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3 years ago

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I WILL MARK U BRAINLYNEST

1 answer:

stiv31 [10]3 years ago

5 0

Answer:

<h3>Step-by-step explanation:</h3>

A)answer: A cross section is the two-dimensional shape that results from cutting a three-dimensional with a plane.

B)answer: A cross section is the face you obtain by making a "slice" through a solid object. A cross section is two-dimensional. ... When a plane intersects a solid figure, the cross sectional face may be a point, a line segment, or a two-dimensional shape such as, but not limited to, a circle, rectangle, oval, or hexagon.

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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

if a sprinkler waters 1/14 of a lawn in 1/2 an hour, how much time it will take to water the entire lawn

arlik [135]

1/14 in 30 mins
30 mins x 14=420 mins
420 mins in hours =7 hours

3 0

3 years ago

You play a game that involves spinning a wheel. Each section of the wheel shown has the same area. Use a sample space to determi

Anastasy [175]

Answer:

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3 years ago

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The coordinates of the vertices of △PQR are P (0, 1), Q (0, 0),

torisob [31]

Step-by-step explanation:

step 1. P(0, 1) -> P'(0, -1)

step 2. Q(0, 0) -> Q'(0, 0)

step 3. R(-2, 0) -> R'(2, 0)

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3 years ago

I need help with this one

Anika [276]

Answer:

B

Step-by-step explanation:

if you look closely, you can see that the side of it goes up 2, then 2, then 1.

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3 years ago

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