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4 years ago

Work out the size of angle A

Mathematics

2 answers:

ExtremeBDS [4]4 years ago

5 0

Answer:

27.63

Step-by-step explanation:

a² = b²+c² - 2bcCos(A)

a² = 11² + 9² - 2 x 11 x 9 x cos(38)

a = BC = 6.78

sin(A)/a = Sin(B)/b

sin(A)/6.78 = Sin(38)/9

sin(A) = Sin(38) x 6.78 / 9

sin(A ) = 0.463

SIn-1(0.463) = 27.63

vovikov84 [41]4 years ago

3 0

Answer:

the angle will be b because it going down in to a angle

Step-by-step explanation:

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A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.

denpristay [2]

The perimeter of the square is: $20\sqrt2$ ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

$d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100$

Dividing both sides by 2

$\frac{2a^2}{2}=\frac{100}{2}\\a^2=50$

Taking Square root on both sides

$\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft$

Now,

$P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft$

Hence,

The perimeter of the square is: $20\sqrt2$ ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

#learnwithBrainly

5 0

4 years ago

#Me being lazy ,,20Points for correcting answer with Explanation

blagie [28]

Answer:

<h2>linear</h2>

Step-by-step explanation:

If the function is linear, then:

$\dfrac{rise}{run}=constant$

$rise=\Delta y=y_2-y_1\\\\run=\Delta x=x_2-x_1$

From the table we have pairs of points:

(-2, -5), (-1, -1)

(-1, -1), (0, 3)

(0, 3), (1, 7)

Substitute:

$\dfrac{1-(-5)}{-1-(-2)}=\dfrac{4}{1}=4\\\\\dfrac{3-(-1)}{0-(-1)}=\dfrac{4}{1}=4\\\\\dfrac{7-3}{1-0}=\dfrac{4}{1}=4$

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4 years ago

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Dima020 [189]

Step-by-step explanation:

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Total green bean plants = 18 + 25 = 43

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$= \frac{54}{43} = 54 \: : \: 43$

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gogolik [260]

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4 years ago

Evaluate the expressions 12(8-5)

saveliy_v [14]

Answer:

Step-by-step explanation:

First you would solve what's in the parenthesis because the Order of Pemdas.

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