Answer:
im thinking 16 tell me if i got it wrong
Answer: 1.106D
Step-by-step explanation: 7.830=3.915(1.106)D and 2 = 1.106D
Answer:
Step-by-step explanation:
There is a relationship if you have two lines intersecting a circle and forming an angle outside of it. In this instance. There is a large arc, a small arc and the outside angle. The relationship is (L-S)/2 = A, so large arc minus small arc all over 2 equals that outside angle.
In this case the outside angle is U, the small arc is RT and the large arc is RS. It gives us RS but we need RT. There is another relationship to know, and that is that of an inscribed angle. Or in other words if an angle is made inside a circle and the two lines touch the circle at two other points. We have that here with angle S being an inscribed angle and making the arc RT, what we need to find.
The relationship for an inscribed angle is the inscribed angle = .5* arc angle. So we can find the arc angle RT.
If we call the arc angle A and the inscribed angle I we can rewrite what I put before as I = .5A and then as I/.5 = A since we want to find the arc. This can also be written as 2I = A
U = (SR-RT)/2
U = (SR - 2*S)/2
U = (82 - 2*22)/2
U = 19
If you want further explanation onto how the relationships I described worked I'd be happy to explain or perhaps link a video.
To have a remainder 3, we take away 3 from each number first.
<u>Take away 3:</u>
224 - 3 = 221
250 - 3 = 247
302 - 3 = 299
<u>Prime factorisation of each of the numbers:</u>
221 = <span>13 x 17
247 = 13 x 19
299 = 13 x 23
<u>Find HCF:</u>
HCF = 13
Answer: The largest number that can be divided is 13.</span>
Answer: The system of equations are
30x + 15y = 330
x = y + 2
Step-by-step explanation:
Let x represent the number of hours that Caleb worked.
Let y represent the number of hours that Landon worked.
Caleb can iron 30 shirts per hour, and Landon can iron 15 shirts per hour. This means that the number of shirts that Caleb would iron in x hours is 30x and the number of shirts that Landon would iron in y hours is 15y. They ironed 330 shirts between them. This means that
30x + 15y = 330 - - -- - - - - - - - - - - -1
Caleb worked 2 more hours than Landon. This means that
x = y + 2 - - - -- - - - - - - -2