Answer:
7
Step-by-step explanation:
2 x (3-1) + 3
Evaluate using PEMDAS
Parenthesis
Exponents
Math and Division ( left to right )
Addition and Subtraction ( left to right )
2 x (3-1) + 3
According to PEMDAS we do the operations inside of the parenthesis first
3 - 1 = 2
We now have: 2 x 2 + 3
Next we do exponents
There are no exponents so let's move on to multiplication and division
There is indeed multiplication so we do it
2 x 2 = 4
We now have: 4 + 3
Finally we do the addition
4 + 3 = 7
The answer is 7
Answer:
19/18
Step-by-step explanation:
substitute the value of m(11/6) in m-7/9
which is equal to 11/6 -7/9 =19/18
The required solution is ∠RQT = 202° and ∠QTS = 51°
<h3 />
<h3>What is a cyclic quadrilateral?</h3>
A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.
Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.
Now, the given circle has a cyclic quadrilateral QRST in which it is given that ∠RQT = 202° and ∠QRS = 129°
Since,sum of the opposite angles of a cyclic quadrilateral = 180°
⇒∠QTS + ∠QRS = 180°
⇒ ∠QTS + ∠129° = 180°
⇒ ∠QTS = 180° - ∠129°
⇒ ∠QTS = 51°
Hence,the requires angles are ∠RQT = 202° and ∠QTS = 51°.
More about cyclic quadrilateral :
brainly.com/question/14323008
#SPJ1
Answer:
78 ft³
Step-by-step explanation:
<u />
Volume of a rectangular prism = length × width × height
<u />
<u>Toy Box</u>
- length = 5 ft
- width = 3 ft
- height = 2ft
⇒ volume = 5 × 3 × 2 = 30 ft³
<u>Book Box</u>
- length = 6 ft
- width = 4 ft
- height = 2 ft
⇒ volume = 6 × 4 × 2 = 48 ft³
Total combined volume = 30 + 48 = 78 ft³
Answer:
independent: day number; dependent: hours of daylight
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
1.79 fewer hours on Feb 10
Step-by-step explanation:
a) The independent variable is the day number of the year (t), and the dependent variable is daylight hours (d).
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b) The average value of the sinusoidal function for daylight hours is given as 12 hours, 8 minutes, about 12.133 hours. The amplitude of the function is given as 2 hours 53 minutes, about 2.883 hours. Without too much error, we can assume the year length is 365.25 days, so that is the period of the function,
March 21 is day 80 of the year, so that will be the horizontal offset of the function. Putting these values into the form ...
d(t) = (average value) +(amplitude)sin(2π/(period)·(t -offset days))
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
__
c) d(41) = 10.34, so February 10 will have ...
12.13 -10.34 = 1.79
hours less daylight.
