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3 years ago

Find the exact length of the third side .

Mathematics

1 answer:

garri49 [273]3 years ago

5 0

It would be 98 because in the pythagorean theorem. it is a2 plus b2 equals c2.

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Find the measure of the largest angle in ABC if a = 12, b = 8 and c = 13.

Papessa [141]

Answer:

$C=78.28^{\circ \:}$

Step-by-step explanation:

We are given a triangle

whose sides are

a=12

b=8

c=13

Since, c is largest among them

So, angle C must be largest angle

we can find angle C

we can use law of cosine formula

$cos(C)=\frac{a^2+b^2-c^2}{2ab}$

now, we can plug values

$cos(C)=\frac{12^2+8^2-13^2}{2\times 12\times 8}$

$cos(C)=\frac{13}{64}$

now, we can find angle

we get

$C=78.28^{\circ \:}$

5 0

3 years ago

Cost of 5 m ribbon = 7.5 and cost of 1 m ribbon is

Umnica [9.8K]

Answer:

1.50

Step-by-step explanation:

7.5 is 1.5 x 5 so, 1 x 1.5 = 1.5

5 0

3 years ago

Graph y-4=2x and identify the slope and y-intercept.

zzz [600]

Answer:

slope is 2 and y-intercept is (0, 4)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

In ΔVWX, w = 520 cm, ∠W=93° and ∠X=68°. Find the length of x, to the nearest centimeter.

Pani-rosa [81]

Answer:

482.7972612 cm. Just round from here.

Step-by-step explanation:

Ah, the sine law questions. Ok so you know $\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}$ . If you don't, voila. Obviously, the variables are different but we can use the same formula. So, we have

$\frac{sin(X)}{x} = \frac{sin(W)}{w}$

Plug in:

$\frac{sin(68)}{x} = \frac{sin(93)}{520}$

The answer when solving for x is the above

7 0

3 years ago

1. A right triangle is shown below. Use the Pythagorean Theorem to determine the lengths of each side. Phythagorean Theorem: a2

erik [133]

This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25

(x + 3)(x + 3) = x^2 + 6x + 9 by the same method

(2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.

4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5

2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17

Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289

a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer

5 0

3 years ago