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SR = 450
<span>S = 450/R </span>
<span>(S - 3)(R + 5) = 450 </span>
<span>(450/R - 3)(R + 5) = 450 </span>
<span>(450 - 3R)(R + 5) = 450R </span>
<span>450R + 2250 - 3R^2 - 15R = 450R </span>
<span>3R^2 + 15R - 2250 = 0 </span>
<span>R^2 + 5R - 750 = 0 </span>
<span>R^2 + 30R - 25R - 750 = 0 </span>
<span>R(R + 30) - 25(R + 30) = 0 </span>
<span>(R + 30)(R - 25) = 0 </span>
<span>R ∈ {-30,25}
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<span>Only positive numbers make sense in this context, therefore R = 25.</span>
Answer:
The answer is (D) ⇒ a = 11.71 , b = 15.56
Step-by-step explanation:
* In ΔABC
∵ m∠A = 45°
∵ m∠B = 110°
∴ m∠C = 180 - 45 - 110 = 25°
By using the sin Rule
∵ a/sin(A) = b/sin(B) = c/sin(C)
∵ c = 7
∴ a/sin(45) = b/sin(110) = 7/sin(25)
∴ a = (7 × sin(45)) ÷ sin(25) = 11.71
∴ b = (7 × sin(110)) ÷ sin(25) = 15.56
∴ The answer is (D)
Hello there,
To find out the equation you use the slope intercept form...
y = mx + b
M is the slope and b is where the line crosses the y-axis...
Now to find the slope you count the distance from two points so...
The distance from (0,2) to (1,5) is 3 units up and 1 unit over.
So the correct answer should be...
y = 3x + 2
Answer: w = 3z + 2
Hope I helped!!
-Char
Answer:
C) Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
Step-by-step explanation:
When naming congruent shapes, the <u>orders of the congruent vertex letters need to be the same</u>.
Since these are isosceles triangles, the base angles are the same:
m∠R = m∠T = m∠A = m∠C
Therefore the congruency statement can be written two different ways.
ΔABC ≅ ΔRST
ΔABC ≅ ΔTSR
Both statements could be correct.
Choosing between B) and C):
To move ΔABC to where ΔRST or ΔTSR is, you could either:
i) Translate 6 units to the left, and translate 3 units down
ii) Reflect across the y-axis, and translate 3 units down
It can be the result of two translations or a reflection and a translation.
In the result, the base side RT is on the bottom of the shape, like side AC. If you rotated the shape, the base side would not be on the bottom. Therefore B) is incorrect.
For the answer to the question above asking <span>how many years was his money invested? The for the answer above is simple, it is I = Prt
</span>1200 = 1000 * 0.08 * t
<span>1200 = 80t
the answer is 15 years.
I hope my answer helped you. Have a nice day!
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