Answer:
11 & 5 are the factors of 55
Step-by-step explanation:
Factors of 55
11 × 5 = 55
Thus, 11 & 5 are the factors of 55
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
Volume = π [ 2/3 - 12/2].
Step-by-step explanation:
So, in this question we are asked to find or Calculate for or determine the value of volume v of the solid obtained by rotating the region bonded by the given curves about the specified lines = ? (Unknown). In addition, we are given that y = x, y = x , so, about x = 3.
Volume = π ∫ [ (3 - y)^2 - (3 - y)^2 ] dy.
(Taking 0 and 1 as the lower and upper limit).
Volume = π ∫ 9 - 6y + y^2 - 9 - 6y + y^2 dy.
(Taking 0 and 1 as the lower and upper limit).
Volume = π ∫ 2y^2 - 12y dy.
(Taking 0 and 1 as the lower and upper limit).
(Solving the quadratic equation above, we have; Roots: -6, 0
Root Pair: -3 ± 3
Factored: f(x) = 2(x + 6)x)
Also,
Volume = π [ 2y^3 / 3 - 12y2/2]
Volume = π [ 2/3 - 12/2] cubic units.
Answer:
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
Step-by-step explanation:
Let
x = days he reads for 4.5 hours
y = days he reads for 3.5 hours
x + y = 7 (1)
4.5x + 3.5y = 25.5 (2)
From (1)
x = 7 - y
Substitute x = 7 - y into (2)
4.5x + 3.5y = 25.5 (2)
4.5(7 - y) + 3.5y = 25.5
31.5 - 4.5y + 3.5y = 25.5
- 4.5y + 3.5y = 25.5 - 31.5
-y = -6
y = 6
Substitute y = 6 into (1)
x + y = 7 (1)
x + 6 = 7
x = 7 - 6
x = 1
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
Answer:
72x3 or 6x9 sorry if wong
Step-by-step explanation:
Answer:
Step-by-step explanation:
To start calculating, we first need to make some proof.
Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.
Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:
∠BED=∠CFD
∠DBE=∠DCF
To make it easier to visualize which are the corresponding vertexes, we can draw them like this:
And we need to remember that BC is 24, so:
BD+CD=24
Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:
This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:
Thus, the measure of CF is approximately 13, alternative D.
