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bearhunter [10]
3 years ago
9

The area of the shaded region​

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

37.7

Step-by-step explanation:

Large circle = \pir² = \pi5² = 78.54

Medium circle = \pi3²= 28.27

Small circle = \pi2²= 12.57

78.54-28.27-12.57 = 37.7

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What is a35 for the arithmetic sequence presented in the table below?
Kryger [21]

Answer: choice B) a35 = -118

=====================================================

Explanation:

When n = 5, an = 32 as shown in the first column of the table. This means the fifth term is 32. Plug in those values to get

an = a1+d(n-1)

32 = a1+d(5-1)

32 = a1+4d

Solve for a1 by subtracting 4d from both sides

a1 = 32-4d

We'll plug this in later

Turn to the second column of the table. We have n = 10 and an = 7. Plug those values into the formula

an = a1+d(n-1)

7 = a1 + d(10-1)

7 = a1+9d

Now substitute in the equation in which we solved for a1

7 = a1+9d

7 = 32-4d+9d ... replace a1 with 32-4d

7 = 32+5d

5d = 7-32

5d = -25

d = -25/5

d = -5

This tells us that we subtract 5 from each term to get the next term.

Use this d value to find a1

a1 = 32-4d

a1 = 32-4*(-5)

a1 = 32+20

a1 = 52

The first term is 52

--------------

The nth term formula is therefore

an = 52 + (-5)(n-1)

which simplifies to

an = -5n + 57

To check this result, plug in n = 5 to find that a5 = 32. Similarly, you'll find that a10 = 7 after plugging in n = 10. I'll let you do these checks.

--------------

Replace n with 35 to find the 35th term

an = -5n + 57

a35 = -5(35) + 57

a35 = -175 + 57

a35 = -118

7 0
3 years ago
Please help me I will mark brainliest. I’m just double checking to make sure I got it correct
ycow [4]

Answer:

the length of c is 18.43909

Step-by-step explanation:

pythagorean therorem

3 0
2 years ago
If angle ABC is one degree less than three times angle ABD and angle DBC=47 find each measure
Contact [7]

It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.

Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC

⇒ Angle ABC = Angle ABD + Angle DBC

Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree

Let angle ABD be x

⇒ Angle ABC = 3x-1

Also, Angle ABC = Angle ABD + Angle DBC

Substituting the values in the above equations

⇒ 3x-1 = x+47

⇒ 2x = 48

⇒ x = 24

So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree

8 0
3 years ago
"18 less than a number"
Dmitriy789 [7]

Answer:

18 is 1 and 8 put togother.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
LuckyWell [14K]
The decimal approximations are:

The square root of 5 is about 2.2
The square root of 8 is about 2.8
pi is about 3.14
2 square roots of 5 are about 4.4

The numbers are also placed in order from least to greatest.
8 0
3 years ago
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