Answer:
8. Rotating the line 90° around any point.
Step-by-step explanation:
Perpendicular lines intersect each other at a right angle. Therefore, the transformation should create an image that intersects the preimage at an angle of 90∘. Since a rotation changes the angle between the preimage and the image, it can create perpendicular lines.
Answer:
it will take Larissa 4 17/27 hours to finish 5lbs of goldfish
Step-by-step explanation:
1.5 pound = 1 1/2 pound equivalent to 3/2 pounds
3/5 of a 1.5-pound
= 3/5 × 3/2 pounds
= 9/10 lbs of goldfish eaten in 5/6 hours
how long, in hours, would it take her to finish a 5-lb box of goldfish?
Find the ratio
9/10 lbs of goldfish : 5/6 hours = 5lbs of goldfish : t hours
9/10 ÷ 5/6 = 5 / t
Solve for t
9/10 × 6/5 = 5 / t
54 / 50 = 5 / t
Cross multiply
54 × t = 50 × 5
54t = 250
Divide both sides by 54
t = 250 / 54
= 4 34/54
= 4 17/27 hours
Therefore, it will take Larissa 4 17/27 hours to finish 5lbs of goldfish
Answer:
1.18 times
Step-by-step explanation:
Given that :
Surface area of Lake Victoria = 26,828 sq miles
How much larger is the surface area of lake superior than that of like Victoria?
The surface area of Lake Superior = 31,700 sq miles
Hence, taking the ratio of the surface area of the two Lakes :
Lake Superior / Lake Victoria
31,700 / 26,828
= 1.1816013
Hence, the surface area of Lake Superior is 1.18 times larger than the surface area of Lake Victoria.
AC=x, BC=x√3, AB is a hypotenuse (look at the pic below)
x√3>x, consequently ∠B<∠A and we have to find cosB, which is
(x√3)/AB.
<em>Let's find AB:</em>
AB=√(x²+(x√3)²)=√(x²+3x²)=√(4x²)=2x
<em>Thus, cosB is:</em>
cosB=(x√3)/(2x)=
√3/2
