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Alja [10]
3 years ago
15

{6}{25} = \frac{d}{30} " alt=" \frac{6}{25} = \frac{d}{30} " align="absmiddle" class="latex-formula">
what is the value of d

​
Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

For \frac{6}{25}   = \frac{d}{30} , d = 7.2

Step-by-step explanation:

Here, the given expression is \frac{6}{25}   = \frac{d}{30}

To find the value of the variable d :

\frac{6}{25}   = \frac{d}{30}  \implies d = \frac{6}{25} \times 30

or, d = \frac{180}{25}  = \frac{36}{5 }   = 7.2

Hence, for \frac{6}{25}   = \frac{d}{30} , d = 7.2

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If Mateo converts his anxiety score into a z-score, he can both indicate how many standard deviation units his score is from the
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Step-by-step explanation:

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3 years ago
For the point P(21,19) and Q(28.24), find the distance d(P,Q) and the coordinates of the
neonofarm [45]

Answer:

1. √74; 2. (24.5, 21.5)

Step-by-step explanation:

1. Distance

You could use the distance formula to calculate the length of PQ, but I prefer a visual approach, because it requires less memorization.

Draw a horizontal line from P and a vertical line from Q until they intersect at R (28, 19).

Then you have a right triangle PQR, and you can use Pythagoras' theorem to calculate PQ.

\begin{array}{rcl}PQ^{2} & = & PR^{2} + QR^{2}\\& = & 7^{2} + 5^{2}\\ & = & 49 + 25\\& = & 74\\PQ& = & \mathbf{\sqrt{74}}\\\end{array}\\\text{d(P,Q) = $\large \boxed{\mathbf{\sqrt{74}}}$}

2. Midpoint of line

The coordinates of the midpoint are half-way between the x- and y-coordinates of the end points.

For the x-coordinate, the half-way point is

(21 + 28)/2 = 49/2 = 24.5

For the y-coordinate,  the half-way point is

(19 +24)/2 = 43/2 = 21.5

The coordinates of the midpoint M are (24.5, 21.5).

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