Answer:
The distance between them after 30 minutes is 6.5 km.
Step-by-step explanation:
Speed = 
Sarah's speed = 6 km/hr = 1.6667 m/s
Emily's speed = 10 km/hr = 2.7778 m/s
The measure of angle between their bearings = 
After 30 minutes (1800 seconds);
distance = speed x time
Sarah would have covered a distance = 1.6667 x 1800
= 3000 m
= 3 km
Emily would have covered a distance = 2.7778 x 1800
= 5000 m
= 5 km
The distance between them, a, can be determined by applying the cosine rule;
= 
+ 
- 2bcCos A
= 
+ 
-2(5000 x 3000) Cos 105
= + -2(5000 x 3000) x (-0.2588)
= 2.5 x 
+ 9 x 
+ 7764000
= 41764000
a = 
= 6462.5073
a = 6462.5 m
The distance between them after 30 minutes is 6.5 km.
Answer:
Step-by-step explanation:
Properties of a circumcenter;
1). Circumcenter of a triangle is a point which is equidistant from all vertices.
2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.
From the picture attached,
9). AG = GB = GC = 21
10). BC = 2(DC)
= 2×16
= 32
11). By applying Pythagoras Theorem in ΔGFB,
GB² = GF² + FB²
(21)² = GF² + (19)²
441 = GF² + 361
GF² = 441 - 361
GF = 
GF = 8.9
12). By applying Pythagoras theorem in ΔGDB,
GB² = DG² + BD²
(21)² = (DG)² + (16)² [BD = DC = 16]
DG² = 441 - 256
DG = √185
DG = 13.6
The proportional relationship that represents the market that sells their carrots at a lower rate per pound is: y = 1.6x.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
From the table, the rate is:
k = $8.8/4.4 = 2.
From the market, the rate is:
k = $4.8/3 = $1.6.
Hence the equation is y = 1.6x.
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
AI=3.25 IH= 4.2
Step-by-step explanation
The distance between C and D is 1.3 inches, the distance between E and F is 0.75 inches and the distance between G and H is 1.2 inches. This is true because the model says so. If you look closely together, this is equal to the distance between AI which is the length of AI. The answer would be 1.2+1.3+0.75=3.25. To find the length of side IH you do the same strategy, the distance between sides D and E is 4.8 inches, at the bottom is 9 inches of distance between side I and side F. 9-4.8 inches is equal to 4.2 inches. Therefore, the length of side AI is 3.25 inches and the length of side IH is 4.2 inches. If I am wrong please tell me for feedback, I also hoped that this has helped you in your learning :)
