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pishuonlain [190]

2 years ago

8

3) х 45° 11 A) 10.8 C) 11.0 B) 11.6 D) 8.8

1 answer:

maxonik [38]2 years ago

6 0

Answer:

AAO 22.902 A 45 12.632 13,939 945 559,302 5A , 480 1.17 6.044 36,491 ... 12.1 F 13.2 12.1 F 13.2 12.1 E 13.2 12.1 F 12.9 12.5 8.6 8.3 F 10.0 9.7 8.6 B.3 E 11.6 ... 10.5 D 11.8 10.5 C 11.8 10.5 D 11.8 10.5 с 11.8 10.5 U 11.8 10.5 D 13.3 12.7 ... 10.1 12.1 11.4 8.8 A.3 13.3 12.9 13.3 12.5 13.3 12.5 13.3 12.5 11.0 10.4 13.3 ...

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If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are:

Minimum ( $\cos \theta = 0$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0$

Maximum ( $\cos \theta = 1$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1$

With the help of a graphing tool we get the family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

7 0

2 years ago

A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the

Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

= x ( x-3)

Given that the area of the rectangle = 70 square feet

x ( x-3) = 70

⇒ x² - 3x - 70 =0

⇒ x² - 10 x + 7 x - 70 =0

⇒ x (x -10) +7( x-10) =0

⇒ ( x+7) ( x-10) = 0

⇒ x =-7 and x=10

<u><em>Final answer:</em></u>-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

8 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. if necessary, use / for the fraction bar(s).

Marrrta [24]

Answer:

$\frac{11}{12} - \frac{1}{3} = \frac{7}{12}$

Step-by-step explanation:

Given

See attachment for question

Required

Solve

We have:

$\frac{11}{12} - \frac{1}{3}$

Take LCM and solve

$\frac{11}{12} - \frac{1}{3} = \frac{11 - 4}{12}$

$\frac{11}{12} - \frac{1}{3} = \frac{7}{12}$

4 0

2 years ago

What is -3(x-8)+7x=12

algol13

Answer:

18/5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

ale4655 [162]

Answer:

A: 10,000 residents to 25 police officers

Step-by-step explanation:

400*25=10,000

5 0

2 years ago