Answer: the answer is A i took the testssssssssssssssssssssssssss
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Step-by-step explanation:
Answer:
1. -2 = x
2. 19 = x
3. -22 = b
4. 30 = y
5. -5 = t
Step-by-step explanation:
1. -3x = 6 [-1 to the right side of the equivalence symbol]
2. 5x = 95 [23 to the right side of the equivalence symbol]
3. ᵇ/₂ = -11 [23 to the left side of the equivalence symbol]
4. ⅓y = 10 [7 to the right side of the equivalence symbol]
5. -2t = 10 [13 to the right side of the equivalence symbol]
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Answer:
60
Step-by-step explanation:
60÷3 = 20
60÷4=15
60÷5=12
Answer:
Blank 1: y=3x+10
Blank 2: y= 40
Step-by-step explanation:
Let the cost of gift wrap be y and the number of gifts be x.
<u>Department</u>
An upfront fee of $10 means that Mr Bentley needs to pay $10 first, and this $10 is only paid once on top of the cost of wrapping each gift.
y= 3x +10
<u>Niece</u>
A flat fee of $40 means that no matter how many gifts the niece wraps, Mr Bentley only pays $40.
y= 40
To find out when the two plans cost the same, equate the two equations together. Then, solve for x.
3x +10= 40
3x= 40 -10 <em>(</em><em>-10</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
3x= 30
x= 30 ÷3
x= 10
Thus when Mr Bentley has 10 gifts to be wrapped, the 2 plans costs the same.
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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