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Levart [38]
2 years ago
8

Aura built a scale model of a building using a scale in which 4 inches represents 60 feet. The height of the building is 420 fee

t.
What is the height of the scale model in inches?
Mathematics
1 answer:
Andre45 [30]2 years ago
7 0

Answer:

  28 inches

Step-by-step explanation:

We're told that each 60 ft is represented by 4 inches of model. 420 feet is 7 times 60 feet, so the model will be 7 times 4 inches.

The height of the scale model is 28 inches.

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3 years ago
A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form
Over [174]

Answer:

\vec{v}= \text{ or } \approx

Step-by-step explanation:

Component form of a vector is given by \vec{v}=, where i represents change in x-value and j represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector \vec{v}=, the magnitude is ||v||=\sqrt{i^2+j^2.

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being i, one leg being j, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}

To find the other leg, i, we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}

Verify that (9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark

Therefore, the component form of this vector is \vec{v}=\boxed{}\approx \boxed{}

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3 years ago
I don’t know what she did wrong I can’t find anything
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Answer:

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Step-by-step explanation:

3 0
3 years ago
If f(x)=-3x +2, find<br><br> c) x if f(x) = 0.
monitta

Answer:

f(0)=2

Step-by-step explanation:

f(x)=-3x +2

f(0)=-3(0) +2

f(0)= 0 +2

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2 years ago
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pav-90 [236]

Answer:

3 × 4/9

Step-by-step explanation:

Remember that 4/4 is equal to 1, so 3 × 4/4 = 3

15 is bigger than 8, so we know that 15/8 is equal to 1 point something, you can find out the answer by a simple division, once you know the answer (1.875), you multiply it by 3, and get 5.625, this is larger than 3 so it is not the answer.

4 is smaller than 9, so we know that 4/9 is equal to 0 point something, again, we divide and get 0.444..., now we know that multypling something by 0 pint something is almost the same as dividing, so we can that this result is less than 3 (its 1.333).

1 and 1/8 is a mixed fraction so we know it is larger than 1, meaning that if we multiply it by 3, we will get a number larger than 3 (3.375)

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3 years ago
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