Answer:
- angles: 31.42°, 31.42°, 117.16°
- legs: 23.79 m
Step-by-step explanation:
The base angles can be found from the definition of the tangent function:
tan(base angle) = height/(half-base length)
base angle = arctan(12.4/20.3) ≈ 31.418°
Then the apex angle is double the complement of this:
apex angle = 2(90° -31.418°) ≈ 117.164°
The base angles are 31.42°, and the apex angle is 117.16°.
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The leg lengths can be computed from the Pythagorean theorem applied to the altitude and the half-base length.
leg length = √(12.4² +20.3²) = √565.85 ≈ 23.789 . . . . meters
The length of the legs is about 23.79 m.
Answer:
Step-by-step explanation:
Since we have common denominators inside the parentheses, we can combine the denominators. Then, we get the following expression:
Now, we can multiply the expression inside the parentheses by 2.
Since the expression inside the parentheses cannot be <u>simplified further</u>, we can open the parentheses and simplify the expression.
We can combine the denominators as the denominators are the same.
Finally, we can simplify -4 + 3.
Therefore, the simplified expression is (2m - 1)/5.
Learn more about combining like terms: brainly.com/question/13080103
January . . . $57.85
March . . . . 4 times as much = 4 (57.85) = $231.40
Deposit 78.45 more . . . ($231.40 + 78.45) = <em>$309.85</em> .
Notice that "interest" is never mentioned anywhere in this problem.
In other words, it doesn't matter whether Julie's savings account is
in a bucket in the basement, a mayonnaise jar on the porch, under
her mattress, or in a bank that pays no interest.
Without interest, $309.85 is what she <em><u>does</u></em> have<em><u /></em> in November, which
is about right for savings accounts in banks these days.
What her balance <em><u>should</u></em> be in November is an entirely different subject.
Answer:
(-10,8)
Step-by-step explanation:
So our original point is (-6,9).
A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.
A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.
Therefore, the new point would be:
