Answer:
cubic feet
Step-by-step explanation:
If these are the width, length and height of a rectangular box (such details were not specified in the question), the volume is calculated by multiplying the three quantities because the volume of a rectangular prism is : width x height x length.
The easiest way to do it when mixed numbers are involved (specially when the denominators of the fractions are "4" like in your case), is to convert them to decimal form and then do the multiplication:
3 1/4 = 3.25
3 3/4 = 3.75
now do the product of the three quantities:
3 x 3.25 x 3.75 = 36.5625 = 36 + 0.5625
now convert 0.5625 into fraction form: 9/16 and you get the final answer (remember to include the cubic form of the units "ft" since each quantity you multiply carries a feet unit:
36 9/16 cubic feet
<h3>
Answer: a = -1 (fourth choice)</h3>
==========================================
Work Shown:
q = (-4, 1) is one vector
r = (a,3) is another vector
The resultant vector is
q+r = (-4,1)+(a,3)
q+r = (-4+a,1+3)
q+r = (-4+a,4)
Multiply both sides by 7
7(q+r) = 7*(-4+a,4)
7(q+r) = (7*(-4+a),7*4)
7(q+r) = (-28+7a, 28)
---------------
Since 7(q+r) = (-35, 28), we know that,
(-28+7a, 28) = (-35, 28)
which leads to
-28 + 7a = -35
when we equate the x components of each vector. Let's solve for 'a'
-28 + 7a = -35
7a = -35+28
7a = -7
a = -7/7
a = -1
--------------
Check:
q = (-4,1)
r = (a,3) = (-1,3)
q+r = (-4,1)+(-1,3)
q+r = (-4+(-1), 1+3)
q+r = (-5, 4)
7*(q+r) = 7*(-5, 4)
7*(q+r) = (7*(-5), 7*4)
7*(q+r) = (-35, 28)
The answer is confirmed.
Answer:
x^2 + 2x - 15
Step-by-step explanation:
(x-3)(x+5) = x^2 + 2x - 15
hope this helps, pls mark brainliest :D
Answer:
Most likely 8 word problems and 30 multiple choice
Step-by-step explanation:
8x5=40 and 30×2=60
40+60=100
Answer:
The circumference of Dan's circle is approximately 50.27 inches.
Step-by-step explanation:
The length of the circumference (
), measured in inches, is determined by the formula:
(1)
Where 
is the radius, measured in inches.
If we know that 
, then the length of the circumference is:
The circumference of Dan's circle is approximately 50.27 inches.
