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3 years ago

8

Solve for x.* (4x + 7)° (6x + 3)° Sign

1 answer:

Whitepunk [10]3 years ago

3 0

24 x ^2 + 54 x + 21,

if you would like me to explain how to do it, I can in the comments.

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Rosita is designing a quilt for her bed. She will use 5/8 of the quilt pieces for the background. What percentage of the quilt w

rodikova [14]

5/8 = 0.625
To turn a decimal into a fraction, move the decimal point two spaces to the right.

0.625 = 62.5%

62.5% of the pieces are used for the background

7 0

2 years ago

Max lost 23 pounds while on a diet. He

san4es73 [151]

184+23=w
207=w
That’s the answer 207

3 0

2 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

You fill a 100 mL graduated cylinder with 38.5 mL of water. What is the volume?

larisa [96]

Answer:

38.5cm³

Step-by-step explanation:

1ml = 1cm³

38.5ml = 38.5cm³

7 0

2 years ago

Please help with this question!

Nostrana [21]

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a ) Two matrices cannot be multiplied.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

b )

The answer is | 20 - 4 - 12 |

| 8 2 19 - |

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

7 0

2 years ago