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yan [13]
3 years ago
8

What is the magnitude of the vector (7, -4) to the nearest tenth?

Mathematics
1 answer:
Kobotan [32]3 years ago
8 0

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorem:   hyp² = 7² + (-4)² = 49 + 16 = 65.

The magnitude of this vector <7, -4> is 8.1, to the nearest tenth.

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(2.7 x 10 to the power of 4) (3.5 x 10 to the power of 3)
AveGali [126]

Answer:

Step-by-step explanation:

(2.7)(10)

=27

27^4=531441

-------------------------------

(3.5)(10)

=35

35^3=42875

7 0
3 years ago
At the start of his race, 86-kg Olympic 100m champion Usain Bolt pushes against the starting block, exerting an average force of
Leviafan [203]
1) Determine the horizontal force, Fx, exerted by the block on Usain

cos(20°) = Fx / F => Fx = F*cos(20) = 1700N*cos(20) = 1597.48 N

2) Determine the Impulse of that force on Usain.

I = F*t = 1597.48N * 0.32s = 511.19 N*s

3) Determine change in momentum of Usain, Δp

Δp = I = 511.19 N*s

4) Find change if velocity

Δp = Δ(mV) = mΔV => ΔV = Δp / m = 511.19 N*s / 86 kg = 5.94 m/s

Given the Usain started from rest, the velocity is ΔV - 0 = 5.94 m/s

Answer: 5.94 m/s
3 0
3 years ago
Brainliest reward if you get this right plus 20 points
SOVA2 [1]

Answer:

The equation of the relation ⇒ y=\frac{6x}{z}

y = 18

Step-by-step explanation:

∵ y ∝ x/z

∴ y = kx/z

∵ y = 18 , x = 15 and z = 5

∴ 18 = 15k/5 ⇒ 18 = 3k

∴ k = 18/3 = 6

∴ y = 6x/z

∵ x = 21 and z = 7

∴ y = (6 × 21)/7 = 18

3 0
3 years ago
Please help me with 3 and 4 and I think this problem is talking abt problem 2 I posted for help
Naddika [18.5K]
1/6 for the first question and 1/3 for the second
8 0
3 years ago
A team of scientist surveying a forest found that there were four oak trees for every 10 pine trees. If they counted 24 more pin
Ipatiy [6.2K]

Answer:

There are 16 Oak tree in the forest.

Step-by-step explanation:

Given: There are 4 Oak tree on every 10 pine trees.

           There are total 24 more pine tree than Oak tree.

 Using the ratio of trees to find the number of trees.

Lets assume there are total number of Oak tree be "x".

∴ Total number of Pine trees will be "x+24"

We know the ratio of Oak to Pine tree is 4:10 or \frac{4}{10}

⇒\frac{x}{x+24} = \frac{4}{10}

Multiplying both side by x+24

⇒ x= \frac{4(x+24)}{10}

Using distributive property of multiplication, distributing 4 with x and 24.

⇒ x= \frac{4x+96}{10}

Multiplying both side by 10

⇒ 10x= 4x+96

subtracting both side by 4x

⇒ 6x= 96

dividing both side by 6

⇒x= \frac{96}{6}

∴ x= 16

Hence, There are 16 Oak trees in the forest.

5 0
4 years ago
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