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3 years ago

PLEASE HELP with the image below

Mathematics

1 answer:

ki77a [65]3 years ago

7 0

The formula for volume of a pyramid is V = 1/3 bh. If we plug everything into the formula, you should get an answer of 17cm cubed. Hope this helps!

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There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of

Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

$AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta$ (1)

Where:

$AC$ - The distance from A to C, measured in miles.

$AB$ - The distance from A to B, measured in miles.

$BC$ - The distance from B to C, measured in miles.

$\theta$ - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

$AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta$

$\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}$

$\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right)$ (2)

If we know that $BC = 7\,mi$ , $AB = 8\,mi$ , $AC = 5\,mi$ , then the bearing from island B to island C:

$\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]$

$\theta \approx 38.213^{\circ}$

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0

3 years ago

The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun

Ray Of Light [21]

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

£1.00 will purchase xg

cross multiplying to find x will have

$x=$ $\frac{1.00*540g}{4.10}$

$x= 131.7grams$

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

£1.00 will purchase xg

cross multiplying to find x will have

$x=\frac{1.00*360g}{2.81}\\x= 128.1gram$

Hence for the small jar a penny would buy 128.1g of honey

4 0

3 years ago

Pls can u help me this is due now T-T

Artist 52 [7]

Answer:

SOLUTION: X=5

Step-by-step explanation:

x=5

y=27

vertical input= (0, 1/9)

Hope that helps!

5 0

3 years ago

What is -5x to the -3 power?

Alinara [238K]

-125x

hope this helps!!!!!

8 0

3 years ago

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For every 3 apples in a

Irina18 [472]

Answer:

18 apples equals 6 bananas

6 0

2 years ago

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