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TEA [102]
3 years ago
15

How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

Answer:

  • Two unique triangles possible

Step-by-step explanation:

Given two sides of 10 cm and one 40° angle

<u>If we use these, we'll get isosceles triangle with:</u>

1. Included 40° angle.

<u>Then the other angles will be same and measure:</u>

  • (180° - 40°)/2 = 70°

2. Adjacent 40° angle. Then one of the angles must be 40° angle as opposite of 10 cm sides.

<u>The remaining angle will measure:</u>

  • 180° - 2*40° = 100°

There no more unique triangles possible, so the answer is two.

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Select the expression that has a value of 62.45. (2 points) Group of answer choices 0.006245 × 105 0.6245 × 102 6.245 ÷ 101 624.
Free_Kalibri [48]

The expression that has a value of 62.45 is the second answer choice 0.6245 × 10²

To determine the expression that has a value of 62.45 among the given answer choices, we will evaluate each of the answer choices.

  • For the first answer choice - 0.006245 × 105 = 0.006245 × 10⁵

0.006245 × 10⁵ = 624.5

  • For the second answer choice - 0.6245 × 102 = 0.6245 × 10²

0.6245 × 10² = 62.45

  • For the third answer choice - 6.245 ÷ 101 = 6.245 ÷ 10¹

6.245 ÷ 10¹ = 0.6245

  • For the fourth answer choice - 624.5 × 103 = 624.5 × 10³

624.5 × 10³ = 624500

From above, the second answer choice is the expression that has a value of 62.45

Hence, the expression that has a value of 62.45 is 0.6245 × 10²

Learn more here: brainly.com/question/17633165

3 0
3 years ago
How many times is 5 x 10^6 larger than 5 x 10^4
gayaneshka [121]
<h3>Answer:</h3>

By <em>100 times</em>.

Step-by-step explanation:

Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.

By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.

10^6 - 10^4 = 10^2 ---> 100 times.

Hope that helps, :)

3 0
3 years ago
An isosceles right triangle is always 45 45 90 triangle. <br> True<br> False
Rom4ik [11]

Answer:

Yes, an isosceles triangle is always 45 45 90 so its TRUE!!

3 0
4 years ago
Read 2 more answers
If sin∠E = cos∠F and m∠E = 43°, what is m∠F?
sukhopar [10]

Using complementary angles, it is found that F = 47º.

<h3>What are complementary angles?</h3>

Two angles are complementary if the sum of their measures is of 90º.

If two angles A and B are complementary, the sine of one angle is the cosine of the other.

In this problem, 43º and 47º are complementary, hence:

sin 43º = cos 47º, which means that F = 47º.

More can be learned about complementary angles at brainly.com/question/11161460

7 0
3 years ago
The figure below shows rectangle ABCD.
kipiarov [429]

Answer: We can find out the missing statement with help of below explanation.

Step-by-step explanation:

We have a rectangle ABCD with diagonals AC and BD ( shown in given figure.)

We have to prove: Diagonals AC and BD bisect each other.

In triangles, AED and BEC.

\angle ADB \cong \angle CBD ( By alternative angle theorem)

AD\cong BC ( Because ABCD is a rectangle)

\angle CAD\cong \angle ACB  ( By alternative angle theorem)

By ASA postulate,\triangle AED\cong \triangle BEC

By CPCTC, BE\cong ED and CE\cong EA

⇒ BE= ED and CE=EA

By the definition of bisector, AC and BD bisect each other.


4 0
3 years ago
Read 2 more answers
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