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3 years ago

Vector v has magnitude5 units, w has magnitude 3, and the acute angle between them is 45°.

Mathematics

1 answer:

givi [52]3 years ago

8 0

Answer:

25 units

Step-by-step explanation:

No matter the direction of the vector, if we multiply the vector v by -5v, the magnitude can be calculated as follows:

$|-5*V|$

Due to properties of absolute value:

$|-5*V|=5*|V|=5*(5units) = 25 units$

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Makovka662 [10]

The 2-point form of the equation for a line can be used.

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4 years ago

Triangle ABC is reflected over the X axis. TRIANGLE ABC has points A(10,2) B(9,5) C(6,4). What is the C coordinate

gavmur [86]

1. Let A(a,b) be a point in the coordinate axis. The reflection of A with respect to the x-axis is the point A'(a, -b).

2. So the reflection of C(6, 4) is C'(6, -4)

3. Remark, a picture is always helpful when dealing with reflections.

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3 years ago

The length of a rectangle is 2 Inches less than three times its width, and its perimeter is 36 Inches. Find the width of the

elixir [45]

Answer: Width = 5 inches

Concept:

Here, we need to know the idea of the perimeter.

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter of rectangle = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = 3w - 2

P = 36 inches

Given formula

P = 2 (w + l)

Substitute the value into the formula

36 = 2 (w + 3w - 2)

Simplify values in the parentheses

36 = 2 (4w -2)

Divide 2 on both sides

36 / 2 = 2 (4w - 2) / 2

18 = 4w - 2

Add 2 on both sides

18 + 2 = 4w - 2 + 2

20 = 4w

Divide 4 on both sides

20 / 4 = 4w / 4

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Hope this helps!! :)

Please let me know if you have any questions

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3 years ago

A child that is 1.4 meters tall is standing next to a flagpole. The child's shadow is 1.2 meters long. At the same time, the sha

koban [17]

The flag pole is $8.75 \: m$ or write it as $9 \: m$ tall.

Step-by-step Explanation:

Let "p" be the height of the flag pole.

The ratio of the child height to the pole height is the same as the ratios of their respective shadows, so,

$\frac{1.4}{p} = \frac{1.2}{7.5}$

Now, Cross multiply :-

$1.2 \times p = 1.4 \times 7.5$

→ $1.2 \times p = 10.5$

→ $p = \frac{10.5}{1.2}$

→ $p = 8.75$

This $8.75$ can be rounded off to $9$ as it ends with $.75$

So, the flag pole is 9 metres tall.

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2 years ago

klio [65]

Sqrt of 125
10^2 +b^2= 15^2
100 +b^2=225
B^2=125
No perfect square for 125 so leave it in radical form

3 0

3 years ago