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3 years ago

5

Can someone help me this is due today

1 answer:

11111nata11111 [884]3 years ago

6 0

Answer:

13 miles

Step-by-step explanation:

It tells us that her house is 5 miles from the Post Office. So we know that each unit on the grid is 1 mile. Lucy walks from her house to the post office to the bank. The shortest path is the hypotenuse of the right triangle. We have one side length. Now, we count the post office to bank's length. It is 12 miles. The Pythagorean theroem is a^2+b^2=c^2 so 5^2+12^2=c^2 Solving this, we get c=13. The shortest path is 13 miles.

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A rectangular piece of plywood has a diagonal that measures three times the width. The length of the plywood is three feet more

Karolina [17]

Answer:

The length of diagonal is 4.922 feet.

Step-by-step explanation:

Let the width be = w

Let the diagonal be = d

Let the length be = l

Given is that the diagonal measures three times the width, this gives: $d=3w$

Also given is the length of the plywood is three feet more than the width. This is : $l=x+3$

Now, in terms of x we get:

Width = x

Length = (x+3)

Length of Diagonal = 3x

Now applying Pythagorean Theorem

$a^{2}+b^{2}=c^{2}$

$x^{2}+(x+3)^{2}=(3x)^{2}$

$x^{2}+x^{2}+6x+9=9x^{2}$

Solving this we get,

$-7x^{2}+6x+9=0$

We will use quadratic formula to solve this and get the answer,

x = 3/7 +/- (12√2) / -14

x = 1.64075 or x = -0.783612(neglect this negative value)

So, x = 1.64075 feet

Now length of diagonal is 3x = 3*1.64075 = 4.922 feet

So, length of diagonal is 4.922 feet.

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3 years ago

What are the coordinates of point A

rosijanka [135]

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Step-by-step explanation:

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3 years ago

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These triangles are similar.<br> True<br> Or<br> False

iren2701 [21]

Answer:

<u><em>True</em></u> because they both are triangles, they both have tree side but one is just smaller than the other.

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3 years ago

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RUDIKE [14]

Answer:

(a) $\dfrac{15}{32}$

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Step-by-step explanation:

(a)

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Since you are placing a bet that the outcome is an odd number.

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(b) The actual odds against winning

$\text{Actual Odds against Winning})=\dfrac{32-15}{15}\\=\dfrac{17}{15}$

Therefore, the actual odds against winning are 17:15

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4 years ago

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Wittaler [7]

Answer:

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Step-by-step explanation:

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4 years ago