Water flows through a pipe at a rate of 0.12 litres per second.
How many seconds would it take for 30 litres of water to pass through the
pipe?
If your answer is a decimal, give it to 1 d.p.

Answer:diagonals of rectangle are equal in length while diagonals of a parallelogram can be different lengths

Step-by-step explanation:

What is true of a rectangle that is not true of a parallelogram is that; the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.

We are dealing with rectangles and parallelogram here.

Now, both rectangle and parallelogram have 4 sides respectively with 2 of the sides being equal.

Now, for a rectangle, the diagonals are always equal because all the internal angles are equal.

However, for a parallelogram, all the internal angles are not equal and as such the diagonals are also not equal.

In conclusion, what is true of a rectangle that is not true of a parallelogram is that the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.

Read more about diagonals of Quadrilaterals at; https://brainly.com/question/25806235

Answer:

61.4°

Step-by-step explanation

Given

Length of the ramp = 23ft = hypotenuse

Base of the ramp = 11ft = Adjacent

Required

Angle of elevation x

Using the SOH CAH TOA identity

Cos theta =adj/hyp

Cos x = 11/23

Cos x = 0.4782

x = arccos0.4782

x = 61.42°

Hence the angle of elevation is 61.4°

Answer:

Probability [selected donuts a jelly-filled donut] = 2 / 23

Step-by-step explanation:

Given:

Total number of donuts = 92

Number of jelly-filled donuts = 8

Find:

Probability [selected donuts a jelly-filled donut]

Computation:

Probability [selected donuts a jelly-filled donut] = Number of jelly-filled donuts / Total number of donuts

Probability [selected donuts a jelly-filled donut] = 8 / 92

Probability [selected donuts a jelly-filled donut] = 2 / 23

Answer:

Step-by-step explanation:

value of 6n-2 when n=3 is 6(3)-2 = 18-2 = 16

Answer:

The amount of money they will spend at the restaurant is $35.16

Step-by-step explanation:

From the information given in the question, we have;

The amount Jessica, Genesis, and Violet received as bill at the restaurant, X = $29.30

The amount they wished to leave as tip, T = 20% (of the bill)

Therefore, the amount of money they will spend at the restaurant, 'A', is given as follows;

A = X + T

T = 20% of X = 20/100 × X = 0.2·X

∴ A = X + 0.2·X = 1.2·X

X = $29.30

A = 1.2·X = 1.2 × $29.30 = $35.16

The amount of money they will spend at the restaurant, A = $35.16

The probability of rolling a 3 the first time is 1/6.

The probability of rolling an even number is 1/2.

Answer:

○ [tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{f(x) = 10sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) + 10} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{2}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]

The cosine graph in the photograph on the right is the OPPOCITE of the cosine graph in the photograph on the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**Moreover, both graphs have the same maximum and minimum value, but we are looking for the equation that will not reflect over the midline of [tex]\displaystyle y = 10,[/tex]which means we do NOT want a negative in front of the amplitude value, therefore we have this equation:

[tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]

If you are having trouble figuring out which graph is which, just remember that the parent function of [tex]\displaystyle y = cos\:x[/tex]never touches the origin unless it shifts one unit south or gets reflected from somewhere. In this case, the photograph on the left touches the origin because of a reflection [negative symbol], therefore the photograph on the right matches the equation selected.

I am delighted to assist you at any time.

The correct function is,

⇒ y = 10 cos (π/2x) + 10

A relation between a set of inputs having one output each is called a function.

Given that;

A cosine function has a period of 4.

Since, The period is 4.  

Hence, The relationship between period and b (the coefficient of the independent variable of the cosine function) is, (period) =(2π/b).  

Hence, We get;

⇒ 4b = 2π

⇒ b = 2π/4

⇒ b = π/2

So, Now our equation y = a cos (bx) + c becomes as;

⇒ y = 10 cos (π/2x) + 10

Thus, The horizontal center line of this cosine curve is y = 10.  The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.

Learn more about the function visit:

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Answer:

View Picture

Step-by-step explanation:

Answer:

She earns $0.5 per hour

Step-by-step explanation:

mark brainliest

_____ earns $23.4 per hour, $.1 less than ___

Answer:

-2(x+4)(x+2)

Step-by-step explanation:

thats the answerer

Answer:

28. x(x+2)(x+5)

29. 2(2x+1)(x-2)

30. y(a+5)^2

Step-by-step explanation:

30. y(a+5)(a+5)

Answer:

235 sq. cm

Step-by-step explanation:

Split into three different shapes

18*3=54

15*6=90

13*7=91

54+90+91=235

Answer:

>

Step-by-step explanation:

open means its not equal to and it pointing to the right so your inenquality has to point to the right

Answer:

slope is -3

y-intercept is -2

Step-by-step explanation:

put into slope-intercept form which is y = mx + b where 'm' is slope and 'b' is the y-intercept

12x + 4y = -8

4y = -12x - 8

y = -12/4x - 8/4

y = -3x - 2 (simplified)

Answer:

Step-by-step explanation:

c(f) = [tex]\frac{5}{9}(f-32)[/tex]

[tex]-21 = \frac{5}{9}(f-32)[/tex]

Multiply both sides by 9

-21*9 = 5(f - 32)

-189 = 5*f - 5*32

-189 = 5f - 160

Add 160 to both sides

-189 + 160 = 5f

-29  = 5f

Divide both sides by 5

-29/5 = f

f = -5.8

f = -6 °C

Answer:

21 + 19 + x

40 + x

Step-by-step explanation:

well you would just add up 21 + 19 + x. that would be 40 + x. That would be the number of miles

Answer The small triangles each have an area of 12m^2 and the big rectangle had an area of 80m^2. This would mean that the combined area is 104m^2

Step-by-step explanation: The rectangle shape can be found by multiplying 8 by 10 to get 80m^2. The two triangles can be found by multiplying 4 (half of 8) by 6 and then dividing it by two. This would mean that the small triangles each have an area of 12.

Answer:

infinite

Step-by-step explanation:

you could say 1/1 or 4/4 or 146798245/146798245

any number over itself is a whole

Does that answer it? I feel like I'm missing something

Answer:

Any

Step-by-step explanation:

You can write one whole by making the numerator and denominator the same number. Examples:      2/2      3/3      4/4      5/5      6/6      7/7      8/8      9/9     10/10      100/100      20/20

Answer:

The appropriate test for the investigation is;

E. A chi-square test of independence

Step-by-step explanation:

The chi-square test for independence is for the analysis of two categories from within a population to evaluate the existence of association among the different categories within the two variables

The chi-square test for independence is used for the analysis of contingency (frequency) table

Therefore, the appropriate test for the investigation in finding out (1) the textbook preference and (2) the class level of the associated student is the chi-square test of independence

Answer:

49

Step-by-step explanation:

3500 divided by 5 equals 700

700 times 7% equals 49

Answer:

-7,3

Step-by-step explanation:

look at the pictire

Answer:

A

Step-by-step explanation:

-4(x^2+14x+49)-6

-4x^2-56x-196-6

-4x^2-56x-202

Answer:

F(x)=-4x^2 - 56x - 202

Step-by-step explanation:

Answer:

Step-by-step explanation:

3. Area = pie r2

A = (22/7) (4)2

= 50.27

4. Circumference = pie d

C = (22/7) (13)

= 40.84

Answer:

D) 7.1 units³

Step-by-step explanation:

V = (3.14)(1.5)²(3/3)

= (3.14)2.25 = 7.1

Answer:

102 cm2

Step-by-step explanation:

First you want to find the area of the entire rectangle by multiplying the 2 sides.

20cm x 6cm = 120

Then you want to find the area of the other two shapes (in this case the square and triangle). Also use the other sides to find the lengths of the triangle.

Square = 3 x 3 = 9

triangle = 6 x 3 = 18 / 2 = 9

So then all you have to do is subtract the squares and triangles area from the total rectangle.

120 - (9 + 9)

120 - 18

102 cm2

Hope this helps! Feel free to message me for anymore help!

Answer:

help you

Step-by-step explanation:

I will help you on somethings

Answer: Life is not fair isn't it ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation of a straight line is,

y = -4 - 2x

Domain of the line (x) → {-3, -2, -1, 0, 1}

Therefore, range for the given set of domain will be,

Range (y) → {2, 0, -2, -4, -6}

[By substituting the value of x in the given equation we get the value of y]

Set of scatter points are,

(-3, 2), (-2, 0), (-1, -2), (0, -4), (1, -6)

Now we plot these points to get the discrete graph as attached.