Find the area of the shaded region. Round your answer to the nearest hundredth.

Mathematics

1 answer:

Lerok [7]3 years ago

7 0

Answer:

1.44 units²

Step-by-step explanation:

The angle for the big triangle is 60°, so the smaller triangle is 30°

so to find the base of the small triangle you can do tan 30 = X/2 $\sqrt{3}$

so x is 2, which means that the base of the big triangle is 4.

The area of the big triangle is 1/2bh = 1/2(4)(2 $\sqrt{3}$ ) = 4 $\sqrt{3}$ = 6.93

Find hypotenuse (radius) using Pythagorean Theorem r = 4

The area of the piece of pie is $\pi r^{2} *60/360$ = 8.37

8.37 - 6.93 = 1.44

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Consider the sequence 8, 14, 20, 26, . . .. (a) What is the next term in the sequence? 2.2 Exercises 98 (b) Find a formula for t

omeli [17]

Answer:

Step-by-step explanation:

Each term of the given arithmetic sequence is 6 more than the previous one. Thus, the next term is 26+6, or 32.

a(n) = 8 + 6(n-1)

3 0

3 years ago

What is the surface area of the rectangular prism below?

Andrew [12]

Answer:

B ( 432 units^2)

Step-by-step explanation:

Total surface area= 2*(6*6)+ 4*(15*6)

There are 2 squares at each end of the same size so total area will be 2*(6*6)

If we look at the rectangles( bottom, top and the sides), we can see that all are of same dimensions and there are 4 of them so it's 4*(15*6)

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3 years ago

Find the difference. express your answer in simplest form. (2s/s^2-4s+4) - (4/s^2-4s+4)

LUCKY_DIMON [66]

To find the difference, we are going to destroy the parenthesis first, and then, we are going to perform the operations. Remember that to destroy a parenthesis preceded by a negative sign (-), you should change the signs of the factors inside the parenthesis:
$\frac{2s}{s^2-4s+4} -( \frac{4}{s^2-4s+4} )$
$\frac{2s}{s^2-4s+4} -\frac{4}{s^2-4s+4}= \frac{2s-4}{s^2-4s+4}$

Now we can factor both numerator and denominator and simplify:
$\frac{2s-4}{s^2-4s+4} = \frac{2(s-2)}{(s-2)^2} = \frac{2}{s-2}$

We can conclude that the difference in simplest form is: $\frac{2}{s-2}$