Answer:
36 cubic centimeters
Step-by-step explanation:
In this question, we are tasked with calculating the volume of the rectangular prism.
mathematically, that can be obtained by using the formula for the volume of the rectangular prism.
V = Base area * height
from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.
Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters
Answer: -4/15
Step-by-step explanation: To add these two fractions together,
we start by finding their <em>Least Common Denominator</em> (LCD).
Since our denominators of 5 and 3 have no factors in common,
our least common denominator is 5 · 3 or 15.
In order to get a denominator of 15 in each fraction,
we multiply top and bottom of the first fraction by 3
and top and bottom of the second fraction by 5.
That gives us -9/15 + 5/15 which simplifies to -4/15.
As your last step, make sure that the fraction
that you end up with doesn't reduce.
In this case, -4/15 does not reduce but watch out for this last step.
Answer:
The time taken by Allan to complete the marathon 3.5 hours
Step-by-step explanation:
Given as :
The distance cover in marathon = d = 26.2 miles
∵ 1 mile = 1.609 km
So, d = 26.2 × 1.609 km
i.e d = 42.155 kilo meter
The average speed of Allan = s = 12 km per hour
Let the time taken by Allan to complete the marathon = t hours
Now, ∵ Time = 
Or, t = 
Or, t = 
or, t = 3.512 hours
So , The time taken by Allan to complete the marathon = t = 3.5 hours
Hence, The time taken by Allan to complete the marathon 3.5 hours Answer
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20
Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit
Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76°
Answer:
i hope this helps, i got x + 5 ≤ 13 as ur equation
Step-by-step explanation:
