Hey there!
All of the angles of a triangle add up to 180. We already have 65+79 which is 144. This means only need 36 more degrees to get to 180.
Therefore, your answer is A) 36°.
I hope this helps!
Answer:
2
Step-by-step explanation:
4, 24, and 36 are divisible by 4, but there is a 6 and 6 is not divisible by 4. However, all the numbers are divisible by 2.
Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:
sin(30º) = h/34
0.5 = h/34
h = 17.
Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:
x = 24.
y is divided into two segments.
- The first is the adjacent to the angle of 30º, while the hypotenuse is 34.
- The second is adjacent to the angle of 45º, while the hypotenuse is 24.
Then:
Then, the value of y is given by:
.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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<u>Define x:</u>
Let x be the width of the border
Length of the rug = 15 -2x
Width of the rug = 12 -2x
Area of the rug = (15 - 2x)(12 - 2x)
<u>Construct equation:
</u>
Given that the area of the rug os 108 ft²
(15 - 2x)(12 - 2x) = 108
Apply distributive property:
180 - 20x - 24x + 4x² = 108
Collect all terms on the left hand side:
4x² - 44x + 72 = 0
Factorise:
x² - 11x + 18 = 0
<span> (x - 2) (x - 9)
Apply zero product property:
x = 2 or x = 9
<u>Check x:
</u>
When x = 9,
Width = 12 - 9 - 9 = -6
</span>⇒ <span>x = 9 is rejected since width cannot be negative
When x = 2
Length = 15 - 2 - 2 = 11 ft
Width = 12 - 2 - 2 = 8 ft
Answer: The border is 2 feet wide.
</span>
so it is compounded 4 times in a year in 4 years we can take it as 16 terms
a=6700(1+3.3/100)^16
a=6700(1+33/1000)^16
a=6700(1000/1000 + 33/1000)^16
a=6700(1.033)^16
a=6700*1.681144887891022
a=6700*1.6811
a=11263.23