Answer: Elizabeth and Manuel have a distance of 4 meters between them.
Step-by-step explanation: Please refer to the picture attached.
From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.
We shall apply the pythagoras theorem in solving for the unknown side, EM.
The Pythagoras theorem states thus;
AC² = AB² + BC²
Where AC is the hypotenuse, and AB and BC are the other two sides.
Substituting for the known values, we now have;
5² = 3² + EM²
25 = 9 + EM²
Subtract 9 from both sides of the equation
16 = EM²
Add the square root sign to both sides of the equation
√16 = √EM²
4 = EM
Therefore the distance between Elizabeth and Manuel is 4 meters
Answer:
D is the largest angle
Step-by-step explanation:
The angle opposite the largest side is the largest and the angle opposite the smallest side is the smallest.
Since 12 is the largest side, angle D is the largest
8 is the smallest side, F is the smallest angle
Answer:
The value of y for x = 8 is 60 .
Step-by-step explanation:
Given expression as :
For x = 2 , y = 15
Let the equation be written with constant k'
So, y = k x
Or, k = 
∴ k = 
<u>Now, again </u>
For x = 8
equation can be written as
y = k x
Or, y = × 8
Or, y = 
∴ y = 15 × 4
I.e y = 60
Hence The value of y for x = 8 is 60 . Answer
Step 1: to solve this equation first subtract 4.9 from both sides.
w + 4.9 - 4.9 = 6.88 - 4.9
When you reduce that your answer should be w = 1.92
Therefore the weight of ingredients other than granola in Miranda's trail mix is 1.92
I found that the given prices are $ 4 per pack of pens and $ 3 per pack of penciles.
The question is how much the bookstore spent on pens.
Then you have to multiply the number packs of pens, which is 1,528, times the price per pack pens which is $ 4.
So, the answer is: 1528 packs of pens * $ 4 / pack of pens = $6112.
