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1 month ago

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A person is to install five devices each 6 7/8 inches wide with 3 1/2 inches between switches. How much space will be needed to

mount these switches?

1 answer:

Svet_ta [12.7K]1 month ago

4 0

D = 48.375 in or 48 3/8 in. The conclusion is 48 3/8 inches or 48.375 inches.

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A land surveyor places two stakes 500 ft apart and creates a perpendicular to the line that connects these two stakes. He needs

Svet_ta [12734]

Answer:
We will select the final option as the correct one.
Step-by-step explanation:
A land surveyor positions two stakes 500 ft apart and identifies the midpoint between them.
From that midpoint, he is tasked with placing another stake 100 ft away, maintaining equal distance to the two original stakes.
To utilize the Perpendicular Bisector Theorem, the land surveyor must identify a line that is "perpendicular to the segment connecting the two stakes and passes through the midpoint of those stakes."
Thus, we will choose the last option as the correct answer.

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3 months ago

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Martin has 5/6 of a pizza. Liam has 4 times as much pizza as Martin

lawyer [12517]

Answer:

The distance equals 816 km.

Step-by-step explanation:

5/6 multiplied by 4/1 equals 20/6.

Dividing 20/6 by 2 results in 3 1/3.

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2 months ago

Find the missing endpoint if s is the midpoint of rt r(-9,4) and s(2,-1) ; find T

AnnZ [12381]

Answer: The coordinates of point T are (13, -6).

Step-by-step explanation: Given that point S is the midpoint of segment RT, with coordinates R(-9, 4) and S(2, -1),

we need to determine the coordinates of point T.

The midpoint formula states that the midpoint between points (a, b) and (c, d) is ((a + c)/2, (b + d)/2).

Let T be (h, k). According to the problem:

$\left(\dfrac{-9+h}{2},\dfrac{4+k}{2}\right)=(2,-1)\\\\\\\Rightarrow \dfrac{-9+h}{2}=2\\\\\Rightarrow -9+h=4\\\\\Rightarrow h=4+9\\\\\Rightarrow h=13$

$\dfrac{4+k}{2}=-1\\\\\Rightarrow 4+k=-2\\\\\Rightarrow k=-2-4\\\\\Rightarrow k=-6.$

Solving these equations yields T at (13, -6).

So, the required coordinates for point T are (13, -6).

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3 months ago

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Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2

Inessa [12570]

Answer:

box 1: monomial

box 2: binomial

Step-by-step explanation:

rationale: The volume of Box 1 is represented by a monomial multiplied by another monomial, resulting in a monomial.

Conversely, the volume of Box 2 is represented by a monomial multiplied by a binomial, producing a binomial.

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2 months ago

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Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d =

AnnZ [12381]

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

$y=5-2t=5-x\implies x+y=5=4+1=4+z-t=4+z-\frac{1}{2}x$

$\implies 3x+2y-2z-8=0\hfill (1)$

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

$\frac{al+bm+cn}{\sqrt{l62+m^2+n^2}}=\frac{(3\times 0)+(2\times 1)+(-2)(1)}{\sqrt{3^2+2^2+(-2)^2}}=\frac{0+2-2}{\sqrt{17}}=0$

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

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2 months ago