Answer:
Weight of empty bottle = 0.8 kg
Weight of water = 1.6 kg
Step-by-step explanation:
As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.
Let us assume
Weight of empty bottle = x
Weight of water = y
Now,
when the bottle is 1/4 full of water
then,
weight of water = 
×y
As given , Bottle weight = 1.2 , when it is 1/4 full of water
⇒ Weight of water + weight of bottle = 1.2
⇒ ×y + x = 1.2
⇒ y + 4x = 4.8 .......(1)
Also given, A bottle weight = 2.4 , when it is full of water
⇒ Weight of water + weight of bottle = 2.4
⇒ y + x = 2.4 ......(2)
Subtract equation (2) from equation (1) , we get
y + 4x - ( y+ x) = 4.8 - 2.4
⇒ y + 4x - y - x = 2.4
⇒3x = 2.4
⇒x = 
= 0.8 kg
and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg
∴ we get
Weight of empty bottle = x = 0.8 kg
Weight of water = y = 1.6 kg
Answer:
Yes
Step-by-step explanation:
If the longest side squared is equal to the sum of the squares on the other 2 sides then they form a right triangle
longest side = 7.5
7.5² = 56.25
2.1² + 7.2² = 4.41 + 51.84 = 56.25
Thus the 3 values form a right triangle.
Can you add the picture so im able to see and help :)
The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A)
<h3>How to find a missing angle by triangle properties</h3>
Triangles are <em>geometrical</em> figures formed by three sides and whose sum of <em>internal</em> angles equals 180°. There are two kind of triangles existing in this question: (i) <em>Right</em> triangles, (ii) <em>Isosceles</em> triangles.
<em>Right</em> triangles are triangles which one of its angles equals 90° and <em>isosceles</em> triangles are triangles which two of its sides have <em>equal</em> measures.
According to the statement, we know that triangle BQR is an <em>isosceles</em> triangle, whereas triangles ABC, ANB and NBC are <em>right</em> triangles. Based on the figure attached below, we have the following system of <em>linear</em> equations based on <em>right</em> triangles ABC and NBC:
<em>2 · x + 90 + θ = 180</em> (1)
<em>(90 - x) + 90 + θ = 180</em> (2)
By equalizing (1) and (2) we solve the system for <em>x</em>:
<em>2 · x = 90 - x</em>
<em>3 · x = 90</em>
<em>x = 30</em>
And by (1) we solve the system for <em>θ</em>:
<em>θ = 180 - 2 · x - 90</em>
<em>θ = 30</em>
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The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A) 
To learn more on right triangles, we kindly invite to check this verified question: brainly.com/question/6322314
The answer is the first option.
