All categories

3 years ago

12 dogs decreased by 25%

Mathematics

1 answer:

Ivenika [448]3 years ago

7 0

12 divided by 4 = 3 is 25% of 12

12 decreased (so minus) by 25% (3)

12 - 3 = 9

9 is the result.

You might be interested in

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

$\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)$ (1)

Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

8 0

3 years ago

Penny sells knitted scarves for 12$ each. The cost of supplies to make each scarf is x dollars. How much profit will Penny make

vodomira [7]

Answer:

If I'm guessing, you're supposed to write an equation. So the answer would be yx + 12y.

Step-by-step explanation:

4 0

3 years ago

The lenght of a side of a sqeare whose perimeter is r units

suter [353]

Answer:

r/4 units

Step-by-step explanation:

each side of a square is of the same length, perimeter is the sum of the 4 length, length of a side of square = r/4 units

6 0

3 years ago

Solve. 5x – 10 <20 O (-00, 2] O (-0,2) O (-00, 6] O (-0, 6)

aleksandr82 [10.1K]

The answer I got was -∞21/5

4 0

4 years ago

You roll a fair six sided die what is payroll greater than six

Furkat [3]

Answer:

Step-by-step explanation:

A fair sided die has 1,2,3,4,5,6

There is no number greater than 6

P(number greater than 6) = numbers greater than 6/ total

=0/6

5 0

4 years ago