Answer:
<h2>a. V = 420 cm³</h2><h2>b. V = 444 in³</h2><h2>c. V = 108 cm³</h2><h2>d. V = 324 m³</h2>
Step-by-step explanation:
We have the rectangular prisms.
The formula of a volume of a rectangular prism is:
l - length
w - width
h - height
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Look at the picture.
a.
Two congruent rectangular prisms 14cm × 3cm × 5cm.
b.
One rectangular prism 15in × 4in × 6in and next 7in × 4in × 3in:
c.
One rectangular prism 10cm × 3cm × 2cm and next 4cm × 3cm × 4cm:
d.
One rectangular prism 10m × 3m × 6m and next 8m × 3m × 6m:
7 < 2m - 23
add 23 to both sides
30 < 2m
divide both sides by 2
15 < m
same as m > 15
Answer:
Step-by-step explanation:
the transverse axis is horizontal.
so its a horizontal hyperbola
Center is the origin so center is (0,0)
Equation of horizontal hyperbola is
Given a= 55000 and c= 81000
c^2 = a^2 + b^2
81000^2 = 55000^2 + b^2
subtract 55000^2 on both sides
b = sqrt(81000^2 - 55000^2)= 59464.27
now plug in the values
Answer:
5.3
Step-by-step explanation:
You use the Pythagoras theorem which is a^2+b^2=c^2.
Since you're solving for a side length that's not the hypotenuse you will manipulate the equation to c^2-a^2=b^2. From here you just plug in numbers.
8^2 - 6^2 = b^2
64 - 36 = b^2
b = sqrt(28)
b = 5.2915.... = 5.3
