Answer:
A.) 90 clockwise
E.)270 Counter Clockwise
Step-by-step explanation:
A.) Ro, -90 Rotation about the origin (0,0) 90° clockwise
(x, y) ⇒ (y, -x)
(-1, 5) ⇒ (5, 1)
E.) Ro, 270 Counter Clockwise
(x, y) ⇒ (y, -x)
(-1, 5) ⇒ (5, 1)
Answer:
Exact Form: x = 7/2
Decimal Form: x = 3.5
Mixed Number Form: 3 1/2
Step-by-step explanation:
Brainliest Please! Hermionia out!
The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>
The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
Read more about polynomial at:
brainly.com/question/4142886
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Answer:
x=4
Step-by-step explanation:
We can find the length of RT by using the Pythagorean theorem
sin theta = opposite side/ hypotenuse
sin 60 = 2 sqrt(3)/ RT
Multiply each side by RT
RT sin 60 = 2 sqrt(3)
Divide by sin 60
RT = 2 sqrt(3)/ sin 60
RT = 4
Then
tan theta = opposite side/ adjacent side
tan 45 = x/RT
tan 45 = x/4
4 tan 45 = x
4 = x
