Gergio ran 5 kilometers in 30min. If he ran at this same pace how many did he run each min

It is not possible to calculate the theoretical probability of making a basketball shot, because there are too many factors invo

sladkih [1.3K]

Answer:

45

Step-by-step explanation:

4 0

2 years ago

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What is the interval notation for all real numbers?

ankoles [38]

Answer:

15 15 17 17 19 30

Step-by-step explanation:

to ne and to 69 04 16 97 50 27

4 0

2 years ago

Situation #3: Jamie can type 243 words in 3 minutes. How many words can she type in 10 minutes?

Ratling [72]

Answer:

810 words

Step-by-step explanation:

243 words per 3 minutes

243/3 to get 81 words per minute

81 times 10 = 810

3 0

2 years ago

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Use the alternative form of the dot product to find u · v.

vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

$\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta$

$\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150$

$\overrightarrow{u}.\overrightarrow{v}= -1169.13$

(b) $\overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}$

$\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}$

$\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}$

$\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}$

Let the angle between them is θ

The formula in terms of the dot product is given by

$Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}$

$u=\sqrt{0.5^{2}+0.866^{2}}=1$

$v=\sqrt{-0.707^{2}+0.707^{2}}=1$

$Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}$

$Cos\theta=0.2587$

θ = 75°

(c) $\overrightarrow{u}=1\widehat{i}+4\widehat{j}+8\widehat{k}$

$u=\sqrt{1^{2}+4^{2}+8^{2}}=9$

$Cos\alpha =\frac{1}{9}$

$Cos\beta =\frac{4}{9}$

$Cos\gamma =\frac{8}{9}$

7 0

3 years ago

Plot and connect the points A (2, -2), B (-4, -4), C (-4, -1), D (-2, 3), E (1, 3), F (2, 5), and find the length of BC.

Paul [167]

Answer:

BC = 3 units

Step-by-step explanation:

Given points:

A = (2, -2)
B = (-4, -4)
C = (-4, -1)
D = (-2, 3)
E = (1, 3)
F = (2, 5)

Plot the points on the coordinate plane (x, y) and connect them in alphabetical order with straight lines (see attached).

From visual inspection of the drawn polygon, we can see that the length of BC is 3 units.

It is fairly simple to calculate the length of BC without plotting the points.

As points B and C have the same x-value, this means that the distance between them is simply the difference between their y-values.

⇒ distance = |-4 - (-1)| = |-3| = 3 units

6 0

2 years ago

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