Answer:
(a) 5
(b) 10
(c) 13
Step-by-step explanation:
We know the distance between two points is:
d=![\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1})^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D%20-x_%7B1%7D%20%29%5E%7B2%7D%20%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D)
we have the following pairs of points:
(a) (2, 4) and (5, 0)
![d=\sqrt{(5 -2)^{2} +(0-4)^{2}} \\\\d=\sqrt{(3)^{2} +(-4)^{2}} \\\\d=\sqrt{9+16}\\\\d=\sqrt{25} = 5](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%285%20-2%29%5E%7B2%7D%20%2B%280-4%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B%283%29%5E%7B2%7D%20%2B%28-4%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B9%2B16%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B25%7D%20%3D%205)
(b) (8, 1) and (2, -7)
![d=\sqrt{(2 -8)^{2} +(-7-1)^{2}} \\\\d=\sqrt{(-6)^{2} +(-8)^{2}} \\\\d=\sqrt{36+64}\\\\d=\sqrt{100} = 10](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%282%20-8%29%5E%7B2%7D%20%2B%28-7-1%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B%28-6%29%5E%7B2%7D%20%2B%28-8%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B36%2B64%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B100%7D%20%3D%2010)
(c) (-4, 6) and (1,-6)
![d=\sqrt{(1 -(-4))^{2} +(-6-6)^{2}} \\\\d=\sqrt{(5)^{2} +(-12)^{2}} \\\\d=\sqrt{25+144}\\\\d=\sqrt{169} = 13](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%281%20-%28-4%29%29%5E%7B2%7D%20%2B%28-6-6%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B%285%29%5E%7B2%7D%20%2B%28-12%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B25%2B144%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B169%7D%20%3D%2013)
Well thing is cant draw a line and 6/10 and 2/3 isnt equialent
Answer:
i need these points for a question sorry , super sorry hope u get help tho
Step-by-step explanation:
Answer:
(d) Isosceles right
Step-by-step explanation:
You want to know the classification of a triangle with angles 45°-45°-90°.
<h3>Classification</h3>
The largest angle is 90°, a right angle. Any triangle containing a right angle is a <em>right triangle</em>.
Two of the angles have the same measure. This means the triangle is an isosceles triangle.
The triangle is classified as an isosceles right triangle.
__
<em>Additional comment</em>
A triangle whose largest angle is less than 90° is an <em>acute</em> triangle. If the largest angle is greater than 90°, it is an <em>obtuse </em>triangle.
If no sides are the same length, the triangle is <em>scalene</em>. If two sides are the same length, the triangle is <em>isosceles</em>. If all three sides are the same length, it is an <em>equilateral</em> triangle.
Larger angles are opposite longer sides, so if angles are the same, their opposite sides are the same.
It can be worthwhile to remember that the side length ratios in an isosceles right triangle are 1 : 1 : √2.
Answer:
The percent chloride in the sample is 1.56%
Step-by-step explanation:
Hi there!
The molecular formula of silver chloride is AgCl. Its molar mass (the mass of a mol of AgCl) is 143.32 g/mol. Then the number of moles of AgCl obtained in the precipitated will be:
1.58 g · (1 mol/143.32 g) = 0.0110 mol
Then, since 1 mol AgCl contains 1 mol Cl⁻ (chloride), in the sample of compost there will be 0.0110 mol Cl⁻.
The mass of 0.0110 mol Cl⁻ is:
0.0110 mol Cl⁻ · (35.453 g /mol) = 0.390 g Chloride.
Then, the percent chloride in the sample will be:
0.390 g · (100 % / 25.0 g) = 1.56%
The percent chloride in the sample is 1.56%