Answer:
9.75 mph
Step-by-step explanation:
3 1/4 ÷ 1/3 = 9 3/4
Answer:
Step-by-step explanation:1/4 times 24 that gives you 6 and then 5 times 24 is $120
Answer:
x=20°
2.
x=27°
Step-by-step explanation:
sin(x+20)=cos (2x+10)
=sin (90-(2x+10))
so x+20=90-(2x+10)
x+20+2x+10=90
3x=90-30
3x=60
x=60/3=20
2.
2x+14+x-5=90
3x+9=90
3x=90-9=81
x=81/3=27
The height (h) of the rectangular prism is: 1.9 feet.
<h3>How to Find the Volume of a Rectangular Prism?</h3>
A rectangular prism has a length (l), height (h), and a width (w). The volume of the rectangular prism is calculated using the formula given as: V = (length)(width)(height).
Given the following parameters:
Volume of the rectangular prism = 30.45 ft^3,
Length (l) = 6.3 ft,
Width (w) = 2.5 ft.
Height of the rectangular prism (h) = ?
Plug in the values
(6.3)(2.5)(h) = 30.45
15.75h = 30.45
15.75h/15.75 = 30.45/15.75
h ≈ 1.9 ft
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Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20