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2 years ago

HELP!!! The length of the unknown side is _____. 6.7 7 10.8 1.73

Mathematics

2 answers:

lakkis [162]2 years ago

7 0

Answer:

c = $3\sqrt{13}$

Step-by-step explanation:

Step 1: Use Pythagorean theorem

a^2 + b^2 = c^2

PLUG IN

(9)^2 + (6)^2 = c^2

81 + 36 = c^2

117 = c^2

Step 2: Square root both sides

$\sqrt{117}$ = $\sqrt{c^2}$

$\sqrt{3^2*13}$ = c

$3\sqrt{13}$ = c

Answer: c = $3\sqrt{13}$

agasfer [191]2 years ago

4 0

Answer:

c = $\sqrt{117}$

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

c² = 9² + 6² = 81 + 36 = 117 ( take the square root of both sides )

c = $\sqrt{117}$ ≈ 10.8 ( to 1 dec. place )

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Which matrix represents the system of equations shown below? 4x - 2y = 8 2x-3y = 12

Serjik [45]

Answer:

4x-2y=8

or, 4x = 8+2y

or x = 8+2y/4-----(eq.1)

2x-3y=12-----(eq.2)

Now,

putting value of eq.1 in eq.2, we get

2x-3y=12

or, (8+2y/4)-3y = 12

or, 8-10y/4=12

or, 8-10y=12×4

or,8-10y=48

or,-10y=48-8

or,y=40/-10

or, y = -4

again,

2x-3y=12

or, 2x-3×-4=12

or, 2x+12=12

or, x=0

In 1st option

4x-2y=8

or,4×0-2×-4=8

or,0+8=8

8=8

2x-3y=12

2×0-3×-4=12

0+12=12

12=12

So 1st option is true

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2 years ago

Estimate the distance between orlando and jacksonville

posledela

The distance between Orlando and Jacksonville is about 141 miles.

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2 years ago

Read 2 more answers

Aviva wrote 8 poems during a creative writing class. Karim wrote 4 times as many poems as Aviva. Which operation would be best t

Oksi-84 [34.3K]

I believe it would multiplication because if Karim wrote 4 times as many as Aviva you would want to know what the 4times of 8 which would be 32.

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2 years ago

Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

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3 years ago

What is the height of this triangular prism?

chubhunter [2.5K]

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2 years ago