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Sedbober [7]
3 years ago
5

I need help with this question ( see image). Please show workings.​

Mathematics
1 answer:
wel3 years ago
5 0

Answer:

(a) AC = 12.565 m

(b) bearing of C from A is 90°

(c) BT = 9.373 m

Step-by-step explanation:

(a) extend North line down & perpendicular to AC.

Call that perpendicular intersection "P".

∠BAC = 90° - 53° = 37°

cos 37° = AP/15

0.7986 = AP/15

AP = 11.979 m

∠PNC = 180° - 161° = 19°

∠BCP = 90° - 19° = 71°

18 cm = 0.18 m   (red flag note: 18 cm looks very out of scale for the picture)

cos 71° = CP/0.18

0.3256 = CP/0.18

CP = 0.586 m

AC = 11.979 + 0.586 = 12.565 m

(b) The bearing to C from A is 90°

(c) tan 58° = 15/x

1.6003 = 15/x

x = 9.373 m

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DIA [1.3K]

Answer:

y-intercept: -5

Slope: 4

Equation: y = 4x - 5

Step-by-step explanation:

✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:

y-intercept (b) = -5

✔️using two pairs from the table, (1, -1) and (2, 3):

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 -(-1)}{2 - 1} = \frac{4}{1} = 4

Slope = 4

✔️To write an equation for the function, substitute m = 4, and b = -5 into y = mx + b.

Thus:

y = 4x +(-5)

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3 years ago
9. One winter day, the temperature increased
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Answer: A~ 45

Step-by-step explanation:

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3 years ago
V*4x= How do you simify this equation
attashe74 [19]
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3 years ago
Use the Perfect Square Trinomial and provide the first step to calculating 382 without a calculator.
dusya [7]

Answer:

(40-2)^2

Step-by-step explanation:

Given: (38)^2

To find: the correct option

Solution:

A binomial polynomial is a polynomial consisting of two terms.

A trinomial polynomial is a polynomial consisting of three terms.

On multiplying a binomial (x-y) to itself, a perfect square trinomial (x-y)^2 is obtained.

Here, 38=40-2

So, (38)^2=(38)(38)=(40-2)(40-2)=(40-2)^2

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3 years ago
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