Z=2b+6 and y=3b-1 answer please?

Answers

Answer 1

Answer: You've given us two equations and asked for an answer.

What you haven't given us is a question.

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Choose a number between 61 and 107 that is a multiple of 4,5, and 10

Answers

$4*5=20-is\ a\ multiple\ of\ 10\n\n20*4=\boxed{80}\n\n20*5=\boxed{100}$

$4|2 \n 2|2 \n 1 \n 4=2^2\n \n 5|5 \n 1 \n \n 10|2 \n 5 \ |5 \n 1 \n \n 10=2*5 \n \n \ [ 4;5;10 \ ]=2^2*5=4*5=20 \n \n 61 < M _(20) < 107 \n \n\boxed{ M_(20)= \{ 80;100 \}}$

An engineer on the ground is looking at the top of a building the angle of elevation to the top of the building is 22 degrees the engineer knows the building is 450 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?

Answers

Answer:

1114 foot

Step-by-step explanation:

Let the engineer is at a distance of x feet from the base of the building.

Please see the attached image.

In the triangle, we have

$\tan22^(\circ)=(450)/(x)$

Solving the equation for x, we get

$x=(450)/(\tan22^(\circ))\n\nx\approx1114$

Thus, the engineer is 1114 foot from the base of the building.

Hello,

tan 22°=450/d
==>d=450/tan 22°=1113.7890... ≈1114 (ft)

What is the additive inverse of the polynomial -9x2+6x2y-5x3

Answers

The additive inverse of the equation is 9x2 - 6x2y + 5x3.

Find the distance between (–3, –3) and (6, 12). Round the answer to the nearest hundredth, if necessary.

Answers

$A=(x_A;y_A)\ \ \ and\ \ \ B=(x_B;y_B)\n\n \Rightarrow\ \ \ |AB|= √((x_A-x_B)^2+(y_A-y_B)^2) \n----------------------\n\nA=(-3;-3);\ \ \ B=(6;12)\n\n|AB|= √((-3-6)^2+(-3-12)^2) =\n\n.\ \ \ \ \ \ = √(81+225) = √(306) =3 √(34) \approx17.49$

$(-3, -3), \ \ (6, 12)\n \ndistance \ formula : \n \nd =\sqrt{(x_(2)-x_(1))^2 +(y_(2)-y_(1))^2} \n \nd =√((6-(-3))^2 +(12-(-3) )^2) =√((6+3)^2 +(12+3 )^2) =√(9^2+15^2)=\n \n=√(81+225)=√(306)=√(9\cdot 34)=3√(34)=3\cdot 5.83= 17.49$

A car fits onto a golden rectangle with a length of 12 ft. What is the car's width? Write your answer in simplified radical form and rounded to the nearest tenth of a foot.

Answers

basically, it is when legnth is $(1+ √(5) )/(2)$ the width

legnth=12
legnth= $(1+ √(5) )/(2)$ times width

12= $(1+ √(5) )/(2)$ times width
multiply both sides by 2
24= $1+ √(5)$ times width
subtract 1
23=√5 times width
divide both sides by √5
23/(√5)=width
multiply by (√5)/(√5) to rationalize denomenator
$(23 √(5) )/(5)$ =width

aprox 10.28 so 10.3 ft

w= $(23 √(5) )/(5)$ ft or aprox 10.3ft

Help me set this up please ??

Answers

Hello,

45° since a tangentiel angle is the half of the angle in the center corresponding.

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