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8_murik_8 [283]
3 years ago
10

What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the so

lution. Thank you!

Mathematics
1 answer:
wel3 years ago
6 0

Answer:

EF = 8.8 cm

Step-by-step explanation:

In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;

/hyp/^{2} = /adj1/^{2} + /adj2/^{2}

/DE/^{2} = /EF/^{2} + /DF/^{2}

/16.2/^{2} = /EF/^{2} + /13.6/^{2}

262.44 = /EF/^{2} + 184.96

/EF/^{2} = 262.44 - 184.96

          = 77.48

EF = \sqrt{77.48}

     = 8.8023

EF = 8.8 cm

The length of side EF is 8.8 cm.

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Find the coordinates of the midpoint of a segment with the given endpoints W(-12, -7), T(-8, -4)
jasenka [17]

Finding the midpoint coordinates of any segment really boils down to finding the midpoints of each individual coordinate.

The x-coordinates of the two points are -12 and -8 - the number halfway between those two is -10, so that'll be the midpoint's x-coordinate. The y-coordinates are -7 and -4 - -5.5 is halfway between these two, so the y-coordinate will be 5.5.

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3 years ago
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Edward can run 1/2 mile in 300 seconds what is edwards unit rate
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3 years ago
The question is below​
Cloud [144]

Answer:

See below.

Step-by-step explanation:

a.

The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.

b.

Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.

c.

The formula for adding n positive integers starting at 1 is:

1 + 2 + 3 + ... + n = n(n + 1)/2

For figure 55, n = 55.

n(n + 1)/2 = 55(56)/2 = 1540

d.

Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.

n(n + 1)/2 = 190

n(n + 1) = 380

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Answer: yes

e.

Use the formula above,

S = n(n + 1)/2, where S is the sum.

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n(n + 1) = 1478

38 * 39 = 1482

37 * 38 = 1406

3 0
3 years ago
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