3 cm
20 cm
4 cm
Find the volume of the rectangular prism.
[?] cm
Enter

Answer:

Number of 50sen coins  =  13

Step-by-step explanation:

Let the number of 50sen coins be = x

Let the number of 20sen coins be  = y

Total coins  = 20

x + y = 20 ----------------------(i)

Value of 50sen coins = 0.50*x = 0.50x

Value of 20sen coins = 0.20 *y = 0.20y

Total value = RM 6.10

0.5x + 0.2y = 6.10 -------------------(ii)

Multiply (i) by (-0.5) and then add the equations. So, x will be eliminated and we can find the value of y

(i) * (-0.5)      -0.5x - 0.5y = -10

(ii)                  0.5x  + 0.2y = 6.10 { add and now x will be eliminated}

                              - 0.3y = -3.90

Divide both sides by (-0.3)

y = -3.90/-0.3

y = 13

Plug in the value of y in equation (i)

x + 13 = 20

Subtract 13 from both sides

x = 20 -13

x = 7

Number of 50sen coins  =  13

Answer:

the number of 50sen coins:

x = 7

Step-by-step explanation:

Taking the number of 50sen coins as x

50(x)

∴ the number of 20sen coins is 20-x (as total no. of coins are 20)

20(20-x)

total amount = 6.10RM = 610sen

equating:

50x + 20(20-x) = 610

50x + 400-20x = 610

50x - 20x = 610-400

30x = 210

x = 210/30 = 7

Therefore, the number of 50sen coins is 7

20sen coins is 20-7= 13.

verification=

50*7 + 20*13 = 610

310 + 260 = 610

610sen = 610sen

6.10RM = 6.10RM

L.H.S = R.H.S

hence, verified.

Answer:

Step-by-step explanation:

If K is square number, then exponents in number N are even.

Answer: [tex]x=4[/tex]

Simplify both sides of the equation.

[tex]-7x+8=-4(x+1)\\-7x+8=(-4)(x)+(-4)(1)(Distribute)\\-7x+8=-4x+-4[/tex]

Add 4x to both sides

[tex]-7x+8+4x=-4x-4+4x\\-3x+8=-4[/tex]

Subtract 8 from both sides

[tex]-3x+8-8=-4-8\\-3x=-12[/tex]

Divide both sides by -3

[tex]-3x/-3=-12/-3\\x=4[/tex]

Answer:

x=4

Step-by-step explanation:

Let's first simplify the equation.  

-7x+8= -4x-4                    

You get -4x-4 by distributing the -4 into the numbers in the parenthesis because -4 is right outside the parenthesis.

-4 times x= -4x

-4 times 1= -4

-7x+8= -4x-4

Next, move the -4x to where the -7x is because we want to combine like terms.  When a number moves to the opposite side, it changes from positive to negative or negative to positive.  Like here: -4x moves to a different side, so it becomes +4x.  

-7x+4x+8= -4  

Do the same for 8.  Since -4 is on the other side, move 8 to that side.  It turns from +8 to -8.

-7x+4x= -4-8

Combine like terms and solve.  

-7x+4x= -3x

-4-8= -12

So we have this now: -3x= -12

Since 12 divided by 3 is 4, and negative with negative is positive, it becomes positive 4. :)

Answer:

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

Step-by-step explanation:

Calculate the slope of the line m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (1, - 2)

m = [tex]\frac{-2-2}{1+1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

20

Step-by-step explanation:

we know,

n(aUb)=n(a)+n(b)-n(a∩b)

so,

80=40+60-n(a∩b)

or, 80-(40+60)=-n(a∩b)

or, -n(a∩b)=80-100

or, -n(a∩b)=-20

or, n(a∩b)=20

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   Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]\frac{1}{4} x^2+5=0[/tex]

For this equation: [tex]a=0.25, b=0, c=5[/tex]

[tex]0.25x^2 + 0x + 5 = 0[/tex]

Step 1: Use quadratic formula with [tex]a=0.25, b=0, c=5.[/tex]

[tex]x = \frac{-b ± \sqrt{b^2 - 4ac} }{2a}[/tex]

[tex]x = \frac{-(0) ± \sqrt{(0)^2 -4 (0.25) (5) } }{2(0.25)}[/tex]

[tex]x = \frac{0 ± \sqrt{-5} }{0.5}[/tex]

Answer : No Real Solutions.

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If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

Answer:

[tex] SA = 24.73~cm^3 [/tex]

Step-by-step explanation:

[tex] SA = 2\pi r^2 + 2\pi r h [/tex]

r = d/2 = (1.5 cm)/2 = 0.75 cm

[tex] SA = 2(3.14)(0.75~cm)^2 + 2(3.14)(0.75~cm)(4.5~cm) [/tex]

[tex] SA = 24.73~cm^3 [/tex]

Answer:

24.7

Step-by-step explanation:

took this exam and got it right

Answer:

A. Sine A = 4/5

B. Cos A = 3/5

C. Tan A = 4/3

D. Tan B = 3/4

Step-by-step explanation:

We'll begin by calculating the value of b in the attached photo.

This can be obtained as follow:

Cos B = 4/5

Cos B = Adjacent /Hypothenus

Adjacent = 4

Hypothenus = 5

Using pythagoras theory, the value of b can be obtained as follow:

b² = 5² – 4²

b² = 25 – 16

b² = 9

Take the square root of both side.

b = √9

b = 3

A. Determination of Sine A

Sine A =?

Opposite = 4

Hypothenus = 5

Sine A = Opposite /Hypothenus

Sine A = 4/5

B. Determination of Cos A

Cos A =?

Adjacent = 3

Hypothenus = 5

Cos A = Adjacent /Hypothenus

Cos A = 3/5

C. Determination of Tan A.

Tan A =?

Opposite = 4

Adjacent = 3

Tan A = Opposite /Adjacent

Tan A = 4/3

D. Determination of Tan B

Tan B =?

Opposite = 3

Adjacent = 4

Tan B = Opposite /Adjacent

Tan B = 3/4

Answer:

when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°.

Step-by-step Explanation:

The relationship between an intercepted arc and an inscribed angle is given as:

the measure of the intercepted arc = twice the inscribed angle that intercepts it.

Also, by virtue of this, when two inscribed angles intercepts the same arc, both inscribed angles are said to be congruent. And the measure of both angles equal the measure of the arc they both intercept.

Therefore, if the measure of an arc, that is intercepted by 2 inscribed angles, is given as 75°, both inscribed angles equal 75° as well. Thus, each of the inscribed angles is half the measure of the intercepted arc.

Therefore, the statement that is true about inscribed angles is: "when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°."

Answer:

B.

Step-by-step explanation:

Table B has x values that go to multiple y values. A function has inputs that only go to one output.

Answer: 2/3

Step-by-step explanation: As you can see, the denominators are different so we need to find a common denominator to add these 2 fractions.

We find the common denominator by finding

the common multiple for these 2 denominators.

Multiples of 10

1 x 10 = 10

2 x 10 = 20

3 x 10 = 30

Multiples of 15

1 x 15 = 15

2 x 15 = 30

As you can see, we have a common multiple of 30.

To get 30 in the denominator of 2/10, multiply top and bottom by 3.

To get 30 in the denominator of 7/15, multiply top and bottom by 2.

So we have 6/30 + 14/30 which is 20/30.

20/30 can be reduced to 2/3.

Answer:

number 4 on edge

Step-by-step explanation:

Answer:

a. 92 minutes b. 7:56am

Step-by-step explanation:

He should leave at 7:56 so he gets to the bus at 8:05,

he gets to Coventry at 9:37 with enough time to walk 12 minutes to get to work before 10am.

Answer:

A. trapezoid

Step-by-step explanation:

A trapezoid does not have rotational symmetry .  It would have to rotate 360 degree to  look the same

An equilateral triangle has 120 degree rotational symmetry

A regular pentagon has 72 degree rotational symmetry

A rectangle has 180 degree rotational symmetry

Answer:

0.332

Step-by-step explanation:

given series

1/4, 1/16,1/64.1/256

this is geometric series

where common ratio   r is given by

nth term/ (n-1)th term

let the second term is nth term and first term is (n-1)th term

r = 1/16 / (1/4) = 1/4

___________________________________________

sum of series is given by

a (1-r^n)/1-r

where a is first term

n is the number of terms

r is the common ration

___________________________________________

in the given series

1/4, 1/16,1/64.1/256

a = 1/4

r = 1/4

n = 4

thus ,

sum = 1/4(1-(1/4)^4)/ (1-1/4)

sum = 1/4(1-(1/256)/(4-1)/4

sum = 1/4((256-1)/256 / 3/4

1/4 in numerator and denominator gets cancelled

sum =( 255/256*3) = 255/768 = 0.332

Thus, sum of series is 0.332.

Answer:

341/256

Step-by-step explanation:

I took the test and got the answer right

You just give all the fractions a common denominator of 256 and then change and add up the numerators and you get 341

Answer:

0.625

Step-by-step explanation:

:) i hope this helps.

Answer:

(x1,y1) = (2x - x2, 2y - y2)

Step-by-step explanation:

Given:

Midpoint = (x , y)

End point = (x2, y2)

Find:

(x1, y1)

Computation:

Mid-point formula

x = (x1 + x2) / 2 , y = (y1 + y2) / 2

So,

2x = x1 + x2 , 2y = y1 + y2

x1 = 2x - x2 , y1 = 2y - y2

So,

(x1,y1) = (2x - x2, 2y - y2)

Answer: don't know

Step-by-step explanation:

Answer:

#1

The cost to produce 500 helmets:

#5

The break-even point is the price when profit is zero:

#6

There will be a profit as the selling price is greater than the break even point:

Find cost of x=500 helmets

Break even point

So

There is profit as its less than 18

━━━━━━━☆☆━━━━━━━

▹ Answer

Y = 1

▹ Step-by-Step Explanation

[tex]\frac{10}{2} = \frac{5}{y} \\\\10/5 = 2\\2/2 = 1\\\\Y =1[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

The slope is undefined.

Step-by-step explanation:

    By looking at the table of values, you can see the x values are not changing. If these points were graphed, they would make a vertical line. Whenever this is the case, the line has an undefined slope.

    You can calculate the slope if graphing cannot be done by using the formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-1}{-2-(-2)}\\m=\frac{3}{0}\\[/tex]

    Therefore, the slope of this representation is undefined.

Answer:

I think 705.79 if I did it right

Step-by-step explanation:

500(1+.09/1)^4 = 705.79

Answer:

Print('Batman')

Step-by-step explanation:

it literally says "Elif False and False or True and True print('Batman')

Answer: [tex]3\sqrt{13}[/tex]

Step-by-step explanation:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(-4-2\right)^2+\left(3-\left(-6\right)\right)^2}[/tex]

[tex]=3\sqrt{13}[/tex]

Answer:

1

Step-by-step explanation:

Plug in t = 12 in the expression

[tex]5-\frac{t}{3}=5-\frac{12}{3}[/tex]    

         = 5 - 4/1

          = 5 - 4

           = 1

Answer:

[tex]\Huge \boxed{1}[/tex]

Step-by-step explanation:

[tex]\displaystyle 5-\frac{t}{3}[/tex]

The value of [tex]t[/tex] in the expression is 12.

Replace the [tex]t[/tex] variable with 12.

[tex]\displaystyle 5-\frac{12}{3}[/tex]

Evaluate the expression.

[tex]5-4[/tex]

[tex]1[/tex]

Answer:

1^-100

Step-by-step explanation:

in the negative powers the negative sign stands for the fraction line symbol and the power stands for the bottom number.

This problem can be a bit confusing, so let's break it down:

First, let's take the area of the square (A = b · h):

A = 15 · 15

A = 225 cm²

Now comes the confusing part:

We can tell that the non-shaded area is 1/4 of a circle, so, if we take 1/4 of the area of a circle, we can subtract its area from the area of the square:

A = πr²

A = 15²π

A = 225π

1/4 A = 225π / 4

New Area = 56.25π

Or... about 176.7

Since we have both of the areas, all we have to do is subtract:

225 - 176.7 =

48.3.

Your final answer is 48.3 cm²

Answer:

.

Step-by-step explanation:

2: 5, 10, 261.8, 785.4, 0.33

3: 7, 20, 1,026.3, 3,078.8, 0.33

4: 8, 6, 402.1, 1,206.4, 0.33

5: 12, 11, 1,658.8, 4,976.3, 0.33

Answer:

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Step-by-step explanation:

Answer:

Rewrite the absolute value equation as two separate equations, one positive and the other negative

Solve each equation separately

After solving, substitute your answers back into original equation to verify that you solutions are valid

Write out the final solution or graph it as needed

Step-by-step explanation: