Assuming that you mean that the sector is 7/16th of the area, we know that there are 360 degrees in a circle. To find 7/16th of that, we can simply multiply 360 by 7/16 to get 157.5 as the measure of the sector's arc in degrees
Answer: like terms are 17c and 10c, 3d and d
17c + 10c=27c
Step-by-step explanation:−3d−17c+10c−d
=−3d+−17c+10c+−d
Combine Like Terms:
=−3d+−17c+10c+−d
=(−17c+10c)+(−3d+−d)
=−7c+−4d
The radius of a circle is half the length of the circumference.
So multiply 12 by itself and you get 24.
The answer is C.
So legnt=l
width=w
l=-7+3w
l=3w-7
area=66
area=legnth times width or
area=lw
subisutte
area=lw
l=3w-7
66=(3w-7)(w)
66=3w^2-7w
subtrac 66 from both sides
0=3w^2-7w-66
factor
HOW TO
multiply 3 and -66=-198
find what 2 numbers add up to -7 and multiply to get -198
the numbers area 11 and -18
so
3w^2-18w+11w-66=0
factor
(3w^2-18w)+(11w-66)=0
(3w)(w-6)+(11)(w-6)=0
factor using distributive (ab+ac=a(b+c))
(3w+11)(w-6)=0
set them to zero
3w+11=0
subtract 11
3w=-11
legnths cannot be negative so we discard this
w-6=0
add 6
w=6
width=6
legnth=3w-7
length=3(6)-7
legnt=18-7
legnth=11
width=6
legnth=11
Answer:
D. 647.8 miles per hour; S86.5°E
Step-by-step explanation:
We assume the wind direction is supposed to be S58°E. Then the bearing of the plane measured clockwise from north is 90°, and the direction the wind is blowing toward has a bearing of 122°. The resultant speed and direction is the sum of the two vectors, which is easily found using a suitable calculator:
583∠90° + 75∠122° = 647.8∠93.5°
The bearing of 93.5° translates to the direction S86.5°E.
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An angle east of south is subtracted from 180° (south) to find the equivalent bearing.
