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natulia [17]
3 years ago
14

20 points and brainloest if you answer correctly

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:im not in collg3 but is this correct c

Step-by-step explanation:give me brianlest i fis correct

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Three vectors A, B, C in three-dimensional space satisfy the following properties
wlad13 [49]

Answer:

\frac{7}{8}\pi

Step-by-step explanation:

observe

||a–b+c|| = ||a+b+c||

(a-b+c)² = (a+b+c)²

(a+b+c)² – (a-b+c)² = 0

((a+b+c)+(a-b+c))((a+b+c)–(a-b+c)) = 0

(2a+2c)(2b) = 0

(a+c)b = 0

a•b + c•b = 0

||a||×||b||×cos(π/8) + ||c||×||b||×cos(θ) = 0

\cos(\theta)=-\frac{||a||\times ||b|| \times \cos(\frac{\pi}{8})}{||c||\times ||b||}=-\cos(\frac{\pi}{8})\\ \theta=\frac{7}{8}\pi

3 0
3 years ago
What is the value of a in the equation 3a+b=54 when b=9
klemol [59]
3a + b = 54...when b = 9
3a + 9 = 54
3a = 54 - 9
3a = 45
a = 45/3
a = 15 <===
8 0
3 years ago
Read 2 more answers
Pls help! Asap brainliest to helpful answers
riadik2000 [5.3K]

Answer:

125

Step-by-step explanation:

3 0
2 years ago
A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is a dimension of the
dalvyx [7]

To solve the problem we must know about quadratic equations.

<h2>Quadratic Equation</h2>

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

The breadth of the rectangle is 200 ft, while the length is 210 ft.

<h2>Explanation</h2>

Given to us

  • Area of the parking lot = 42,000 ft²
  • Perimeter of the parking lot = 820 ft

<h3>Area of the parking lot</h3>

Area of the parking lot = Area of the rectangle

42,000 ft² = Length x Breadth

Solving for L,

42,000 = L \times B\\\\&#10;L = \dfrac{42,000}{B}

<h3>Perimeter of the parking lot</h3>

Perimeter of the parking lot = Perimeter of the rectangle

820 ft. = 2(Length + Breadth)

820 ft. = 2(L+ B)

2(L+ B) = 820\\\\&#10;(L+B) = \dfrac{820}{2}\\\\&#10;(L+B) = 410

Substituting the value of L,

(L+B) = 410\\\\&#10;(\dfrac{42,000}{B}) +B = 410\\\\&#10;42000 + B^2 = 410B\\\\&#10;B^2 -410B +42000 = 0

<h3>Quadratic Expression</h3>

Solving the quadratic Expression,

B^2 -410B +42000 = 0\\\\&#10;(B-210)(B-200)=0

Equation the factors against zero,

B-210=0

B = 210

B-200=0

B = 200

Hence, the breadth of the rectangle is 200ft, while the length is 210 ft.

Learn more about Quadratic Expression:

brainly.com/question/10025464

4 0
3 years ago
An airplane flies 3800 km in 4 hours 45 minutes. What is its average speed in kilometers per hour?
8_murik_8 [283]

Average speed = (distance covered in some time)  /  (time to cover the distance)

4 hours 45 minutes = 4-3/4 hours = 4.75 hours

Average speed  =  (3,800 km) / (4.75 hours)  =  800 km/hr
3 0
3 years ago
Read 2 more answers
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