Answer:he will need 2 minutes to eat the orange
Step-by-step explanation:
Because half of a minute is 30 seconds meaning that for every fourth he eats he adds on one fourth so by one minute he’ll have 2/4 done by 1 minute and 30 seconds he’ll have 3/4 done and by 2 minutes he’ll 4/4 done hope this helps
Answer:
1) triangles are similar
Step-by-step explanation:
The height from vertex X of isosceles ∆WXY is 4 units. The width WY is also 4 units. In isosceles ∆UVW, the height from vertex V is 6 units, and the width UW is also 6 units.
The height ratios are ...
∆WXY/∆UVW = 4/6
The width ratios are ...
∆WXY/∆UVW = 4/6
The measures of ∆WXY are proportional to those of ∆UVW, so the triangles are similar.
_____
Strictly speaking, you cannot go by triangle height and width alone. That is why we made not of the fact that the triangles are <em>isosceles</em>. When base and height of an isosceles triangle are proportional, the Pythagorean theorem guarantees that side lengths are proportional. Trigonometry can also be invoked to support the claim that angles are congruent.
Answer:
c. -13/4.
d. -13/3.
Step-by-step explanation:
c. f(3/2) = (1/2)(3/2) - 4
= 3 / 4 - 4
= 0.75 - 4
= -3.25
= -3 and 1/4
= -13/4.
d. f(-2/3) = (1/2)(-2/3) - 4
= -2/6 - 4
= -1/3 - 4
= -1/3 - 12/3
= -13/3.
Hope this helps!
Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old
Plug y=-5 into the equation
6x+8(-5)=-22
6x-40=-22
6x=-22+40
6x=18
x=3