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lianna [129]
2 years ago
10

What is the distance between coordinates (-6.25,5) and (-3.75,2)

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
6 0

Answer:

\sqrt{15.25}

Step-by-step explanation:

To find the distance, we can use the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} when the given points are (x_1,y_1) and (x_2,y_2)

Plug in the points (-6.25,5) and (-3.75,2)

d=\sqrt{(-6.25-x_1)^2+(5-y_1)^2}\\d=\sqrt{(-6.25-(-3.75))^2+(5-2)^2}\\d=\sqrt{(-6.25+3.75)^2+(5-2)^2}\\d=\sqrt{(-2.5)^2+(3)^2}\\d=\sqrt{6.25+9}\\d=\sqrt{15.25}

Therefore, the distance between the two coordinates is \sqrt{15.25}, or approximately 3.91.

I hope this helps!

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Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the str
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Answer:

Step-by-step explanation:

The string of a kite forms a right angle triangle with the ground. The length of the string represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.

To determine the height of the kite, we would apply the sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse.

1) if the kite makes an angle of 25° with the ground, then the height, h would be

Sin 25 = h/50

h = 50Sin25 = 50 × 0.4226

h = 21.1 feet

2) if the kite makes an angle of 45° with the ground, then the height, h would be

Sin 45 = h/50

h = 50Sin45 = 50 × 0.7071

h = 35.4 feet

The approximate difference in the height of the kite is

35.4 - 21.1 = 14.3 feet

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3 years ago
there are 50 people in a class out of this number 1/10 speak French only and 4/5 of the remainder speak both French and English
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36 students speak both english and french

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What is 15+12x-5x+4y-7 by combining like terms
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Answer:

8+7x+4y

Step-by-step explanation:

15-7 is 8

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Put it all together to get 8+7x+4y

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Which set best represents the integers?
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A surveyor found the angle of elevation from the ground to the top of the building at two locations 20 feet apart as shown below
Serga [27]

Applying the sine ratio and law of sines, the correct measurements are:

B. m∠B = 15°

E. h ≈ 31.28 ft.

<h3>What is the Sine Ratio?</h3>

Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.

Find c using the law of sines:

C = 33°

A = 180 - 48 = 132 [linear pair]

B = 180 - 33 - 132 = 15° [triangle sum theorem]

b = 20 ft

c = ?

Using the law of sines, b/sin B = c/sin C, we have:

20/sin 15 = c/sin 33

(c)(sin 15) = (20)(sin 33)

c = (20 × sin 33)/sin 15

c ≈ 42.09

Use the sine ratio to find h:

∅ = 48°

Hypotenuse = c = 42.09

Opposite = h = ?

sin 48 = h/42.09

h = (sin 48)(42.09)

h ≈ 31.28

The correct measurements are:

B. m∠B = 15°

E. h ≈ 31.28 ft

Learn more about the sine ratio on:

brainly.com/question/2920412

#SPJ1

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