A door measuring 72cm by 1.8m was manufactured by a carpenter who prepared it using 74cm by 1.82m. Find the percentage error in a)the length and breadth of the door​

Answer: 2,369.25 cm3

Step-by-step explanation:

Hi, to answer this question we have to use proportions:

X has volume of 64 cm3 and s surface area of 208 cm2

The proportion is = volume / surface area = 64/208

Y has volume of 729 cm3

Volume / surface area = 729/ s (surface area of y)

64/208 = 729/ s

Solving for s:

s = 729 / (64/208)

s = 2,369.25 cm3

Feel free to ask for more if needed or if you did not understand something.

Answer:

The total current drawn is 6.05 amps

Step-by-step explanation:

Simply add the current that each appliance draws, to get the total current required. Notice that they are all given in the same units (amps), so there is no units conversion needed:

Electric iron  :  4.12 amps

Clock;    0.02  amps

light bulb :  0.91 amps

motor :  1 amp

Total current : 4.12  amps + 0.02 amps + 0.91 amps + 1 amp = 6.05 amps

Answer:

x=83

Step-by-step explanation:

97+x=180

x=83

Answer:

∠x = 83°

Step-by-step explanation:

Since ∠x and ∠y are supplementary ∠s so they add up to 180°

So,

∠x + ∠y = 180

Where ∠y = 97°

∠x + 97° = 180

∠x = 180-97

∠x = 83°

Answer:

x = 4

Step-by-step explanation:

multiply both sides by six to get rid of the fractions: -5 x = - 20

divide both sides by -5: x = 4

Answer:

Step-by-step explanation:

If there are options, please share them.

Subtract 7 from both sides.  We obtain:  -2x^2 + 3x - 3.  The coefficients of this quadratic are a = -2, b = 3 and c = -3.  Thus, the discriminant is

b^2 - 4ac, or 3^2 - 4(-2)(-3), or 9 - 24, or -15.  Because the discriminant is negative, this quadratic has two complex roots which differ:

      -3 ± i√15

x = -----------------

             -4

Answer:

[tex]x^2 = -16y[/tex]

Step-by-step explanation:

Given

[tex]Vertex = (0,0)\\Focus = (0,-4)[/tex]

Required

Equation of the parabola (in standard form)

The standard form of a parabola is [tex](x - h)^2 = 4p (y - k),[/tex]

Such that

Vertex = (h,k)

Focus = (h, k + p)

For the vertex

This implies that (h,k) = (0,0)

h = 0 and k = 0

For the focus

This implies that (h, k + p) = (0, -4)

[tex]h = 0\\k + p = -4[/tex]

Recall that [tex]k = 0;[/tex]

Hence, [tex]0 + p = -4[/tex]

[tex]p = -4[/tex]

Substitute [tex]p = -4[/tex], [tex]h = 0\ and\ k = 0[/tex] in the given formula

[tex](x - h)^2 = 4p (y - k),[/tex] becomes

[tex](x - 0)^2 = 4 * -4 (y - 0),[/tex]

[tex](x)^2 = 4 * -4 (y),[/tex]

[tex]x^2 = -16 (y),[/tex]

[tex]x^2 = -16y[/tex]

Hence,, the standard form is [tex]x^2 = -16y[/tex]

Answer:

[tex]\overline{PM}\cong\overline{ON}[/tex]:, Segment subtended by the same angle on two adjacent parallel lines are congruent

Step-by-step explanation:

Statement,                                              Reason

MNOP is a parallelogram:,                     Given

[tex]\overline{PM}\left | \right |\overline{ON}[/tex]:,                                               Opposite sides of a parallelogram

∠PMO ≅ ∠MON:,                                    Alternate Int. ∠s Thm.

[tex]\overline{MN}\left | \right |\overline{PO}[/tex]:,                                               Opposite sides of a parallelogram

∠POM ≅ ∠NMO:,                                    Alternate Int. ∠s Thm.

OM ≅ OM:,                                               Reflexive property

[tex]\overline{PM}\cong\overline{ON}[/tex]:,                                               Segment subtended by the same                                                                                                                              angle and on two adjacent parallel lines are congruent

Answer:

columns: likes roller coasters, doesn’t like roller coasters;

rows: likes water rides, doesn’t like water rides

Step-by-step explanation:

You want to aks to your friends if they like or not water rides and roller coasters.

In a two-way table, a person goes only in one of the columns and only in one of the rows. Then, the columns would be: like A, doesn't like A; and the rows: like B, doesn't like B. Therefore if 10 people like roller coasters and don’t like water rides:

                                            likes roller coasters       doesn’t like roller coasters

likes water rides          

doesn’t like water rides                  10

Answer:

C

Step-by-step explanation:

BELIVE IT

Answer:

Which value of a in the exponential function below would cause the function to stretch?

(one-third) Superscript x

0.3

0.9

1.0

1.5

Step-by-step explanation:

Answer:

This can form a triangle

Step-by-step explanation:

Taking the two smaller segments

The larger segment must be greater than the sum of the two smaller

6+5 > 8

11>8 true

Answer:

Calculate the value of the investment at the end of 3 years. 2000 x 3.5% = 70%

Step-by-step explanation:

Hope this Helps

Answer:

n = 20

Step-by-step explanation:

4n + 14 - 5n = -6

(4n - 5n) + 14 = -6      Combine like terms

-n + 14 = -6

    -14    -14                Subtract 14 from both sides

-n = -20

/-1    /-1                        Divide by -1

n = 20

Answer:

n = 20

Step-by-step explanation:

[tex]4n+14-5n=-6[/tex]

So we have to simplify the equation.

4n + -5n = -n

So our equation looks like this now -> [tex]-n+14=-6[/tex].

So now to get -n by itself we get 14 and -6 by itself.

So we do -6 - 14 and we get -20.

So our equation looks like [tex]-n=-20[/tex].

So now we have to make n positive we do -n ÷ -1 which is n.

And since we divided -n by -1 we have to divide -20 by -1 which is 20.

So n is 20.

Answer:

14 feet OR 168 inches

Step-by-step explanation:

4 tables multiplied by 42 inches equals 168 inches total

168 inches divided by 12 inches per feet equals 14 feet.

Answer:

4.4 km/h

Step-by-step explanation:

From the graph you can see she was at the shop after 30 minutes. If you travel 2.2 km in 30 minutes, your speed is 2.2 / 0.5 = 4.4 km/h

So the trick is to express the 30 minutes as 1/2 hour.

Answer:

4.4 km/h

Step-by-step explanation:

Answer:

24 cm

Step-by-step explanation:

To find the perimeter of the shape:

3+3+6+6=18

Perimeter of rectangle is 18

Triangle is equilateral, and therefore, all it’s sides are the same.

The final step is:

3+3+6+6+6= 24

Answer:

Option B. is the correct choice.

Step-by-step explanation:

Perimeter = 3+6+6+3+6

= 24 cm

Best Regards!

Answer:

D

Step-by-step explanation:

Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)

Answer:

B is the answer.

Step-by-step explanation:

[tex]x^{\frac{m}{n} } = \sqrt[n]{x^{m} }[/tex]  

[tex]\sqrt[4]{81^{5} }[/tex] =  [tex]81^{\frac{5}{4} }[/tex]

Answer:

About 2.6 feet

Step-by-step explanation:

The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side. Therefore:

[tex]\tan 17= \dfrac{x}{8.6} \\\\x=\tan 17 \cdot 8.6\approx 2.6[/tex]

Hope this helps!

Answer: 45°

Step-by-step explanation:

Given that :

∠A=5x−15°---(1)

∠B=2x+21°----(2)

Equating

∠A = ∠B

(5x−15)° = (2x+21)°

5x - 15 = 2x + 21

Collecting like terms

5x - 2x = 21 + 15

3x = 36

x = 12

Substitute x = 12 in either angle A or B since both are congruent

∠A=(5x−15)°

∠A = (5(12) - 15)°

∠A = (60 - 15)°

∠A = 45°

∠A = ∠B = 45°

Answer:

there is one possible value: 0.

Step-by-step explanation:

We have 10 different letters in this fraction {G,R,O,U,N,D,B,A,S,E} and only 10 different digits {0,1,2,3,4,5,6,7,8,9}. It means that some letter must be equal to 0. Consider two cases:

I case:

[tex]0 \in \{G, R, O, U, N, D\}[/tex]. Then enumerator of fraction must be equal to zero (because product of numbers with zero among them always zero).

So [tex]\frac{GROUND}{BASE} = \frac{0}{BASE} = 0[/tex] in this case.

II case:

[tex]0 \in \{B,A,S,E\}[/tex]. Then for the same reasons as in I case denominator of fraction is equal to zero. And we know that fraction

[tex]\frac{BASE}{0}[/tex] is not well-defined.

Answer:

Class A is using 60% salt solution while Class B is using a 50% salt solution. So Class A's solution is saltier. 3/5=0.60 which equals 60%. 2/4=0.50 which equals 50%. That's how I know it is saltier

Answer:

3/5 and 2/4

You can cross multiply

3 x 4 = 11

2 x 5 = 10

3/5 is bigger

You can also convert into decimal

3/5=0.6

2/4=0.5

Hope this helps

Step-by-step explanation:

Answer:

[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]

[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]

And the confidence interval would be:

[tex] 0.730 \leq \p \leq 0.890[/tex]

Step-by-step explanation:

Information given:

[tex] n=131[/tex] represent the sample size

[tex] \hat p=0.81[/tex] represent the estimated proportion

The confidence interval would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

For the 98% confidence interval the value of [tex]\alpha=1-0.98=0.02[/tex] and [tex]\alpha/2=0.01[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.

[tex]z_{\alpha/2}=2.326[/tex]

And replacing into the confidence interval formula we got:

[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]

[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]

And the confidence interval would be:

[tex] 0.730 \leq \p \leq 0.890[/tex]

Answer:

In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.

Step-by-step explanation:

Angles are measured in degrees ( °), using a protractor. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor. hope this helps you :)

Answer:  

24m-28

Step-by-step explanation:

(6m-7)x4

24m-28

Answer:

24m-28

Step-by-step explanation:

4 * 6m = 24m

4*-7 = -28

Answer:

C

Step-by-step explanation:

An apothem is a line segment connecting the center of a regular polygon to the midpoint of its vertex.

Answer:

C.  Linear decrease

Step-by-step explanation:

I can't really show a graph but I will try to explain

The water is leaking at a constant rate, meaning its not regaining it water (its only leaking). So if u were to graph this it would be a linear decrease

( That was a Terrible explanation but the answer is right lol)

Answer:

The first option from the picture

Step-by-step explanation:

In the picture attached, the question is shown.

In the first option:

The formula for calculating the standard deviation of sample data is expressed as    [tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

A lower value of the standard deviation shows that value is close to the mean otherwise it is far from the mean

The formula for calculating the standard deviation of sample data is expressed as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2}{N} }[/tex]

Assume we have the following data x1, x2, ....xn, the standard deviation will be given as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

Learn more on standard deviation here: https://brainly.com/question/475676

Answer:The answer is C 20 cm^3

Step-by-step explanation:

You just multiply 2 by 2 and get 4 and you have 5 squares and you get 4 times 5 which is 20 cm^3

Answer:

Divide the figure into 5 squares.

then find the area 1 square and multiply with 5.

Area of square=s*s

                       =4 cm²

Then 5*4=20 cm²

so c is the correct option.

              HOPE IT HELPS!

Answer:

A, B

Step-by-step explanation:

Point C is greater than 4 because it is at 6.

6 is greater than 4.

Point A is less than Point B, -8 is less than 4.

Answer:

After five hours, there will be 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.

Step-by-step explanation:

We are given that one-half of the caffeine in the bloodstream is eliminated every five hours.

We are also given that the initial amount is 80 mg.

Using this information, we can write the following function:  

[tex]\displaystyle f(x)=80\left(\frac{1}{2}\right)^{\dfrac{x}{5} }[/tex]

Where x is the number of hours that has passed.

Using this function, we can evaluate for f(5), f(10), f(1), and f(2).

They evaluate to:

[tex]f(5)=40[/tex]       [tex]f(10)=20[/tex]       [tex]f(1)\approx 69.6440[/tex]     [tex]f(2) \approx 60.6287[/tex]

So, after five hours, there are 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg of caffeine.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.