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3 years ago

9

Lee is creating a garden with the dimensions shown. He creates paths through the garden along , , and . Which correctly compares

the lengths of the paths?

1 answer:

White raven [17]3 years ago

3 0

Answer:

I can't help you with out knowing the dimensions can you please tell me them

Step-by-step explanation:

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Two vectors A⃗ and B⃗ are at right angles to each other. The magnitude of A⃗ is 5.00. What should be the length of B⃗ so that th

creativ13 [48]

Answer:

Length of B is 7.4833

Step-by-step explanation:

The vector sum of A and B vectors in 2D is

$C=A+B=(a_1+b_1,a_2+b_2)$

And its magnitude is:

$C=\sqrt{(a_1+b_1)^2+(a_2+b_2)^2} =9$

Where

$a_1=Asinx$

$a_2=Acosx$

$b_1=Bsin(x+90)$

$b_2=Bcos(x+90)$

Using the properties of the sum of two angles in the sin and cosine:

$b_1=Bsin(x+90)=B(sinx*cos90+sin90*cosx)=Bcosx$

$b_2=Bcos(x+90)=B(cosx*cos90-sinx*sin90)=-Bsinx$

Sustituying in the magnitud of the sum

$C=\sqrt{(Asinx+Bcosx)^2+(Acosx-Bsinx)^2} =9$

$C=\sqrt{A^2sin^2x+2ABsinxcosx+B^2cos^2x+A^2cos^2x-2ABsinxcosx+B^2sin^2x} =9$

$C=\sqrt{A^2(sin^2x+cos^2x)+B^2(cos^2x+sin^2x)}$

$C=\sqrt{A^2+B^2} =9$

Solving for B

$A^2+B^2 =9^2$

$B^2 =9^2-A^2$

Sustituying the value of the magnitud of A

$B^2=81-5^2=81-25=56$

$B= 7. 4833$

8 0

3 years ago

What fraction would you add to 29/6 to make 4

Zigmanuir [339]

Keeping in mind that 29/6 is greater than 4, is actually 4 and 5/6, so the amount we'll "add" will be a negative one.

$\bf \cfrac{29}{6}+x=4\implies x=4-\cfrac{29}{6}\implies x=\cfrac{4}{1}-\cfrac{29}{6}\implies x=\cfrac{(6)4-(1)29}{6}
\\\\\\
x=\cfrac{24-29}{6}\implies x=\cfrac{-5}{6}\\\\
-------------------------------\\\\
\cfrac{29}{6}+\left( -\cfrac{5}{6} \right)=4$

8 0

3 years ago

19/2 - 11/2 as an improper fraction

rjkz [21]

Answer:9 1/2 and 5 1/2

I hope that’s what your looking for

8 0

2 years ago

Please help. I only need parts a and b.

Alex

Answer:

oI know that for a they are pretty much the same shape im not sure how else to desribe it sorry

Step-by-step explanation:

7 0

2 years ago

Solve the system of linear equations by substitution.<br> y=-2+4x<br> y=4+6x

r-ruslan [8.4K]

Answer:

x = -3

y = -14

Step-by-step explanation:

4 + 6x = -2 + 4x

6x - 4x = -2 - 4

2x = -6

x = -3

y = -2 + 4(-3)

y = -14

y = 4 + 6(-3)

y = -14

7 0

2 years ago