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galina1969 [7]
3 years ago
6

Tara drives due north for 22 miles then east 11 miles. How far is Tara from her starting point? Round to the nearest tenth is ne

cesary
Mathematics
1 answer:
kumpel [21]3 years ago
8 0
<h2>Hello!</h2>

The answer is: Tara is 24.6 miles from her starting point.

<h2>Why?</h2>

Since she first drives to the north, and then to the east, we can find how far is Tara from her starting point by using the Pythagorean Theorem.

The Pythagorean Theorem states that:

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

a=Displacement\\b=22miles(north)\\c=11miles(east)

Therefore,

Displacement=\sqrt{22miles^{2} + 11miles^{2}}=\sqrt{484 + 121}\\diagonal=\sqrt{605}=\sqrt{400.57}=24.59miles=24.6miles

So, Tara is 24.6 miles from her starting point and her displacement is 24.6 miles northeast.

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Which property is illustrated by the statement<br> (2+3.4)+6=2+(3.4+6)
aleksandrvk [35]

Answer:

Associative property is illustrated.

Step-by-step explanation:

we have been given:

(2+3.4)+6=2+(3.4+6)

This is the associative identity which is:

a+(b+c)=(a+b)+c

Here, we have a=2, b=3.4, c=6

On comparing the values with associative property we get:

(2+3.4)+6=2+(3.4+6)

We club two numbers b and c first and then a and b in same bracket.

6 0
2 years ago
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The length of a rectangular garden is 3 yards greater than the width of the garden. If the garden measures 15 yards diagonally,
aliina [53]

15 x 3= 45 so therefore 45 is the length hope that help!

4 0
3 years ago
How many 1/8 make a 1/4?
Dmitry_Shevchenko [17]

Answer:

2

Step-by-step explanation:

1/8+1/8= 2/8=1/4

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the price of a small pizza increased from $5 to $8. what is the percent of increase in the cost of the pizza? round to the neare
Ne4ueva [31]
60%

Working

£5:100%
£1:20%
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6 0
2 years ago
The Circle with a center (10,1) and the radius 5 has equation
liberstina [14]
<h3>Answer:  (x-10)^2 + (y-1)^2 = 25</h3>

============================================

Explanation:

The general template of a circle is

(x-h)^2 + (y-k)^2 = r^2

Where,

  • (h,k) is the center
  • r is the radius

We are given (10,1) as the center so (h,k) = (10,1) meaning that h = 10 and k = 1 pair up together.

r = 5 is the given radius.

-----

Plug the values h = 10, k = 1, r = 5 into the equation to get:

(x-h)^2 + (y-k)^2 = r^2

(x-10)^2 + (y-1)^2 = 5^2

(x-10)^2 + (y-1)^2 = 25

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2 years ago
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