Answer:
b= 70
Step-by-step explanation:
The sum of the opposite interior angles of a triangle is equal to exterior angle.
a+b = 140
We know that a = b since PQ = RQ The angles opposite the equal sides in an isosceles triangle are equal
b+b = 140
2b =140
Divide by 2
2b/2 =140/2
b= 70
Bottom Side Surface Area:
(24 inches + 24 inches + 24 inches) * (30 inches)
= 72 inches * 30 inches
= 2160 inches squared
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Top Side Surface Area:
24 inches * 30 inches
= 720 inches squared
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Length of the diagonal (D) which needs to be measured:
*Use Pythaogras's theorem...
24^2 + 10^2 = D^2
D=√(24^2+10^2)
D=26 inches
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Measure the surface area of the two ramps:
26 inches * 30 inches * 2
= 1560 inches squared
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Total surface area:
2160 inches squared + 720 inches squared + 1560 inches squared
= 4440 inches squared
---------
Answer:
4440 square inches
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
The total sale of the bedding set including 5% sale tax is $69.66
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Discount = 20% of 86 = 0.2 * 86 = 17.2
Selling price of bed = 5% of 17.2 = 0.05 * 17.2 = 0.86
Total sale = 86 - 17.2 + 0.86 = 69.66
The total sale of the bedding set including 5% sale tax is $69.66
Find out more on equation at: brainly.com/question/2972832
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