Item 16 A scale drawing of a triangular sign has a scale factor of 1:8. Which statements are true? The ratio of the area of the scale drawing to the area of the sign is 1:8. The ratio of the area of the scale drawing to the area of the sign is 1:16. The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:8. The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor.

Answer:

Brainliest

Step-by-step explanation:

A = 4.5

Area of triangle = Base(height)1/2

(3)(3)1/2 = 4.5

Answer:

4.5

Step-by-step explanation:

base(height)(1/2) = 3 x 3 x 1/2 = 4.5

12 three credit classes and two 2 credits

The number of two-credit and three-credit classes that students need to take is 5 and 10 respectively.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given,

Let's say the number of 2-credit classes is x while 3-credit classes are y.

Total classes, x + y = 15

Total credit 2x + 3y = 40

Solving both equations,

2(15 - y) + 3y = 40

30 - 2y + 3y = 40

30 + y = 40

y = 10

So, x = 15 - 10 = 5

Hence "The number of two-credit and three-credit classes that students need to take is 5 and 10 respectively".

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The Answer is B 21.5%

Step-by-step explanation:

Answer:

Parallelogram

Step-by-step explanation:

we will solve question using hints given in question

given

There two pairs of parallel opposite sides

1. since there are two pairs of  it means there 4 sides so the figure is quadrilateral

there are six possible types of quadrilateral possible

rectangle, square, rhombus, parallelogram,  kite or any irregular quadrilateral which has not any standard defined shape

2 . It is given that opposite sides are parallel

there are four such quadrilateral which have opposite side parallel

rectangle, square, rhombus, parallelogram

Thus these are possible figures

3. Four sides are not all the same length

Since square and rhombus have all the sides of same length thus we omit these probable figure

hence  probable figure left are

rectangle, parallelogram

4. figure has no right angles

since rectangle has right angle so it will also be omitted from the probable figure

Hence only probable figure left is parallelogram.

Parallelogram  is a quadrilateral with two two pairs of parallel opposite sides

and satisfying the above condition of

1. The four sides of not the same length

2. no right angles

This question is incomplete because the diagram of the sphere was not shown. Find attached to this answer the diagram for the sphere.

Answer:

a) The correct volume of the sphere = 113cm³

b) b) Hal's likely error was that

i) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)

ii) In addition to using the wrong formula, Hal did not use π in his calculation.

Step-by-step explanation:

a) The Volume of a Sphere = 4/3πr³

From the attached diagram, the radius of the sphere was given as = 3cm

π = 3.14

The volume of the sphere = 4/3 × 3.14 × 3³

= 113.04 cm³

We were told to round up to the nearest hundredth. Therefore, correct the volume of the sphere = 113cm³.

b) Hal's likely error was that

i) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)

ii) In addition to using the wrong formula, Hal did not use π in his calculation.

This means:

Surface Area of a Sphere = 4πr²

But Hal's used = 4r²

Where r = 3cm = 4 × (3cm)² = 36

Answer:

$30 in total.

Step-by-step explanation:

Since he owes 3 people 10 dollars each, you simply need to multiply:

10×3= $30 dollars in total.

Answer:

The skaters are 2.5 feet apart

Step-by-step explanation:

Firstly, please check attachment for diagrammatic representation.

To calculate the distance apart, this is same as the length PJ

To calculate this length, we can use the cosine rule as follows;

O^2 = P^2 + J^2 -2(P)(J)Cos 15

O^2 = 7^2 + 5^2 -2(7)(5)Cos 15

O^2 = 49 + 25 - 70Cos15

O^2 = 74 - 67.61

O^2 = 6.39

O = √6.39

O = 2.53

O = 2.5 feet to the nearest tenth of a foot

The distance between the skaters is 2.5m

Data;

To solve this problem we can use cosine rule for this since we have the value of two sides and an angle.

[tex]c^2 = a^2 + b^2 -2ab cos C[/tex]

Let's substitute the values into the formula

[tex]c^2 = 5^2 + 7^2 - 2*5*7*cos15\\c^2 = 25 + 49 - 67.61\\c^2 = 6.39\\c = \sqrt{6.39} \\c = 2.5m[/tex]

The distance between the skaters is 2.5m

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Answer:

L = 17 m W = 12 m

Step-by-step explanation:

Here is the answer.

The width of the rectangle is 12 meters, and the length is 17 meters, obtained by setting up equations based on the perimeter and the given relationship between length and width.

To find the length and width of the rectangle, we need to set up equations based on the given information. The question states that the length is 5m longer than the width, and the perimeter is 58m. Let's denote the width as w and the length as l. According to the problem, l = w + 5m.

The formula for the perimeter P of a rectangle is P = 2l + 2w. We can substitute the expression for the length into this formula:

P = 2(w + 5m) + 2w

Since we know the perimeter is 58m:

58m = 2(w + 5m) + 2w

58m = 2w + 10m + 2w

58m = 4w + 10m

48m = 4w

w = 12m

Now we can find the length:

l = w + 5m

l = 12m + 5m

l = 17m

The width of the rectangle is 12 meters and the length is 17 meters.

Answer:

6/9

Step-by-step explanation:

The probability of drawing a marble that is not green from a jar with 4 red, 3 green, and 2 blue marbles is 2/3 or 66.67%.

To find the probability of drawing a non-green marble from a jar containing red, green, and blue marbles, calculate the ratio of non-green marbles to the total marbles

Calculate the total number of marbles: 4 (red) + 3 (green) + 2 (blue) = 9 marbles in total.

The probability of drawing a non-green marble = [tex]\frac{(4~ red ~marbles + 2 ~blue ~marbles) }{9~ total ~marbles.}\\\frac{6}{9}[/tex]

Therefore, the probability of drawing a non-green marble is 6/9 or 2/3 (or approximately 0.67).

The correct answer is:

The volume of the pyramid is approximately 111.5 cubic inches, rounded to the nearest tenth of a cubic inch.

To find the volume of a pyramid, we can use the formula:

[tex]\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]

Given:

- Side length of the square base = 6.6 inches

- Height of the pyramid = 7.7 inches

First, let's find the area of the square base:

[tex]\[ \text{Area of square base} = \text{Side length}^2 \]\[ = 6.6^2 \]\[ = 43.56 \text{ square inches} \][/tex]

Now, substitute the values into the formula for the volume of a pyramid:

[tex]\[ \text{Volume} = \frac{1}{3} \times 43.56 \times 7.7 \]\[ \text{Volume} = \frac{1}{3} \times 334.632 \]\[ \text{Volume} = 111.544 \text{ cubic inches} \][/tex]

Rounding to the nearest tenth, the volume of the pyramid is approximately [tex]\( \boxed{111.5} \)[/tex] cubic inches.

The volume of the square-based pyramid is calculated using the formula for the volume of a pyramid, resulting in approximately 111.8 cubic inches after rounding to the nearest tenth.

The volume of a pyramid with a square base is calculated using the formula V = (1/3) x base area x height. First, calculate the base area, which is the side length squared. In this case, the base area is:

6.6 in x 6.6 in = 43.56 in²

Then, multiply the base area by the height and divide by 3 to find the volume:

V = (1/3) x 43.56 in² x 7.7 in
= 43.56 in² x 2.566 in
= 111.804 in³, which rounds to 111.8 in³ to the nearest tenth.

Therefore, the volume of the square-based pyramid is 111.8 in³.

Answer:

6/40 = cranberry juice, 30/40 = apple juice , 4/40 = orange juice

if you want to simplify these you can also write them as :

3/20 = cran. juice , 3/4 = apple juice, 1/10 = orange juice.

Answer:

3:15:2

Step-by-step explanation:

Answer:

i need to see the problem

Step-by-step explanation:

Can you post the diagram?

Answer: [tex](2x+5)(x+3)[/tex]

Step-by-step explanation:

[tex](2x^2+6x)+(5x+15)\\2x(x+3)+5(x+3)\\(2x+5)(x+3)[/tex]

Answer:

EDG 2021

Step-by-step explanation:

Step 2: C. 2x

Step 3: B. 5

Step 4: C. x + 3

Step 5: A. (x + 3) (2x + 5)

Answer:

10 x^2 + 8 x + 1

Step-by-step explanation:

Simplify the following:

8 x^2 + 2 x^2 + 7 x + x - 3 + 4

Grouping like terms, 8 x^2 + 2 x^2 + 7 x + x - 3 + 4 = (2 x^2 + 8 x^2) + (x + 7 x) + (4 - 3):

(2 x^2 + 8 x^2) + (x + 7 x) + (4 - 3)

2 x^2 + 8 x^2 = 10 x^2:

10 x^2 + (x + 7 x) + (4 - 3)

x + 7 x = 8 x:

10 x^2 + 8 x + (4 - 3)

4 - 3 = 1:

Answer: 10 x^2 + 8 x + 1

Answer:

[tex]10 {x}^{2} + 8x + 1[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} + x + 4 -3 + 7x + 8 {x}^{2} \\ = 2 {x}^{2} + 8 {x}^{2} + x + 7x + 4 - 3 \\ = 10 {x}^{2} + 8x + 1[/tex]

Answer: y=3/4x+5/4

Step-by-step explanation: First you simplify, so you divide 4 by everything and you get y=3/4x+5/4

Answer:

4y=3x-1

y=3/4x-5/4

Step-by-step explanation:

If a line is parallel to another, the gradient remains the same. So (if you have multiple choice answers), you can rule out the ones without a gradient of 3.

From there, you can either draw or visualise the y-intercept. Do this until you have found the line which is parallel to 4y=3x+1. Hope that made sense :)

Answer:

Camila

Step-by-step explanation:

you take 1/5 and make it 2/10. Then you see that there are 10 slices and since Beth and Camila ate in 10th's, Beth at 2 slices and Camila ate 3. So since Alice ate 2 slices its less than Camila. Therefore, Camila ate the most slices.

Answer:

1. 55.23   2. 52.31   3. 27.49   4. 347.05   5. 7.57

Step-by-step explanation:

Pretty self explanatory when viewing my answers, there is no trick question within this problem, you simply add 10 to the first 3 numbers, but leave the range and standard deviation the same.

Mean = $55.23

Median = $52.31

Mode = $27.49

Range = $347.05

Standard Deviation = $7.57

Mean: The mean represents the average value of the dataset.

Median: Median is the middle value of the dataset in which the dataset is arranged in the ascending order or in descending order.

Mode: The mode represents the frequently occurring value in the dataset.

Range: Range is the difference between the largest and smallest value in the data set

Standard Deviation: Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists.

Given, information about online purchases:

Mean = $45.23

Median = $42.31

Mode = $17.49

Range = $347.05

Standard Deviation = $7.57

After adding Shipping Charge of $10 to each purchase:

Since $10 is added to each value then,

New Mean = (∑x + n($10) )/n = ∑x/n + n ($10)/n

New Mean = $45.23 + 10

New Mean = $55.23

To find median, $10 will be added to the value of median.

New Median = $42.31 + $10

New Median = $52.31

To find mode, $10 will be added to the value of mode.

New Mode = $17.49 + $10

New Mode = $27.49

Range and Standard Deviation don't change if we add same value to each data point, It will remain same.

New Range = $347.05

New Standard Deviation = $7.57

Hence, the new mean, new median and new mode are $10 increased than the original ones, there is no change in value of range and standard deviation.

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Answer:

f(x) = x^2 - 12x + 20

Step-by-step explanation:

If 10 and 2 are zeros, then (x - 10) and (x - 2) are factors of the quadratic.

Multiplying these factors together, we get

f(x) = x^2 - 12x + 20

The quadratic function with zeros at 10 and 2 is f(x) = (x - 10)(x - 2) which simplifies to f(x) = x² - 12x + 20.

Given that the zeros of a quadratic function are 10 and 2, we can write the function as f(x) = a(x - 10)(x - 2). Here, a is a non-zero coefficient. For simplicity, we can choose a as 1. This gives us the function as f(x) = (x - 10)(x - 2).

Expanding this gives us: f(x) = x² - 12x + 20.

This function represents a quadratic equation that zeros at x = 10 and x = 2. Such a function can be represented on a graph with f(x) and x as axes. The roots, 10 and 2, will be the x-coordinates at which the graph intersects the x-axis.

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The letters in the word D-I-N-O-S-A-U-R can be arranged in 40,320 ways.

To find the number of ways the letters in the word D-I-N-O-S-A-U-R can be arranged, we can use the concept of permutations.

The word D-I-N-O-S-A-U-R contains 8 different letters. To find the number of arrangements, we can use the formula for calculating permutations of n objects taken all at a time, which is n!. In this case, n is equal to 8, so the number of arrangements is 8!.

However, there are some repeated letters in the word D-I-N-O-S-A-U-R.

The letter 'A' is repeated twice. To account for the repetition, we divide the total number of arrangements by the factorial of the number of times each repeated letter occurs.

In this case, 'A' appears twice, so we divide by 2!. So the final answer is 8! / 2!.

Simplifying the expression, we have 8! / 2! = 40,320.

Answer:

56 divided by 8 would equal or just 56/8=

Step-by-step explanation:

If you want to find how many packs there are, it would be 56 divided by 8 would equal p.

Answer:

86

Step-by-step explanation:

Given that there are 30 students in class 10R and the mean marks for the entire class was 70%. Therefore, total mark of class = 70 x 30 = 2100

Given that there are 20 boys in the class and the mean marks for the boys was 62 %. Therefore, total mark of boys = 62 x 20 = 1240

To calculate the mean mark for the girls we need to find the total number of girl and total mark of girls. total number of girl = 30 - 20 (boys) = 10 total mark of girls = total mark of class -  total mark of boys = 2100 - 1240 = 860 mean mark for girls = 860 / 10 = 86

Answer:

the answer is 1/12

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

The age of the spear head is of 1938 yers.

Step-by-step explanation:

The amount of carbon 14 after years is given by the following equation:

[tex]Q(t) = Q(0)e^{-rt}[/tex]

In which Q(0) is the initial amount and r is the decay rate.

The half life of carbon 14 is 5700 years.

This means that [tex]Q(5700) = 0.5Q(0)[/tex]

So

[tex]Q(t) = Q(0)e^{-rt}[/tex]

[tex]0.5Q(0) = Q(0)e^{-5700r}[/tex]

[tex]e^{-5700r} = 0.5[/tex]

[tex]\ln{e^{-5700r}} = \ln{0.5}[/tex]

[tex]-5700r = \ln{0.5}[/tex]

[tex]5700r = -\ln{0.5}[/tex]

[tex]r = -\frac{\ln{0.5}}{5700}[/tex]

[tex]r = 0.00012160476[/tex]

So

[tex]Q(t) = Q(0)e^{-0.00012160476t}[/tex]

We have to find:

t for which Q(t) = 0.79Q(0). So

[tex]Q(t) = Q(0)e^{-0.00012160476t}[/tex]

[tex]0.79Q(0) = Q(0)e^{-0.00012160476t}[/tex]

[tex]e^{-0.00012160476t} = 0.79[/tex]

[tex]\ln{e^{-0.00012160476t}} = \ln{0.79}[/tex]

[tex]-0.00012160476t = \ln{0.79}[/tex]

[tex]0.00012160476t = -\ln{0.79}[/tex]

[tex]t = \frac{-\ln{0.79}}{0.00012160476}[/tex]

[tex]t = 1938.43[/tex]

Rounding to the nearest year.

The age of the spear head is of 1938 yers.

Answer:

The actual answer is 2357

Answer:

0.65

Step-by-step explanation:

To get 13/20 to a decimal, the denominator needs to be multiplied by 5 to make it 100. If you multiply the denominator, you also have the multiply the numerator to make it equal. 13 x 5 is 65. The fraction is 65/100, which is 0.65 in decimal form.

13/20 as a decimal is 0.65.

To write 13/20 as a decimal, you can follow the hint provided.

First, we need to find a factor that will make the denominator 100. In this case, multiplying the denominator by 5 will give us 100.

So, we need to multiply both the numerator and the denominator of 13/20 by 5:

13/20 x 5/5 = 65/100

Now, we have 65/100 as the fraction.

To convert it to decimal form, divide the numerator by the denominator:

65 ÷ 100 = 0.65

Therefore, 13/20 as a decimal is 0.65.

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Answer:

x=3

Step-by-step explanation:

mark me brainliest

Answer:

the answer on edge 2021 is b) y=log3x

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Y = -3 Times X - 1

Step-by-step explanation:

y = mx + c

Here, m is the slope & c is the y-intercept

y = -3x - 1

Slope = -3

y intercept = -1

Answer:

The answer is 42

Step-by-step explanation:

and what he most likely did was

He subtracted 48 from 180 instead of 90.

YOUR WELCOME

Answer:

scatter plot. i believe.

Step-by-step explanation:

Final answer:

A graph that displays a collection of ordered pairs is known as a scatter plot, which shows the relationship between two variables using a Cartesian coordinate system.

Explanation:

A graph that displays a collection of ordered pairs is called a scatter plot. A scatter plot, also known as a scatter diagram, uses Cartesian coordinates to display values for two variables. It is a pictorial representation of the relationships of quantitative data, presenting individual points where the value of one variable determines the position on the horizontal axis (x-axis), and the value of the other variable determines the position on the vertical axis (y-axis). The pattern of these points on the graph helps to visualize any correlation between the variables being analyzed.

hi,  

you have  then :   2100 * 1.045 ^n  = 47 200

                                         1.045^n = 47200 /2100

                                          1.045^n = 472/21

                                                    n =  ln ( 472/21 )  / ln ( 1.045)

                                                    n ≈71 years

let's check :   2100 *1.045^70 = 45746,68   and  2100 *1.045^71 = 47805.28

Answer:

it is an enlargement ( I know) and the scale factor is 2.6 (I think. I can't do it without the image)

Step-by-step explanation:

Answer:

C The dilation is a reduction.

Step-by-step explanation:

Which statement about these rectangles is true?

A rectangle pre-image has a length of 4 and width of 2. A rectangle image has a length of 4 (1.5) and width of 2 (1.5).