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notsponge [240]
3 years ago
8

Describe the translation 7 units to the left, 12 units up using a vector.

Mathematics
1 answer:
Lelu [443]3 years ago
5 0
The magnitude of the vector is √(7^2+12^2)=√(49+144)=√193

The direction is α=arctan(y/x)=arctan(12/-7)≈-59.74 however this is relative to the negative x-axis so we add 180° to get the standard angle...180-59.74=120.26°

So the vector is √193 @ 120.26°
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A 6-ft tall football player casts a 16-in. shadow. at the same time, the stadium bleachers cast a 6-ft shadow. how tall are the
spin [16.1K]
You need to use a ratio of height (H) to shadow length (L) to solve the first problem. It's basically a use of similar triangles, with two perpendicular sides, and with the shadow making the same angle with the vertical. 

<span>6 ft = 72 ins, so that rH/L = 72/16 = 9/2 for the player. </span>

<span>So the bleachers are 9/2 x 6 ft = 27 ft. </span>

<span>For the second problem, 9 ft = 108 in, so that the ratio of the actual linear dimensions to the plan's linear dimensions are 9ft/(1/2in) = 2 x 108 = 216. </span>

<span>So the stage will have dimensions 216 times larger than 1.75" by 3". </span>

<span>That would be 31ft 6ins x 54ft. </span>
4 0
3 years ago
Vladimir says that the equation of the line that passes through points above Robyn says that the line passes through the points
aleksley [76]

Answer:

Both are correct

Step-by-step explanation:

The Line has the following equation: y= 1+4/5 x

So we need to know which points: (-5,-3) and (10,9), (-10,-7). (-15, -11) are part of the line

For instances, lest start by evaluating (-15,-11) in y=1+4/5 x

this leaves us to the following operation: -11=1+4/5 * (-15)

-11=1-4*3 resulting in a equality -11=-11, this point does belong to the line

Repeat the above for all of the remaining points and you will get the same conclusion, that is we Vladimir and Robyn are correct.

8 0
3 years ago
a food company can produce 732,291,285crackers per hour. A second food company can produce 732,341,285 crackers per hour.Which c
Alika [10]

Answer:

the second company

Step-by-step explanation:

the second company produces 50,000 more crackers an hour than the first company

5 0
2 years ago
Answer this correct and you are a true legend 9 + 10 = ? ...
S_A_V [24]

Answer:

AcORdinG To MY CaLCulAtIoNS ItS 21

Step-by-step explanation:

Logic :)

5 0
2 years ago
The areas of two similar triangles are 75m2 and 300m2. The length of one of the sides of the second triangles is 9m. What is the
Ymorist [56]

Answer:

4.5 m

Step-by-step explanation:

The area of two similar triangles are 75 m2 and 300 m2. This gives you the scale factor of the triangles:

\dfrac{A_{small}}{A_{large}}=k^2\Rightarrow k^2 =\dfrac{75}{300}=\dfrac{3}{12}=\dfrac{1}{4}\Rightarrow k=\dfrac{1}{2}.

Then you can find the length of the corresponding side:

\dfrac{side_{small}}{side_{large}}=k\Rightarrow =\dfrac{side_{small}}{9}=\dfrac{1}{2},\ side_{small}=\dfrac{9}{2}=4.5\ m.

4 0
3 years ago
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