A drink manufacturer increases the volume of its cans by 25%.They now hold 450ml.How much did they used to hold?
1 answer:
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Answer:
a = 7.2
Step-by-step explanation:
The figure has been re-labelled and attached to this response.
From the figure, the larger right triangle DAB and the small right triangle BCA are similar. This is because;
i. They have two corresponding congruent angles which are<em> the right angle</em>
and <em>angle B</em>
Therefore, we can say that;
<em>Cross multiply</em>
a x a = 13 x 4
a² = 52
a = √52
a = 7.2
Note: The figure showing the similar triangles has also been attached to this response.
The length of PQ is 19.66 units
Step-by-step explanation:
The given is:
1. PK = KQ = 12
2. m∠P = 35º
We need to find the length pf PQ
∵ PK = KQ
∴ m∠P = m∠Q
∵ m∠P = 35°
∴ m∠Q = 35°
The sum of measures of the angles of a triangle is 180°
∴ m∠P + m∠Q + m∠K = 180°
∴ 35 + 35 + m∠K = 180
∴ 70 + m∠K = 180
- Subtract 70 from both sides
∴ m∠K = 110°
Let us use cosine rule to find the length of PQ
∵ PQ =
∵ PK = 12 , KQ = 12 , m∠K = 110°
- Substitute these values in the rule
∴ PQ =
∴ PQ = 19.66
The length of PQ is 19.66 units
Learn more:
You can learn more about triangle in brainly.com/question/12985572
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