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3 years ago

The perimeter of a right-angled triangle is 72 cm.

Mathematics

1 answer:

Verizon [17]3 years ago

6 0

Answer:

the sides of the triangle are 4 cm , 8 cm , 20 cm

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What is the square root of 75m

umka2103 [35]

Answer:

the square root of 75 is either $\sqrt75$ or 8.66

Step-by-step explanation:

6 0

3 years ago

Part A

Deffense [45]

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

5 0

2 years ago

A sprinkler sprays water in a circular area up to 30 feet. A radius reduction screw lets people reduce the radius by up to 25%.

tankabanditka [31]

Answer: $1590.63\ ft^2$

Step-by-step explanation:

Given

The sprinkler can water the area up to $30\ ft$ i.e. $30\ ft$ is the radius

If the screw leads to a reduction of 25% in radius, then the new radius is

$r'=(1-0.25)r\\r'=0.75r\\r'=22.5\ ft$

So, the area corresponding to this radius

$\Rightarrow \pi (22.5)^2\\\Rightarrow 1590.63\ ft^2$

Thus, the maximum area that can be covered is $1590.63\ ft^2$

5 0

3 years ago

Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by

elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate $x^4$ .

We have

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h$

Expand the numerator using the binomial theorem, then simplify and compute the limit.

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}$

In general, the derivative of a power function $f(x) = x^n$ is $\frac{df}{dx} = nx^{n-1}$ . (This is the aptly-named "power rule" for differentiation.)

3 0

2 years ago

Harry rides his bike 25 3/8 miles and Karen rides her bike 25 2/5 miles who rides farther?

LenKa [72]

you need to get a common denominator

the common denominator is 40

3/8 * 5/5 = 15/40

2/5 * 8/8 = 16/40

25 15/40 < 25 16/40 so Karen rode farther

8 0

3 years ago