Answer:
90°, 60°, and 30°
60°.
Step-by-step explanation:
The triangle ABC has side lengths √6, √2, and 2√2 units.
It is clear that the triangle ABC is right triangle because (2√2)² = (√6)² + (√2)² that means the side lengths satisfy the Pythagoras Theorem.
Now, if the angle between hypotenuse (2√2 units) and base (√2 units) is 
, then
Hence, = 60°
Therefore, the three angles of the triangle are 90°, 60°, and 30°.
Now, if the base of the triangle is 16 units, then other two side lengths will also change proportionally to remain the triangle a right triangle.
And in that case the base angle will remain 60°. (Answer)
Answer:
Volume of smaller cone =301.44
Step-by-step explanation:
First let angle of cone be
.
then 
= 3/5 (For bigger triangle)
Same cone angle is for smaller one because they are similar.
= 4/5
Now for smaller cone radius be R
3/5 =R/Slant height
Slant height =5/3R
Lateral surface area =
[R = slant height]
Given lateral surface area =60
=
...................................1
................................................2
Put angle beta in equation 1 and find the value of R
R =6 cm
Height =
Thus volume =
=301.44
The answer should be X>4
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
2*x+8-(5*x-4)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
-3x + 12 = -3 • (x - 4)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by -3
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Add 4 to both sides
x > 4
Answer: Slope is -2 and y int: -1
Step-by-step explanation: y=mx+b is the formula for finding slope & y intercept.
It was in your equation m=-2 and -1 being y intercept
