PLEASE ANSWER !!!
What is the volume of water, to the nearest tenth of a cubic metre, that would fill this spa
tub?

Answer:

833.3 ft^3

Step-by-step explanation:

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

((12.5)(12.5)(16))/3

((156.25)(16))/3

2500/3

833.3 ft^3

Hope this helps (●'◡'●)

The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that,

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

=((12.5)(12.5)(16))/3

=((156.25)(16))/3

=2500/3

=833.3 ft^3

Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

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#SPJ2

Answer:

9/25

Step-by-step explanation:

Number of student who has cat , dog = 25 - 3 = 22

Number of students who has cat and dogs = (15 + 16) - 22

                                                                       = 31 - 22 = 9

Number of students who has only cats = 15 - 9 = 6

Number of students who has only dogs = 16 - 9 = 7

P(Cat & dog) = 9/25

Answer:

15.30 feet

Step-by-step explanation:

The ladder creates a right triangle with the wall and the ground. Because sine is the opposite divided the hypotenuse:

[tex]sin(73^{o}) = \frac{x}{16}[/tex] where x is the wall height that the ladder reaches.

Multiply both sides by 16 we get:

[tex]x = 16{sin(73^{o})}[/tex]

Using the calculator, we can get 15.30

The height up to which does the ladder reach will be equal to 15.30 feet

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

The ladder creates a right triangle with the wall and the ground. Because sine is the opposite divided the hypotenuse:

[tex]\rm Sin 73=\dfrac{x}{16}[/tex]

where x is the wall height that the ladder reaches.

Multiply both sides by 16 we get:

[tex]x=16 Sin 73=15.30[/tex]

Using the calculator, we can get 15.30

To know more about Trigonometry follow

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Answer: 4 8×8= 64 half the base which is 8 =4

Step-by-step explanation:

Answer:

height = 8 m

base = 16 m

Step-by-step explanation:

Let base = 2x m

So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]

Area = 64 m²

[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]

 x * x = 64

x * x = 8 * 8

x = 8 m

Base = 2x = 2*8 = 16 m

y = 4x

since x is the number of tickets, and each ticket costs 4, you just have to multiplicate the number of tickets by the value and you'll get the total, expressed as y.

hope it helps :)

Answer:

The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD)   because the measure of an intercepted arc is equal to the measure of its corresponding central angle.

Explanation:

sample answer from edmentum

Answer:

This only has answer 1. these proofs are really long, so hard to fit them all in one answer.

Step-by-step explanation:

[tex]cos^2A+sin^2A=1\\[/tex] : Will be used very often so just remember this equality.

1. Multiply [tex](1+SinA)*\frac{CosA}{1-SinA} +\frac{CosA}{1+SinA} *(1-SinA)=2secA\\[/tex]

When we factor out the terms, we are left with:

We then use the rule above and convert it to [tex]cos^2A[/tex]:

Answer:

Step-by-step explanation:

Attached

Answer:

Step-by-step explanation:

Answer:

I D K u tell me

Step-by-step explanation:

this is what u answersed another he/she question repeating u

Answer:

SHEEESSHHHHHHHHHH

Step-by-step explanation: life goes around and around

Answer

a^1=-2,5

a^n=a×a^n-1

Answer:

69

Step-by-step explanation:

1234567890

Answer:

perpendicular bisector

Step-by-step explanation:

Answer:

3.32 g

Step-by-step explanation:

1.10

2.22  

---------

3.32

(As both the numbers, have the same number of digits, you just need to add them like you do normal addition)

Answered by Guathmath

Answer:

10:15:6

Step-by-step explanation:

let 3A=2B=5C

then,A=1/3,B=1/2,=1/5

therefore:A:B:C=1/3,1/2,1/5

10:15:6/30=10:15:6

Answer:

151,031

Step-by-step explanation:

If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:

[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.

Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:

[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]

Therefore, in 5 years, the population should be 151,031.

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

Explanation:

Unfortunately your teacher is a bit vague here, but I'm assuming that the roots listed in the table are the only roots (and there aren't any other roots possible). If other roots were possible, then we'd have infinitely many possible answers and it would greatly muddy up the problem.

So we'll just stick to the basic assumption that the only roots are: -2, 0, and 2.

With that key assumption in mind, let's look at the answer choices to see which are true and which are false.

From that list above, we see that choices B, D and E are true.

Here, we may use Geometric Progression

The sequence follows as:

27, 18,12,...

The first term (a)= 27

27/18 = 18/12

common ratio = 1.5

Let fourth term be x

Therefore , 12/x = 1.5

=> x= 12/1.5 = 8

Answer:

8

Step-by-step explanation:

Let,

t1 = 27

t2 = 18

t3 = 12

t2 / t1

= 27 / 18

= 3 / 2

t3 / t2

= 18 / 12

= 3 / 2

Common ratio = 3 / 2 = 1.5

t4 = t3 / 1.5

= 12 / 1.5

= 12 x 2 / 3

t4 = 8

For each peak, the ball decreases it's height from the ground by 1 / 1.5 times, Using sequence, we can find the height of ball from the ground for different levels of peaks.

Answer:

3 to 12 reduced 1 to 4

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

FOIL:  [tex]9x^2 +30xy + 25y^2[/tex]

(3x + 5y)(3x+5y)

F: 3x*3x

O: 3x*5y

I: 5y*3x

L: 5y*5y

[tex]9x^2 +30xy + 25y^2[/tex]

Step-by-step explanation:

Answer:

slope=1

point=(1,4)

Step-by-step explanation:

y-y1=(x-x1)m

From comparison

m=1

y1=4

x1=1

Answer:

The slope of the line is m = 1/2

A point on the line is (1,4)

Step-by-step explanation:

Got it right on Edge :)

Answer:

" because the coefficient of the x^2 term is less than 1 (between -1 and + 1)  

y = x^2 looks like a big U with the vertex (bottom) "kissing" the origin (0,0)

if you add 1 to the equation y = x^2 + 1 it shifts UP one  

if you subtract 3 y = x^2 -3 it shifts down three ....

if you change it to look like this y = (x+4)^2 it shifts (slides) to the LEFT 4 units..

note that this slide is opposite to the sign + 4 left slide , - 4 right slide...

NOW YOUR QUESTION !!!! if the coefficient is > 1  

y = 99 x^2 then the graph gets "skinny" goes up faster...

if it is less than one (between -1 past 0 to +1 ) then it flattens out

Bottom line here your coefficient is a "-1/2"  

so YOUR GRAPH IS A ∩ (goes downward) and is FLATTER than the normal ∪

I hope that this helps

Step-by-step explanation:

Answer:

x > 24

Step-by-step explanation:

- 1/2 x < -12

Multiply each side by -2, remembering to flip the inequality

-2 * -1/2x > -12 *-2

x > 24

Answer:

[tex]x > 24[/tex]

Step-by-step explanation:

[tex] - \frac{1}{2} x < - 12 \\ x < - 12 \times 2 \\ - x < - 24 \\ x > 24[/tex]

Answer:

JL = 16x-2

Step-by-step explanation:

From the diagram, we can see that;

JL = JK + KL

Thus;

JL = 9x-5 + 7x + 3

JL = 9x + 7x -5 + 3

JL = 16x -2

she slept at 9:35 am

hope it helps :)

Answer:

C

Step-by-step explanation:

C because it has sides unequal in length.

Answer: C

Step-by-step explanation:

Isosceles: 2 sides equal

Acute: angles are less than 90 degrees

Scalene: All side lengths are different

Equilateral: All sides are equal

Answer:

-10

Step-by-step explanation:

Inverse equation: x= -13y +52

simplify: y=-1/-13x + 4

Plug in for x: y= 1/-13 (182) +4

=   -10

Answer:

y = -10

Step-by-step explanation:

x = -13 y + 52

y = (x - 52)/-13

~~~~~~~~~~~~~~~~~~

y = (182 - 52)/-13

y = -10