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Pavlova-9 [17]
3 years ago
12

Carolina leaves her house and walks 6 blocks she turns and heads east 8 blocks until she reaches matties house what is the short

est distance between Carolinas house and matties house
Mathematics
1 answer:
s2008m [1.1K]3 years ago
5 0

Answer:

10 blocks

Step-by-step explanation:

Given

First = 6\ blocks

Second = 8\ blocks east

Required

Determine the shortest possible distance

To better explain my solution, I've added an attachment that illustrates her movement.

Using the attachment as a point of reference, the shortest distance is calculated by calculating the length of the hypotenuse using Pythagoras theorem.

So, we have:

x^2 = 6^2 + 8^2

x^2 = 36 + 64

x^2 =100

Take positive square root of both sides

x = \sqrt{ 100

x = 10

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barxatty [35]
Hello,

the answer is D (said Al Kashi)

6 0
3 years ago
A radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the dri
Novay_Z [31]

Answer:

ME = 1.64\sqrt{\frac{0.7 (1-0.7)}{100}}= 0.074

And the best answer would be:

b. 0.074.

Step-by-step explanation:

For this case we have the following info given:

X= 70 represent the number of people who answer yes for the question

n= 100 the sample size selected

\hat p =\frac{X}{n}=\frac{70}{100}= 0.7 the proportion estimated of people who answer yes

The margin of error is given by:

ME = z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The confidence level is 90% and the significance would be \alpha=0.1 and the critical value would be:

z_{\alpha/2}= 1.64

And replacing we got:

ME = 1.64\sqrt{\frac{0.7 (1-0.7)}{100}}= 0.074

And the best answer would be:

b. 0.074.

8 0
3 years ago
What is the value of x in the quadrilateral shown below? <br><br> A. 80°<br> B. 70°<br> C. 60°
stiks02 [169]
A quadrilateral has 4 angles that add up to 360 degrees. So, to solve for x:

85+150+55=290
360-290= 70
X= 70 degrees
5 0
3 years ago
NEED THE ANSWER ASAP- im so confused.
makkiz [27]

Let <em>x</em> and <em>y</em> be the two numbers.

Their sum is 140, so

<em>x</em> + <em>y</em> = 140

Twice the first number <em>x</em> is 2<em>x</em>. 5 more than this is 2<em>x</em> + 5. This is the value of the second number, so

<em>y</em> = 2<em>x</em> + 5

Substitute this into the first equation and solve for <em>x</em> :

<em>x</em> + (2<em>x</em> + 5) = 140

3<em>x</em> + 5 = 140

3<em>x</em> = 135

<em>x</em> = 135/3 = 45

Then

<em>y</em> = 2*45 + 5 = 95

3 0
3 years ago
Which is larger 17/40 or 8/15
Neporo4naja [7]

It's easier to figure it out when both fractions have the same denominator, so let's fix that:

17/40*15/15 is 255/600

8/15*40/40 is 320/600

Notice we are multiplying by a factor of 1 to get equivalent fractions

So 8/15 is bigger

Hope this helped!

4 0
3 years ago
Read 2 more answers
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