A lumber mill needs one more tree cut down that is at least 41 feet long. The person cutting down the tree is 5 feet 3 inches tall. Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 36 inches. What is the length (to the nearest tenth of a foot) of the tree's shadow that will allow the tree to be cut down?

Answer: the minimum score required for a letter of recognition is 27.8

Step-by-step explanation:

Suppose ACT Mathematics scores are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = ACT Mathematics scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 21.3

σ = 5.3

The probability of students whose scores are in the top 11 % would be be (1 - 11/100) = (1 - 0.11) = 0.89

Looking at the normal distribution table, the z score corresponding to the probability value is .23

Therefore,

1.23 = (x - 21.3)/5.3

Cross multiplying by 8.6, it becomes

1.23 × 5.3 = x - 21.3

6.519 = x - 21.3

x = 6.519 + 21.3

x = 27.8 to the nearest whole number

Final answer:

The minimum ACT Mathematics score required to be in the top 11% with a mean of 21.3 and a standard deviation of 5.3 is approximately 27.85, which is usually rounded to 28.

Explanation:

Top 11% for ACT Mathematics Score Requirement

If ACT Mathematics scores are normally distributed with a mean of 21.3 and a standard deviation of 5.3, the score corresponding to the top 11% can be found by determining the z-score that corresponds to the 89th percentile (100% - 11% = 89%). To find this z-score, one would typically use a z-score table or a statistical software. Once the z-score for the 89th percentile is found, it can be converted to an ACT score using the formula:

Z = (X - μ) / σ

where Z is the z-score, X is the ACT score, μ (mu) is the mean, and σ (sigma) is the standard deviation. Solving for X:

X = Z×σ + μ

Assuming the z-score for the 89th percentile is approximately 1.23, the minimum required score for a letter of recognition would be:

X = 1.23×5.3 + 21.3

X ≈ 1.23×5.3 + 21.3

X ≈ 6.549 + 21.3

X ≈ 27.849

Therefore, the minimum score required for a letter of recognition would be approximately 27.85, which can be rounded as appropriate for the context (usually to the nearest whole number, giving a score of 28).

x = dimes

y = quarters

We also know:

Dimes: 0.10

Quarters: 0.25

100 = x + y

So, 0.10x + 0.25y = 100

And, y = 100 - x

Let’s use substitution:

0.10x + 0.25( 100 - x ) = 100

= 0.10x + 25 - 0.25x = 100

= 25 - 100 = 0.25x - 0.10x

= (-75) = 0.15x

x = (-75) divide by 0.15

x = (-500)

Answer:

a) no

Step-by-step explanation:

-The diagrams can be said to be mathematically similar if the dimensions of their corresponding sides enlarge or reduce by the same factor.

-We therefore determine the enlargement factor for both the radius and height as below:

-Let k be the scale factor

[tex]k_r=\frac{R}{r}\\\\=\frac{3.64}{2.6}\\\\=1.4\\\\k_h=\frac{H}{h}\\\\=\frac{10.192}{8.32}\\\\=1.225\\\\k_r\neq k_h[/tex]

Hence, the cylinders are not mathematically similar since the enlargment factors for the radius and height are not equal.

Answer:

Surface Area and Volume Unit Test

1. 14

2. hexagon

3. 224 m2

4. 896 pi in.2

5. 405 in.2

6. 49,009 m2

7. 4,910.4 yd3

8. 3.6 in

9. 4,608 cm3

10. 1,296 cm3

11. 1,442.0 yd3

12. 2,158 m2

13. no

14. 7 : 10

15. 100 m2

16. one-point perspective

17. 18.3 cm

Answer:

1944 Inches Squared

Step-by-step explanation:

Surface area Formula for a Cube:

[tex]A = 6a^2[/tex]

The "edge", which is also the side, is 18 inches.

[tex]a = 18[/tex]

Solve the formula.

[tex]A= 6a^2 = 6(18)^2 = 6 * 18^2\\18^2 = 324\\324 * 6 = 1944\\A=1944[/tex]

The cube's surface area should be 1944 square inches.

Answer:

Step-by-step explanation:

1944 Inches Squared

Step-by-step explanation:

Surface area Formula for a Cube:

The "edge", which is also the side, is 18 inches.

Solve the formula.

Answer:

The bottom equation is infinite solutions ( please give branliest)

2x - 6y = 18

x - 3y = 9

Step-by-step explanation:

Using substitution,

x=3y + 9

6x - 6x + 18 = 18

0 = 18 - 18

0 = 0

Answer: Last one:)

Step-by-step explanation:

Just did it

Answer:

The factored form of the polynomial is 11*(x+2)*(x-5/11). The root found was r = -2

Step-by-step explanation:

If you take a positive value of x, you will most likely obtain positive results, since 11x² + 17x ≥ 11 + 17 = 28 for x ≥1, which means that 11x²+17x-10 ≥ 28-10 = 18 > 0.

Therefore, we prove with negative values.

Therefore, -2 is a root. We can find the other knowing that

p(x) = 11*(x-r₁)*(x-r₂) = 11*(x-(-2)) * (x-r₂) = 11*(x+2)*(x-r₂)

The independent term is 11*2*(-r₂) = -22r₂ = -10

thus, r₂ = -10/-22 = 5/11.

Therefore, p(x) = 11*(x+2)*(x-5/11)

To write 11x2+17x−10 in factored form we find two numbers whose sum is 17 and product is -110. The correct pair is 2 and -55 which leads to the factored form (11x - 55)(x + 2).

The question involves factoring a quadratic expression, 11x2+17x−10. To re-write this expression in factored form, one needs to find two numbers, such that their sum equals to the coefficient of x, 17, and their product equals to the product of the coefficient of x² and the constant term (11*(-10)=-110). Diego started by listing all pairs of factors of the constant term, -10. The correct pair here, considering the product and the sum, are 2 and -55, because 2*(-55)=-110 and 2+(-55)=17. Therefore, our factored form will be: (11x - 55)(x + 2).

https://brainly.com/question/8342271

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Answer:

a. (√3)/2

b. 60 degrees.

Step-by-step explanation:

Please kindly check the attached files for explanation.

The sine of the angle is √3 / 2, and the measure of the angle is 60°.

Finding the Angle Between a Cable and the Ground

To determine the sine of the angle ( heta) between the cable and the ground, we need to use the horizontal and vertical forces exerted by the cable. We have a horizontal pull of 800 Newtons and a vertical pull of 800√3 Newtons.

First, we calculate the sine of the angle using the formula:

Sine ( heta) = Opposite / Hypotenuse

Here,
Opposite = Vertical Pull = 800√3 N
Hypotenuse = Resultant Force = √[(Horizontal Pull)^2 + (Vertical Pull)^2] = √[(800)^2 + (800√3)^2] = 1600 N

Thus,

Sine ( heta) = 800√3 / 1600 = √3 / 2

We know that the angle  heta with a sine value of √3 / 2 is 60 degrees (or  heta = 60°).

In conclusion, sine of the angle is √3 / 2, and the measure of the angle is 60°.

Answer:

(3n + 4) (n-2)

Step-by-step explanation:

Are you asking to factor this 3n^2 - 2n -8 ?

If so the best way to do this problem  is with the X method.

                                     top:    3*(-8)

    left:  factor of 3*-8                             right:  factor of 3*-8

                                   bottom:  -2

try the factors  4 and -6  because   4*-6 =  3 *-8 = -24

Because   notice that  4 + -6 = -2

so:

    3n^2 -2n - 8  can be rewritten as    3n^2  -6n + 4n  - 8

We should first use Distributive property to factor:  3n^2  -6n + 4n  - 8

3n^2  -6n + 4n  - 8  =   3n (n - 2)  +  4(n - 2)

Now we factor by grouping here :   (3n + 4) (n-2)  

I factored out the group  (n-2)

Therefore:  (3n + 4) (n-2) = 3n^2 -2n - 8

Russia obtained [tex]\( 5\% \)[/tex]of the total gold medals for the top 8 countries.

Let's denote the total number of gold medals obtained by Russia as [tex]\( x \)[/tex]. Since we know Russia got 3 gold medals, we have [tex]\( x = 3 \)[/tex].

Now, let's denote the total number of gold medals obtained by the top 8 countries (including Russia) as T. We're told that the total number of gold medals obtained by all top 8 countries combined is 60. Since Russia got 3 gold medals, the gold medals obtained by the other top 7 countries is [tex]\( T - 3 \)[/tex].

So, the percentage of gold medals obtained by Russia can be calculated as:

Percentage of gold medals obtained by Russia = [tex]\frac{\text{Number of gold medals obtained by Russia}}{\text{Total number of gold medals obtained by the top 8 countries}} \times 100\%\][/tex]

Substituting the known values:

[tex]\[\text{Percentage of gold medals obtained by Russia} = \frac{3}{T} \times 100\%\][/tex]

We know that the total number of gold medals obtained by the top 8 countries is 60, so [tex]\( T = 60 \).[/tex] Substituting this into the equation:

[tex]\[\text{Percentage of gold medals obtained by Russia} = \frac{3}{60} \times 100\%\][/tex]

Solving this equation:

[tex]\[\text{Percentage of gold medals obtained by Russia} = \frac{1}{20} \times 100\% = 5\%\][/tex]

So, Russia obtained [tex]\( 5\% \)[/tex]of the total gold medals for the top 8 countries.

Answer:

d

Step-by-step explanation:

hope this helps

Answer:Since each type of drink (lemonade, water, and juice) is equally likely to be chosen, the probability of choosing a type of drink is 1 in 3 picks. Thus, in order to get all three types of drinks, one must pick 3

Step-by-step explanation:

Answer:

I think the answer is 38.

Using stratified sampling concepts, it is found that the correct options are:

Stratified sampling divides the population into groups, called stratas, and a few elements of each group are surveyed.

In this problem, the households are divided to represents various​ locations, ethnic​ groups, and income brackets, hence, those are the stratas.

Stratified sampling is used because ensures that all segments of the population are represented.

You can learn more about stratified sampling at https://brainly.com/question/16252312

Answer:

X= 1 + 7/12

x = 1 - 7/12

Step-by-step explanation:

Answer:

[tex]x=\frac{19}{12}\\ or\\x=\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]6x^2-x-2=0[/tex]

a=6

b=-1

c=-2

[tex]x=-b\frac{+}{}\frac{\sqrt[]{b^2-4ac} }{2a}[/tex]

[tex]x=-(-1)\frac{+}{}\frac{\sqrt[]{(-1)^2-4(6)(-2)} }{2(6)}[/tex]

[tex]x=1\frac{+}{}\frac{\sqrt[]{1+48} }{12}[/tex]

[tex]x=1\frac{+}{}\frac{\sqrt[]{49} }{12}[/tex]

[tex]x=1\frac{+}{}\frac{7}{12}[/tex]

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

[tex]x=1+\frac{7}{12}[/tex]

[tex]x=1-\frac{7}{12}[/tex]

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

[tex]1+\frac{7}{12}=\frac{(1*12)+(7*1)}{12} =\frac{12+7}{12} =\frac{19}{12}[/tex]

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

[tex]1-\frac{7}{12}=\frac{(1*12)-(7*1)}{12} =\frac{12-7}{12} =\frac{5}{12}[/tex]

Answer:

532

Step-by-step explanation:

divide 5,320 by 10

Answer:I can't really tell what B says could you do another pic

Step-by-step explanation:

Answer:

Across the x axis.

Step-by-step explanation:

Answer:

175 cents

Step-by-step explanation:

1 quarter is equal to 25 cents.

Since there are 7 of them,

7 times 25 cents = 175 cents

Answer:

solution is (-2, -4)

Step-by-step explanation:

I assume you want the solution?

so we want to find the intersection.

3x -  2y  = 2

5x = 5y + 10

simplify the last equation

x = y + 2  by dividing out the 5

substitute

3*(y + 2) - 2y = 2

3y + 6 - 2y = 2

y  + 6 = 2

y = -4

x  = -4 + 2 = -2

solution is (-2, -4)

Final answer:

Three segments with lengths 4 cm, 6 cm, and 11 cm cannot form a triangle because the sum of the lengths of the two shorter sides is not greater than the length of the longest side, violating the Triangle Inequality Theorem.

Explanation:

To determine whether three segments with lengths 4 cm, 6 cm, and 11 cm can form a triangle, we must consider the Triangle Inequality Theorem. This theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. If we attempt to apply this to the given lengths:

4 cm + 6 cm > 11 cm (False)

4 cm + 11 cm > 6 cm (True)

6 cm + 11 cm > 4 cm (True)

Since the sum of the lengths of the two shorter sides (4 cm + 6 cm) is not greater than the length of the longest side (11 cm), these three segments cannot form a triangle, whether it is an acute triangle, right triangle, or obtuse triangle.

If they were able to form a triangle, to classify the type of triangle, we would use the Converse of the Pythagorean Theorem. This theorem helps us understand if a triangle is acute, right, or obtuse:

In a right triangle, the square of the length of the longest side (hypotenuse) is equal to the sum of the squares of the lengths of the other two sides.

If the square of the longest side is greater than the sum of the squares of the other two sides, the triangle is obtuse.

If the square of the longest side is less than the sum of the squares of the other two sides, the triangle is acute.

However, since a triangle cannot be formed with these segments, we do not need to apply these rules here

Answer:

(-12, 9)

Step-by-step explanation:

Answer:

0.18401015

Step-by-step explanation:

You should use an online calculator

Answer:

6,802

Step-by-step explanation:

Our first step is to change 76% into a decimal:

76% -> [tex]\frac{76}{100}[/tex] -> 0.76

Next, lets multiply and solve for x:

[tex]x=8,950(0.76)[/tex]

[tex]x = 6,802[/tex]

There were 6,802 public libraries that offered free access electronic books in 2012.

Answer:

6802 Libraries offered free electronic books.

Step-by-step explanation:

Answer:[tex]x \in (\frac{5}{3},\frac{19}{3})[/tex]

Step-by-step explanation:

Given

length of three sides are

[tex]3x, 7\ and\ 12[/tex]

according to Euclidean geometry

[tex]7+12>3x[/tex]

[tex]19>3x[/tex]

[tex]\frac{19}{3}>x[/tex]

also

[tex]3x+7>12[/tex]

[tex]3x>5[/tex]

[tex]x>\frac{5}{3}[/tex]

therefore value of [tex]x \in (\frac{5}{3},\frac{19}{3})[/tex]

If x is an integer then x can be [tex]2,3,4,5,6[/tex]

Answer:

2 yards

Step-by-step explanation:

[tex]\frac{218.16}{10.8\cdot 10.1}=2[/tex] yards. Hope this helps!

Answer:

get the brainliest duck

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Compare the given with the options to identify equivalents

A)

Not equivalent

B)

Not equivalent

C)

Not equivalent

D)

Equivalent

Answer:

cx

Step-by-step explanation:

Answer:

the answer is C 282

Step-by-step explanation:

The volume of the new building is 11,726,069,760 cubic inches, and its surface area is 51,555,840 square inches.

To find the volume and surface area of the new building, we first need to calculate the dimensions of the new building by scaling up the dimensions of the model by a factor of 144.

1. Dimensions of the new building:

  -[tex]Width: \(10 \times 144 = 1440\) inches[/tex]

  - [tex]Length: \(18 \times 144 = 2592\) inches[/tex]

  - [tex]Height: \(28 \times 144 = 4032\) inches[/tex]

2. Volume of the new building:

  The volume of a rectangular prism (building) is calculated by multiplying its length, width, and height.

[tex]\[Volume = \text{Length} \times \text{Width} \times \text{Height}\][/tex]

  Substituting the given dimensions:

 [tex]\[Volume = 2592 \times 1440 \times 4032\][/tex]

 [tex]\[Volume = 11,726,069,760 \text{ cubic inches}\][/tex]

3. Surface area of the new building:

  The surface area of a rectangular prism (building) is calculated by adding the areas of all six sides.

[tex]\[Surface\,Area = 2(\text{Length} \times \text{Width} + \text{Length} \times \text{Height} + \text{Width} \times \text{Height})\][/tex]

  Substituting the given dimensions:

[tex]\[Surface\,Area = 2(2592 \times 1440 + 2592 \times 4032 + 1440 \times 4032)\][/tex]

 [tex]\[Surface\,Area = 51,555,840 \text{ square inches}\][/tex]

So, when the new building is completed:

- The volume will be [tex]\(11,726,069,760 \text{ cubic inches}\).[/tex]

- The surface area will be [tex]\(51,555,840 \text{ square inches}\).[/tex]

Answer

25 percent

Step-by-step explanation:

Answer:

The correct answer is 100%

Step-by-step explanation:

:>

Answer:378

Step-by-step explanation:32 times 4=178 +250=378

Alice Jones's gross pay for the week is the sum of her hourly earnings ($128 from working 32 hours at $4.00 per hour) and her tips ($250), totalling $378.

To calculate Alice Jones's gross pay, we need to consider both her hourly wage and her tips. Alice worked 32 hours this week and was paid $4.00 per hour. This means her earnings from her hourly wage are:

32 hours times $4.00/hour = $128

Alice also earned $250 in tips. To find her gross pay for the week, we add her hourly earnings to her tips:

$128 + $250 = $378

Therefore, Alice's gross pay for the week is $378.