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3 years ago

Please help me i really really really need help please please help me please

Mathematics

1 answer:

Dafna1 [17]3 years ago

7 0

9514 1404 393

Answer:

∠4 = 100°

Step-by-step explanation:

This has nothing to do with parallel lines.

Angles 1 and 4 are "vertical angles", hence congruent.

∠1 = ∠4 = 100°

_____

Vertical angles are on opposites sides of the intersection where lines cross.

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A roped-off area of width x is created around a 30- by 10-foot rectangular museum display of Native American artifacts. The comb

Monica [59]

Answer: $4x^{2}+80x-500=0$

Step-by-step explanation:

1. You know that:

- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

$A=l*w$

Where $l$ is the lenght and $w$ is the width.

You have that the lenght and the width in feet are:

$l=30\\w=10$

3. Let's call $x$ the width of the roped-off area. Then, the combined area is:

$A_c=l_c*w_c$

Where

$A_c=800$

$l_c=l+x+x=30+2x$

$w_c=w+x+x=10+2x$

4. Substitute values and simplify. Then:

$800=(30+2x)(10+2x)$

$800=300+60x+20x+4x^{2}\\4x^{2}+80x-500=0$

5 0

4 years ago

A group of students plotted the number of hours they worked and the number of hours they spent talking to their friends on the p

deff fn [24]

The correct answer is <span>C:Greater hours worked, fewer hours spent talking on the phone.
</span>

5 0

3 years ago

Read 2 more answers

Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa

Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) : $x^2+y^2+4z^2=36$

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

$\nabla f(x,y,z)=\\\nabla f(x,y,z)=$

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

$\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)$

So, $2x=-4\lambda$

$\Rightarrow x=-2\lambda$

$2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda$

Substitute the value of x , y and z in the ellipsoid equation

$(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2$

With $\lambda = 2$

x=-2(2)=-4

y=2

z=2

With $\lambda =- 2$

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

7 0

3 years ago

Here is the question: Jamey purchased a new boat for 61014.00. She read that the value of the new boats change by -2/19 in the f

olga55 [171]

The value of Jamey's boat after the first year of purchase is <u>$54,591.47</u>.

<h3>What is a reduction in value?</h3>

The change in the value of the new boat can be described as a reduction in value, which is akin to the depreciation of the initial value.

The reduction means that the value of the boat fell after the first year of use.

The reduction or change in value and the new value after the first year can be computed as follows:

<h3>Data and Calculations:</h3>

Purchase price = $61,014

Change in value after first year = -2/19

Change in value (dollars) = $6,422.53 ($61,014 x 2/19)

Value after the first year = $54,591.47 ($61,014 - $6,422.53)

Thus, the value of Jamey's boat after the first year of purchase is <u>$54,591.47</u>.

Learn more about reduction in the value of an asset at brainly.com/question/25806993

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6 0

2 years ago

What is 1.950 as a mixed number

deff fn [24]

1.950= 1 95/100= 1 19/20

3 0

3 years ago