Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
4 Standard drinks he has consumed in over a two - hour time period.
<h3>What is Unitary Method?</h3>
The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
For example: 5 cars have price of $500. what will be the price of 10 cars.
Now, we know
5 cars → $500
1 car → $500/5
1 car → $100
10 cars → 8 x $100
10 cars → $800
The standard drink contains 12 - ounce of beer.
Here, we have given 1 red cup which has 16 - ounce of beer.
He has 3 red cups.
So, total ounce of beer he has consumed in two hour time period:
16 x 3 = 48 ounce of beer.
Now, as we know standard drink contains 12 - ounce of beer.
so, Number of standard drink = 48/12 = 4
Hence, 4 Standard drinks he has consumed in over a two - hour time period.
Learn more about " Unitary Method " from here: brainly.com/question/28276953
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Answer:
(i) 7/10
(ii) 3/10
(iii) 1/5
(iv) Rs 40,000
Step-by-step explanation:
The fraction of the salary spent on food = 1/2
The fraction of the salary spent on rented house fee = 1/5
(i) The fraction spent for both food and rental fee = (1/2) + (1/5) = (5 + 2)/10 = 7/10
(ii) The remainder (rest) of the salary = 1 - 7/10 = 3/10
The fraction of the remainder spent for children's education = 1/3
The fraction of the total salary spent for the children's education = (1/3) × (3/10) = 1/10
(iii) The remaining portion deposited in the bank = 1 - (1/10 + 7/10)) = 2/10 = 1/5
(iv) The amount equal to portion of 1/5 of his salary deposited in the bank is Rs 8000
Let <em>x</em> represent his whole salary, we have;
(1/5) × x = Rs 8,000
x = 5 × Rs 8,000 = Rs 40,000
His whole salary is Rs 40,000.
HI THERE!!!
The answer you chose is correct: Face
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Answer:
126
Step-by-step explanation:
(2*5*3)+(2*6*3)+(2*6*5)
