An estimate helps you place the decimal point when multiplying because if you find out how many decimals there are and once you are done doing you estimated multiplication you put two decimal points after that.
Hope I helped some what and didn't make you confused.
Answer:
90°
Step-by-step explanation:
Given - Mariyam wants to cut her chocolate brownie into two rectangles.
To find - What kind of angles will Mariyam form?
Proof -
If she cut the brownie in the rectangular shape, then the angle formed is 90°.
Answer: the rate at which the distance between the boats is increasing is 68 mph
Step-by-step explanation:
The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.
Let x represent the length the shorter leg(south) of the right angle triangle.
Let y represent the length the longer leg(east) of the right angle triangle.
Let z represent the hypotenuse.
Applying Pythagoras theorem
Hypotenuse² = opposite side² + adjacent side²
Therefore
z² = x² + y²
To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes
2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1
One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that
dx/dt = 32
dy/dt = 60
Distance = speed × time
Since t = 0.5 hour, then
x = 32 × 0.5 = 16 miles
y = 60 × 0.5 = 30 miles
z² = 16² + 30² = 256 + 900
z = √1156
z = 34 miles
Substituting these values into equation 1, it becomes
2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60
68dz/dt = 1024 + 3600
68dz/dt = 4624
dz/dt = 4624/68
dz/dt = 68 mph
12. A trapezoid is a quadrilateral. It has 4 sides
16. Two parallelograms. Two sides opposite of each other will be parallel to each other. The same is true with the other two sides. (length and width)
Answer:
43:100
Step-by-step explanation:
this is the simplest form
