Round 112.3398 to the nearest hundredth. Enter your answer in the space
provided.

Answer:

When l = 4m , breadth is 8m

When l = 8m , breadth is 4m .

Step-by-step explanation:

Here it is given that the area of a rectangular patch is 32m² . If we assume length to be l and breadth to be b , then ;

[tex]\longrightarrow Area_{rectangle}=length\times breadth\\ [/tex]

[tex]\longrightarrow 32m^2 = lb \dots (i) [/tex]

Again , it's given that the perimeter is 24m .We know that perimeter of a rectangle is ,

[tex]\longrightarrow Perimeter = 2(l+b)\\ [/tex]

[tex]\longrightarrow 24 = 2( l +b)\\ [/tex]

[tex]\longrightarrow l + b = 12\dots (ii) [/tex]

From equation (i) and (ii) , we have ;

[tex]\longrightarrow l + \dfrac{32}{l}=12\\\\\longrightarrow \dfrac{l^2+32}{12}=1\\\\\longrightarrow l^2+32=12l \\\\\longrightarrow l^2-12l +32=0\\\\\longrightarrow l^2-4l -8l +32=0 \\\\\longrightarrow l( l -4) -8(l-4)=0\\\\\longrightarrow(l-4)(l-8)=0 \\\\\longrightarrow \underline{\underline{ l = 4,8}} [/tex]

Therefore , we can find breadth as,

[tex]\longrightarrow l + b =12\\\\\longrightarrow b = 12 - l \\\\\longrightarrow b = 12-8, 12-4\\\\\longrightarrow \underline{\underline{b = 4,8}}[/tex]

Answer: z = [tex]\sqrt{10}[/tex]

Step-by-step explanation:

To find z, you must set up a proportion to solve.

To find the altitude of a special right triangle, the formula is:

[tex]\frac{a}{x} =\frac{x}{b}[/tex]

You can use 5 as a and 2 as b to complete the proportion:

[tex]\frac{5}{x} =\frac{x}{2}[/tex]

Next, to solve:

Step 1: Cross-multiply.

[tex]\frac{5}{z} =\frac{z}{2}[/tex]

(5)*(2) = z*z

10 = z²

Step 2: Take square root.

10 = z²

√10 = z

I hope this helps!

Answer:

y=1/2x+2

Step-by-step explanation:

The equations come in the form of y=mx+c, where m is the gradient and c is the y-intercept. Looking at the graph we know that the y-intercept is (0,2), so that rules out options B and C.

To find the gradient is a little more tricky, but we can follow the formula:

[tex]\frac{rise}{run}[/tex], where rise is the vertical value and run is the horizontal value

So we sub in our values:

[tex]\frac{2}{4}[/tex]

And simplify:

[tex]\frac{1}{2}[/tex]

So now we sub in our new found values into y=mx+c:

y=1/2x+2

Answer: y = x/2 + 2 which is the 4th option from the top

Step-by-step explanation:

First find the slope which is (0-2)/(-4-0) = 2/4 = 1/2

So it's y = x/2 + c

Substituing (-4,0) into the equation we get

0 = -4/2 + c

0 = c-2

c = 2

So the equation is y = x/2 + 2 which is the 4th option from the top

Answer:

7.95775

Step-by-step explanation:

volume = pi*r^2*h

Using the formula

V=πr2h

Solving for h

h=V/πr2

=100/π·2^2≈7.95775

Answer:

A = 78 sq in

Step-by-step explanation:

Area of a triangle:

A = 1/2•b•h

= 1/2•26•6

= 78 sq in

Answer:

{H1, T1, H2, T2, H3, T3, H4, T4, H5, T5}

Step-by-step explanation:

You can only have a tail or head with the numbers 1 to 5. Since, there's one coin tossed.

Hope this helps!

Answer:

The answer is the 2nd option! {H1, T1, H2, T2, H4, T4, H5, T5}

Para estudiantes de Español:

La respuesta es la opción número 2! {H1, T1, H2, T2, H4, T4, H5, T5}

Step-by-step explanation:

This is correct!

Este es correcta!

Answer:

2,3,4

Step-by-step explanation: i just got that answer

The Answers are 2,3, and 4.

2. There will be two solutions.

3. The solution to –(y + 6) = 2 will be also be a solution to the given absolute value equation.

4. The solution(s) will be the number(s) on the number line 2 units away from –6.

Answer: b

Step-by-step explanation:

If you plug in 1000 for x and 1500 for y, choice b will be the only equation that is true

Answer:

less than 5%

Step-by-step explanation:

In the USA less than 5% of children under the age of 11 study a language other than English at school

Hopefully this helped- have a good day)

Answer:

4^3 x 5^2

Step-by-step explanation:

Answer: A=hbb2

Step-by-step explanation: For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.

Answer:

8)  14

10) 1

12) 81

Step-by-step explanation:

For number eight, you have to multiply out by 2. For example,

9 x 2= 18

2 x 2= 4

7 x 2= 14

For number ten, you have to subtract by 9. For example,

51 - 42= 9

10 - ___= 9

the space would be 1 because 10-1 equals 9

For number 12, you have to multiply out by 9

5 x 9=45

10 x 9= 90

9 x9= 81

Answer:

Domain:

(− ∞, ∞ )

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Answer:

The number is 1.2 and the algebraic equation is 10x=12

Step-by-step explanation:

Since the product of a number and ten is 12, we can express it as the algebraic equation x*10=12, where x is any number.

x*10=12

10x=12

x=12/10

x=1.2

Therefore, The number is 1.2

Answer:

40/10  [4 meters/sec]

Step-by-step explanation:

Watch for what the units are telling us.  The number that is being requested  

is speed in units of meters/sec.  We are given 40 meters and 10 seconds.  If we divide 40 meters by 10 seconds (10 meters/10 seconds), we get 4 meters/sec, the correct dimension.

Answer:

y =3

......

.....

....

.....

Answer:

B

Step-by-step explanation:

Answer:

Your answer is A/B.

Because TanA =P/B

Answer:

144 square feet

Step-by-step explanation:

First. the base is 6 by 6, meaning the surface area of it is 36 square feet. Then, we do a single triangle, whose area is (6*9)/2, or 27. 27*4 is 108, so the answer will be 108+36=144.

Answer is: 144 square feet

Have a great day! :)

Answer:

I got u x= 29.    ( Your welcome )

Step-by-step explanation:

3x+15 +2x+20=180  because a line is 180 duhh

we collect like terms and we get

5x +35=180 we decrease in both sides by 35

5x=145

x=145/5

x=29

Answer: How to Find the Distance between Two Points on a Graph

1

Take the coordinates of two points you want to find the distance between.

2

Know the distance formula. This formula finds the length of a line that stretches between two...

3

Find the horizontal and vertical distance between the points.

4

Square both values. This means that you will square the x-axis distance (x2 - x1).

Step-by-step explanation:

Answer

rathan is incorrect

Step-by-step explanation:

Factors of an even number are not always even. Even numbers don't have to HAVE  even factors  they just have to be divisible by 2

Answer: -1,-1 + -2,-1

Step-by-step explanation:

You first take the verticle line and then the horizontal line and then you add point be by point A so basically its supposed to be -1+(-1)+(-1)+(-2) if I'm right.

Answer:

11 is the answer.

Step-by-step explanation:

11 and 23 are the answers.

Step-by-step explanation:

Multiple of 2 increase 1 =

[tex]3,5,7,9,11,13,15,17...[/tex]

Multiple of 3 increase 2 =

[tex]5,8,11,14,17...[/tex]

Multiple of 4 increase 3 =

[tex]7,11,15,19...[/tex]

Here, we can see the smallest number is 11

There are more numbers having this property such as 23.

[tex]23 \div 2 = 11...1[/tex]

[tex]23 \div 3 = 7...2[/tex]

[tex]23 \div 4 = 5...3[/tex]

Answer:

34 is the right answer I have already done it