Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear f
2 answers:
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Answer:
The value of y is 6 units ⇒ 2nd answer
Step-by-step explanation:
In the attached figure
∵ ∠MTN is a right angle
∵ TU is the altitude of the triangle
- There are some rules in this triangle let us revise them
- (NT)² = NU . NM
- (MT)² = MU . MN
- (TU)² = MU . NU
- TM . TN = TU . MN
∵ NU = 9 units
∵ UM = 3 units
∵ MN = UM + NU
∴ MN = 3 + 9 = 12 units
- By using the 1st rule above
∴ (NT)² = 9 × 12
∴ (NT)² = 108
- Take a square root to both sides
∴ NT =
- Simplify the root
∴ NT = 6 units
∵ NT is y
∴ y = 6 units
The value of y is 6 units
Answer:
51 rows
Step-by-step explanation:
Given
Length of bookmark = 20cm
Distance between beads = 4mm
Required
Number of rows of beads
First, the distance between the rows of beads must be converted to cm
if 1mm = 0.1cm
then
4mm = 4*0.1cm
4mm = 0.4 cm
This means that each row of beads is placed at 0.4 cm mark.
The distance between each row follows an arithmetic progression and it can be solved as follows;
Where (The last term)
(The first term)
(The distance between each row of beads)
n = ?? (number of rows)
Solving for n; we have the following;
becomes
DIvide both sides by 0.4
Add 1 to both sides
Hence, the number of rows of beads is 51
Possible values for y are<u> infinite</u>
<h3>Further explanation </h3>Trigonometry is the science of mathematics that studies the relationship between sides and angles in triangles
Given special angles of trigonometric functions, for example
In the trigonometric function equation y = cos⁻¹ 0, then the value of y can be determined:
y = cos⁻¹0
y = arc cos 0
cos y = 0
Then the value of y :
Or can be formulated :
⇒ y: arithmetic sequence
So there are infinite values for y
<h3>Learn more</h3>
trigonometric identities
Keywords: trigonometric, infinite values,arithmetic sequence
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