The local water slides have 72
employees, of which 25% are
temporary. How many
temporary employees are
there?

Answer:

[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Step-by-step explanation:

The equation of the curve is

[tex]Y = sin^{-1}(7x)[/tex]

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  [tex]x = \sqrt{\frac{1}{7} }[/tex]

Then slope would accordingly be

[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]

= ∞

For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]

Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Answer:

The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)

Step-by-step explanation:

The coordinates of the vertices of shape ΔP are;

A(2, 3), B(2, 1), C(3, 1)

The length AB = 3 - 1 = 2

The length CB = 3 - 2 = 1

∴ The length AC = √(2² + 1²) = √5

The coordinates of the vertices of shape ΔQ are;

A'(4, 9), B'(4, 3), C'(7, 3)

The length A'B' = 9 - 3 = 6

The length C'B' = 7 - 3 = 3

∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5

∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3

The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2

The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2

Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)

Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).

Answer:

He has to pay 15% as that is 32 and more than $25

Step-by-step explanation:

If you take 15% out of 216 it will become 32.

Answer:

3) 522

4) 468

Step-by-step explanation:

hello!

3) in the question, it says the cross section is a square, and the area of PQRS is 81.

for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)

with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.

both squares : 81+81=162

both 10 by 9 sides: 90+90=180

both 10 by 9 sides (top and bottom): 90+90=180

total surface area=162+180+180=522

4) for this problem, we can see that the triangle is a right triangle.

to solve the area of the triangle, we can do (9*12)/2=108/2=54.

there are two sides with triangles, so we double 54 (54*2=108)

9 by 10 side: 90

10 by 12 side: 120

now for the last slide, theres no information on the length. the formula for the diagonal is

a^2+b^2=c^2

which is

9^2+12^2=81+144=255=15^2

with this, the area of the rectangular side gives us 10*15 which is 150.

adding it together, we get

108+90+120+150=468.

hope this helps!

Answer:

-1 - i

Step-by-step explanation:

First, start by distributing the negative sign(-1), and you get:

5 - 6 - 3i + 2i

Next, combine the like terms, 5 & -6, and -3i & 2i.

This gives us: -1 - i

Answer: 3.5 - 4.4 pounds

Step-by-step explanation:

You included no options so I answered with the range of the answer.

When rounding a number up to the nearest whole number, the number needs to have the first decimal being 0.5 and above all the way to 0.9.

When rounding a number down to the nearest whole number, the number needs to have its first decimal being 0.1 to 0.4 to be rounded down.

For instance, 3.5 to 3.9 would get rounded up to 4 pounds.

4.1 to 4.4 would be rounded down to 4 pounds.

Answer:

60% of the test scores are less than or equal to 82

Step-by-step explanation:

Answer:

You need to do 7 time 8 times 2 times 3

for god sake pls are you serious?! i just can't believe! for a st...upi...d reason you got here before me?!? are you upset cuz you can't have what you wanted?!

Answer:

x = 5, and/or x= - 7/3

Step-by-step explanation:

|x+1|=|2x+6|

We know eitherx+1=2x+6orx+1=−(2x+6)

x+1=2x+6(Possibility 1)

x+1−2x=2x+6−2x(Subtract 2x from both sides)

−x+1=6

−x+1−1=6−1 (Subtract 1 from both sides)

−x=5

(Divide both sides by -1)

x=−5

x+1=−(2x+6)(Possibility 2)

x+1=−2x−6(Simplify both sides of the equation)

x+1+2x=−2x−6+2x(Add 2x to both sides)

3x+1=−6

3x+1−1=−6−1(Subtract 1 from both sides)

3x=−7

Divide both sides by 3

x= −7 / 3

Check answers. (Plug them in to make sure they work.)

x=−5(Works in original equation)

x= −7/3

(Works in original equation)

Answer:

x=−5 or x= −7 / 3

Answer:

7.3

Step-by-step explanation:

Answer:

40 degrees

Step-by-step explanation:

sum of angles in a triangle = 180 degrees

if the exterior angle measures = 95, the interior angle beside it would measure 180 - 95 = 85

marked interior angle = 180 - (85 + 55) = 40 degrees

Answer:

As ewomazinoade states 40° should be the correct answer.

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Answer:

146

Step-by-step explanation:

angle AB is an inscribed angle and arc AB is it's intercepted arc

An inscribed angle is equal to half the measure of its intercepted arc

Which means that an intercepted arc is equal to two times the measure of its corresponding inscribed angle

Thus, arc ab = 2(73)

2 * 73 = 146

hence, arc AB = 146

Answer:

mAB = 146°

Step-by-step explanation:

We can notice that the angle given is an inscribed angle and an inscribed angle is 1/2 the arc it intercepts. We can set up an equation to model the situation:

73° = 1/2(mAB)

mAB = 146°

Answer:

1. Three fourths

2. 3/4

3. 0.75

4. 75%

Step-by-step explanation:

i dont know which one you want

Answer:

.75

Step-by-step explanation:

3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75

Answer:

Step-by-step explanation:

Thats what i got but you still have to do the other 2 steps i am not sure how, but i hope that helps!

Answer:

The pythagorean theorem is a^2 + b^2 = c^2

Step-by-step explanation:

Not sure what you're asking! Sorry! :)

Answer:

c

Step-by-step explanation:

Answer: x = 8 y = 4 or C

Step-by-step explanation:

Answer:

The total area is 594cm.²

Step-by-step explanation:

The top and bottom each have a length of 36 cm.

Blue side:

36/3= 12cm. (36/3 for the length of one side of a blue square)

12*12= 144cm.² (area of one blue square)

144*3= 432cm.² (area of all the blue squares)

Orange side:

36/8= 4.5cm. (the length of one side of an orange square)

4.5*4.5= 20.25cm.² (the area of one orange square)

20.25*8= 162cm.² (the area of all the orange squares)

Total area:

432+162= 594 cm.²

I hope this makes more sense, have a great day :D

Answer:

$ 22.5

Step-by-step explanation:

B(x) = 30.50 - 0.20x

Notice that x defines the number of prints.

For prints = x = 40

B(40) = 30.50 - 0.20(40)

B(40) = 30.50 - 8

B(40) = 22.5

Remaining amount is $22.5

B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.

That's why the function is 30.50 - 0.20x.

Where x is the nunber of times you spend(buying prints)

Answer:

120

Step-by-step explanation:

20 * 5 = 100 so we multiply 24 by 5 and that equals 120

Step-by-step explanation:

A. x^2-9x+18

B. x^2-8x+16

C. 2x^2-5x-12

D. 12x^2-31x+7

Answer:

113°

Step-by-step explanation:

triangles add up to 180°

180° - 34° - 33° = 113°

==============================================

Explanation:

For any triangle, the three interior angles must add to 180 degrees

34+33+x = 180

x+67 = 180

x = 180-67 ... subtract 67 from both sides

x = 113

This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).

Answer:

3/5

Step-by-step explanation:

both 6 and 10 divide by 2. divide each number by 2 and you get 3/5

Answer:

3/5

Step-by-step explanation:

To find the simplest form of 6/10, you must reduce the fraction.

I did this by dividing both the numerator and denominator by 2, therefore making it 3/5, (because it cannot be reduced evenly anymore).

Hope this helps :)

Answer:

x= 8/9

Step-by-step explanation:

You must divide 8/21 & 3/7 As a fraction.

Answer:

8

Step-by-step explanation:

Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.

Hope that this helps!

Answer:

I. x=8

Step-by-step explanation:

lines form 180° angles so

140 +5x= 180 ; subtract 140 from both sides

5x= 180-140; divide both sides by 5

x= 40/5 = 8