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3 years ago

Name the quadrant in which sinθ < 0 and cosθ > 0. I II III IV

Mathematics

1 answer:

qaws [65]3 years ago

6 0

Quadrant IV
at quadrant IV, sinA is negative value while cosA is positive value

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£440 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as H

Lesechka [4]

Mark received £ 132

Solution:

Given that £440 is divided between David, Mark & Henry

Let "d" be the share of david

Let "m" be the share of mark

Let "h" be the share of henry

Total amount is 440

Therefore,

share of david + share of mark + share of henry = 440

d + m + h = 440 ------- eqn 1

David gets twice as much as Mark

d = 2m ----- eqn 2

Mark gets three times as much as Henry

m = 3h

$h = \frac{m}{3}$ ------ eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

$2m + m + \frac{m}{3} = 440\\\\\frac{6m + 3m + m}{3} = 440\\\\10m = 1320\\\\m = 132$

Thus Mark received £ 132

8 0

3 years ago

An object is acted upon by the forces F1=<10,6,4> and F2=<0,3,9>. Find the force F3 that must act on the object

murzikaleks [220]

$\vec F_3=\langle x,y,z\rangle$ is a force vector such that

$\vec F_1+\vec F_2+\vec F_3=\vec0$

$\implies\langle10,6,4\rangle+\langle0,3,9\rangle+\langle x,y,z\rangle=\langle0,0,0\rangle$

$\implies\begin{cases}10+x=0\\9+y=0\\13+z=0\end{cases}\implies x=-10,y=-9,z=-13$

So the missing force is

$\boxed{\vec F_3=\langle-10,-9,-13\rangle}$

8 0

3 years ago

CHECK YOUR KNOWLEDGE

PIT_PIT [208]

1. A rent paid
2. B 10

5 0

3 years ago

PLZ HELP TROLL ANSWERS GET REPORTED MAKE IT UNDERSTANDABLE Match each expression to its value.

lbvjy [14]

Answer:

7-5 => 2
-7+5 => -2
-7-5 => -12
7-(-5) => 12

Step-by-step explanation:

Lets solve the expressions one by one

1. 7-5

we can see that it is simple subtraction. A smaller number is being subtracted from a large number.

So the answer is 2

2. -7+5

There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.

In this case, 7 is larger and has negative sign, the answer will be -2

3. -7-5

When there are two numbers with minus sign they are added but the answer has the minus sign with it.

So the answer will be: -12

4. 7-(-5)

When minus is multiplied with minus it converts to positive

$= 7-(-5) = 7+5 = 12$

Hence,

7-5 => 2
-7+5 => -2
-7-5 => -12
7-(-5) => 12

3 0

3 years ago

Doris takes a survey of her class and finds that 2 of the 20 students in class are left-handed.

djyliett [7]

Hey there, Alex!

She would expect 55 of them to be left handed.

Work: 550 / 20 = 27.5

27.5 x 2 = 55

Hope I was able to help!

6 0

3 years ago