Answer:
3. 261 ft³
Step-by-step explanation:
Volume of the figure = ½(volume of cylinder) + volume of triangular prism)
✔️Volume of cylinder = πr²h
r = 3 ft
h = 10 ft
Volume of cylinder = π*3²*10 = 282.74 ft³
✔️Volume of right triangular prism = ½*b*h*l
b = 3*2 = 6 ft
h = 4 ft
l = 10 ft
Volume of triangular prism = ½*6*4*10 = 120 ft³
✔️Plug in the values into the equation:
Volume of the figure = ½(282.74) + 120 = 261.37 ≈ 261 ft³
Answer:
Step-by-step explanation:
<h2>1</h2>
Use similarity ΔPQS ~ ΔRQS
<u>Use the ratio of corresponding sides:</u>
- PS/QS=QS/SR
- PS*SR = QS²
- PS*20 = 8²
- 20PS = 64
- PS = 64/20
- PS = 3.2
<h2>2</h2>
Find PS
- PS = PR - RS = 72 - 54 = 18
Use similarity ΔPQS ~ ΔPRQ
<u>Ratio of corresponding sides:</u>
- PQ/PR=PS/PQ
- PQ² = PR*PS
- PQ² = 72*18 = 4*18*18 = (2*18)² = 36²
- PQ = 36
<h2>3</h2>
Use similarity ΔPQS ~ ΔPRQ
<u>Ratio of corresponding sides:</u>
- PQ/PR=PS/PQ
- PS=PQ²/PR
- PS = 14²/28 = 7
<u>Find RS:</u>
- RS = PR - PS = 28 - 7 = 21
<h2>4</h2>
<u>Answer options</u>
- a) ΔRPQ ~ ΔRQS - correct
- b) ΔRQS ~ ΔQPS - correct
- c) ΔRPQ ~ ΔQPS - correct
- d) ΔRPQ ~ ΔRQS ~ ΔQPS - most correct as combines all above choices
It’s 1 and 2.
Comment if you need clarification.
The equation of the line is y = -x + 6 if the passes through the point (4, 2).
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
From the graph:
The slope of the line g = (0-5)/(-5-0)
= 1
The slope perpendicular to the line g:
= -1
y - 2 = -(x - 4)
y - 2 = -x + 4
y = -x + 6
Thus, the equation of the line is y = -x + 6 if the passes through the point (4, 2).
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ1
Answer:
A the graph represents a linear function because
Step-by-step explanation: