Ok, so first find out what the number actually will be
16 - 9 = 7
So you need to find out the complete number. You can do that by dividing
7 / 5% = 120
So that means the sum of 5% of 120 and 9 is 16.
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Answer:
4n^2 - 3n + 7
Step-by-step explanation:
Area is length x width. If the width is 5n^2, we have to factor that out of each variable of the area
Area: 20n^4 - 15n^3 + 35n^2
20n^4 divided by 5n^2 = 4n^2
-15n^3 divided by 5n^2 = -3n
35n^2 divided by 5n^2 = 7
So the length is 4n^2 - 3n + 7
Answer:
Step-by-step explanation:
You can make both equations equal and solve for the variable x, as you can see below:
Keep on mind that:
Then:
Apply the quadratic formula:
Substitute each value into one of the originl equations to find y, then:
Answer:
Equation is;
(D/8) + (D/4) = 1600
D = 4266.67 ft
Step-by-step explanation:
We are told that the bee flies at a rate of 8ft/sec directly to a flowerbed from its hive. Thus,
speed during this stage is; v1 = 8ft/sec
Time during this stage is; t1
The bee stays at the flower bed for 1200 seconds.
Thus, time at this stage is; t2 = 1200 s
It flies directly back to the hive at 4ft/sec.
Speed at this stage; v2 = 4 ft/s
Time at this stage; t3
We are told that it was away for a total of 2800 seconds.
Thus; t1 + t2 + t3 = 2800
Since t2 = 1200 s, then;
t1 + 1200 + t3 = 2800
t1 + t3 = 2800 - 1200
t1 + t3 = 1600
Now, during time t1, the speed was 8ft/sec, since distance is equal to speed × time, then we have;
D = 8t1
t1 = D/8
During time t3, the speed was 4ft/sec. Thus; D = 4t3
t3 = D/4
Thus,since t1 + t3 = 1600
Then;
(D/8) + (D/4) = 1600
Multiply through by 8 to get;
D + 2D = 1600 × 8
3D = 12800
D = 12800/3
D = 4266.67 ft
9514 1404 393
Answer:
16. 134°
17. 20°
18. 94°
Step-by-step explanation:
An inscribed angle is half the measure of the arc it intercepts.
__
16. Arc QT is twice the measure of inscribed angle QST, given as 67°.
Arc QT = 2×67°
Arc QT = 134°
__
17. Angle STR is half the measure of arc SR, so is ...
m∠STR = (arc SR)/2 = 40°/2
m∠STR = 20°
__
18. Arc RST is a semicircle, so has a measure of 180°. Then arc ST is the difference between that and arc RS:
arc ST = 180° -40° = 140°
Angle RST subtends a semicircle, so is 180°/2 = 90°. We know angle QST is 67°, so the remaining portion, angle QSR must be the complement of that:
m∠QSR = 90° -67° = 23°
Arc RQ will be twice this measure, or 46°.
So, the desired difference is ...
mST -mRQ = 140° -46° = 94°
