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Ipatiy [6.2K]
2 years ago
15

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

Mathematics
1 answer:
galina1969 [7]2 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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Michael decided to make French toast he finds a recipe that calls for the following ingredients
Paul [167]

Answer:

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Mathematics Areas and perimeters ​
sweet-ann [11.9K]

Answer:

54.5 Sq. cm

Step-by-step explanation:

<em>area of a right angled triangle = 1/ 2 × base × height </em>

(here, the base is 8 and height is 6)

= 1/ 2 × 6 × 8

= 4 × 6

<u>= 24 Sq. cm</u>

<em>area of a circle</em> = \pi r²

(r is the radius that is diameter/ 2, and the value of \pi is 3. 14)

  • r = 10/ 2 = 5 cm

= 3. 14.× (5)²

= 3.14 × 25

<u>= 78.5 Sq. cm</u>

area of the shaded region = area of Circle - area of triangle

= 78.5 - 24

<h3>= 54.5 Sq. cm</h3>

that is option 3

7 0
2 years ago
What is the nth term rule of the linear sequence below?<br><br> -5 -2 1 4 7
MAXImum [283]
3n+8 is the answer !!!!
8 0
3 years ago
Pleaze help me. i will mark brainliest
victus00 [196]

Answer:

The answer is the second one

The 6 should be 30 in step two.

Step-by-step explanation:

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3 0
2 years ago
Consider the vector field ????(x,y,z)=(5z+y)????+(4z+x)????+(4y+5x)????.
Fynjy0 [20]

Answer:

a) 5xz + xy + 4yz

b) 10

Step-by-step explanation:

a) Here F(x,y,z)=(5z+y)i+(4z+x)j+(4y+5x)k

Since the case F  =  ∇f holds, then

∇f = f_xi+f_yj+f_zk = (5z+y)i+(4z+x)j+(4y+5x)k

So, f_x = 5z + y

If we integrate f_x with respect to x, we will get an integration constant C which is also a function that depends to y and z.

Hence,

f = \int f_xdx = 5xz + xy + g(y,z)

Now we need to find g(y,z).

So first let's take the derivative of g(y,z) with respect to y.

f_y = x + g_y(y,z) = 4z + x

Hence, g_y(y,z) = 4z

So now, if we integrate g_y with respect to y to find g(y,z)

g = \int g_ydy = 4yz + C

Thus,

f = 5xz + xy + g(y,z) = 5xz + xy + 4yz + C

And since f(0,0,0)=0, then C=0

Thus,

f = f(x,y,z) = 5xz + xy + 4yz

b) By the Fundamental Theorem of Line Integrals, we know that

\int\limits^a_b F. dr = F[r(b)]-F[r(a)]

Hence,

\int\limits^a_b F. dr = F(1,1,1)-F(0,0,0) =[(5+1+4)-(0+0+0)]=10

8 0
3 years ago
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