Answer:
300,000
Step-by-step explanation:
423 x 764 = 323,172
Explanation:
The Law of Sines is your friend, as is the Pythagorean theorem.
Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.
Then we have from the Pythagorean theorem ...
b² = 4² +(2√2)² = 24
b = √24
From the Law of Sines, we know that ...
b/sin(60°) = a/sin(θ)
y/sin(45°) = a/sin(φ)
Solving the first of these equations for "a" and the second for "y", we get ...
a = b·sin(θ)/sin(60°)
and ...
y = a·sin(45°)/sin(φ)
Substituting for "a" into the second equation, we get ...
y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)
So, we need to find the value of the coefficient ...
b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)
= √(24·2/3) = √16 = 4
and that completes the development:
y = 4·sin(θ)/sin(φ)
Answer:
x=7
Step-by-step explanation:
Tina takes Karate classes every Tuesday and Thursday. The classes are 55 minutes long.
Take the 55 minutes and multiply that by 2 {2 represent Tuesday and Thurdsday} 55 x 2 = 110. Tina takes Karate classes for 110 minutes each week. Take the 110 and multiply that by 3 {3 represent the 3 weeks}. 110 x 3 = 330. 330 minutes is 5 hours and 30 minutes.
Tina's total hours of Karate in 3 weeks is 5 hours and 30 minutes.
Answer:
Step-by-step explanation:
a) a = 2*2.99- (2.99 +1.49)
a = 5.98 - 4.48
a = $1.50
r = 2* 3.99 - (3.99 + 2.49)
r = 7.98 - 6.48
r = $ 1.50
B) Both fruits has the same discount.
