Answer:
Step-by-step explanation:
There are six faces on the prism:
Two faces are 7 cm by 10 cm, area = 7×10 = 70 cm² each
Two faces are 7 cm by 3 cm, area = 7×3 = 21 cm² each
Two faces are 10 cm by 3 cm, area = 10×3 = 30 cm² each
surface area = 2(70) + 2(21) + 2(30) = 140 + 42 + 60 = 242 cm²
Answer:
Assume ΔABC is an acute triangle.
Step-by-step explanation:
Given the triangle ABC.
We have to tell the first step of indirect proving ΔABC is not an acute triangle.
An indirect proof, also known a proof by contradiction. When we use indirect proof method, we assume the opposite of our theory to be true and then by applying our assumed theory we contradict the given statement which proves our supposition is wrong. In other words, we assume our theory is false.
Hence, our first step is to
Assume ΔABC is an acute triangle.
Third option is correct.
Answer: D The square root of 100 is 10. Or,
√100 = 10
Step-by-step explanation:
Applying the law of sines, the approximate length of side YZ is: A. 15.7 units.
<h3>How to Apply the Law of Sines?</h3>
Law of sines is expressed as follows: x/sin X = y/sin Y = c/sin Z.
Given the following:
- x (YZ) = ?
- X = 32°
- z = 24
- Z = 180 - 32 - 94 = 54°
Plug in the values
x/sin 32 = 24/54
x = (sin 32 × 24)/sin 54
x ≈ 15.7 units.
Learn more about the law of sines on:
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Answer:
the answer would be -2, -6 and if you need more help i believe you can work up to it
Step-by-step explanation: