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Maria louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first shape has 9 vertices, the second shape has 13 vertices, and the third shape has 17 vertices.
If maria louisa assumes that the number of vertices in the sequence of the shapes follows the same pattern, how many vertices would she expect the 24 shape to have?

A)87
B)97
C)101
D)105
E)109

Answer:

i think its 3

Step-by-step explanation:

21/7=3

The second figure OA' divided by first figure OA = 21/7=3

Answer:

a + b + c= 90

30+30+30=90

90=90.

30 is the ans

Answer:

Step-by-step explanation:

50 degree

Answer:

x = 2

Step-by-step explanation:

7x + 3 = 2x + 13

Get all the x on the same side: 7x - 2x = 13 - 3

Subtract: 5x = 10

Divide both sides by 5 to get x = 2.

Plug the found value of x back in to check the answer: 7(2) + 3 = 2(2) + 13

Multiply: 14 + 3 = 4 + 13

Add: 17 = 17

This verifies that x = 2.

Step-by-step explanation:

[tex]7x+3=2x+13\\7x-2x=13-3\\5x=10\\x=2[/tex]

Answer:

11

3

-3

-12

Step-by-step explanation:

Answer:

1) 11

2) 3

3) -3

4) -12

Answer:

42 ft²

Step-by-step explanation:

First of all, who makes a hole in this shape?

Anyways,

You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.

We can find the area of the triangle easily with the equation 1/2(bh)

So

1/2(2 · 3)

1/2(6)

3

So the triangle is 3 ft²

Now we can find the area of the rectangle.

The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²

Finally the trapezoid.

Base 1: 6

Base 2: 3

Height: 4            (11-7)

Formula: 1/2h (b1 + b2)

1/2 · 4 (6+3)

2(9)

18 ft²

Now just add them together:

3+21+18=42

Hence, your answer is 42 ft²

Answer:

Please refer to the attached image.

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

Answer:

$14,616

Step-by-step explanation:

The computation of the sales price is shown below:

The regular price is $1,827

And it would be advertised having 8 nights of the regular price so here we assume that the sales price is 8 times of the regular price

so, the sales price is

= $1,827 × 8

= $14,616

Answer:

x=70+50

x=120

tell me if u need explanations or steps

Answer: 4

Step-by-step explanation:

If the foot-long sandwhich is 4 feet long, and is cut into parts that are each 1 foot long, then we need to divide 4 by 1.

4 ÷ 1 = 4, so there will be 4 servings after the sandwich is cut.

Answer:

I believe it would be y-3=23x-2

Answer:

9i

Step-by-step explanation

answer:

153.94cm²

Step-by-step explanation:

<3

Answer:

B.

Step-by-step explanation:

Only  0.00149, 0.0104, 0.0108, 0.0118, 0.013 are in ascending order.

Answer:

an american football field measures 100 yards long between the endzones,and is 53 1/3 yards wide.is the length of the diagonal across this field more or less than 120 yards . what is the value rounded to the nearest tenth of a yard

Step-by-step explanation:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

Answer:

52°

Step-by-step explanation:

Let the measure of the third angle be x°.

Since, straight line is broken into three angles. So, the sum of all the three angles will be equal to 180°.

38° + 90° + x = 180°

128° + x = 180°

x = 180° - 128°

x = 52°

Answer:

52°

Step-by-step explanation:

So, we basically know that,

A straight Angle=180°

When it has been broken into 3 pieces, we have gotten one which is 38°and a right angle.

Now , we know that

A right angle= 90°

So, we need to do,

Sum of known angles= 38+90=128°

Lastly,

Unknown angle = 180° - 128° = 52°

Answer:

288,000

Step-by-step explanation:

You find 4% of 200,000 which is 8,000. Then you multiply 8,000 by 11 and then add it to 200,000.

Answer:

D I believe

Step-by-step explanation:

if it's going by negative values and positive values then -6 is the lowest and 9 is the highest

Answer:

D

Step-by-step explanation:

Least to greatest means from smallest to largest in simple terms.

So, -6, -4, -2, 2, 5, 9

Answer:

what do u need my guy 0899

Answer:

The mean is 82.727272727273 rounded 83

Step-by-step explanation:

You add all the numbers:

40 + 75 + 80 + 80+ 81 + 84 + 88 + 90 + 92 + 100 + 100= 910

You divide that result by the total of numbers to add, in this case 11

910/11= 82.727272727273

To round any number, consider that if it is 5 or above it you can round it to the nearest hundred.

Just in case

MODE: 100, 80

MEDIAN: 84

Answer:

A and B

Step-by-step explanation:

54 , 89

Answer:

y=2x+1

Step-by-step explanation:

Answer:

I don't know, sorry sweetie

Step-by-step explanation:

You do the work yourself x

Answer:

180-120+x-5+x+5=180

60+2x=180

2x=120

x=60