A rectangular floor tile is shown.
Its dimensions are given to the nearest 0.1 metres.
1.6m
The tile is only able to sustain a maximum pressure
of 200 Newtons per square metre (N/m²),
correct to the nearest 5 N/m².
9
10
11
2.3m

Answer: 40.82

Step-by-step explanation:

Use pythagoras theorem to solve

Root 35 squared + 21 squared = 40.82

Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

Answer:

weight = gxg = 12kg to g = 0.12 and then using formula we get 0.12x0.12 = 1.44 is the weight

Step-by-step explanation:

Answer:

Therefore, the weight of the object is approximately 117.72 Newtons.

Step-by-step explanation:

The weight of an object is given by the formula:

weight = mass x acceleration due to gravity

The acceleration due to gravity on Earth is approximately 9.81 m/s².

So, the weight of an object with a mass of 12 kg is:

weight = 12 kg x 9.81 m/s² = 117.72 N

Therefore, the weight of the object is approximately 117.72 Newtons.

To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

d

Step-by-step explanation:

Area of the inner circle = 3^2 π = 9 π

total area = 10^2 π = 100π

area of the shaded region

100π - 9 π = 91 π

The area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have:

The radius of the inner circle r = 3cm

The distance from the edge of the inner circle to the edge of the outer circle = 7 cm

So the radius of the outer circle = 7+3 = 10 cm

Area of the inner circle = π(3)²  = 9π square cm

Area of the outer circle = π(10)²  = 100π square cm

Area of the shaded region = 100π -9π = 91π square cm

Thus, the area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.

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Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).

In order to find the missing expression in Step 1, let's analyze the given steps and the final expression.

Step 1: ?

Step 2: -9 + 2 + 3

Step 3: -7 + 3

To find the missing expression in Step 1, we need to work backwards from Step 3 to Step 1.

In Step 3, the expression "-7 + 3" gives us a result of -4.

In Step 2, the expression "-9 + 2 + 3" gives us a result of -4.

So, the missing expression in Step 1 should also evaluate to -4 when performed correctly.

Let's check the available options:

[-10 + -1 + 2] + (2 + 3) = -11 + 2 + 5 = -4

[-8 - 1] + (2 + 3) = -9 + 5 = -4

[-10 + 1] + (2 + 3) = -9 + 5 = -4

[8 + 1] + (2 + 3) = 9 + 5 = 14

Out of the given options, only option 2, [-8 - 1] + (2 + 3), correctly evaluates to -4. Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).

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I hope this helps. Have a great rest of your day!

The teacher puts the names of all the students in a box and mixes them up, is a fair and unbiased method for choosing the five students.

A fair and impartial method of selecting the five kids is Option 1, where the teacher puts all of the students' names in a box and mixes them up. No matter where they are in the classroom or what gender they are, this system guarantees that every student has an equal chance of getting selected.

The fairest and most impartial way to select the five students who will be featured on the bulletin board is Option 1, where all of the kids' names are placed in a box and mixed up.

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Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

The product of 2.3 × 1.5 from the area model is 3.45

The product of two numbers implies the multiplication of the two numbers. Here, the two numbers to be multiplied together are decimal numbers.

Using the long multiplication method.

     2.3

×     1.5    

   1 1 5

+ 2 3      

  3 . 4 5  

So, what we did basically is to first multiply the two numbers normally and then, decide how many decimal places are the two numbers which two.

Therefore, the product of 2.3 × 1.5 from the area model is 3.45

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Answer:

578.2

Step-by-step explanation:

tan(56) = 1.48256096

1.48256096 * 390

578.1987744

CB=578.2m

Answer:

500, 300

Step-by-step explanation:

Assuming the rounding is for nearest 100,

635-124

600-100

500

864-612

900-600

300

The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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Answer:

21

Step-by-step explanation:

Answer:

6.7

Step-by-step explanation:

Answer:

u = 7

Step-by-step explanation:

Answer:

x = 16°

Step-by-step explanation:

What we know:

∠JML = 47°

∠JKL = (7x + 21)°

∠JML is an inscribed angle

∠JKL is an inscribed angle

Inscribed angles are half of the value of their intercepted arc

So if m∠JML = 47° then mArc JL is double that or 94°

And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so

mArc JL + Arc JML = 360°

94 + Arc JML = 360

Subtract 94 from both sides to isolate Arc JML

Arc JML = 266°

So if Arc JML = 266° then it's intercepted inscribed angle is half of that.

Arc JML ÷ 2 = ∠JKL

266 ÷ 2 = ∠JKL

133 °= ∠JKL

Now we can use this value and set it equal to the expression to find the value of x

(7x + 21) = 133

Subtract 21 from both sides to isolate the x

7x = 112

Divide both sides by 7

x = 16

Answer:

(4, 10)

Step-by-step explanation: you go 4 over from 2 and you get -2. if you go over 10 you get -5

Answer: y=-5/2x+13

Step-by-step explanation:

Since we are given the slope, we can plug it into our equation and use the point given to find the y-intercept.

y=mx+b

y=-5/2x+b

-2=-5/2(6)+b

-2=-15+b

b=13

Now that we know the y-intercept, we can complete the equation.

y=-5/2x+13

Answer: Should be 275%

Step-by-step explanation:

Answer:

Fraction: 26/3

Decimal: 8.6

Mixed Number: 8 2/3

Step-by-step explanation:

Hope this helps! Please mark as brainliest.

Thanks!

Answer:

\(78.5yd^{2}\)

Step-by-step explanation:

The formula to find the area of a circle of is: A = \(\pi r^{2}\)

However, the question wants to use 3.14 instead of pi.

We need to find the radius. The radius of the circle is half the diameter. So, the radius to 5 yards.

Now we just plug in the formula.

\(A=3.14*(5yd)^{2} \\A=3.14*25yd^{2} \\A=78.5yd^{2}\)

The solution to the inequality expression is n < -9

The inequality expression is given as

4n - 6(n + 1) > 12

Open the bracket in the above inequality expression

4n - 6n - 6 > 12

Evaluate the like terms

-2n > 18

Divide both sides by -2

n < -9

Hence, the solution to the inequality expression is n < -9

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Answer:

Step-by-step explanation:

1

Please find attached the required calculated values in the tree diagram in the attached figure created with MS Word.

A tree diagram consists of a schematic that has branches similar to the branches on a tree, used to display processes or relationships.

The percentage of the DVD the store sells that are Brand A = 50%

Percentage of the DVD player that are Brand B = 30%

Percentage of the DVD players that are Brand C = 20%

Percentage of the Brand A DVD players that need repair in the first year = 25%

Percentage of the Brand B DVD, players that need repair during the first year = 10%

Percentage of Brand C DVD players that need repair in the first year = 5%

Therefore, we get;

Brand A need service = 25% × 50% = 12.5%

Brand A Good Condition = (100 - 25)% × 50% = 37.5%

Brand B need service = 10% × 30% = 3%

Brand B Good Condition = (100 - 10)% × 30% = 27%

Brand C need service = 5% × 20% = 1%

Brand C Good Condition = (100 - 5)% × 20% = 19%

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Answer:

(a)2030

Step-by-step explanation:

I'm assuming the 100 at the end of the question is a typo.
In 2040, the son's age can be written as \(\frac{x}{3}\), where x equals the age of his father. In 2050, the son's age can be written as \(\frac{x-10}{2}\) (as ten years is added between 2040 and 2050). When equated to each other--> \(\frac{x-10}{2}\) = \(\frac{x}{3}\), we can first simplify by multiplying both sides to reach the least common denomination 6, giving us 3(x-10)=2x --->3x-30=2x--->x=30 is the dad's age. The son's age in 2040, 30/3, is equal to 10 years, meaning he was born in the year 2030 (a).