3, 11, 19, 27, 35...
a = 3
d = 11-3 = 8
a20 = a + 19d = 3 + 19*8 = 3 + 132 = 135
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Answer:
An obtuse triangle is a triangle that has a single obtuse angle, which is an angle that measures more than 90 degrees and less than 180 degrees. Obtuse triangles, also referred to as oblique triangles, can be recognized by their having a single significantly larger angle and two smaller angles. Since every triangle has a measurement of 180 degrees, a triangle can only have one obtuse angle. You can calculate an obtuse triangle using the lengths of the triangle's sides.
Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together. For example, if the lengths of the sides measure 3 and 2, then squaring them would result in 9 and 4. Adding the squares together results in 13.
Square the length of the side opposite the obtuse angle. For the example, if the length is 4, then squaring it results in 16.
Step-by-step explanation:
The expression that completes the function b(x) is b(x) = 33741 * (1.028)^x
<h3>How to determine the expression of b(x)?</h3>
The given parameters are:
Initial value, a = 33741
Rate, r = 2.8%
The cost of tuition each year since 2015 is represented as
B(x) = a * (1 + r)^x
This gives
B(x) = 33741 * (1 + 2.8%)^x
Evaluate
b(x) = 33741 * (1.028)^x
Hence, the expression that completes the function b(x) is b(x) = 33741 * (1.028)^x
Read more about exponential functions at:
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<u>Complete question</u>
A study estimates that the cost of tuition at a university will increase by 2.8% each year. The cost of tuition at the University in 2015 was $33,741 the function b(x) , models the estimated tuition cost , where x is the number of years since 2015.
Find the expression that completes the function b(x)
The answer is 5000 ft
His displacement is actually the hypotenuse (c) of the triangle with sides 6 blocks and 8 blocks.
According to the Pythagorean theoreme:
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10 blocks
Since 1 block is 500ft long, then 10 blocks are 5000 ft long:
1 : 500ft = 10 : x
x = 10 * 500ft / 1 = 5000 ft
Answer:
f(10)=-217
Step-by-step explanation:
F(10)=-2*10^2 + 17= -2*100+17= -200+17=-217
