Step-by-step explanation:
(F-g) (X)
= f(x) - g(x)
(2x² + 2 )-(x²-1) =
3x²+3
A stem and leaf plot shows sets of two digit numbers, by separating the ten’s place and the one’s place. On the left is the different ten’s values, while on the right next to each of the values on the left is the one’s values that associate with each of the ten’s values. This means that the numbers in this set of data are 32, 47, 51, 55, 55, 55, 58, 64, and so on. From there, you can use that knowledge to figure out how many scores were above 60.
The terms that are above 60 are 64, 65, 73, 74, 77, 87, 88, 91, 93, 93, 97, 99, and 99, for a total of 13 of the 20 scores being above 60.
Answer:the term of the loan is approximately 4 months
Step-by-step explanation:
The term of the loan means the period for which the loan was given.
We would apply the formula for simple interest which is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
From the information given
P = 17500
R = 6.5%
I = total amount paid - principal
I = 17,873.97 - 17,500.00 = 373.97
Therefore
373.97 = (17500 × 6.5 × T)/100
373.97 = 1137.5T
T = 373.97/1137.5
T = 0.32 years
Converting to months, it becomes
0.32 × 12 = 3.84
Approximately 4 months.
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Answer:
Step-by-step explanation:
<u>Given:</u>
The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)
<em>And,</em>
The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).
<u>To Find</u>:
The Area of Shaded region
<u>Solution:</u>
When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:
We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .
Put their values accordingly:
<u>Simplify it.</u>
<em>[</em><em>Follow BODMAS Rule strictly while </em><em>simplifying]</em>
Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .
I hope this helps!
