Answer:
a) 34.64 inches
b) The TV will not fit inside the TV cabinet
Step-by-step explanation:
Angharad is buying a new 40-inch screen TV (remember that TV screens are measured along the diagonal )
a)If it is 20 inches tall, how wide is the screen ?
We solve using the formula:
Diagonal ² = Width² + Height²
Diagonal = 40 inches
Height = 20 inches
40² = Width² + 20²
Width² = 40² - 20²
Width = √40² - 20²
Width = √(1200)
Width = 34.641016151 inches
Approximately = 34.64 inches
b)Her TV cabinet is 30 inches wide .will the TV fit inside it ?
From the above calculation, the width of the TV = 34.64 inches
Hence the width of the cabinet has to be equal to or more than 34.64 inches
Hence, The TV will not fit inside the TV cabinet
Answer:: The family budget to make the one-way trip should be $70. Since, they need 20 gallons for driving out of state to her grandmother's house
Step-by-step explanation:
The Pythagorean identity is
sin²Ф + cos²Ф=1
or
sin²Ф= 1- cos²Ф
Now in the problem we are given that
cos Ф=3/5
Now to find sin Ф, we can plug the value of cos Ф in the identity
So
sin²Ф= 1- cos²Ф = 1-(3/5)² = 1- 9/25 = (25-9)/25 = 16/25
Sin²Ф= 16/25
take square root on both sides
Now when we take square root on both sides we have to always remember that we will get one positive and one negative answer
So
Sin Ф = 4/5 or -4/5
Answer:
X= O.8 or 10 over 12.5
Step-by-step explanation: Hope this helps darling