ANSWER
The correct answer is C
EXPLANATION
We want to find the quotient:
We multiply by the reciprocal of the second fraction:
We cancel out the common factors to obtain:
We multiply to get
This simplifies to :
The correct answer is C
Answer:
180
Step-by-step explanation:
100+82=182-2=180
Answer:
Sophie has 12.5 cards
Step-by-step explanation:
Let
x -----> number of cards Sophie has
y -----> number of cards Jackie has
we know that
x+y=30 -----> equation A
y=x+5 -----> equation B
Solve by substitution
Substitute equation B in equation A and solve for x
x+(x+5)=30
2x=30-5
x=12.5 cards
Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number
Answer:
We would pay $.13 or 13 cents
Step-by-step explanation:
To find the tax on an item, multiply the amount by the tax rate
tax =3 * 4.4%
Change to a decimal form
= 3 *.044
=.132
We round to the nearest cent
=.13
We would pay $.13 or 13 cents
Answer:
343.7 ft
Step-by-step explanation:
The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.
The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...
Sin(angle) = Opposite/Hypotenuse
Filling in the given information, you have ...
sin(31°) = (177 ft)/hypotenuse
Solving for hypotenuse gives
hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft
The length of the guy wire should be 343.7 ft.
