A room in the shape of a cube has a floor area of 20.25 square metre what is its height ? what is its volume ? ​

Answer:

6.71cm

Step-by-step explanation:

a²+b²=c²

6²+3²=x²

sqrt(6²+3²)=6.71

Answer:

[tex]\Large \boxed{\sf 6.71 \ cm}[/tex]

Step-by-step explanation:

The triangle is a right triangle. We can use Pythagorean theorem to solve for the hypotenuse.

a² + b² = c²

a and b are the lengths of the legs. c is the length of the hypotenuse.

6² + 3² = x²

Evaluate.

36 + 9 = x²

45 = x²

Take the square root of both sides.

√(45) = √(x²)

6.7082039325... = x

Answer:

a=6.25 unit^2

Step-by-step explanation:

Given:

A=30°

b=5

c=2½

Required:

a=?

Formula:

a=½b*h

Solution:

a=½b*h

=½5*2½

=½*5*5/2

=0.2*5*5/2

=2.5*5/2

=2.5*2.5

=6.25 unit^2

Hope this helps ;) ❤❤❤

Answer:

The answer is B or 3 1/8

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Correlation Coefficient (r) = 0.989

alph=0.05

Number of observations (n) = 8

determine if there is a linear correlation between chest size and weight.

Yes, there exists a linear relationship between chest size and weight as the value of the correlation Coefficient exceeds the critical value.

What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?

To determine the the proportion of variation in weight that can be explained by the linear regression line between weight and chest size, we need to obtain the Coefficient of determination(r^2) of the model.

r^2 = square of the correlation Coefficient

r^2 = 0.989^2 = 0.978121

Hence, about 0.978 (97.8%) of the variation in weight can be explained by the linear relationship between weight and chest size.

Answer:

C

Step-by-step explanation:

Okay, here we have a reduction in the number of students by 20% from 2010 to 2011.

In 2011, we had k students, so we want to calculate the number of students we had in 2010.

Let the number of students present in 2010 be x

So mathematically;

x - 20% of x = k

x - 0.2(x) = k

0.8x = k

x = k/0.8

x = k * 1/0.8

x = k * 1.25

x = 1.25k

Step-by-step explanation:

Sum means adding of numbers

Product means multiplying the numbers

Difference means minus two numbers

First number is 2 and other number is 9.

Sum of 2 and 9 = 2+9 = 11

Product of 2 and 9 = 2×9 = 18

Difference between 2 and 9 = 9-2 = 7

Hence, this is the required solution.

Answer:

....the answer is 682.5

Answer:

The answer is 702. Hope it helped! :D

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

slope: (y² - y¹) / (x² - x¹)

(-1 - 1) / (1 - 0) = -2 / 1 = -2

y = -2x + b

plug in an (x, y) value to find b

1 = -2(0) + b

1 = -2 + b

b = 3

y = -2x + 3

rate of change is -2

Answer:

-2

Step-by-step explanation:

Answer:

C) 3x - 4y = 7

Step-by-step explanation:

The midpoint of AB is

M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)

Line AB has slope:

(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3

Slopes of perpendicular lines are negative reciprocals.

A perpendicular to line AB has slope 3/4.

The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.

[tex] y - y_1 = m(x - x_1) [/tex]

[tex] y - (-1) = \dfrac{3}{4}(x - 1) [/tex]

[tex] y + 1 = \dfrac{3}{4}(x - 1) [/tex]

[tex] 4y + 4 = 3(x - 1) [/tex]

[tex]4y + 4 = 3x - 3[/tex]

[tex]3x - 4y = 7[/tex]

Answer:

C

Step-by-step explanation:

Segment joining a and b

m = 8/(-6) =-4/3

For that of the perpendicular bisector...

m = 3/4

Midpoint of Segment joining a and b

([-2+4]/2 , [3-5]/2)

=(1, -1)

y=mx+c

-1=(3/4)(1)+c

c= -7/4

y=3x/4 - 7/4

4y=3x - 7

3x-4y = 7

Answer:

Evaluate each expression inside both grouping symbols, then multiply the result.

Step-by-step explanation:

[tex]\displaystyle (3 - 1)(4 + 2) = (2)(6) = 12[/tex]

G - Grouping Symbols

E - Exponents

M\D - Division & Multiplication [left to right]

S\A - Subtraction & Addition [right to left OR vice versa]

I am joyous to assist you at any time.

Answer:

-11 - 5z = 6(5z + 4)

-11 - 5z = 30z + 24

-35 = 35z

z = -1

0 = -5y - 2y

5y = -2y

5 = -2

no solutions

Answer:

15

Step-by-step explanation:

Aaron and his 2 friends = 3 people

Each received $5.00 = 3 people*5 each = 15 total

Answer:

The first one is the only function

Step-by-step explanation:

You cannot have points on the same y gridline

If it is a function is has to pass the pencil test

Answer:

[tex]\boxed{Graph A.}[/tex]

Step-by-step explanation:

Hey there!

Well graph A is correct because if you do the vertical line test which decides is the graph is a function or not you can see that all the graph expect A have the vertical line go through 2 points.

Hope this helps :)

Hey there! I'm happy to help!

PART A

Let's look at our two equations.

y=3x-5

y=6x-8

We will solve this with substitution because we have two different values for y, so it will be be very easy to substitute.

We know that y is equal to 6x-8. This means that we can replace the y in the first equation with 6x-8 and then solve for x.

6x-8=3x-5

We add 8 to both sides.

6x=3x+3

We subtract 3x from both sides.

3x=3

We divide both sides by 3.

x=1

We can plug this x-value into either of our equations to figure out what y is.

y=6(1)-8

y=6-8

y=-2

Therefore, our solution is x=1 and y= -2.

PART B

When graphing the two equations in a systems of equation, the point where they intersect is the solution. We already have our solution, so now we will just write it as a point, which is (1,-2).

Have a wonderful day! :D

Answer:

see below

Step-by-step explanation:

y = 3x − 5

y = 6x − 8

I will use substitution by substituting for y in the first equation

y = 3x − 5

6x -8 = 3x-5

Subtract 3x from each side

6x-3x -8 = 3x-5-3x

3x-8 = -5

Add 8 to each side

3x-8+8 = -5+8

3x =3

Divide by 3

3x/3= 3/3

x =1

Now find y

y = 3x − 5

  = 3(1) -5

  =3-5

  = -2

( 1,-2)

The two lines will intersect at ( 1,-2)

The solution to the two equations is where the lines intersect.

Answer: First degree equation

Step-by-step explanation:

For each hour from 5pm , the temperature decreases 5F. So, let the variation of time t , the constant -5, and the final temperature, T:

T=5t-5 .: for 5pm , variation is 0,so T in F is -5.

Answer:

probably First degree equation

Step-by-step explanation:

Answer:

2/3 ÷ 1/6

I hope this helps.

Answer:

x=0

Step-by-step explanation:

in the quadratic formula to only have one solution

[tex]b^{2} -4ac=0[/tex] for [tex]ax^2+bx+c=0[/tex]

so we have

[tex]ax^2+b=c[/tex]

[tex]ax^2+(b-c)=0[/tex]

if we insert in the formula we have

[tex]0^2-4(a)(b-c)=0\\\\-4ab+4ac=0\\\\4ac=4ab\\\\\frac{4ac}{4a} = \frac{4ab}{4a}\\\\c=b[/tex]

[tex]ax^2+b=c\\\\ax^2=b-b\\\\ax^2=0[/tex] since a≠0

[tex]\frac{ax^2}{a}=\frac{0}{a} \\\\x^2=0\\\\x=0[/tex]

Answer:

17/6

So this is the answer. If you want to convert to decimal... The answer will be 2.83..hope it is right

Answer:

7

Step-by-step explanation:

If we call the number of worms in a can x, we can write:

4x + 3x + 2 + 2x = 65

9x + 2 = 65

9x = 63

x = 7 worms

Answer:

Z=101

Step-by-step explanation:

A=2

B=3

C=5

D=7

E=11

F=13

From the above illustration, it can be deduced that A to Z represent prime numbers in ascending order.

Prime numbers are natural numbers that are greater than 1 and are only divisible by 1 and itself.

Therefore,

G=17

H=19

I=23

J=29

K=31

L=37

M=41

N=43

O=47

P=53

Q=59

R=61

S=67

T=71

U=73

V=79

W=83

X=89

Y=97

Z=101

Answer:

B. There are two distinct rational solutions

Step-by-step explanation:

x^2 -1 = 24

Add 1 to each side

x^2 -1+1 = 24+1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

Answer:

B.

Step-by-step explanation:

x^2 - 1 = 24

x^2 = 25

Taking the square root of both sides:

x = -5, 5.

2 distinct rational solutions.

Answer:(x,z)=(5,-3)

Step-by-step explanation:

Given

We move  5 units in x-axis

3 units in downward along z-axis

Suppose a z-axis is vertical and x -axis is horizontal as shown in fig.

So, coordinates after movement is given by the movement along x-axis and z-axis.

So, final coordinates is (5,-3) in x-z Plane .

As there is no movement in z-axis , so Y-coordinate will remain zero.

Answer:

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Step-by-step explanation:

first see te interest :

A=prt   (p is the deposited amount, r is the rate ,  t is the time)

A=734.62 *(2.6/100)* 7

A=133.70084

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Answer:

$868.32

Step-by-step explanation:

First you need to multiply 734.62 by 2.6%.

734.62 x 0.026 = 19.1

Then we need to multiply that by 7 (because 7 years).

19.1 x 7 = 133.7

Then add that to the initial deposit.

734.62 + 133.7 = 868.32

So after 7 years in a savings account your $734.62 would become $868.32.

Answer: 0.26

Step-by-step explanation:

As per given , we have

P(green tail) = 0.36

P(red fins) = 0.59

P(both a green tail and red fins ) = 0.21

Now, P(Neither red fin nor green tail )= 1 - P(either red fin or green tail )

[P(neither A nor B)= 1- P(either A or B)]

= 1-(P(green tail) +P(red fins)+P(both a green tail and red fins ))

[P(A or B)= P(A)+P(B)-P(A and B)]

= 1- (0.36+0.59-0.21)

= 1-(0.74)

= 0.26

Hence, the probability that the selected fish will not have a red fin or a green tail = 0.26

Answer:

The anwser is C) C < 4

......... .

The vertical lines on each side of the x mean it is the absolute value of x.

Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.

The answer is B.

There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.

Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

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Answer:

+5

Step-by-step explanation:

So you can see the 5 pattern, so you add 9+5= 14 which goes in the middle square and 14+5=18 in the left square

Now between 18 and 11 it is 7 so you subtract 7 which equals 4 then - 5= -1 then -5= -6

Answer:

4  5  9

11  6  1

3  7  8

Step-by-step explanation:

In a magic square, all rows, columns, and diagonals have the same sum.

Let's call the cells a - i this way:

a  b  c

d  e  f

g  h  i

Now lets's fill in what we have:

a  b  9

11  6  1

g  h  i

2nd row: 11 + 6 + 1 = 18

3rd column: 9 + 1 + i = 18; i = 8

a  b  9

11  6  1

g  h  8

Main diagonal: a + 6 + 8 = 18; a = 4

4  b  9

11  6  1

g  h  8

1st row: 4 + b + 9 = 18; b = 5

4  5  9

11  6  1

g  h  8

1st column: 4 + 11 + g = 18; g = 3

4  5  9

11  6  1

3  h  8

2nd column: 5 + 6 + h = 18; h = 7

4  5  9

11  6  1

3  7  8

Answer:

300 liters

Step-by-step explanation:

If he uses 15, 2 liter bottles in a week,

then 15 * 2 = 30 liters in a week.

If he uses the same rate in 10 weeks then,

10 * 30 = 300 liters

Answer:

50%

Step-by-step explanation:

You take the 1500 shots and take away the 300 and 450 you get 750 you divide 750 from 1500 then you get 0.5 and you multiply it with 100 and you get the answer 50.

Out of 1500 flu injections the share of flu vaccines which has been given is 94.33%.

A percentage is that the number or ratio expressed as a fraction of 100. it's denoted by the expression %. it's calculated by the subsequent formula:

Percentage=Number/total*100

It is provided that out of 1500 flu vaccines , 300 got in September, 450 got in October and 665 got in November.

Total vaccines given= 300+450+665

=1415

Percentage=1415/1500*100

=0.9433*100

=94.33%

Hence the proportion of flue vaccine that has been given is 94.33%.

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