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3 years ago

URGENT...Please help me with this question!!!!!!

Mathematics

1 answer:

Hunter-Best [27]3 years ago

6 0

Answer:

option 2

Step-by-step explanation:

The problem can be solved using Pythagoras' identity for a right triangle.

The angle between due East and due North is 90°

The solution here involves using the Cosine rule.

let x be the direct distance between house and office, then

x² = 17² + 21² - 2(17)(21)cos90° → option 2

Note that since cos90° = 0 the equation reduces to

x² = 17² + 21² ← Pythagoras' identity

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What is the value of this expression when a = 2 and b = -3 ? a^3 - b^3 / 5

saveliy_v [14]

Answer:

13 2/5

Step-by-step explanation:

a = 2 and b = -3

so the question asks whats.... a^3 - b^3/5

First we plug in the values of a and b

(2)^3 - (-3)^3 /5

Now we solve the ones in paranthesis first

(2)^3 = 8 because 2×2×2 and

-(-3)^3 forget about the - outside the parenthesis so

(-3)^3 = (-27) because (-3)×(-3)×(-3)

now we put it back together

8 -(-27)/5

the two minus become plus so

8 + 27/5

Now we solve it like fractions

8 and 27/5

simplify

13 and 2/5

Hope that helps!

5 0

3 years ago

Part 1

natali 33 [55]

Because December is really cold

5 0

2 years ago

Any one help with a step by step answer so I can write notes for future reference when working out similar questions? I need hel

max2010maxim [7]

Answer:

Volume = ( About ) 2406.165 cm^3

Step-by-step explanation:

If you consider a cube or a rectangular prism, you could identify it's volume through the multiplication of it's Base by height. A pyramid has 1 / 3rd that volume, so in order to take a volume of the figure to the left, we would multiply Base * height and take 1 / 3rd of that;

$Square Pyramid,\\Base ( Square ) = a^2, a = length = 17.2 cm\\Height = 24.4 cm\\\\Volume = 1 / 3 ( Base ) ( Height ),\\Volume = 1 / 3 ( ( 17.2 )^2 )( 24.4 ),\\Volume = 1 / 3( 295.84 )( 24.4 ),\\\\Volume = 98.6133333333( 24.4 ),\\Volume = 2406.16533333,\\\\Volume = ( About ) 2406.165$

Solution ⇒ ( About ) 2406.165 cm^3

Hope that helps!

3 0

3 years ago

A bird was perched on a tree at a height of 19 feet. The bird then saw food on a branch below and dropped down 7 1/2 feet. What

solmaris [256]

Answer:

11 1/2 feet

Step-by-step explanation:

You simply subtract 19 and 7 1/2 because the bird dropped down which means it is closer to the ground, therefore, subtracting its original height at 19 feet. Hope that helped.

8 0

3 years ago

Read 2 more answers

I need help finding the reference angles for these angles.

Salsk061 [2.6K]

Convert the angles to degrees. Remember there are 2pi radians in a circle, and a circle has 360 degrees, so conversion factor is 180degrees/pi. Then you can easily approximate the reference angle. Remember you make the reference angle from the positive x-axis and the reference angle will be the angle between the terminal side and the nearest x-axis (either positive side or negative side of the x-axis).
1) $1.4 * \frac{180degrees}{pi} = 80.214 degrees$
2) $-1.4 \pi * \frac{180degrees}{ \pi } = -252 degrees$

4 0

3 years ago