-7n-21-8-64n distributive property
-7n-64n-29 commutative property
-51n-29 combine like terms
Answer: 7776p^2q
Step-by-step explanation:
If you would like to know how many dollars is the increase, you can calculate this using the following steps:
7% of $45 = 7% * 45 = 7/100 * 45 = $3.15
Result: The increase is $3.15.
Answer:
Step-by-step explanation:
Triangles are similar if they have the same shape, but not necessarily the same size.
in this case we have
JK/MO = KL/ON = JL/MN
A) Use properties of similar triangles.
The measurement of angle J can be derived from triangle MNO.
Corresponding angle are congruent.
Angle J in triangle JKL correspond with angle M in triangle MNO.
Therefore:
Tangent M = opp/adj
tanM = 2/1.5
tanM = 1.3
M = tan-¹ 1.3
M = 52.43
J = M = 52.43°
B) MO in △MNO corresponds to JK in △JKL
C) JK/MO = KL/ON = JL/MN
find JL using Pythagoras theorem
JL² = KL² + JK²
JL² = 4²+3²
JL = √(16+8)
JL = 5
JK/MO = KL/ON = JL/MN
= 3/1.5 = 4/2 = 5/2.5 = 2/1
Therefore the ratio of larger triangle to small triangle is 2:1
Volume of the child's pool.
Time taken by hose pipe to fill the pool
Step-by-step explanation:
To form a function in the given situation, the two quantities related can be time and the amount to be filled , i.e the time taken by a hose pipe to fill the given volume of the child's pool. Time in the formed function can be represented to be directly proportional to the volume and the speed of the water through hose pipe can tell how long it it takes, i.e how much time will it take to fill the given volume of pool.