All categories

2 years ago

Part A

Mathematics

1 answer:

Deffense [45]2 years ago

5 0

Answer: Not safe

Step-by-step explanation:

Let the angle of elevation of the ramp be θ, then:

$\begin{aligned}&\sin \theta=\frac{1.5}{10}=0.15 \\&\theta=\sin ^{-1}(0.15) \approx 8.63^{\circ}\end{aligned}$

But the maximum angle for the ramp cannot exceed 7.1°. The calculated angle of elevation will make it difficult, if not impossible, for motorized wheelchairs to get up the ramp.

Therefore, the ramp at the local library is not safe for motorized wheelchairs

You might be interested in

Find all solutions to 5cosθ = 3cosθ - 1.

IrinaVladis [17]

Hello :
5cosθ = 3cosθ - 1.
5cosθ - 3cosθ = 1.
2cosθ =1
cosθ =1/2
all solutions :
cosθ =cosπ/3
all solutions :
θ =π/3 +2kπ or θ = - π/3 +2kπ ....k in Z

6 0

3 years ago

1. use the graph of y = sin θ to find the value of sin θ for each value of θ. 270°please help

alukav5142 [94]

You are expected to memorize the general shape of the sine function, including where the peaks and zero crossings are. The graph shows you the value of
sin(270°) = -1

5 0

3 years ago

Simplify the expression. Write the answer with positive exponents only. Assume the variable represents a nonzero real number.

luda_lava [24]

Answer:

$\frac{1}{w^{29}}$

Step-by-step explanation:

The given expression is $\frac{w^{-7}(w^{-9})^2}{w^4}$ .

Since, $w^{-7}=\frac{1}{w^7}$

And $w^{9}=\frac{1}{w^9}$

Expression will become,

$\frac{w^{-7}(w^{-9})^2}{w^4}=\frac{\frac{1}{w^7}(\frac{1}{w^9})^2}{w^4}$

$=\frac{\frac{1}{w^7\times w^{18}}}{w^4}$

$=\frac{\frac{1}{w^{(7+18)}}}{w^4}$

$=\frac{1}{w^{25}}\times \frac{1}{w^4}$

$=\frac{1}{w^{25}\times w^4}$

$=\frac{1}{w^{29}}$

Therefore, Simplified form of the given expression will be $\frac{1}{w^{29}}$ .

3 0

3 years ago

Write the equation of the line which contain the point (1, 2) and slope = - 4 .

a_sh-v [17]

Step-by-step explanation:

y=mx+c

2=(-4)(1)+c

2=-4+c

c=2+4

c=6

therefore the answer is...

y=-4x+6

6 0

3 years ago

The phythatagorean Theron in two and three dimensions

natta225 [31]

The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are sides not opposite to the right angle, shown as a square. C represents the hypotenuse, or side opposite of the right angle

We see that a = 14 (it can also be b; both can be plugged in as both are adjacent and not opposite of the right angle)

c = 19; hypotenuse is opposite of right angle

14^2 + b^2 = 19^2

196 + b^2 = 361

b^2 = 361 - 196

b^2 = 165

b = square root of 165

b = 12.845

x = 12.845

3 0

3 years ago