All categories

3 years ago

Obtain the length of a ladder leaning against a wall 4.33 m high and forming an angle of 60 ° with respect to the floor of the

Mathematics

1 answer:

Sergio [31]3 years ago

4 0

I believe the answer is 5.0 meters
sin60 = 4.33/x
x = 5.0

You might be interested in

Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.

vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

$\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}$

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

$\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}$

So, it becomes,

$\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ$

Hence, the value of cos theta is -0.352.

8 0

3 years ago

How many terms are there in 37,38,39,40...,437

aivan3 [116]

Answer:

There are 401 terms.

Step-by-step explanation:

The first term is 37 (subtract 36 to get 1st). The last term is 437 (subtract 36 to get 401st).

8 0

2 years ago

Read 2 more answers

6-3q < 1 choose all answers that apply

AysviL [449]

Answer:

q>5/3

Step-by-step explanation:

8 0

3 years ago

Help me with these worksheets PLEEEEASE

dolphi86 [110]

34:A
35:C
36:B
37:D
38:Not sure. Doesn't hurt to guess
39:B

4 0

2 years ago

What is the equation of the line that passes through (4, -1) and (-2, 3)?

salantis [7]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 2, 3)

m = $\frac{3+1}{-2-4}$ = $\frac{4}{-6}$ = - $\frac{2}{3}$ , thus

y = - $\frac{2}{3}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 3) , then

3 = $\frac{4}{3}$ + c ⇒ c = 3 - $\frac{4}{3}$ = $\frac{5}{3}$

y = - $\frac{2}{3}$ x + $\frac{5}{3}$ ← in slope- intercept form

Multiply through by 3 to clear the fractions

3y = - 2x + 5 ( add 2x to both sides )

2x + 3y = 5 ( subtract 5 from both sides )

2x + 3y - 5 = 0 ← in general form

4 0

3 years ago