Angle SRT is undetermined by the question.
A diameter always subtends a right angle (Thales' Theorem, the first in geometry) so we can be assured SRU, STU, RUT and RST are right angles.
Answer:
A = 3228.2854
I = 1228.2854
Step-by-step explanation:
1 . Use the CI formula. (Reference in file.)
2. Solve equation after plugging the given information we have.
3. We will have the Amount after solving the equation.
4. To find interest we use formula A=P+I
Source - TutorEye
Answer:
9.85 - 1.15 = 8.70
Step-by-step explanation:
you jus subtract :)
<h3>
Answer: 18.8</h3>
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Explanation:
For now, let's focus on triangle AFG.
This is a right triangle with the following sides:
- FA = unknown horizontal leg = x
- FG = vertical leg = 6.1
- AG = hypotenuse = 11.2
We'll use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
(FA)^2 + (FG)^2 = (AG)^2
x^2 + (6.1)^2 = (11.2)^2
x^2 + 37.21 = 125.44
x^2 = 125.44 - 37.21
x^2 = 88.23
x = sqrt(88.23)
x = 9.39308 approximately
Side FA is roughly 9.39308 units long.
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Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.
Put another way:
- FG is a perpendicular bisector for AE
- DG is a perpendicular bisector for EC
Because of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.
We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.
Therefore,
AE = FA + FE
AE = 9.39308 + 9.39308
AE = 18.78616
AE = 18.8 when rounding to the nearest tenth, aka one decimal place.