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3 years ago

A square has side length of 10 units. find the approximate length of the diagonal.

Mathematics

1 answer:

Vaselesa [24]3 years ago

4 0

By the Pythagorean theorem, d = sqrt(10^2+10^2) = 10*sqrt(2) = appr 14.14 units

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Two planes, A and B, start from the same place and move in different directions, making an angle of 50º between them. The speed

cluponka [151]

Answer: The distance between them is 230.65 miles.

Step-by-step explanation:

Since we have given that

Speed of plane A (b) = 200 miles per hour

Speed of plane B (c) = 300 miles per hour

Angle between them = 50°

So,

We will use the "Cosine formula", we get

$a^2=b^2+c^2-2bc\cos A\\\\a^2=200^2+300^2-2\times 200\times 300\cos 50\textdegree\\\\a^2=40000+90000-120000\cos 50\textdegree\\\\a^2=130000-120000\times 0.64\\\\a^2=130000-76800\\\\a^2=53200\\\\a=\sqrt{53200}\\\\a=230.65\ miles\ per\ hour$

So, distance between the two planes after one hour will be

$Distance=\frac{Speed}{time}=\frac{230.65}{1}=230.65\ miles$

So, the distance between them is 230.65 miles.

6 0

4 years ago

Read 2 more answers

Let f be the function that determines the area of a circle (in square cm) that has a radius of r cm. That is, f ( r ) represents

Zepler [3.9K]

Answer:

(a)f(4) square cm.

(b)f(10.91)-f(10.9) Square centimeter.

Step-by-step explanation:

f(r)=the area of a circle (in square cm) that has a radius of r cm.

(a)Area (in square cm) of a circle whose radius is 4 cm.

Since r=4cm

Area of the circle = f(4) square cm.

(b) When the radius of the increases from 10.9 to 10.91 cm.

Area of the circle with a radius of 10.91 = f(10.91) square cm.
Area of the circle with a radius of 10.9 = f(10.9) square cm.

Change in the Area = f(10.91)-f(10.9) Square centimeter.

4 0

4 years ago

What is the measure of angle A in the triangle?

rewona [7]

Answer:

Angle A = 50

Step-by-step explanation:

We know the 3 angles of a triangle add to 180

A + B+C = 180

2x-10 + 70 + x+30 = 180

Combine like terms

3x+90 = 180

Subtract 90 from each side

3x+90-90=180-90

3x = 90

Divide by 3

3x/3 = 90/3

x = 30

We want to find angle A

Angle A = 2x-10

= 2(30) -10

= 60-10

= 50

5 0

3 years ago

Read 2 more answers

Grant is making muffins for a reunion. The recipe to makes 12 muffins. The recipe for bran muffins makes 18 muffins. He wants to

Lapatulllka [165]

Answer:

a 36

b 3 blueberry, 2 bran

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3 years ago

Which of these expressions is equivalent to 6x – 10x + 20?

erastova [34]

Answer:

4(5-x)

Step-by-step explanation:

6x-10x+20 4(5-x)

-4x+20 20-4x

and those two are both equivalent

4 0

3 years ago