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3 years ago

£823.89 divided by 18

Mathematics

1 answer:

Reil [10]3 years ago

6 0

45.7716
6 is recurring

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Help! 10 Points not 5!

KATRIN_1 [288]

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Answer:

Step-by-step explanation:

Solve the first for a, then substitute into the second.

a = 27/(5b^2)

Then ...

(27/(5b^2))^2·b = 135

27^2/(5^2·135) = b^3 = 27/125

b = ∛(27/125) = 3/5

a = 27/(5(3/5)^2) = 15

The expression of interest is ...

a +5b = 15 + 5(3/5) = 15 +3

a +5b = 18

6 0

3 years ago

The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi

Andru [333]

we can use formula

$\theta=tan^{-1}(\frac{a_y}{a_x})$

(a)

we are given

$a_x=12,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{12})$

$\theta=tan^{-1}(1)$

$\theta=\frac{\pi}{4}rad$

(b)

we are given

$a_x=20,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{20})$

$\theta=tan^{-1}(\frac{3}{5})$

$\theta=30.96^{\circ \:}$

(c)

we are given

$a_x=12,a_y=20$

now, we can plug values

$\theta=tan^{-1}(\frac{20}{12})$

$\theta=tan^{-1}(\frac{5}{3})$

$\theta=59.03^{\circ \:}$

6 0

3 years ago

Abel and Cedric will share a total of $180. Abel will receive half as much as Cedric. What amount. in dollars, will Cedric recei

babymother [125]

Answer:

Abel receives $60, and Cedric receives $120

Step-by-step explanation:

Let Abel's share = A

Let Cedric's share = C

we are given the following

A + C = 180 - - - - - (1) (Abel and Cedric will share a total of $180)

$A = \frac{C}{2}\ - - - - - - - (2)$ (Abel will receive half as much as Cedric. )

from equation 2:

$A = \frac{C}{2}\\ C = 2A\ - - - - - - (3)$

putting this value of C in eqn (3) into eqn (1)

A + (2A) = 180

3A = 180

∴ A = 180 ÷ 3 = 60

to find C, let us replace the value of A in eqn (3) with 60

C = 2A - - - - (3)

C = 2 × 60

C = 120

Therefore, Abel receives $60, and Cedric receives $120

5 0

3 years ago

PLEASE HELP!!!!! DUE TODAY!!!

Akimi4 [234]

Answer:

Step-by-step explanation:

Rental = $40

Catering = $12 per person

Budget = $100

Amount left after paying for the rental

= 100 - 40

= $60

Maximum number of guests

= 60 ÷ 12

= 5

5 0

3 years ago

What is the value of x?

Helen [10]

if the original value of x was negative then X the opposite sign version of X would have to be positive Princeton's if I start with x equals -3 then x equals -3 equals + 3 which is positive

8 0

3 years ago