The slant height of the pyramid can be calculated using Pythagoras theorem. Therefore, the slant height is 6.7 mm
<h3>How to find slant height of a pyramid?</h3>
The slant height x, can be found using Pythagoras theorem,
Therefore,
c² = a² + b²
where
- c = hypotenuse
- a and b are other two legs.
Therefore,
x² = 4.5² + 5²
x² = 20.25 + 25
x² = 45.25
x = √45.25
x = 6.72681202354
x = 6.7 mm
learn more on pyramid here: brainly.com/question/11805304
#SPJ1
Marcel leaves 30 minutes after Carolyn, leaving between them a gap of 40mph*0.5h=20miles
To catch up with the 20miles, Marcel uses the extra (65-40=25)mph that he has.
Therefore 20m/25mph=0.8h=0.8*60min=48minutes after 2:45, which is at 3:33, Marcel catches up to Carolyn.
Answer: <CDB corresponds to <ECD
Step-by-step explanation:
The angles in similar triangles correspond to each other.
For two angles in similar triangles to correspond to each other, then they have to be in the same position in the triangle. (EX: a 90 degree angle corresponds to another 90 degree angle or an angle across from the shortest side corresponds to another angle in the other triangle across from the shortest side)
In this case, <CDB is to the right of the 90 degree angle, so the angle it will correspond to is the angle in the other triangle which is opposite to the 90 degree angle, which is <CED.
<CED is not <ECD, so that answer is wrong.
Tell me if I need to clarify anything - this topic is kind of hard to explain :/
Answer:
c = 
250
Step-by-step explanation:
I think for the question above, instead of 2 · 3^2 · 7 it is <span>2 · 3^2 · 5.
</span>
Two numbers have prime factorizations of 2^2 • 3 • 5 and 2 • 3^2 • 5 (note 2 squared & 3 squared).
Now, to choose the GCF, you choose, for each base factor in either number, the least exponent-ed one; so the GCF needs a factor 2, a factor 3, and a factor 5. Thus the GCF is 30 (their product). [i.e,2 squared is not a common factor]
<span>To create the LCM, you choose, for each base factor in either number, the greatest exponented one. Thus, LCM needs a factor 2 squared, 3 squared, and 5, giving LCM = 4(9)(5) = 180.</span><span />
