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Effectus [21]
3 years ago
11

Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

Answer:

(-2, 3)

Step-by-step explanation:

the point B is

B(x,y)

x

AB (A to B) is twice BC ( B to C )

AB is 2 - x. BC is x - (-4)= x + 4

So

2-x=2 (x + 4)

2-x=2x + 8

3x = -6

x = -2

y

(Same logic as above)

AB is -5 -y. BC is u - 7

-5 -y = 2(y - 7)

-5 - y = 2y - 14

3y = 9

y= 3

the point is (-2, 3)

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3 years ago
Let AB = 24, AC = 10 and BC = 26.
nata0808 [166]

Answer:

a) 24

b) 10

c) 12/13

d) 5/13

e) 12/5

Step-by-step explanation:

a) We can see that the leg opposite <C is AB, and we are given AB = 24

b) We can see the leg adjacent to <C is AC, and we are given that AC = 10

c) The trig function sine is equal to

\frac{opposite}{hypotenuse}

The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:

sin(c) = \frac{24}{26} = \frac{12}{13}

d)The trig function cosine is equal to

\frac{adjacent}{hypotenuse}

The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:

cos(c) = \frac{10}{26} = \frac{5}{13}

d)The trig function tangent is equal to

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The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:

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4 0
3 years ago
The sales tax rate in New Mexico is $5.125%.
madreJ [45]

Answer:

<em>The tax is $1.54 and the price after tax is $31.54</em>

Step-by-step explanation:

<u>Percentages</u>

The procedure to add a percentage ratio p to a given quantity q is:

* Calculate the increase as i = p*q/100

* Add the increase to the original quantity to get the final quantity f=q + i

It's given the sales tax rate in New Mexico is p=5.125%. A pair of pants in New Mexico costs q=$30 before tax.

* The increase (tax) is i = (5.125*30)/100 = $1.54

* The price after tax is f = $30 + $1.54 = $31.54

The tax is $1.54 and the price after tax is $31.54

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3 years ago
In the figure, m ll n. If the measure of angle 8 is (4x +7) and the measure of angle 2 is 107 degrees, what is the value of x? E
Archy [21]

Given:

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1 year ago
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