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Naddik [55]
3 years ago
12

Suppose a triangle has two sides of length 3 and 4 and that the angle between these two sides is 60 degrees . What is the length

of the third side of the triangle
Mathematics
1 answer:
Darya [45]3 years ago
5 0

Answer:

  √13 ≈ 3.6056

Step-by-step explanation:

The Law of Cosines can be used to figure this. If the third side is "c", then it tells you ...

  c² = a² + b² - 2ab·cos(C)

  c² = 3² + 4² -2(3)(4)(cos(60°)) = 9 + 16 - 24(1/2) = 13

  c = √13 ≈ 3.6056

The length of the third side is √13, about 3.6056.

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30 yd wide and 50 yd long find the length of the diagonal
Troyanec [42]
It's the same as finding the hypothenuse of a right triangle. Let c be the hypothenuse.

30 squared+ 50 squared= c squared.

900+ 2500= c squared
3400= c squared

Then find the square root of 3400 and that will equal c.

So, depending in what form the teacher was the answer. The answer will be square root of 3400 ft squared or 58.3 ft squared.
8 0
3 years ago
Suppose that the function f is defined. , for all real numbers, as follows.
aivan3 [116]

Answer:   <em>The values of......</em>

<em>f(-5)=\frac{9}{4}\\ \\ f(-2)= -1\\ \\ f(4)=0</em>

Step-by-step explanation:

Given function is:   \left \{ {{f(x)= \frac{1}{4}x^2 -4, if x\neq -2} \atop {=-1, if x=-2}} \right.

For f(-5),  the value of x is -5, which is not equal to -2.

So,  f(-5)= \frac{1}{4}(-5)^2 -4 = \frac{1}{4}(25)-4 =\frac{25}{4}-4=\frac{25-16}{4}=\frac{9}{4}

For f(-2),  the value of x is -2.

So,  f(-2)= -1

For f(4),  the value of x is 4, which is not equal to -2.

So,  f(4)=\frac{1}{4}(4)^2 -4 =\frac{1}{4}(16)-4 =4-4=0

5 0
3 years ago
What is the area of this parallelogram?
Mariulka [41]

Answer:

25 cm

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
- 2/3 × 3/5 + 5/2 - 3/5 × 1/6​
madam [21]
First start by multiplying:
-6/15 + 5/2 -3/30

then u can simplify the fractions, -6/15=-2/5 and -3/30=-1/10

-2/5 + 5/2 - 1/10, now find a common denominator in this case 10
-4/10 + 25/10 - 1/10

now add and subtract normally

answer:20/10 or 2
5 0
3 years ago
Read 2 more answers
Plz help, I don't get it
amm1812


Step-by-step explanation:

(a+b)^{2} =a^{2} +2ab+b^{2}

e.g.

(x+9)^{2} =x^2+2(x)(9)+81

(x+9)^{2} =x^2+18x+81                            


8 0
3 years ago
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