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3 years ago

The complement of 17% is

Mathematics

2 answers:

ikadub [295]3 years ago

6 0

38% :)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Allushta [10]3 years ago

5 0

Answer:

73%.

Step-by-step explanation:

Let x be the complement of 17%.

We are asked to find the complement of 17%.

We know that two angles are complementary when they add up-to 90 degrees. So we can set an equation as:

$17\%+x=90\%$

$17\%-17\%+x=90\%-17\%$

$17\%-17\%+x=73\%$

Therefore, the complement of 17% is 73%.

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A lawn sprinkler sprays water 25 feet and moves back and forth through an angle of 150°. Which of the following is the best esti

11Alexandr11 [23.1K]

$\pi25 ^{2} \times \frac{150}{360}$
Explanation:
Area is pi×r^2 and you times it by the fraction of the circle you have as its not a full circle.

5 0

3 years ago

Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector

Feliz [49]

$f(x,y,z)=2z^2x+y^3$

$f$ has gradient

$\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k$

which at the point (-1, 4, 3) has a value of

$\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k$

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say $\vec u=15\,\vec\imath+25\,\vec\jmath$ , in which case we have

$\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}$

Then the derivative of $f$ at (-1, 4, 3) in the direction of $\vec u$ is

$D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}$

4 0

3 years ago

Some one help me pleaseeeeeeeeeee

julia-pushkina [17]

Answer:

slope = $\frac{5}{2}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = $\frac{4+1}{2-0}$ = $\frac{5}{2}$

3 0

3 years ago

Acellus

taurus [48]

Answer:

The Probability is 63.7%

Step-by-step explanation:

We need to calculate the area of the circle and the area of the square

From the question, we can see that the square is of side 4 √2 cm

The area of the square is simply the square of its side length

We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2

The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm

So, we have the area of the circle as;

Pi * r^2

= 22/7 * 4 * 4 = 50.3 cm^2

so, to find the probability, we need to divide the area of the circle by the area of the square

we have this as;

32/50.3 = 0.6366

In percentage, we simply multiply by 100% to give

0.6366 * 100% = 63.66%

To the nearest tenth, this is 63.7%

8 0

3 years ago

Lin runs 8 laps around a track in 26 minutes.

lyudmila [28]

Answer:

Step-by-step explanation:

26/8=3.25

6 0

2 years ago