Answer:
Solution given:
Volume of rectangular prism=length*breadth*height
for
1st one 4in,3in,6in
Volume=4*3*6=<u>72cu.in</u>
For second one 6in,3in,2in
Volume=6*3*2=<u>36cu.in</u>
For third one 4in ,5in,4in
Volume=4*5*4=<u>8</u><u>0</u><u>c</u><u>u</u><u>.</u><u>in</u>
For forth one 2in,9in,3in
Volume=2*9*3=<u>5</u><u>4</u><u>cu</u><u>.</u><u>in</u>
Answer:
28
Step-by-step explanation:
If 50% of students are boys that means there are 30 boys and 30 girls. Then if 30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
77
step by step explanation
Answer:
x =
y
Step-by-step explanation:
Given x : y = 2 : 3
Express the ratios as a fraction, that is
=
( cross- multiply )
3x = 2y ( divide both sides by 3 )
x =
y