Total amount paid by Rita is $98.79
Step-by-step explanation:
- Step 1: Given sales tax = 11% and cost of jeans = $89
- Step 2: Calculate amount of sales tax = 11% of 89 = 11/100 × 89 = $9.79
- Step 3: Calculate the total amount
Total Amount = 89 + 9.79 = $98.79
The area of the shaded region is 8.1838. The area of the shaded region is calculated by subtracting the area of the triangle from the area of the sector of the circle.
<h3>How to calculate the area of the sector?</h3>
The area of the sector of a circle with a radius 'r' and an angle of sector 'θ' is
A = (θ/360) πr² sq. units
<h3>How to calculate the area of a triangle with an angle?</h3>
The area of the triangle with measures of two sides and an angle between them is
A = 1/2 × a × b × sinC sq. units
Where a and b are the lengths of sides and ∠C is the angle between those sides.
<h3>Calculation:</h3>
It is given that,
The area of the sector shown in the diagram is 78.6794 cm² and the area of the triangle is 70.4956 cm².
Then to calculate the area of the shaded region, subtract the area of the sector and the area of the triangle. I.e.,
Area of the shaded region = Area of the sector - Area of the triangle
⇒ 78.6794 - 70.4956
⇒ 8.1838 cm²
Therefore, the required area of the shaded region is 8.1838 sq. cm.
Learn more about the area of a sector here:
brainly.com/question/22972014
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You didn't ask any questions, but there is enough information here to determine how hotter or colder the temperature has become from in the morning till the afternoon.
Answer:
The weather is 20 7/8 degrees hotter in the afternoon than it was in the morning.
Step-by-step explanation:
Romain notices that the temperature was -11 1/2 degrees.
This corresponds to -23/2 degrees.
In the afternoon, the temperature becomes 9 3/8 degrees, which corresponds to 75/8
This statements tells us that therm temperature has been (23/2 + 75/8) degrees hotter than it was initially.
23/2 + 75/8 = 167/8 = 20 7/8
Quadratic formula
factoring
graphing
completing the square
factoring by grouping
Rational Roots Theorem
synthetic division
Take a look at <span>5x^2 – 34x + 24 = 0. The last term could have been the result of these different possible muliplications: 1*24, 2*12, 3*8, 4*6. The leading term is 5, whose factors are 5 and 1. Thus, possible rational roots would be
4/5 (the 4 is a factor of 24 and the 5 is a factor of 5) and 6/1 (the 6 is a factor of 24 and the 1 is a factor of 5).
Using synth. div. to check whether 6 is actually a root:
___________________
6 / 5 -34 24
30 -24
------ --------------------------
5 -4 0
since the remainder is 0, we can safely call 6 a "root."
Note the remaining coefficients, 5 and -4:
They correspond to the factor 5x - 4. If we set this difference = to 0, and solve for x, we get x = 4/5 (which is correct).
The roots of </span><span>5x^2 – 34x + 24 = 0 are x = 4/5 and x= 6/1.</span>
