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alukav5142 [94]

3 years ago

9

Each student at State College has a student ID number consisting of four digits followed by three of the letters A, B, C, D, and

E(letters may not be repeated). How many different student numbers are possible?

1 answer:

yarga [219]3 years ago

3 0

The Many different student numbers are five

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Last month, customers at a gift shop bought 40 birthday cards,

Iteru [2.4K]

Answer:

32 People

Step-by-step explanation:

I put 40 (Number of birthday cards bought previously) over 125 (Number of expected costumers) and multiplied it by 100 (Total number of card bought previously) to get my answer. Hopefully that helps :)

7 0

3 years ago

The perimeter of a triangle is 140 cm the length of the second side is twice the length of the first side the length of the thir

kykrilka [37]

Perimeter = 140

Side 1 = x

Side 2 = 2x

Side 3 = 3x - 10

x + 2x + 3x - 10 = 140

6x - 10 = 140

6x = 150

x = 25

Side 1 = 25 cm

Side 2 = 50 cm

Side 3 = 65 cm

Hope this helps!! :)

6 0

3 years ago

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I'll give u full brainlist if u do this!

alex41 [277]

Answer:

a. 54.75

b. 2.64

Step-by-step explanation:

6 0

3 years ago

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

2 years ago

What is 50 x 79 x 27 + 69

vova2212 [387]

106,719

Answer:

$50 \times 79 \times 27 + 69 \\ \\ = 106,650 + 69 \\ \\ = 106,719$

8 0

3 years ago

Read 2 more answers