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1 year ago

PLS HELP!!!

Mathematics

1 answer:

stira [4]1 year ago

8 0

Answer: Option 4

Step-by-step explanation:

$\mathbf{u}=\langle 70 \cos 230^{\circ}, 70 \sin 230^{\circ} \rangle\\\\\mathbf{v}=\langle 60\cos 140^{\circ}, 60 \sin 140^{\circ} \rangle\\\\\mathbf{w}=\langle 80 \cos 30^{\circ}, 80 \sin 30^{\circ} \rangle\\\\\\\therefore \mathbf{u}+\mathbf{v}+\mathbf{w}=\langle 70 \cos 230^{\circ}+60 \cos 140^{\circ}+80 \cos 30^{\circ}, 70 \sin 230^{\circ}+60 \sin 140^{\circ}+80 \sin 30^{\circ} \rangle\\\\ \approx \langle -21.675, 24.944 \rangle$

$\implies |\mathbf{u}+\mathbf{v}+\mathbf{w}| \approx \sqrt{(-21.675)^2 + (24.944)^2} \approx 33.046$

Direction: The vector is in the second quadrant, so the direction is about $180^{\circ}-\arctan \left(\frac{24.944}{-21.675} \right) \approx 131^{\circ}$

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Meryl needs to cut down 10.5 trees for every 5 cabins she builds. how many trees would she need to build 7 cabins

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Answer:

<h2>14.7 Trees</h2>

Step-by-step explanation:

We solve this using a proportion.

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4 years ago

The monthly utility bills in a city have a mean of $70 and a standard deviation of $8. Find the s-scores that correspond to util

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3 years ago

Read 2 more answers

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zimovet [89]

Answer:

1. $x=18, y=6\sqrt{10}$

2. x=108, y=180

Step-by-step explanation:

The height of the right triangle drawn to the hypotenuse is the geometric mean of two segments of the hypotenuse (two legs' projections)

1. Use this property, so

$CD^2=AD\cdot BD\\ \\6^2=2\cdot x\\ \\36=2x\\ \\x=18$

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$BC^2=BD^2+CD^2\\ \\y^2=18^2+6^2\\ \\y^2=324+36\\ \\y^2=360\\ \\y=\sqrt{360}=6\sqrt{10}$

2. Consider right triangleGM*. By the Pythagorean theorem,

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Use this property to find x:

$GM^2=192\cdot x\\ \\144^2=192\cdot x\\ \\x=\dfrac{144^2}{192}=108$

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4 years ago

NO LINKS!!! PLS HELP ME IM TRYING TO GRADUATE PLSSS !!! Find the midpoint of the segment below and enter its coordinates as an

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Answer:

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Step-by-step explanation:

r's your solution

=> formula for finding midpoint =.( X1 + X2/)/2 , (Y1+Y2)/2

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=> x= 4+1/2 , y = -1-6/2

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3 years ago

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nexus9112 [7]

Answer:

H0: μ ≥ 16

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Step-by-step explanation:

Given the data:

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Using calculator,

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The test statistic, T

(m - μ) / s/sqrt(n)

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3 years ago