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bagirrra123 [75]

3 years ago

8

Avery has 5 more than twice as many dolls as Caraleigh. Avery has 13 dolls in her collection. write an equation to represent the

number of dolls, c, Caraleigh has in her collection

1 answer:

tamaranim1 [39]3 years ago

3 0

13=2c+5
-5 -5
8=2c
/2 /2
4=c
____
| |
| c=4 |
|____|

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Find the rate of change in the table

mixas84 [53]

Answer:

I'm pretty sure it's +(-6).

Step-by-step explanation:

Basically for these, you find the slope. The slope equation is y1-y2/x1-x2.

Pick two points.

I'll just do (1,15) and (2,9).

15-9/1-2 = 6/-1 = -6.

I don't know if you were taught it this way, but my math teacher always told us that the rate of change had to be positive.

So you'd say the rate of change is +(-6), not -6.

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3 years ago

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

Find the surface area of the triangular prism (above) using its net (below).

r-ruslan [8.4K]

Answer:

96 square units

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

My answer:

The length of the large rectangle is: 5
The width of the large rectangle is: 7

=> Area of the large rectangle = length × width = 7*5 = 35 square units

The length of the middle rectangle is: 7
The width of the middle rectangle is: 4

=> Area of the middle rectangle = length × width = 7*4 = 28 square units

The length of the small rectangle is: 7
The width of the small rectangle is: 3

=> Area of the small rectangle = length × width = 7*3 = 21 square units

Area of top and the bottom triangles =2* $\frac{1}{2}bh$ $= 4*3 =12$

Total surface area = 35 + 28 + 21 + 12 = 96 square units

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3 years ago

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