Angle P is 3 more than twice angle M. If the two angles are complementary, find the measure of the two angles.
Answers
Answer:
- 29° and 61°
Step-by-step explanation:
Complementary angles sum up to 90°
Given
- P + M = 90°
- P = 2M + 3°
Substituting P in the first equation
- 2M + 3° + M = 90°
- 3M = 87°
- M = 29°
Then
- P = 90° - 29° = 61°
GiveN:
- Angle P is 3 more than twice angle M.
- The two angles are complementary.
ToFinD:
- Measure of the two angles.
Step-wise-StepExplanation:
Complementary angles are angles that add upto 90°. They need not to be adjacent Always
According to question, Angle P = 2(Angle M) + 3°. And they add upto 90°.
⇒ Angle P + Angle M = 90°
⇒ 2(Angle M) + 3° + Angle M = 90°
⇒ 3 Angle M + 3° = 90°
⇒ 3 Angle M = 87°
⇒ Angle M = 29°
Then, Angle P = 2(29°) + 3° = 61°. Hence, the two complementary angles are 29° and 61°.
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What It Trigonometry ?
Answers
Answer:
1000 units
Step-by-step explanation:
Line segments with the same length are said to be __________.
Answers
Answers
7 x -3 = -21
difference = -10
the sum = 4
hope this helps you
Answers
41/3
Answers
7(2-x)(41)
8(x+1)-3(x+4)= ----------------
3
Simplify: (Show steps)
-287 574
5x-4= ---------- x+ --------
3 3
Step2: Add 287/3x to both sides.
287 -287 574 287
5x-4+ -------x= ----------x+ -------+ -------x
3 3 3 3
302/3x-4=574/3
Step 3: Add 4 to both sides.
302/3x-4+4=574/3+4
302/3x=586/3
Step 4: Multiply both sides by 3/302.
(3/302)*(302/3x)=(3/302)*(586/3)
296
So your answer would be x= --------
151
(B) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
(C) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
(D) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground
Answers
The function is a parabola, and the problem asks to transform the equation into f(t)=a(x-h)2 + k
Given f(t) = 4t2 -8t +7
= (4t2 - 8t + 4) + 7 - 4
=4 (t2 - 2t + 1) + 3
= 4 (t-1) 2 +3
This removes C and D from the viable choices.
Differentiating the f(t),
f’(t) = 8t – 8, the maximum/minimum value occurs at f’(t) = 0
0 = 8t – 8
t = 1
determining if maximum or minimum, f”(t) > 0 if minimum, f”(t) < 0 maximum
f”(t) = 8 > 0, therefore minimum
f(1) =4(1)^2 – 8(1) +7
= 3
Therefore, minimum height is 3.
Answer:
T= 4 s (second option).