Deondra is 1.35 meters tall. At 10 a.m., she measures the length of a tree's shadow to
be 35.25 meters. She stands 31.2 meters away from the tree, so that the tip of her
shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.

Answers

Answer 1

Answer:

If the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be : 11.74m

Given:

Denora height=1.35 meters

Length =35.25 meters

Width =31.2 meters

Height of the tree=x

Proportion:

1.35 : 35.25 :: x : 31.2

Now let's determine the height of the tree:

35.25 - 31.2 / 1.35 = 35.25 / x

4.05 / 1.35 = 35.25 / x

Cross multiply

4.05x = 35.25 × 1.35

4.05x = 47.58

Divide both sides

x = 47.58 / 4.05

x = 11.74

In conclusion, if the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be: 11.74m


Related Questions

Which of the following values is less than −|62|?

Answers

Answer:

-63, -90, -1924. -|63|, etc

Step-by-step explanation:

-71 is the answer.Because -|62|, is -62, but if the negative were inside the two lines then the absolute number would’ve been just 62 not , negative 62 or -62. So the answer would be -71 is less than -62.

give the type of triangle that has these angles

27 degrees
63 degrees
91 degrees

Answers

Do you me 90 if so it’s a right angle
27 degrees = acute triangle
63 degrees = acute triangle
91 degrees = obtuse triangle

An angle is acute when it’s less than 90
And it’s obtuse when it’s greater than 90

I hope this helps!

2, 4, 8, 16, 32, 64, ... The number 4,096 belongs to this sequence. What is the number that immediately precedes it?​

Answers

8,192 because the next number in the sequence is found by being multiplied by 2. 2*2=4…4*2=8

Need these pleaseeeeee

Answers

(G) Is a function because it passes the vertical line test.
(H) Is not a function, does not pass the vertical line test.
(I) Not a function, does not pass the vertical line test.

Margot draws a shape with one pair of parallel lines that are four centimeters apart. She then flips the shape across a horizontal line.

How many pairs of parallel lines are in the flipped shape?

Answers

The flipped shape has a pair of parallel line

What are parallel lines?

A pair of line is said to be parallel lines when the lines tend to maintain equal distance apart and never intersect at any point. such lines has peculiar properties and are useful in mathematics.

Since a pair of parallel line do not intersect their is not angle between them.

What happens when a shape is flipped ?

Flipping a shape will change the position of the flipped shape to a new one. This activity does not add to the size of a shape or to the property of the shape.

Margot flipping a pair of parallel lines will not add or reduce the number of the parallel lines. It however creates point of intersection between the parallel line and horizontal line crossing the parallel line.

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What is the remainder when f(x) = x4 + 7x3 + 17x2 + 20x is divided by x2 + 4?

a
\large x^2+13x+7+\frac{-52}{x^2+4}

b
\large x^2+7x+\frac{13x-8}{x^2+4}

c
\large x^2+7x+13+\frac{5x-52}{x^2+4}

d
\large x^2+1+\frac{1}{x^2+4}

Answers

The reminder by dividing f(x)= x⁴ + 7x³ + 17x² + 20x is divided by x² + 4 is x² + 7x + (-13x² - 8x)/(x² + 4) so none of the given option is correct.

What is a number system?

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the dividend f(x)= x⁴ + 7x³ + 17x² + 20x and diviser x² + 4

The first time it will go to x²

Then,

Quotient = x²

Remainder = 7x³ - 13x²

The second time goes to 7x

Quotient = 7x

Remainder = -13x² - 28x

The third time it is not divisible so  (-13x² - 8x)/(x² + 4) will be the reminder.

Together it is  x² + 7x + (-13x² - 8x)/(x² + 4).

Hence "The reminder by dividing f(x)= x⁴ + 7x³ + 17x² + 20x is divided by x² + 4 is x² + 7x + (-13x² - 8x)/(x² + 4)".

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Value of x
Pls show steps

Answers

Answer:

x = 18

Step-by-step explanation:

Vertical angles are congruent.

4x + 3 = 75  Subtract 3 from both sides of the equation

4x = 72  Divide both sides by 4

x = 18

Find the value of y is x = -3

y = 4x² + 2x - 9

Answers

Determine the sign multiply

4x(-3)^2+2x(-3)-9

Evaluate

4x3^2-6-9

Multiply

4x9-6-9

Calculate

36-6-9

Answer : Y = 21 or 21

What multiplies to 26 and adds to 27

Answers

26 x1 =26
26+1=27
Here is the answer

Answer: 1 and 26

Step-by-step explanation:

A basic slime recipe calls for 1 part borax, 24 parts white glue, and 48 parts water. The relationship between borax, white glue and water is proportional. If Catalina has 3 tablespoons of borax and will use it all, how many cups of white glue will she need

Answers

Answer:

I am more on the sure side it's 8

Step-by-step explanation:

And if it isn't im so so sorry

First try was inco
Lemon earns a 3.2% commission as a salesperson. She sold a drone
for $146.97. What is the amount of Lemon's commission? Round your
answer to the nearest penny.
label required

Answers

The amount of Lemon's commission is $4.7

According to the question we have been given that

     Commission earned by Lemon = 3.2%

     Selling price of drone which is sold by Lemon  = $146.97

We need to find the amount of commission she earned by selling the drone.

The formula to be used to find the amount of commission is

                =  percentage of commission * selling price

putting the required value we get

               = 3.2% of $146.97

here 'of' is denoted as multiplication

thus,        =0.032 * 146.97

               = $4.7

Hence the amount of Lemon's commission is $4.7

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A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1700 seats. The students filled 442 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Answer:

26%

Step-by-step explanation:

Number of seats by 6th graders / Number of seats in total × 100% = Percentage of seats by 6th graders

442/1700 × 100% = 26%

Hope this helps! ^^

Suppose that a single die with 6 sides (numbered 1, 2, 3, ... , 6) is rolled twice. what is the probability that the sum of the two rolls equals 5 ?

Answers

The probability that the sum of the two rolls equals 5 is 1/16.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given a single die with 8 sides (numbered 1, 2, 3, ..., 8) is rolled twice, the total outcome will be:

Total outcome = 8^2

Total outcome = 64

For the sum of two rolls, the expected outcome will be:

E = {(1, 4), (4, 1), (3, 2), (2, 3)}

n(E) = 4

Pr(sum of the two rolls is 5) = 4/64

Pr(sum of the two rolls is 5) = 1/16

Hence the probability that the sum of the two rolls equals 5 is 1/16

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The following are the weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230.
find the 80th percentile.

Answers

The 80th percentile is 125.37.

It is required to find the solution.

What is percentage?

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The weights (in pounds) of seven people:

100, 115, 135, 140, 180, 197, 230.

We have to find the 80th percentile first we have to find the mean of seven people.

Mean=100+ 115+135+140+ 180+197+ 230/7

Mean=156.71

100 percent=156.71

80  percent=156.71*80/100

80  percent=125.37.

Therefore, the 80th percentile is 125.37.

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Carnegie Learning, Inc.

Victor drew a square with vertices at (1, 2), (3, 2), (3, 4), and (1, 4). He slides the square 5 units
up to create an image. What are the vertices of the image and the algebraic rule?
A (6,2), (8, 2), (8, 4), and (6, 4); (x + 5, y)
B (1,7), (3, 7), (3, 9), and (1, 9); (x, y + 5)
C (1, -3), (3, -3), (3, -1), and (1, -1); (x, y - 5)
D (1,-2), (3,-2), (3, -4), and (1,-4); (x, -y)

Why a is wrong?

And why b is correct

Answers

Answer:

B

Step-by-step explanation:

The y coordinate tells us when we are going up for down.  So the rule would be (x, y + 5)  So, the x coordinate stays the same and the y goes up 5.

(1,2)  The 2 is the y coordinate. It will increase by 5 and become (1,7)

(3,2)  The 2 is the y coordinate.  It will increase by 5 and become (3,7)

(3,4)  The 4 is the y coordinate.  It will increase by 5 and become (3,9)

(1,4) The 4 is the y coordinate.  It will increase by 5 and become (1,9)

Your bank offers you a 36-month, 3 pr car loan for a $50000 new mercedes slk300 roadster. what will your monthly payment be?

Answers

The monthly payment will be $1454.06048

You can calculate the Car Loan EMI Amount with the help of the mathematical formula: EMI Amount = [P x R x (1+R)^N]/[(1+R)^N-1] , where P, R, and N are the variables. This also means that the EMI value will change, each time you change any of the three variables. Let’s discuss these three variables in detail.

‘P’ stands for the Principal Amount. It is the original loan amount given to you by the bank on which the interest will be calculated.

‘R’ stands for the Rate of Interest set by the bank.

N is the number of years given for the repayment of the loan. As you must pay the EMIs each month, the duration is calculated in the number of months.

Here , P=$50000,R=3/12/100=0.0025,N=36 Months.

EMI=[50000 x 0.0025 x (1+0.0025)^36]/[(1+0.0025)^36-1]

= $1454.06048

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The test statistic value calculated by the statistical procedure selected is known as the?

Answers

The test statistic value calculated by the statistical procedure selected is known as the T-test.

What is a T-test?

The mean difference between two sets of observations is zero using the T-test, also known as the dependent sample t-test. When the population standard deviation is unknown, the student's t-test is a statistical tool for assessing assumptions about the mean of a small sample taken from a normally distributed population.

Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

Therefore, the test statistic value calculated by the statistical procedure selected is known as the T-test.

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The recommended mass m of a baseball is 145 grams. The actual mass is allowed to vary by up to 2 grams. What are the minimum and maximum allowed baseball masses?

Answers

The minimum and maximum allowed baseball masses are 143 grams and 147 grams

What are the minimum and maximum allowed baseball masses?

The given parameters are

Mass = 145 grams

Vary = 2 grams

This means that the allowed baseball masses are

Allowed baseball masses = Mass  ± Vary

This gives

Allowed baseball masses = (145 - 2, 145 + 2) grams

Evaluate

Allowed baseball masses = 143 grams, 147 grams

Hence, the minimum and maximum allowed baseball masses are 143 grams and 147 grams

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Dilate the figure by the scale factor. Then enter the new coordinates. A(-3,1) C(0,-4) B(2,4) K=7 A'([?], []) B'(11) C'([],[])​

Answers

The new coordinates are A'(-21, 7), B'(0, -28), C'(14, 28).

Dilating the given triangle by the scale factor means multiplying each coordinate by the given scale factor.

Given coordinates are A(-3, 1), B(2, 4), and C(0, -4).

The scale factor k = 7.

Let, the new coordinate obtained by dilating A with scale factor k be A'.

Then x-coordinate of A' = k × x-coordinate of A

⇒ x-coordinate of A' = 7 × (-3)

⇒ x-coordinate of A' = -21

And y-coordinate of A' = k × y-coordinate of A

⇒ y-coordinate of A' = 7 × 1

⇒ y-coordinate of A' = 7

So, A' → (-21, 7)

Let, the new coordinate obtained by dilating B with scale factor k be B'.

Then x-coordinate of B' = k × x-coordinate of B

⇒ x-coordinate of B' = 7 × 2

⇒ x-coordinate of B' = 14

And y-coordinate of B' = k × y-coordinate of B

⇒ y-coordinate of B' = 7 × 4

⇒ y-coordinate of B' = 28

So, B' → (14, 28)

Let, the new coordinate obtained by dilating C with scale factor k be C'.

Then x-coordinate of C' = k × x-coordinate of C

⇒ x-coordinate of C' = 7 × 0

⇒ x-coordinate of C' = 0

And y-coordinate of C' = k × y-coordinate of C

⇒ y-coordinate of C' = 7 × -4

⇒ y-coordinate of C' = -28

So, C' → (0, -28)

Refer to the image attached for the new triangle formed.

Therefore, the new coordinates are A'(-21, 7), B'(0, -28), C'(14, 28).

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The cost of bananas varies directly with the number of pounds bought. If 6 pounds
cost $5.22, find the cost of 3 pounds.

Answers

Answer:

$2.61

Step-by-step explanation:

So, We have $5.22 for 6 pounds of Bananas.

If we need to find the cost for 3 pounds, we would divide $5.22 by 2 because 6/2=3

In order to do this, we need to turn 5.22 into a whole number, so we multiply by 100

5.22*100=522

Now we divide

522/2 = 261

Now we divide 261 by 100, since we multiplied by 100 earlier.

261/100 =2.61

So our answer is $2.61 for 3 pounds of bananas .

Hope this helps! ^^

Answer:$2.61 for 3 pounds  

Thank for the  brainliest

Step-by-step explanation:first you divided $5.22/6  because the money always goes on the top and you get 0.87, you multiply 0.87 by 3 which is $2.61

One bridge design has supports that form an X in the center. Find the measure of each numbered angle.

Answers

The measure of angle is 52, 128 and 132

What are angles?

A  figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Given:

one angle = 52

So,

<2 = 52 (vertically opposite angle)

<1 + <2 = 180 ( linear pair)

<1 + 52 = 180

<1  = 128

and, <1 = < 3 ( vertically opposite angle)

<3 = 132

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Go to school kid and pay attention

Answers

Answer: ok i hope that the answer to this helps you out !!

Use the roster method to write the given set the set of integers x that satisfy 2x-1= -13

Answers

The only set of elements that satisfied the equation 2x-1= -13 is {-6}.

What is a set?

A set is a combination of specific quantities in which the meaning of each variable must be the same.

For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.

Another example could be a set of whole numbers like that.

Given the equation,

2x-1= -13

By taking -1 right-hand side

2x = -13 + 1 = -12

By dividing 2

x = -6

Hence "The only set of elements that satisfied the equation 2x-1= -13 is {-6}".

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3.5 lb of cheese for $8.94
$_
per lb

Answers

Answer:

your answer is $2.55

N (-5,2) Q (1,-5)
What is the length of QN

Answers

The length between the two points is 9.2 units.

Given points are:

Q(1,₋5)

P(₋5,2)

Let the two points be denoted as

Q(1,₋5) as (x₁,y₁)

P(₋5,2) as (x₂,y₂)

Distance between two points is calculated as:

d = √(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²

d = √(₋5 ₋ 1)² ₊ (2 ₋ (₋5))²

d =  √(₋6)² ₊ (7)²

d =  √36 ₊ 49

d =  √85

d = 9.2

Hence the length of QN is 9.2 units.

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Which relationships are likely to have a positive association? select all that apply.
a. the distance traveled on a trip and the travel time
b. the distance remaining on a trip and the travel time
c. the amount of money spent and the number of shirts bought
d. the height of an eighth- grade student and the time to complete a puzzle
e. the amount of money owed on a computer and the time making payments

would be great if someone helped :))

Answers

The relationships

a. the distance traveled on a trip and the travel time

c. the amount of money spent and the number of shirts bought

are have the positive associations.

Positive associations:

Two variables have a positive association when the values of one variable tend to increase as the values of the other variable increase.

Given,

Here we have the following relationships,

a. the distance traveled on a trip and the travel time

b. the distance remaining on a trip and the travel time

c. the amount of money spent and the number of shirts bought

d. the height of an eighth- grade student and the time to complete a puzzle

e. the amount of money owed on a computer and the time making payments

We need to find the positive associations in it.

Based on the definition of positive association,

The options (a) and (c) are the relationships that are in positive association.

Because while we look into the option (a),

When the traveling distance is increased then the time taken for it also increased.

Similarly in option (c),

While we increase the amount then the number of shirt we brought will also be increased.

The other options are not fit in this case.

So, option (a) and (c) are in positive association.

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Land's bend sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 8 sales receipts for mail-order sales results in a mean sale amount of $61.80 with a standard deviation of $17.75. A random sample of 13 sales receipts for internet sales results in a mean sale amount of $77.40 with a standard deviation of $29.75. Using this data, find the 90% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed.
A. Find the critical value that should be used in constructing the confidence interval. B. Find the standard error of the sampling distribution to be used in constructing the confidence interval.
C. Construct the 80% confidence interval.

Answers

The assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.

What is a random sample?A simple random sample (or SRS) in statistics is a subset of individuals (a sample) chosen at random from a larger set (a population) with the same probability. It is the process of selecting a sample at random.

To assume that the population variances are not equal and that the two populations are normally distributed:

Given:

n1 = 11 sample sizex1 = 79 for the sample means1 = 18.25 standard deviationn2 = 18 sample sizex2 = 96.70 for the sample means2 = 20.25 standard deviation

So, df = n1 + n2 - 2; 11 + 18 - 2 = 27.

T critical = T0.01, 27 = 2.473

Let,

S = sqrt[(s1²/n1) + (s2²/n2)]S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]S = 7.284

Then,

(μ1 - μ2) = (x1 - x2) ± T critical × S(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284(μ1 - μ2) = - 17.7 ± 18.013332

Now,

-17.7 - 18.013332 ; - 17.7 + 18.013332−35.713332 ; 0.313332

Therefore, the assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.

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If 0.25 cm represents 5 feet on a blueprint, what is the actual length of a room that is 8.5 inches long?

Answers

In proportion , 13 ft is the actual length of a room.

What in mathematics is a proportion?

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

0.25 inches       8.5 inches

----------------   = --------------

 5 ft                   x ft

Using cross products

0.25x = 8.5 * 5

Divide each side by 0.25

0.25x/0.25 =  8.5  * 5/0.25

x = 13

x = 13 ft

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Find the greatest common factor for each list of numbers 12,18,26,32​

Answers

2

2 goes into 12 six times
2 goes into 18 nine times
2 goes into 26 thirteen times
2 goes into 32 sixteen times

Work out the area of the rectangle

Answers

Answer:

11.2 or 11 1/5

Step-by-step explanation:

multiply it ez

Answer: Use a=wl, 13.3

Step-by-step explanation:

a=wl

4.75*2.8=13.

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