a rectangular metallic block is 16 cm long . 8 cm broad and 4 cm thick . If it is melted and converted into a cube , find the surface area of the cube​

Answer:

116cm^2

Step-by-step explanation:

This problem is just a matter of finding the area of the large and the small circle. To find the area of the large circle, you will use the equation: A = pi*r^2 in the following manner:

A = pi*r^2

A = pi*6.5^2

A = pi*42.3

A = 133

Next, you need to subtract the smaller circle from the area to only have the shaded area. Do this like the following:

A = pi*r^2

A = pi*2.3^2

A = pi*5.29

A = 16.6

Lastly, you just need to subtract! Do this like the following:

A = 133 - 16.6 = 116.4cm^2 = 116cm^2

The area of shaded area is 116.14 cm²

The area of circle is given by

Wee have 2 radii

Lets find for the radius 2.3

A = π * 2.3²

A = 16.61

Now lets find for the radius 6.5

A = π * 6.5²

A = 132.73

Now

The shaded area is 132.75 - 16.61

Shaded area = 116.14

Answer: 5.89 cubic inches.

Step-by-step explanation:

you use the formula v=pi radius squared h/3

Answer:

5.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x - 3y = -30

-2x + 7y = -2

-3x - 3y = -30  /*(-2)

-2x + 7y = -2 /*3

6x + 6y = 60

-6x + 21y = -6

6x - 6x + 6y + 21y = 60  - 6

27y = 54

y = 2

-3x - 3y = -30

-3x - 3*2 = -30

-3x - 6 = -30

-3x = -30 + 6

-3x = - 24 / : (-3)

x = 8

Answer:

The area of the triangle is [tex]128.62\ cm^{2}[/tex]

Step-by-step explanation:

we know that

Applying the law of sines

The area of a triangle is equal to

[tex]A=\frac{1}{2}(a)(c)sin(B)[/tex]

substitute the values

[tex]A=\frac{1}{2}(12)(22)sin(103\°)[/tex]

[tex]A=128.62\ cm^{2}[/tex]

Answer:

$613.35

Step-by-step explanation:

As 1.45% of employee's pay check goes to the Medicare, so

Total pay of Kasey in next year=$42300

Amount to be paid to medicare=1.45% of Kasey^' s pay

=42300*  1.45/100

=42300*  145/10000

=  6133500/10000

=613.35

Kasey will have to pay $613.35 to Medicare.  

Simplify brackets

2/5(x - 4) = 2x

Simplify 2/5(x - 4) to 2(x - 4)/5

2(x - 4)/5 = 2x

Multiply both sides by 5

2(x - 4) = 10x

Divide both sides by 2

x - 4 = 5x

Subtract x from both sides

-4 = 5x - x

Simplify 5x - x to 4x

-4 = 4x

Divide both sides by 4

-1 = x

Switch sides

x = -1

Answer:

The number is +1

Step-by-step explanation:

we have

[tex]y=-2(x+2)^2-1[/tex]

This is the equation of a vertical parabola with vertex at point (-2,-1)

The function has no real zeros

we know that

If the number +1 is added to the equation on the right side

then

[tex]y=-2(x+2)^2-1+1[/tex] -------> [tex]y=-2(x+2)^2[/tex]

Is a translation one unit up

The vertex of the parabola will be the point (-2,0) and the function will have one real root

see the attached figure to better understand the problem

Answer:

1

Step-by-step explanation:

Answer with explanation:

Let me start answering this Question like this.

Why Median came into existence because Mean was not good enough to provide better solution to Statistical Data Set.

What, is Median.Median of a discrete data set ,is Middle value in the data set when arranged in ascending or descending order.Suppose you have to find whether wages of Employee in certain Organization is appropriate or not.You will use two measure of variation for that Purpose: 1. Mean 2.Median

Consider Bar graph of Data set 1

Variate in set builder form ={10,15,20,25,30,35,30,25,20,15,10}

When arranged in ascending order ={10,10,15,15,20,20,25,25,30,30,35}=11(Odd)

Mean

    [tex]=\frac{235}{11}\\\\=21\frac{4}{11}[/tex]

Median =Mid value =20

Median  - Smallest variate =20 -10=10

Largest Variate - Median =35-20=15

→→→Consider Bar Graph of Data set 2

Variate in set builder form ={22,18,20,26,30,28,20,9,9,5,4,3,3,2}

When arranged in ascending order ={2,3,3,4,5,9,9,18,20,20,22,26,28,30}=14(Even)

Mean

 [tex]=\frac{199}{14}\\\\=14\frac{3}{14}[/tex]

Median

        [tex]=\frac{9+18}{2}\\\\13.5[/tex]

Median  - Smallest variate =13.5 - 2=11.5

Largest Variate - Median =30 -13.5=16.5

→→Consider Bar Graph of Data set 3

Variate in set builder form ={4,3,4,,4,5,5,5,4,5,5}

When arranged in ascending order ={3,4,4,4,4,5,5,5,5,5}=10(Even)

Mean

   [tex]=\frac{44}{10}\\\\=4.4[/tex]

Median

       [tex]=\frac{4+5}{2}\\\\4.5[/tex]

Median  - Smallest variate =4.5 -3=1.5

Largest Variate - Median =5-4.5=0.5

Consider Bar graph of Data set 4

Variate in set builder form ={11,12,13,14,15,18,19,24,28,15,12,11}

When arranged in ascending order ={11,11,12,12,13,14,15,15,18,19,24,28}=12(even)

Mean

     [tex]=\frac{192}{12}\\\\=16[/tex]

Median

     [tex]=\frac{14+15}{2}\\\\14.5[/tex]

Median  - Smallest variate =14.5 - 11=3.5

Largest Variate - Median =28 - 14.5=13.5

Drawing Box plot of four data set

Found that, for data set 3, median lies in the center.

Option 2 and Option 3

Answer:

36

Step-by-step explanation:

since the .77 is larger than .5, you automatically round it up

Answer:

36

Step-by-step explanation:

The number 35.77 is closest to 36. It's all about the destimal, if we had 35.44 that's not above 50 so it would be 34. This would apply to any whole number.

Answer:

1) [tex]30\ in\ by\ 12\ in[/tex] --------> [tex]120\ in^{2}[/tex]

2) [tex]30\ in\ by\ 18\ in[/tex] --------> [tex]180\ in^{2}[/tex]

3) [tex]12\ in\ by\ 15\ in[/tex] --------> [tex]60\ in^{2}[/tex]

4) [tex]18\ in\ by\ 15\ in[/tex] --------> [tex]90\ in^{2}[/tex]

Step-by-step explanation:

Verify each case

case 1) [tex]30\ in\ by\ 12\ in[/tex]

Find the area with the original dimensions

[tex]A=30(12)=360\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]360/3=120\ in^{2}[/tex]

therefore

[tex]30\ in\ by\ 12\ in[/tex] --------> [tex]120\ in^{2}[/tex]

case 2) [tex]30\ in\ by\ 18\ in[/tex]

Find the area with the original dimensions

[tex]A=30(18)=540\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]540/3=180\ in^{2}[/tex]

therefore

[tex]30\ in\ by\ 18\ in[/tex] --------> [tex]180\ in^{2}[/tex]

case 3) [tex]12\ in\ by\ 15\ in[/tex]

Find the area with the original dimensions

[tex]A=12(15)=180\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]180/3=60\ in^{2}[/tex]

therefore

[tex]12\ in\ by\ 15\ in[/tex] --------> [tex]60\ in^{2}[/tex]

case 4) [tex]18\ in\ by\ 15\ in[/tex]

Find the area with the original dimensions

[tex]A=18(15)=270\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]270/3=90\ in^{2}[/tex]

therefore

[tex]18\ in\ by\ 15\ in[/tex] --------> [tex]90\ in^{2}[/tex]

➷ The formula for surface area of a cylinder is:

[tex]2\pi rh + 2\pi r^2[/tex]

The radius is half the diameter

radius = 40/2 = 20

Substitute the values in

Surface area = [tex]2\pi (20)(32) + 2\pi (20)^2[/tex]

Simplify to get an answer of:

surface area = [tex]2080\pi feet^2[/tex]

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

Customer has bought too much sand

Step-by-step explanation:

Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.

Volume of a rectangular box = Length * Width * Height

=> 6*5*1.2

=> 36 cubic feet

As mentioned, customer bought a sand box and 40 cubic feet of sand.

So,

Volume of rectangular box (R) = 36 cubic feet

Volume of Sand (S) = 40 cubic feet

From analysis

S > R

Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.

Therefore, customer has bought too much sand.

Answer:

m∠GQF=23°

Step-by-step explanation:

This is equal to 23 degrees because you know that mFG is 46°. Now, you use a theorem similar to Peripheral ∠ Th. to get 23°

Answer:

[tex]m\angle GQF=23^{\circ}[/tex]

[tex]m\angle GPF=52^{\circ}[/tex]

Step-by-step explanation:

We have been given an image of a circle and we are asked find the measure of angle GQF and measure of angle GPF.

We know that the measure of an inscribed angle is half the measure of its intercepted arc. To find the measure of angle GQF we will divide the measure of its intercepted arc (FG) by 2.

[tex]m\angle GQF=\frac{1}{2}\times 46^{\circ}[/tex]

[tex]m\angle GQF=23^{\circ}[/tex]

Therefore, the m∠GQF is 23 degrees.

We know that measure of angle formed by two intersecting secants inside a circle is half the sum of their intercepted arcs.

[tex]m\angle GPF=\frac{1}{2}\times(\text{Measure of arc FG+arc QE})[/tex]

[tex]m\angle GPF=\frac{1}{2}\times(46^{\circ}+58^{\circ})[/tex]

[tex]m\angle GPF=\frac{1}{2}\times(104^{\circ})[/tex]

[tex]m\angle GPF=52^{\circ}[/tex]

Therefore, the m∠GPF is 52 degrees.

Answer:

The reduced paid up insurance value is $47,770 and the annual premium is $4,097

The reduced paid-up insurance value is $6,692.83.

The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would

We have,

To determine the reduced paid-up insurance value and the annual premium,

We need to use the information given and the following formulae:

The cash value of a policy is the amount of money that the policyholder would receive if they surrendered the policy before it matured.

The net amount at risk is the difference between the face value of the policy and the cash value.

The present value of a policy is the sum of the net amount at risk and the present value of the future premiums.

We are given that:

The policy is a 20-Year Endowment insurance policy, purchased when the policyholder was 40 years old.

The face value of the policy is $85,000.

The policyholder is now 50 years old.

The permanent insurance amount is $48.20 per thousand.

We need to determine the reduced paid-up insurance value and the annual premium.

We can use the following steps to determine the reduced paid-up insurance value and the annual premium:

Step 1: Calculate the cash value of the policy

The cash value of the policy can be calculated using the following formula:

Cash value = (Present value of future endowment benefits) - (Present value of future premiums)

We are given that the policy is a 20-Year Endowment policy, so the endowment benefit is $85,000. We can use the following formula to calculate the present value of the future endowment benefits:

Present value of endowment benefits = Endowment benefit / (1 + i)n

where i is the interest rate and n is the number of years.

Since the policyholder is 50 years old and the policy has 10 years left, we can assume an interest rate of 4% and calculate the present value of the endowment benefits as follows:

Present value of endowment benefits = $85,000 / (1 + 0.04)^10 = $48,598.20

We can calculate the present value of future premiums using the following formula:

Present value of future premiums = Net amount at risk / (Present value of an annuity due of $1 for n years, at i%)

where n is the number of years and i is the interest rate.

Since the policyholder has paid premiums for 10 years, there are 10 years left to pay. Using the same interest rate of 4%, we can calculate the present value of an annuity due of $1 for 10 years as follows:

Present value of an annuity due of $1 for 10 years, at 4% = 7.3601

We can now calculate the net amount at risk as follows:

Net amount at risk = Face value - Cash value

Face value = $85,000

Cash value = $48,598.20 + (Annual premium x Present value of an annuity due of $1 for 10 years, at 4%)

Net amount at risk = $85,000 - $48,598.20 - (Annual premium x 7.3601)

Step 2: Calculate the reduced paid-up insurance value

The reduced paid up insurance value is the amount of insurance that the policyholder can receive without paying any more premiums. It can be calculated as follows:

Reduced paid up insurance value = Cash value / Permanent insurance amount

Using the cash value calculated in Step 1 and the permanent insurance amount of $48.20 per thousand, we can calculate the reduced paid up insurance value as follows:

Reduced paid up insurance value.

= $48,598.20 / ($48.20 x 85)

= $6,692.83

Step 3: Calculate the annual premium

The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would

Thus,

The reduced paid-up insurance value is $6,692.83.

The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would

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Since she has the most heads come up, making her chances to be best of getting heads.

-----------------------------------------------------------------------------------------------

Divide each of the four values (102, 164, 75, 139) by 250 to get

102/250 = 0.408

164/250 = 0.656

75/250 = 0.300

139/250 = 0.556

We see that Jessica's empirical probability of 0.556 is closest to that of 1/2 = 0.500 which is the theoretical probability of getting heads.

La réponse au problème 7

est B) Kelly

La réponse au problème 8

est D) Jessica

102/250 = 0,408

164/250 = 0,656

75/250 = 0,300

139/250 = 0,556

Nous voyons que la probabilité empirique de Jessica de 0,556 est la plus proche de celle de 1/2 = 0,500 qui est la probabilité théorique d'obtenir des têtes.

The correct answer is B.

Hope this helps.

Answer:

-48x-96

Step-by-step explanation:

Split the angle using the sum and difference formulas and simplify.

Answer:

440,000

Step-by-step explanation:

435, the ten thousands place is the 2 place in the 435, so 5 rounds up, so 440 is what it round o, and everything else becomes 0.

435,098 rounded to the nearest ten thousand place is Option (E) 440,000.

Rounding off is the process used when a number is formed from the approximated value to tens, hundreds or thousands places. Rounding off is applied to a certain number to find the closest value after that number.

The number given is 435098.

Thus rounding off the number to nearest thousand will give us the closest value after that number in the thousand place of the digit of number.

Therefore from the Options given, the correct rounded off number is Option (E) 440,000.

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Answer:

    -4

   ------

     6

Step-by-step explanation:you go down 4 and across 6 so since you go down it is a negative by the way the answer on the top is a fraction.

I=-2,3

III= -1, 4

*I think sorry if it’s wrong*

Answer:

To calculate the monthly accrued interest on a loan or investment, you first need to determine the monthly interest rate by dividing the annual interest rate by 12. Next, divide this amount by 100 to convert from a percentage to a decimal. For example, 1% becomes 0.01.

Step-by-step explanation:

Answer:

[tex]x=14.5\degree[/tex] or [tex]x=165.5\degree[/tex]

Step-by-step explanation:

We want to solve the equation;

[tex]\sin x=\frac{1}{4}[/tex] on the interval [tex][0,360\degree][/tex]

The sine ratio is positive in the first and second quadrant.

We take the sine inverse of both sides of the equation to get;

[tex]x=\sin^{-1}(\frac{1}{4})[/tex]

[tex]x=14.5\degree[/tex]

This is the angle in the first quadrant.

In the second quadrant;

[tex]x=180-14.5[/tex]

[tex]x=165.5\degree[/tex]

Answer:

1. 24 in^2

2. 51 in^2

3. 286 cm^2

4. 90 m^2

5. 60 cm^2

6. 57.06 m^2

7. 185 ft^2

8. 13.5 in^2

9. 252 ft^2

10. I'm not quite sure how to do this one

11. 315 m^2

12. 322 ft^2

13. I cant see all of this one

14. 39 in^2

15. 100 in^2

16. 72.5 in^2

Some of the numbers were very blurry and did my best to make them out so If I got any of them wrong I apologize.

Answer:

im about a year and a half late but please give him brainliest

Step-by-step explanation:

Really hope i'm right

1st row

the first one is length less than 10

one next to it is width greater than 5

next to that is length greater than 10

2nd row

the first one is length greater than 10

one next to that is width less than 5

next to that is width greater than 5

3rd row

first one is width less than 5

and last is length less than 10

Answer : C: $125.

Hopefully that helps you ! have a good day !

Answer:

x=1 2/5

Step-by-step explanation:

Replace y with 0 and solve for x.

Answer:  The required zero of the given function is x = -1.4.

Step-by-step explanation:  We are given to find all the real zeroes of the following function :

[tex]y=-5x-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Since the given function is linear, so it will have only one real zero.

Also, the zeroes of a function y = f(x) is given by f(x) = 0.

So, the zero of the given function (i) is

[tex]y=0\\\\\Rightarrow -5x-7=0\\\\\Rightarrow 5x=-7\\\\\Rightarrow x=-\dfrac{7}{5}\\\\\Rightarrow x=-1.4.[/tex]

Thus, the required zero of the given function is x = -1.4.

Answer:

2929 feet away from the door

Step-by-step explanation:

Answer:

A=777.54

Step-by-step explanation:

What you do is use the formula which is

a=2pirh+2pir^2.

The radius is half the diameter and the diameter is 15 so you take 15 and divide it by 2 to get 7.5.

The height is 9 m.

A=2(3.14)(7.5)(9)+2(3.14)(7.5)^2=777.54 m.

Answer:

 777.15 m^2

Step-by-step explanation:

To find the surface area of a cylinder

SA = 2 pi r h + 2 pi r^2

The area of the sides Plus the area of the top and bottom

We know the diameter is 15 so the radius  is 1/2 (15) = 7.5

SA = 2 * pi * (7.5) * 9 + 2  * pi * (7.5)^2

     = 135pi + 112.5pi

        247.5 pi

Approximating pi with 3.14

      247.5 (3.14)

     777.15 m^2

2X - 8 is used to represent Eight less than the product of two and a number X. ​

To represent "Eight less than the product of two and a number X" as an expression, we can use the following equation:

2X - 8

In this expression, 2X represents the product of two and the number X, and subtracting 8 from it gives us "eight less than the product of two and a number X."

The product of two and the number X is obtained by multiplying 2 and X, which gives us 2X.

The expression "2X - 8" then subtracts 8 from the product 2X. This subtraction of 8 represents "eight less than" the product of two and a number X.

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[tex]3a + b = 7\Leftrightarrow 3(3a + b) = 3 \times 7\Leftrightarrow 9a + 3b = 21 \: (1)\\ 6x + 8y = 40\Leftrightarrow \frac{2(3x + 4y)}{2} = \frac{40}{2} \Leftrightarrow 3x + 4y = 20 \: (2) \\ (1),(2)\Rightarrow 9a + 3b > 3x + 4y[/tex]

[tex]\bf \begin{array}{lll|llll} 3a+b&=&7&&6x+8y&=&40\\&&&&&\\ 3(3a+b)&=&3(7)&&\frac{1}{2}(6x+8y)&=&\frac{1}{2}(40)\\&&&&&\\ 9a+3b&=&21&&\frac{6x}{2}+\frac{8y}{2}&=&\frac{40}{2}\\&&&&&\\ 9a+3b&=&21&&3x+4y&=&20 \end{array}\\\\ ~\hspace{7.5em}21>20[/tex]