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Ipatiy [6.2K]
3 years ago
15

How to do this question plz answer me step by step plzz ​

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Answer:

No

Step-by-step explanation:

Diameter= 180cm

Circumference of each table

= πD

= 180π cm

Each table can fit

= 180π ÷70

= 8 guests (nearest whole number)

Since there are 18 tables, total number of guests

= 8(18)

= 144 guests

Since there are only enough tables to sit 144 guests, there are not enough tables to fit 145 guests.

Note that we cannot take the sum of the circumference for 18 tables than divide by 70 to see how many guests can fit because a guest can only be sitted on one table.

If that was done,

Total circumference

= 180π(18)

= 10179 cm (5 s.f.)

Total number of people

= 10179 ÷70

= 145 people (3 s.f.)

This is incorrect.

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A (0, 2) and B (6,6) are points on the straight line ABCD.
elena-14-01-66 [18.8K]

Answer:

(18, 14)

Step-by-step explanation:

We know that C and D lie on the line AB and BC = CD = AB. Then we need to use the distance formula and equation of the line AB to find the other two coordinates.

The distance formula states that the distance between two points (x_1,y_1) and (x_2,y_2), the distance is denoted by: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}. Let's find the distance between A and B:

d = \sqrt{(6-0)^2+(6-2)^2}=\sqrt{6^2+4^2} =\sqrt{36+16} =\sqrt{52} =2\sqrt{13}

Now say the coordinates of D are (a, b). Then the distance between D and B will be twice of 2√13, which is 4√13:

4√13 = \sqrt{(6-a)^2+(6-b)^2}

Square both sides:

208 = (6 - a)² + (6 - b)²

Let's also find the equation of the line AB. The y-intercept we know is 2, so in y = mx + b, b = 2. The slope is (6 - 2) / (6 - 0) = 4/6 = 2/3. So the equation of the line is: y = (2/3)x + 2. Since (a, b) lines on this line, we can put in a for x and b for y: b = (2/3)a + 2. Substitute this expression in for b in the previous equation:

208 = (6 - a)² + (6 - b)²

208 = (6 - a)² + (6 - (2/3a + 2))² = (6 - a)² + (-2/3a + 4)²

208 = a² - 12a + 36 + 4/9a² - 16/3a + 16 = 13/9a² - 52/3a + 52

0 = 13/9a² - 52/3a - 156

13a² - 156a - 1404 = 0

a² - 12a - 108 = 0

(a + 6)(a - 18) = 0

a = -6 or a = 18

We know a can't be negative so a = 18. Plug this back in to find b:

b = 2/3a + 2 = (2/3) * 18 + 2 = 12 + 2 = 14

So point D has coordinates (18, 14).

8 0
3 years ago
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What is the building in your city that has the most memories?
NeX [460]

town hall is the building in my city with the most memories

6 0
3 years ago
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Use synthetic division to determine if x+2 is a factor of f(x)=5x2+13x+6
Karolina [17]

Answer:

x+2 is a factor of f(x)  = 5x^2 + 13x + 6

Step-by-step explanation:

To check: If (x+2) is a a factor of the polynomial f(x)  = 5x^2 + 13x + 6

We need to check if x  = -2 is the FACTOR of the given polynomial.

⇒ To show:  f (-2)  =  0

Now

f(-2)  = 5(-2)^2 + 13(-2) + 6\\=5(4) -26 + 6\\= 20 + 6 - 26\\= 26 - 26  = 0\\\implies f(-2) = 0

Since, f(-2) = 0

⇒  -2 is the ROOT of the Polynomial f(x).

⇒(x +2) is the factor of the given polynomial.

Hence, x+2 is a factor of f(x)  = 5x^2 + 13x + 6

4 0
3 years ago
The inchworm moves 1/5 inch per hour. How far will the inchworm have moved after 6 hours?
melisa1 [442]

Answer: 1 1/5 inches.

Step-by-step explanation:

1/5 * 6

1/5 * 6/1

6/5 = 1 1/5

5 0
2 years ago
Please help me my brain is so fried rn.
stiv31 [10]
My brain is too whyyy
8 0
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