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2 years ago

If A=(-1,-3) and B=(11,-8) what is the length of AB

2 answers:

8 0

Distance formula = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-1,-3)...x1 = -1 and y1 = -3
(11,-8)...x2 = 11 and y2 = -8
now we sub
d = sqrt (11 - (-1)^2 + (-8 - (-3)^2
d = sqrt (12^2) + (-5^2)
d = sqrt (144 + 25)
d = sqrt 169
d = 13 <=====length of AB

scZoUnD [109]2 years ago

4 0

The answer is 13 units

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A kite is stuck in a 36-ft tree. If the angle of elevation from the kite and the ground is 12, find the length of the kite.

yanalaym [24]

Answer:

173.15 ft.

Step-by-step explanation:

Please find the attachment.

Let L be the length of kite.

We have been given that a kite is stuck in 36-ft tree. The angle of elevation from the kite and the ground is 12.

We can see from our attachment that kite and tree form a right triangle. height of tree is opposite of angle of elevation and length of kite is hypotenuse.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use sine to find the length of kite.

$sin(12)=\frac{36}{L}$

$L=\frac{36}{sin(12)}$

$L=\frac{36}{0.207911690818}$

$L=173.1504364105882792\approx 173.15$

Therefore, the length of kite is 173.15 ft.

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2 years ago

Find the value of the expression

MArishka [77]

The value would be -35.357.

8 0

2 years ago

Find the solutions to the system; y=x^2-3x-1 and y=8x-1

PSYCHO15rus [73]

${x}^{2} - 3x - 1 = 8x - 1 \\ {x}^{2} - 11x = 0 \\ x(x - 11) \\ x = 0 \: or \: x = 11$

When x = 0,
$y = 8x - 1 \\ y = 0 - 1 \\ y = - 1$

When x = 11
$y = 8(11) - 1 \\ y = 87$
x = 0, y = - 1
x = 11, y = 87

Answer is B.

Hope this helps. - M

8 0

2 years ago

A farmer is building a new silo. The circular silo is 27 meters tall and has a radius of 14 meters. What is the area of the base

Aleks [24]

Answer:

615.44m²

Step-by-step explanation:

The base of the silo is a circle

Rea of the base of the silo = πr²

r is the radius of the silo

Given

radius r = 14m

Area of the base of the silo = π(14)²

Area of the base of the silo = 3.14(196)

Area of the base of the silo = 615.44

Hence the area of the base of the silo is 615.44m²

3 0

3 years ago

Is <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B6%7D%20" id="TexFormula1" title=" \frac{3}{6} " alt=" \frac{3}{6} "

STALIN [3.7K]

Hey!

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Answer: Yes 3/6 is rational!

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Why? Well, because 3 and 6 are integers that don't repeat. 3/6 simplifies to 1/2 or 0.5 which doesn't repeat so it's rational.

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Hope This Helped! Good Luck!

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3 years ago