Answer:
yes, no, yes, no
Step-by-step explanation:
m GH = 57''
________
tan 39° = opposite / adjacent
tan 39° = m GH / m HJ
tan 39° * m HJ = m GH
m HJ = m GH / tan 39°
m HJ ≈ 57'' / 0.810
m HJ ≈ 70.4'' <——<span>— measure of the segment HJ</span>
________
sin 39° = opposite / hypotenuse
sin 39° = m GH / m GJ
sin 39° * m GJ = m GH
m GJ = m GH / sin 39°
m GJ = 57'' / 0.629
m GJ ≈ 90.6'' <——— measure of the segment GJ
________
So the perimeter is
p = m GH + m HJ + m GJ
p = 57'' + 70.4'' + 90.6''
p = 218'' <——<span>— this is the answer.</span>
I hope this helps. =)
Tags: <em>perimeter right triangle sine cosine tangent sin cos tan trig trigonometry geometry</em>
Answer:
A. 34°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = <em>x</em>
Opposite leg AC = 24
Adjacent leg CB = 35
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Tangent]:

- Inverse Trig [Tangent]:

- Evaluate:

- Round:

A(−2, 6) ⇒⇒⇒ <span>A′(1, 6)
</span>B(2, 6) ⇒⇒⇒ <span>B′(5, 6)
</span>C(2, 4) ⇒⇒⇒ <span>C′(5, 4)
</span>D(−2, 4) ⇒⇒⇒ D′(1, 4)
By comparing the coordinates of points and its images we can deduce the rule of the transformation which is :
(x , y ) ⇒⇒⇒ ( x + 3 , y )
So, the <span>rectangle is transformed 3 units to the right.</span>
Answer:
5 units
Step-by-step explanation:
If point T is on the line segment SU, then ST + TU = SU.
Given
TU = 4x + 1
SU = 8
ST = 3x
To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;
3x+4x+1 = 8
7x+1 = 8
subtract 1 from both sides
7x+1-1 = 8-1
7x = 7
divide both sides by 7
7x/7 = 7/7
x = 1
Substitute x = 1 into the length TU
Since TU = 4x+1
TU = 4(1)+1
TU = 5
Hence the numerical length of TU is 5 units