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3 years ago

Solve the equation. Write a reason for each step.

Mathematics

1 answer:

prohojiy [21]3 years ago

7 0

D shdndndndmdkdkdkddkdkdjdjjd

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I need help asap please help me quick

grigory [225]

Answer:

C. 3(x+5)

Hope this helps

6 0

4 years ago

Read 2 more answers

If k represents a number, then write an expression for the ratio of 3 less than k to 2 more than k

Svetradugi [14.3K]

Answer:

k - 3 : k + 2

Step-by-step explanation:

3 less than k = k - 3

2 more than k = k + 2

Ratio of 3 less than k to 2 more than k

In ratios, the word 'to' is represented as a colon :

k - 3 : k + 2

Hope this helps :)

3 0

2 years ago

Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?

mixer [17]

Given:

$|u|=10$ at an angle of 45°.

$|v|=13$ at an angle of 150°.

$w=u+v$

To find:

Magnitude and direction angle of w.

Solution:

We have,

$w=u+v$

$\theta = 45^\circ, \phi = 150^\circ$

Now,

$u_x=|u|\cos \theta=10\cos 45^\circ=7.071$

$u_y=|u|\sin \theta=u_y=10\sin 45^\circ=7.071$

$v_x=|v|\cos \phi=13\cos 150^\circ=-11.25833$

$v_y=|v|\sin \phi=u_y=13\sin 150^\circ=6.5$

Using these information, we get

$R_x=u_x+v_x=7.071-11.25833=-4.18733$

$R_y=u_y+v_y=7.071+6.5=13.571$

$\text{Direction angle}=\tan^{-1}(\dfrac{R_y}{R_x})$

$\text{Direction angle}=\tan^{-1}(\dfrac{13.571}{-4.18733})$

$\text{Direction angle}=-72.8239$

$\text{Direction angle}=107.1476$

$\text{Direction angle}\approx 107.1$

Now,

$|w|=\sqrt{(|u|\cos \theta +|v|\cos \phi)^2+(|u|\sin \theta +|v|\sin \phi)^2}$

$|w|=\sqrt{(10\cos(45)+13\cos 150)^2+(10\sin(45)+13\sin 150)^2}$

$|w|=\sqrt{(10(\dfrac{1}{\sqrt{2}})+13(-\dfrac{\sqrt{3}}{2}))^2+(10(\dfrac{1}{\sqrt{2}})+13(\dfrac{1}{2}))^2}$

$|w|=14.20236$

$|w|\approx 14.20236$

Therefore, the correct option is D.

4 0

3 years ago

Read 2 more answers

Usimov [2.4K]

Answer:

Yes, 19.3649167 < 20

Step-by-step explanation:

Do the Pythagorean theorem to figure out the height.

35^2 + x^2 = 40^2

1225 + x^2 = 1600

x^2 = 375

x = 19.3649167

7 0

3 years ago

Use a 10x10 grid to express the fraction 11\20 as a percent. How many squares would I shade in?

GenaCL600 [577]

Answer: You would share in exactly 55 squares.

Step-by-step explanation: To solve this, you need to know how to convert, divide, and multiply.

10*10=100

100/n=20

n=5

11*5=55

SO, you shade in 55 squares.

6 0

3 years ago