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alina1380 [7]
3 years ago
13

What is cosA ? Enter your answer, as a simplified fraction, in the box.

Mathematics
1 answer:
krok68 [10]3 years ago
8 0

Answer:

5/13

Step-by-step explanation:

From the mnemoic SOH CAH TOA, we know that ...

... Cos = Adjacent/Hypotenuse

In this triangle, that means ...

... cos(A) = AC/AB

We are given the value of AC, but we need to find the value of AB. We can do that using the Pythagorean theorem:

... AB² + AC² +BC²

... AB² = 15² +36² = 1521 = 39²

... AB = 39

Then ...

... cos(A) = 15/39 = (5·3)/(13·3)

... cos(A) = 5/13

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Examine the diagram and information to answer the question. Square ABCD has vertices at A(−2,1), B(2,7), C(8,3), and D(4,−3). Ho
BigorU [14]

Answer:

Option (1)

Step-by-step explanation:

Coordinates of the vertices are A(-2, 1), B(2, 7), C(8, 3) and D(4, -3)

Since ABCD is a square,

Perimeter of a square = 4 × (length of a side)

                                    = 4 × (AB)

Formula to calculate the distance between two points (x_1,y_1) and (x_2,y_2) is,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Therefore, distance between two points A(-2, 1) and B(2, 7) will be,

AB = \sqrt{(2+2)^2+(7-1)^2}

AB = \sqrt{4^2+6^2}

AB = \sqrt{52}

AB = 2\sqrt{13}

Now area of  square ABCD = 4 × 2\sqrt{13}

                                              = 8\sqrt{13} unit

Therefore, option (1) will be the answer.

7 0
3 years ago
Dustin had $52 he got $49 more and then he spent some money dustin has $35 left how much money did dustin spend
sveta [45]
The answer: Dustin spent $66

$52+$49=$101
$101-$35=$66
5 0
3 years ago
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2+3x34 what is the answer in unit form
S_A_V [24]

Answer:

3 x 34 = 102 + 2 = 104 is your answer just do the equation

8 0
3 years ago
X^3+8 divided by x+2
Klio2033 [76]

Answer: x^2+4

Step-by-step explanation:

4 0
3 years ago
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Help please 50 points
Hatshy [7]
For this, it is kind of like a triangle and having to find the diagonal. Let's see what the two legs of the triangle would be.
Leg one= 7 units
Leg two= 8 units
8²+7²= c²
64 + 49=113
√113≈10.6
The line is 10.6 units long.
4 0
3 years ago
Read 2 more answers
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