All categories

2 years ago

PLEASE RIGHT ANSWERS ONLY!!

Mathematics

1 answer:

Temka [501]2 years ago

4 0

Answer

Step-by-step explanation:

algebra ll

You might be interested in

Use the equation a = IaIâ

german

Answer:

a) $\:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }$

b) $\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }$

c) $\:\:=7\cdot \frac{\:\:}{7}$

Step-by-step explanation:

a) Let a=<2,1,-3>

The magnitude of a is $|a|=\sqrt{2^2+1^2+(-3)^2}$

$|a|=\sqrt{4+1+9}=\sqrt{14}$

The unit vector in the direction of a is

$\hat{a}=\frac{\:\:}{\sqrt{14} }$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }$

b) Let a=2i - 3j + 4k

$|a|=\sqrt{2^2+(-3)^2+4^2}$

$|a|=\sqrt{4+9+16}=\sqrt{29}$

$\hat{a}=\frac{\:\:}{\sqrt{29} }$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }$

c) Let us first find the sum of <1, 2, -3> and <2, 4, 1> to get:

<1+2, 2+4, -3+1>=<3, 6, -2>

Let a=<3, 6, -2>

The magnitude is

$|a|=\sqrt{3^2+6^2+(-2)^2}$

$|a|=\sqrt{9+36+4}=\sqrt{49}=7$

The unit vector in the direction of a is

$\hat{a}=\frac{\:\:}{7}$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=7\cdot \frac{\:\:}{7}$

5 0

3 years ago

19. Stacy and Justin each created a number pattern. Stacy's rule is "Add 2." Justin's rule is "Add 4." Both the patterns start a

Greeley [361]

Answer:

the answer is C

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 1,176 square feet. The width of the bas

julia-pushkina [17]

Answer: 42 feet

Step-by-step explanation:

Let the length be x

Therefore, width = 2/3x

Area = Length × Width

Therefore, x × 2/3x = 1176

2/3x² = 1176

Divide both side by 2/3

x² = 1176 ÷ 2/3

x² = 1176 × 3/2

x² = 1764

x = ✓1764

x = 42

The length is 42 feet

6 0

3 years ago

David looks into two brick companies to construct the brick border for his garden. Evergreen landscapers charges an installation

Naya [18.7K]

Answer:

For 1,000 bricks, the amount charged will be the same

Step-by-step explanation:

Let the number of bricks for which they charge the same amount be $x

Thus;

The total cost from the first company will

be;

250 + 0.2(x) = 250 + 0.2x

The second will charge;

400 + 0.05(x) = 400 + 0.05x

Since the amount charged will be equal at x bricks, we need to equate both;

400 + 0.05x = 250 + 0.2x

400-250 = 0.2x-0.05x

150 = 0.15x

x = 150/0.15

x = 1,000

5 0

3 years ago

The length of a rectangle is (t – 8) units, and its width is ('+ 11) units. Which expression can represent the area of the recta

AVprozaik [17]

Corrected Question:

The length of a rectangle is (t – 8) units, and its width is (t + 11) units. Which expression can represent the area of the rectangle?

Answer:

t² + 3t - 88

Step-by-step explanation:

Given:

Rectangle of;

length = (t - 8) units

width = (t + 11) units

The area A of a rectangle is given by;

A = length x width ----------------------------------(i)

Substitute the given length and width into equation (i) as follows;

A = (t - 8) x (t + 11) [expand the brackets]

A = t² -8t + 11t - 88

A = t² + 3t - 88

Therefore, the area is

(t² + 3t - 88) square units

8 0

3 years ago