeks? A. B. C.
2 answers:
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Answer:
34 Cubes
Step-by-step explanation:
<u>Step 1: </u>Find the Volume of the Rectangular Prism
The dimensions of the rectangular prism are: 225 inches by 315 inches by 2 inches.
Volume of the Rectangular Prism = 225*315*2=141750 Cubic Inches
<u>Step 2:</u> Find the Volume of the Cube
Edge length of the cube, s=15 Inch
Volume of a Cube =
Volume==3375 Cubic Inches
<u>Step 3: </u>Determine how many cubes fit in the prism
To find out how many cubes fit in the rectangular prism, divide the volume of the rectangular prism by the volume of the cube.
Number of Cubes =Volume of the Rectangular Prism ÷ Volume of Cube
=141750 ÷ 3375
=34
34 Cubes will fit in the rectangular prism.
The value of CD is 10.7 cm , Option C is the right answer.
<h3>What is a Line Segment ?</h3>A line segment is a line of fixed measure.
From the figure , as Triangle ABC is a right angled triangle
sin 30 degree = (Perpendicular / Hypotenuse)
∠ B = 30° , AB= 10 cm
sin 30 = AC/10
AC = 5 cm.
To determine CD ,
In Triangle ADC ,
tan 25 = Perpendicular / Base
tan 25 = AC / CD
tan 25 = 5 / CD
CD = 5 / 0.4663
CD = 10.7 cm
Therefore the value of CD is 10.7 cm , Option C is the right answer.
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