<
Find the surface area of the cube shown below.
units2
NIT

The percent error of the measurement, to the nearest tenth of a percent, is 4.54%

Percent error of the measurement:

Percent error is the difference between the estimated value and the actual value in comparison to the actual value and is expressed as a percentage.

In other words, the percent error is the relative error multiplied by 100.

The formula for percent error is:

PE = (|Estimated value-Actual value|/ Actual value) × 100

Here,

T = True or Actual value

E = Estimated value

Estimated length of a line = 2.1 inches

The actual length of the line = 2.2 inches

Error = 2.2-2.1=0.1inches

Percent error of the measurement = 0.1/2.2(100)=4.54.

PE=4.54%

So, the percent error of the measurement, to the nearest tenth of a percent is 4.54%

To know more about the percent error of the measurement:

https://brainly.com/question/21289513

#SPJ4

Salut/Hello!

Answer: a) £244 ; b) £17

Step-by-step explanation:
First we need to know the cost of one apple.
27.30 : 78 = £0.35

a) [I'm going to assume you meant 698 apples here]
£0.35 x 698 = £244.3 with the approximate of £244

b) £0.35 x 49 = £17.15 with the approximate of £17

I hope it was helpful! :]

Answer:

I have this same question what school do u go to?

Step-by-step explanation:

Answer:

it will take 6 minutes, just keep adding 1.4 to -8.4 until you reach 0

Step-by-step explanation:

Answer: It will take 6 minutes because all you need is to divide 8.4 and 1.4 (don't put the negative sign or ignore it)!

∠LJK = 37° and ∠KLJ = 69º. So, ∠JKH = 16°. This can be solved by using the concept of triangle.

Correct option: B

When two beams or straight lines intersect at one of their ends, an angle is created. The vertices of such an angles is the location where two points come together. The word angle is taken from the Latin word angulus, which means "corner."

Depending on the measurement, there are many angles in geometry. Basic angles are identified by their names: acute, obtuse, right, straight, reflex, and complete rotation.

ΔJKL consist of 3 angles: ∠LJK, ∠KLJ and ∠JKL

We are given the measures of ∠LJK and ∠KLJ

In order to find ∠JKH we must find the missing angle in the triangle

Remember that angles in a triangle add up to equal 180

If we are given two angles we can find the missing angle by subtracting the measures of the known angles from 180

so ∠JKL = 180° - 37° - 69°

180° - 37° - 69° = 74°

Hence, ∠JKL = 74°

Now to find ∠JKH:

Angles ∠K, ∠JKH and ∠JKL appear to be formed on a straight line

Angles formed on a straight line add up to equal to 180°

So, ∠K + ∠JKH  + ∠JKL = 180°

∠K is a right angle, indicated by the little square.

Right angles have a measure of 90° so ∠K = 90°

We have also calculated the measure of ∠JKH = ( 74° )

That being said we plug in the given values into the equation created earlier and solve for ∠mJKH

We would have 90° + ∠JKH + 74° = 180°

For calculation ∠JKH:

90° + 74° = 164°

now we have 164° + ∠JKH = 180°

or, ∠JKH = 16°

Hence the answer is B

To know more about triangle refer to:

https://brainly.com/question/1058720

#SPJ1

The complete question is as follows:

Answer: -4

Step-by-step explanation:Since subtracting a negative number is the same as adding a positive number, -12 - (-8) can be rewritten as -12 +8. Counting 8 up from negative 12 leaves us with negative 4.

Answer:

Why do you need to set up a graph for this equation?

Step-by-step explanation:

A grain of rice contains about 0.029 milliliters of volume.

A grain of rice is a tiny, ingestible seed that comes from either Oryza sativa (Asian rice) or Oryza glaberrima, two types of grass (African rice). A single grain of rice is round or oval in shape and measures about 3–4 millimeters in length. A grain of rice has a volume of 0.029 milliliters and a mass of approximately 0.05 grams. The type of rice and the method of processing affect the size and form of a single grain of rice. Over half of the world's population relies heavily on rice as a source of nutrition and as a staple food in many different cultures. Sushi, risotto, rice pudding, and many more recipes all use rice as an ingredient.

Learn more about volume here

https://brainly.com/question/16134180

#SPJ4

Angle A is congruent to angle c because they are both right angles. By the angle sum theorem, angle ADB is congruent to angle CBD.

A triangle is a closed polygon with three-line segments that intersect at each of its three angles. When the sides and angles of two triangles match, the triangles are said to be congruent. Thus, two triangles can be placed side by side and angle by angle on top of one another.

Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.

Side DB is congruent to side BD because they are the same segment.

Angle A is congruent to angle c because they are both right angles.

By the angle sum theorem, angle ADB is congruent to angle CBD.

By angle- side triangle congruence theorem, triangle BCD is congruent to triangle DAB.

Learn more about congruent triangles here:

https://brainly.com/question/22062407

#SPJ1

Answer:

1 n) = -2n^2 + 2

2 Let x be the number of chocolate hearts sold. The number of rose bouquets sold is x + 15. The total cost of the chocolate hearts is 3x and the total cost of the rose bouquets is 5(x + 15). The total cost of both products is 3x + 5(x + 15) = 3x + 5x + 75 = 8x + 75 = $339. Solving this equation for x, we get x = (339 - 75) / 8 = 64. So the number of chocolate hearts sold is 64.

3 The price of the ticket is increasing at a constant rate. This suggests that the price of the ticket is following an arithmetic sequence. The formula for the nth term of an arithmetic sequence is t(n) = a + (n-1)d, where a is the first term, d is the common difference, and n is the number of terms.

Using the given information, we can find the common difference, d = t(2) - t(1) = $60.50 - $55 = $5.50.

Now, to find the price of the ticket after 6 years, we can use the formula t(n) = a + (n-1)d where n = 6, a = $50, and d = $5.50.

So t(6) = $50 + (6-1)$5.50 = $50 + 5$5.50 = $50 + $27.50 = $77.50. So, the price of the ticket in 6 years will be $77.50.

Answer:

Step-by-step explanation:

13,18,23 are in arithmetic progression

The formula for the nth term of an AP is, Tn = a + (n - 1)d, where: 'a' is the first term of the AP and; 'd' is the common difference of the AP.

here a=13, d=18-13=5

Tn = a + (n - 1)d = 13+(n-1)5 = 13+5n-5 = 5n+8

Tn = 5n+8

Answer:

Step-by-step explanation:

2x-3

x=2

The length of the long piece of string before Janelle cuts it is 6 feet.

We can use the following equation to find the length s of the long piece of string before Janelle cuts it:

s = 4 * 1.5 feet

where 4 is the number of pieces and

1.5 feet is the length of each piece.

Therefore, s = 4 * 1.5 feet = 6 feet.

Multiplication is the process of taking one integer and multiplying it by a certain number of times. Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilise every day.

For more questions on Calculating the length of the longest piece

https://brainly.com/question/4871562

#SPJ4

Answer: 4(x + 3)

Step-by-step explanation:

8x + 12

= 4(2x + 3)

Answer: look below :))

Step-by-step explanation: Yes, 8x + 12 can be factored as follows:

8x + 12 = 4x + 6 + 4x + 6

= (4x + 6) + (4x + 6)

= 2(2x + 3) + 2(2x + 3)

= 2(2x + 3) + 2(2x + 3)

= 4(2x + 3)

So the factored form of 8x + 12 is 4(2x + 3).

A property of an isosceles triangle, which is the base angles of the are equal, can be used to show that ΔBCD us an isosceles triangle.

There are two equal edges and two equivalent angles in an isosceles triangle. The Greek words iso (identical) and Skelos are the source of the name (leg). Equilateral triangles are those in which all of the sides are equal, whereas scalene triangles are those in which none of the sides are equal.

The characteristics of an isosceles triangle are as follows:

Let assume,

∠DAB = ∠A,

∠DCB = ∠C,

∠ABC = ∠B

The steps to show that ΔABD is an isosceles triangle are as follows;

∠ABD = 72° = ∠ADB :- Base angles of the isosceles triangle ΔABD

∠A + ∠ABD + ∠ADB = 180° (angle summation property)

∠A = 180° - (∠ABD + ∠ADB) = 180° - (72° + 72°) = 36°

∠A = ∠C :- Base angles of the isosceles triangle ΔBDC

∠ADB = ∠C + ∠DBC :- Exterior angle of a triangle theorem

72° = ∠C + ∠DBC

∠BDC = 72° + ∠A

∠DBC + ∠BDC + ∠C = 180° (angle summation property)

∠DBC = 180° - (∠BDC + ∠C) = 180° - (72° + 36° + 36°) = 36°

∠DBC = 36° = ∠C

In ΔBCD, ∠DBC = ∠C

ΔBCD is an isosceles triangle :- definition of an isosceles triangle

To know more about isosceles triangle refer to:

brainly.com/question/1675130

#SPJ1

The percentage of a circle's circumference is 18.17%.

We have,

To determine the percentage of a circle's circumference cut off by an angle, we need to calculate the fraction of the total circumference represented by the given angle and then convert it to a percentage.

The total circumference of a circle is 360 degrees or 2π radians.

First, we convert the angle measure of 31.9 degrees to radians:

31.9 degrees = 31.9 x (π/180) radians

Next, we add the given angle measure of 1.5 radians to the converted value:

31.9 x (π/180) + 1.5 radians

To calculate the fraction of the circumference, we divide the sum of the angles by the total angle of a circle (2π radians):

(31.9 x (π/180) + 1.5) / (2π)

To express it as a percentage, we multiply the fraction by 100:

[(31.9 x (π/180) + 1.5) / (2π)] x 100

Evaluating this expression will give us the final value, which represents the percentage of a circle's circumference cut off by the given angle.

Performing the calculations:

[(31.9 x (π/180) + 1.5) / (2π)] x 100 ≈ 18.17%

Therefore,

The percentage of a circle's circumference is 18.17%.

Learn more about Circle here:

https://brainly.com/question/11833983 .

#SPJ12

An angle with a measure of 31.9 degrees plus 1.5 radians cuts off approximately 23.3% of a circle's circumference.

To determine the percentage of a circle's circumference cut off by an angle, we need to find the ratio of the angle's measure to the total angle of a circle (360 degrees or 2π radians) and then multiply it by 100 to express it as a percentage.

First, let's convert the angle measure of 31.9 degrees to radians:

1 degree = π/180 radians

So, 31.9 degrees = (31.9 × π) / 180 radians

Now, let's add the angle in radians to the converted value:

31.9 degrees + 1.5 radians = (31.9 × π) / 180 + 1.5 radians

Next, we calculate the ratio of the angle to the total angle of a circle:

Angle ratio = (31.9 × π) / 180 + 1.5 radians / 2π radians

Finally, we multiply the ratio by 100 to obtain the percentage:

Percentage = Angle ratio × 100

Let's calculate it:

Angle ratio = ((31.9 × π) / 180 + 1.5) / (2π) ≈ 0.233

Percentage = 0.233 × 100 ≈ 23.3%

Therefore, an angle with a measure of 31.9 degrees plus 1.5 radians cuts off approximately 23.3% of a circle's circumference.

Learn more about angle measure click;

https://brainly.com/question/31186705

#SPJ12

Answer:

Total decrease as a percentage 12.4%

Step-by-step explanation:

Please find the attachment for detail

The value of a is 12 and b is 10.39, for the given special right triangle.

A special right triangle is a right triangle with a regular feature that facilitates calculations on the triangle or for which straightforward formulas are available. Angles in a right triangle, for instance, could form straightforward relationships like 45°-45°-90°. Right triangle that is "angle-based" is what this is. When the side lengths of a right triangle form ratios of whole numbers, like 3:4:5, or of other unusual numbers, like the golden ratio, the triangle is said to be "side-based." Without using more complex techniques, one can quickly calculate different lengths in geometric problems by understanding the relationships between the angles or side ratios of these special right triangles.

The opposite sides of a 30-60-90 special right triangle are always in the ratio of 1:√3: 2.

so opposite of 30deg here is 6

as When opposite side 30deg is 6 then opposite side 90deg is 2(6)

a = 2(6)

a = 12

Now we have base = 6 and hypotenuse = 12

Use Pythagoras theorem

b [tex]= \sqrt{12^2 - 6^2}[/tex]

b = 10.39

Thus, The value of a is 12 and b is 10.39, for the given special right triangle.

To learn more about lengths

brainly.com/question/28108430

#SPJ1

Answer:

0.64

Step-by-step explanation:

16/25 = 0.64

The volume of the solid under the cone z = x2y2 and above the disk x2y2 ≤ 36 is 7056π. This was found by using polar coordinates and integrating the equation V = ∫∫∫r2sin(θ)dzdθdr with the limits of integration r = 0 to 6, θ = 0 to 2π, and z = 0 to x2y2.

The volume of the solid can be found by integrating the equation:

V = ∫∫∫r2sin(θ)dzdθdr

where r is the radius and θ is the angle of the polar coordinates.

The limits of integration are as follows:

r = 0 to 6

θ = 0 to 2π

z = 0 to x2y2

The integral is then:

V = ∫0 to 2π∫0 to 6∫0 to r2sin(θ)dr dθ

V = ∫0 to 2π∫0 to 6 r3sin(θ)θdr

V = ∫0 to 2π [r4sin(θ)]0 to 6 dθ

V = ∫0 to 2π 644sin(θ)dθ

V = 7056π

The volume of the solid under the cone z = x2y2 and above the disk x2y2 ≤ 36 is 7056π. This was found by using polar coordinates and integrating the equation V = ∫∫∫r2sin(θ)dzdθdr with the limits of integration r = 0 to 6, θ = 0 to 2π, and z = 0 to x2y2.

Learn more about volume here

https://brainly.com/question/16134180

#SPJ4

equation 3x+2y=8 the equation y= -3/2, x+2 represents the line parallel to the given equation and passed through the point (-2,5)

The concept of an equation in algebra is a quantitative statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

(formula of the line ) y= mx+c

y= -3/2+8/2

y= -3/2+4 ( m= -3/2)

this is given equation of the line

and its parallel line is

y-5/x+2 = -3/2

2y- 10 = -3x-6

3x+2y =4

2y = -3x+4

y = -3/2x+2

y = -3/2

x =2

To know more about quantitative visit:

https://brainly.com/question/14810759

#SPJ1

Based on the information, it can be inferred that the number of possibilities to write arch is 37

To find the number of possibilities there are to write the word arch we must analyze the graph. Once we identify the position of each letter we must carry out the following procedure.

Find how many possible combinations each letter has to form the word. In this case, to begin with, we only have 3 options to connect A with R. However, each R has at least 3 options to connect with the letter C, the R in the center has 5 possibilities to connect with the letter C.

On the other hand, each letter C has at least 4 possibilities of connecting with the letter H, and the middle C has 7 possibilities of connecting with the letter H.

To find the total number of possibilities we must add these values:

According to the above, we have 37 combination options.

Learn more about combinations in: https://brainly.com/question/1601688

#SPJ1

The critical values for a decision rule at a level of significance of 0.10 (i.e., a 10% significance level) depend on the type of hypothesis test you are conducting and the specific distribution you are using.

The decision criteria is based on certain test statistic results (for example, reject H0 if Z > 1.645). A given test's decision rule is determined by three factors: the research or alternative hypothesis, the test statistic, and the degree of significance.

A crucial value is the value of the test statistic that establishes the upper and lower boundaries of a confidence interval or the statistical significance threshold in a statistical test.

Critical values for a hypothesis test are determined by a test statistic that is particular to the type of test and the significance level, alpha, which specifies the test's sensitivity.

For more questions on critical values

https://brainly.com/question/29216453

#SPJ4

The volume of the solid generated when r is rotated about the line y=4 is 512/15π

In math the term called volume in math is defined as a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Here we know that let r be the region bounded by the parabola y=x² and the line y=4.

Then the volume of the solid generated when r is rotated about the line y=4 is calculated by using the formula,

=> V = π ∫ᵇₐ [(h - f(x))]² dx

Here we have to apply the values on it, then we get,

=> V = π ∫₋₂² [(4 - x²)]² dx

By Using symmetry this can be written as,

=> V = 2π ∫₋₂² [16 - 8x² + x⁴] dx

When Solving the integral, then we get,

=> V = 2π (16x - 8/3x³ + 1/5x⁵)²₀

Here by Applying the fundamental theorem of calculus, then we get,

=> V = 2π (16(2) - 8/3(2)³ + 1/5(2)⁵) - 2π (16(0) - 8/3(0)³ + 1/5(0)⁵)

When we simplify this then we get

=> V = 512/15 π

To know more about Volume here.

https://brainly.com/question/11168779

#SPJ4

The triangle with given vertices is not an isosceles triangle.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Let a triangle with vertices be A(-1 ,7), B(5, 5) and C(-2 ,1).

Using the coordinates A(-1, 7) and B(5, 5), we get

AB =√(5-7)²+(5+1)²

AB=√40

AB=2√10 units

Using the coordinates B(5, 5) and C(-2 ,1) we get

BC=√(-2-5)²+(1-5)²

BC=√65 units

Using the coordinates C(-2 ,1) and A(-1 ,7) we get

BC=√(-1+1)²+(7-1)²

BC= 6 units

Therefore, the triangle with given vertices is not an isosceles triangle.

To learn more about the distance formula visit:

brainly.com/question/27262878.

#SPJ1

If -8x + 2y = -10 and 7x + 6y = -3 are true equations what would be the value of 15x + 4y is Cross out the common factor: 7.

Verify your math to ensure that the values on either side of the equals sign are the same in order to create a genuine equation. To create a genuine equation, ensure sure the numbers on both sides of the "=" symbol are equal. For instance, the equation 9 = 9 is real. The equation 5 + 4 = 9 is accurate. The formula 6 + 3 = 9 is accurate.

Multiplying both side of a equation by a coefficient:{3(-8x + 2y) = -10 × 3, 7x + 6y = -3}

apply the distributive property {-24x + 6y = -30, 7x +6y -3}

Subtract the two equations: -24x + 6y - (7x +6y) = -30 - (-3)

Remove parentheses: -24x + 6y - 7x - 6y = -27

Cancel one variable : -24x - 7x = -27

Solve the equation: x = 27/31

Substitute into one of the equations: 7 × 27/31 + 6y = -3

Solve the equation: y = -47/31

The solution of the system is {x = 27/31, y = -47/31}

Substitute { x = 27/31 , y = -47/31  into 15x + 4y :: 15 × 27/31 + 4 × (-47/31)

Determine the sign of multiplication or division: 15 × 27/31 - 4 × 47/31

Write as a single fraction: 15 × 27 /31 - 4 × 47 /31

calculate the product or quotient: 405/31 - 188/31

Write the numerators over common denominators: 405 - 188/31

calculate the sum or difference: 217/31

Cross out the common factor: 7

To know more about true equations visit:-

https://brainly.com/question/23689345

#SPJ1

The sample space of rolling a six-faced dice is {1, 2, 3, 4, 5, 6}.

The sample space of an experiment is the set of all possible outcomes of the experiment. In the experiment of rolling a six-faced dice, the sample space is the set of all possible values that the dice can show when it is rolled.

Since a dice has six faces, each with a distinct number (1, 2, 3, 4, 5, or 6), the sample space of the experiment of rolling a six-faced dice is {1, 2, 3, 4, 5, 6}. This means that any time the dice is rolled, it can only show one of these six values.

It's important to note that the sample space is a finite set, as there are only a limited number of possible outcomes. In this case, the sample space contains only six elements, each representing one of the faces of the dice that can show up when it is rolled.

To know more on sample space

https://brainly.com/question/30206035

#SPJ4

So on solving the question Mary Ann saw each of these patterns of people while she was on the hill equation is 3x+2 and answer is 14.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra.

Mary Ann saw each of these patterns of people while she was on the hill:

1)All in groups of two, no leftover

2) All in groups of four, two left over

3)All in groups of three, two leftover

4)All in groups of five, four leftover.

So the number must give 2 as remainder when divided by 3.

So the number must be 4x+2 . So the number will be 3x+2 Thus from the above information, we can easily say that the number is 3*4+2 = 12+2 = 14

However , we have to check whether 14 matches the last part.

Groups of five in which 4 was leftover.

2 groups of 5 taken out of 14 (2*5) will have 4 as a remainder.

So the right answer is 14.

Answer :14

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

B. 34 1/5

Step-by-step explanation:

have a good day!