Answer:
12.5pages
Step-by-step explanation:
50pages ×6hours=300 and then we divide by 8 to get 37.5(the number of pages printed by david in 6 hours)
subtract 37.5 from 50 to find the number of pages printed by andy
Answer:
Step-by-step explanation:
In a right-angled triangle, by definition:
sinX = opposite side / hypothesis
= 5/13
tanX = opposity side / adjacent side
= 5/12
cosX = adjacent side / hypothesis
= 12/13
Answer:
See Below.
Step-by-step explanation:
In the given figure, O is the center of the circle. Two equal chords AB and CD intersect each other at E.
We want to prove that I) AE = CE and II) BE = DE
First, we will construct two triangles by constructing segments AD and CB. This is shown in Figure 1.
Recall that congruent chords have congruent arcs. Since chords AB ≅ CD, their respective arcs are also congruent:
Arc AB is the sum of Arcs AD and DB:
Likewise, Arc CD is the sum of Arcs CB and DB. So:
Since Arc AB ≅ Arc CD:
Solve:
The converse tells us that congruent arcs have congruent chords. Thus:
Note that both ∠ADC and ∠CBA intercept the same arc Arc AC. Therefore:
Additionally:
Since they are vertical angles.
Thus:
By AAS.
Then by CPCTC:
Answer:
y- intercept is 'b'
Step-by-step explanation:
<u>Explanation</u>:-
Equation of the line having a slope 'm' and y- intercept 'c' is y=mx+c
slope - intercept form is y = mx +c
In given equation y = mx +b comparing y = mx +c
In above equation 'm' is the slope of the line = tan θ , θ be the angle
and y- intercept is 'b'
Volume of sphere is given by:
V=4/3πr³
thus the value of r will be found as follows:
Plug in the values we get:
18432π=4/3πr³
solving for r we get:
r³=13824
r=∛13824
r=24 ft
