Find the volume of the pyramid below.

The gradient of a line which perpendicular to C is -3/2

The gradient of a line shows how steep it is. Gradient is also called the slope of a line.

Let's use the fact that the product of the gradients of two perpendicular lines is -1 to determine the gradient of a line perpendicular to line C.

We can determine the gradient of the line perpendicular to C if the gradient of line C is 2/3.

Take the negative reciprocal of the gradient, we have;

-3/2

Since the negative reciprocal of 2/3 is -3/2.

Therefore, the gradient of the line perpendicular to C is -3/2.

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Answer:

the answer is 21.6%

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

32/48= 16*2/16*3= 2/3

Answer:

She made [tex]18\frac{1}{15}[/tex] cups of lemonade in total.

Step-by-step explanation:

A fraction contains a numerator(upper value) and denominator(lower value). The total cup of lemonade that Beatrice made is 25 1/3.

A fraction contains a numerator(upper value) and denominator(lower value).

When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction.

A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

Given that Beatrice made lemonade twice, first, she made 7 2/3 cups of lemonade and in the second turn, she made 10 3/5 more cups of lemonade. Therefore, the total cups of lemonade that Beatrice made is,

Total cups of lemonade = 7 2/3 + 10 3/5

= 23/3 + 53/5

= (23×5 + 53×3)/(3×5)

= (115 + 265)/15

= 380/15

= 25 5/15

= 25 1/3

Hence, the total cup of lemonade that Beatrice made is 25 1/3.

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Answer:

h≤18

Step-by-step explanation:

Step  1  :

Solve Basic Inequality : 1.1      

Add  18  to both sides h ≤ 18

Inequality Plot

Inequality plot for

        h  - 18.000  ≤  0

Answer: h≤18

Hope this helps.

Answer:

(2,-1)

Step-by-step explanation:

Multiply the original coordinates by 1/3

Answer:

b

Step-by-step explanation:

Answer:

a = 20.79cm ( 2 decimal places)

Step-by-step explanation:

find the length of the identical sides (i name it "x") first using Pythagoras theorem

[tex]14.8^{2}[/tex] = [tex]x^{2} + x^{2}[/tex]

219.04 = [tex]2x^{2}[/tex]

[tex]x^{2}[/tex] = 219.04/2 = 109.52

x = [tex]\sqrt{109.52}[/tex]

now find a,

[tex]a^{2}[/tex] = [tex](\sqrt{109.52}) ^{2}[/tex] + [tex](7.5 + \sqrt{109.52}) ^{2}[/tex]

[tex]a^{2}[/tex] = 109.52 + 322.7477 = 432.2677

a = [tex]\sqrt{432.2677}[/tex] = 20.791048

Answer:

as X > infinity then y>-infinity

Answer:

Both of them are negative infinity

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

Using cosine formula:

AB^2 = AC^2 + BC^2 - 2*AB*BC*cosC

AB^2 = 15^2 +12^2 -2*15*12*cos60

AB = 13.7 in

Answer:

A worker bee has a mass of \,1\cdot{ 10^{-4}}1⋅10  

−4

1, dot, 10, start superscript, minus, 4, end superscript \text{kg}kgstart text, k, g, end text. There are 4\cdot{ 10^4}4⋅10  

4

4, dot, 10, start superscript, 4, end superscript worker bees living in one hive.

What is the mass of all the worker bees in the hive together?

Write your answer in scientific notation.

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

A=bh

A=15×10

A=150

Answer:

150

Step-by-step explanation:

it is just like finding the area of a rectangle! 10*15=150

Answer:

v = -16

Step-by-step explanation:

→Distribute the 5 to (-7v - 11):

14 - 10v + 11 = 20v - 35v - 55

→Add like terms:

25 - 10v = -15v - 55

→Add 15v to both sides:

25 + 5v = -55

→Subtract 25 from both sides:

5v = -80

→Divide both sides by 5:

v = -16

Answer:

[tex] \boxed{v = - 16} [/tex]

Step-by-step explanation:

[tex] = > 14 - 10v + 11 = 20v + 5( - 7v - 11) \\ \\ = > 14 + 11 - 10v = 20v + (5 \times ( - 7v)) - (5 \times 11) \\ \\ = > 25 - 10v = 20v - 35v - 55 \\ \\ = > 25 - 10v = - 15v - 55 \\ \\ = > 25 - 10v + 15v = - 55 \\ \\ = > 25 + 5v = - 55 \\ \\ = > 5v = - 55 - 25 \\ \\ = > 5v = - 80 \\ \\ = > v = - \frac{80}{5} \\ \\ = > v = - 16[/tex]

Answer:

£320

Step-by-step explanation:

Using proportion,

If 110% =  £352

100% = ?

= [tex]\frac{100}{110} * 352[/tex]

= £320

If Smiths holiday costs is 352 pounds including 10% flight tax then the tickets were of 320 pounds.

It is a number or ratio expressed as a fraction of 100.It is expressed by % sign.

We have been given that the total cost of Smith's holiday tickets is 352 pounds and it includes 10% flight tax. then the tickets before the flight tax can be calculated as under:

let the cost before flight tax be x.

x+ x*10%=352

x+10x/100=352

110x/100=352

110x=35200

x=35200/110

x=320

Hence if total cost is 352 pounds and it includes 10% flight tax then the cost of ticket before tax is 320 pounds.

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Answer:

1. 2

2. -44

3. -4

Step-by-step explanation:

idk how to explain i used a calculator sorry if im wrong

1) 180 square cm

Answer:

2) 41 cubic cm

Step-by-step explanation:

1)

Area of pool = 12 * 15 = 180 square cm

2) Volume of water = 1/3 * Volume of pool

= 1/3 *123

= 41 cubic cm

Answer:

75

Step-by-step explanation:

It's D on edg

The number of minutes it take Arnob to catch up to Kathleen is 75 minutes.

Given:

Mile head start=5 mile

Distance along y-axis=2 lines

Hence:

y=1/15x+5

=y=2/15x

So,

1/15x+5=2/15x

1/15x=5

x=75 minutes

The correct option is D.

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Answer:

The answer would be 18

Step-by-step explanation:

the formula for area of a triangle is 1/2b*h

so would mulitply 3*3 and get 9/2 which would be 4.5 do that on the otherside and you would get 4.5 again add together and you would get 9

for the square you would calculate the area by multplying b*h to get 9 so 9+9=18

Answer:

(-1/2, -1/8)

Step-by-step explanation:

I graphed it and (-1/2, -1/8) is the only point that lands on the graph.

Answer:

2482

Step-by-step explanation:

Because this sequence starts with -13 and adds 5 each time, the 500th term will be 5(499)-13=2482. Hope this helps!

Answer:

2482

Step-by-step explanation:

Answer:

=

−

1

2

×

3

2

=

1

×

9

=

9

Step-by-step explanation:

f

(

−

3

)

=

9

Explanation:

f

(

x

)

=

x

2

To find f(-3) replace

x

in the function by

−

3

Therefore:

f

(

−

3

)

=

(

−

3

)

2

=

−

1

2

×

3

2

=

1

×

9

=

9

Answer:

9

Step-by-step explanation:

f(x) = x²

f(-3) =(-3)² = (-3)*(-3) = 9

Answer:

You have the right answer.

Step-by-step explanation:

The image might be blurry but its the best I can post.

That's solving it without the x and y values. Its still the answer you picked.

Hope this helps, have a good day! :)

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Answer:

5√xy

Step-by-step explanation:

√25x²y²/√xy= √25x²y²/xy= √25xy= 5√xy

to do this all you have to do is make the denominator 1 and the numerator should be 1.566666667

Answer:

C

Step-by-step explanation:

This is a function because it is a standard quadratic equation, meaning it is a parabola that opens up so it passes the vertical line test.

Answer:

C

Step-by-step explanation:

It is a quadratic equation. This means it is a parabola that opens up so it does pass the vertical line quiz.

Answer:

The perpendicular line has a slope of -2/3

Step-by-step explanation:

Perpendicular lines have a slope that multiplies to -1

3/2 * m = -1

Multiply each side by 2/3

3/2 * 2/3 *m = -1 * 2/3

m = -2/3

Answer: -2/3

Step-by-step explanation: The key to understanding this problem is to understand what it means when slopes are perpendicular.

To most students, perpendicular lines are simply

lines that meet  at a 90 degree angle.

However, when dealing with these kinds of problems, it's important

to think about perpendicular lines in terms of their slopes.

As a rule, the slopes of two perpendicular

lines are always negative reciprocals.

So if we know that the slope of one line is 3/2, we can find the slope of the other line by finding the negative reciprocal of 3/2.

So we take the fraction and flip it, then we change the sign.

So the negative reciprocal of 3/2 is -2/3.

Answer:

The measurement of the other parallel side which is the base of the parallelogram is 4.3 m

Step-by-step explanation:

Mathematically, the area of a trapezoid can be calculated using the formula below;

A = 1/2 (a + b) c

where a and b are the parallel sides and c is the height

We have one parallel sides and the height including the value of the area

Let’s say A = 13

a = 2.2m

h = 4.0 m

Plugging these values, we have;

13 = 1/2(a + 2.2) 4

26 = 4(a + 2.2)

26 = 4a + 8.8

26-8.8 = 4a

4a = 17.2

a = 17.2/4

a = 4.3 m

Answer:

x^2+x+3

Step-by-step explanation:

y=x-7

x-7=x^2+2x-4

x^2+2x-4-x+7

x^2+x+3

Answer: x-7=x^2+2x-4

A P E X

Step-by-step explanation:

but also, if you are wondering how I got to that answer, you substitute y in for the y equation. Since y=x-7 you’ll take that why and put in in the y in (y)=x^2+2x-4.