When the sun's angle of elevation is 76°, a tree casts an 18-foot shadow on the ground. Find the length of the tree to the nearest tenth of a foot.

Answers

Answer 1

Answer:

56.5 ft

Step-by-step explanation:

See the attached figure which represents the explanation of the problem.

We need to find the length of the tree to which is the length of AD

From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft

At ΔABD:

∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°

∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°

Apply the sine rule at ΔABD

∴[tex]\frac{AB}{SinD} =\frac{AD}{sinB}[/tex]

∴ 18/sin 18 = AD/sin 76

∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)

So, The length of the tree = 56.5 ft.

The answer is 56.5 ft

When The Sun's Angle Of Elevation Is 76, A Tree Casts An 18-foot Shadow On The Ground. Find The Length

Related Questions

Wrote 7/19 as a percent round to the nearest tenth of a percent

Answers

Answer:

36.8

Step-by-step explanation:

Hope this should do the trick if you can find this answer; 36.8.

If Sam invested $3,000 and he earned $300 over six months, the return is _____.

six months
$3,300
$300
$3,000

Answers

Answer:

ROI = 10.00%

Step-by-step explanation:

Investment Gain = $300.00

ROI = 10.00%

Annualized ROI = 21.00%

Investment Length = 0.50 years

Order the following from least to greatest.

0.98, 3/5, 4, 1/2, 0.4

Answers

Answer:

.4, 1/2, 3/5, .98, 4

Step-by-step explanation:

give me brainliest please

help me with this for 50 points.

Answers

Answer:

1/2 or 1:2

Step-by-step explanation:

3 circles to 6 squares

3/6 simplified is 1/2

The price of a television in a certain store was a dollars in June. On the first day of each month after June, the price was reduced by 20 percent of the price for the previous month. What was the price of the television during the month of Sep- tember?​

Answers

Answer:

0.8

Step-by-step explanation:

multiply 1.00 .20 4 times

URGENT! please answer. i'll give 5 stars + brainilest if correct

To estimate the height of a mountain, two students find the angle of elevation from a point (at ground level)
b
=
560
meters from the base of the mountain to the top of the mountain is
β
=
51

. The students then walk
a
=
1850
meters straight back and measure the angle of elevation to now be
α
=
34

. If we assume that the ground is level, use this information to estimate the height of the mountain.



The height of the mountain is
_____ meters.

Answers

Answer:

times the nimbers

Step-by-step explanation:

240

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = 5x/6 +5

Step-by-step explanation:

Points (-6,0) and (6,10)

Getting the slope

m = 10-0/6- (-6)

m=10/12

m=5/6

Solving for the equation:

where (-6,0) :

y-y1=m (x-x1)

y-0 = 5/6 (x- (-6))

y = 5/6 (x-+6)

y = 5x/6 +5

Answer:

y = 5x/6  + 6

Step-by-step explanation:

equation of a line is y = mx +b

m is the slope.

m = (y2- y1)/(x2-x1)

if we choose any two points in the line of the image..

p1 (6,10) -> x2 is 6, y2 is 10

p2 (0,5) -> x1 is 0, y2 is 5

m = (10-5)/(6-0)

m = (5)/(6)

m = 5/6

b is calculated when x = 0. (Where the line intercepts the y axis), Looking at the line in the image I can see that y = 6 when x = 0, so b =  6.

We have then

y = mx +b

y = (5/6)x  + 6

y = 5x/6  + 6

15. A cone has a radius of 9 cm and slant height of 12 cm. Find its surface area.
A. 593.46 cm²
B. 693.46 cm²
C. 793.46 cm²
D. 893.46 cm²​

Answers

Answer:

594

Step-by-step explanation:

A=πrl+πr²

(22/7×9×12)+(22/7×9²)

=594

A packet of biscuits is shared between two people so that
one person gets three times as many as the other. Write
down the ratio involved. If there are 20 biscuits in the
packet, how many does each person get?

Answers

Answer:

Ratio 3 : 1

First person 5 biscuits 

Second person 15 biscuits 

Step-by-step explanation:

“one person gets three times as many as the other”  means  “the ratio is 3 to 1 or just 3 : 1”

………………………

Let x be the number of biscuits that the first person got then the second person should get 3x biscuits.

It’s clear that we have to solve this equation:

x + 3x = 20

Solving:

x + 3x = 20

⇔ 4x = 20

⇔ x = 20/4 = 5

Final answer:

First person: 5 biscuits

Second person: 3×5 = 15 biscuits

A triangle has 2 angles that each measure 79º.
What kind of triangle is it?
O A. isosceles triangle
OB. equiangular triangle
OC. obtuse triangle
OD. right triangle

Answers

Answer: A ; Isosceles Triangle.
Explanation: You have two angles that are equal (79) on each side in which 2 equal angles.

whats the next term of arithmetic sequence 24,16,8,0

Answers

Answer:

-8, 16, ...

Step-by-step explanation:

You are subtracting 8 everytime. Therefore, you would go into negatives from here.

Answer:

24, 16 , 8 , 0

\/ \/ \/

-8 -8 -8

Step-by-step explanation:

for you to get 8 you subtract the first term with the second term

Is this figure a quadrilateral?
a.
c.
Cannot determine.
b.
no


Please select the best answer from the choices provided

A
B
C

Answers

Answer:

Yes its a quadrilateral

Step-by-step explanation:

It has 4 sides

Answer:

yes

Step-by-step explanation:

It is an irregular quadrilateral

Hope this helps

negative using self reported delinquency

Answers

Answer:

Your question does not make sence

The temperature fell 3.25 degrees every hour. Find the change in temperature after 5 hours

Answers

Answer:

The temperature would fall by 16.25°

Step-by-step explanation:

If it's 3.25 every hour and there are 5 hours total just multiply. 3.25 x 5 = 16.25.

If Mrs. Hamm divides 7 pounds of potting soil equally into three flower pots, what is the weight of potting soil in one flower pot? A) 3 7 pound B) 7 3 pounds C) 3 1 7 pounds D) 7 1 3 pounds

Answers

The weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have total weight of the potting soil = 7 pounds

It is divided equally into three flower pots.

So each pot contains = 7/3 potting soil

Thus, the weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

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Look at the diagram. Which angle is supplementary to A. B. C. D.

Answers

The angles supplementary. to ∠DOC are ∠DOA and ∠COB.

What is supplementary angle?

Two angles are called supplementary when their measures add up to 180 degrees.

1. Take, ∠COB:

So, ∠DOC+ ∠COB = ∠DOB = 180°. (Linear pair)

Hence,  ∠DOC and ∠COB are supplementary.

2. Now, take angle DOA:

∠DOC + ∠DOA = ∠COA = 180°.    (Linear pair)

Thus,  ∠DOC and ∠DOA are supplementary.

Hence, the angles supplementary. to ∠DOC are ∠DOA and ∠COB.

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Please see attached question 12 of 25

Answers

option d. 37/2 ÷ 17/4 is correct.

Step-by-step explanation:

[tex]18\ \frac{1}{2} \div 4\ \frac{1}{4} [/tex]

If we have equation like this , we have to simply multiply the denominator with the first term and the product we will get , add the numerator .

here we, multiply 2 with 18 and the product will be 36 , 36 + 1 = 37 . Similarly 4×4 = 16 and 16+ 1= 17 .

We have to put denominator as it is.

[tex] = > \frac{37}{2} \div \frac{17}{2} [/tex]

Need help with this topic

Answers

Answer: 243 ft^2


Explanation:

width = x
length = 3x
P = length + length + width + width
72 = 3x + 3x + x + x
72 = 8x
x = 9

width = x = 9
length = 3(x) = 3(9) = 27

area = (length)(width)
area = (27)(9)
area = 243 ft^2

A legal document contains pages numbered 1 through 50. What is the probability that the lawyer will flip to a page number
that is not a multiple of 4?
• Write your answer in fraction form. Reduce the fraction if necessary.
Provide your answer below:

Answers

Using it's concept, it is found that the probability that the lawyer will flip to a page number that is not a multiple of 4 is given by:

[tex]p = \frac{19}{25}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 50 numbers, of which 50 - (48/4) = 38 are not multiples of 4, hence the probability is given by:

[tex]p = \frac{38}{50} = \frac{19}{25}[/tex]

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Select the correct answer. A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day. Which function describes the difference of the number of components assembled per day by the experienced and new employees? A. B. C. D.

Answers

The function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Function N represents the number of components that a new employee can assemble per day.

N(t)=(50t)/(t+4)

Function E represents the number of components that an experienced employee can assemble per day.

E(t)=(70t)/(t+3)

In both functions, t represents the number of hours worked in one day. The function which represent the difference of the number of components assembled per day by the experienced and new employees is,

[tex]D(t)=\dfrac{70t}{t+3}-\dfrac{50t}{t+4}\\D(t)=\dfrac{70t(t+2)-50t(t+3)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7(t+4)-5(t+3))}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7t+28-5t-15)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(2t+13)}{(t+4)(t+3)}\\[/tex]

Thus, the function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].

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Answer:

D(t)= 10t(2t+13)/ (t+4)(t+3)

Step-by-step explanation:

512=-4(-2)^n-1 find n in geometric sequence

Answers

Answer:

n = 8

Step-by-step explanation:

512/-4 = -128

-2^? equals -128? Has to be odd since it's negative

-2^1 = -2

-2^3 = -8

-2^5 = -32

-2^7 = -128

But it's -2^n-1 = -128 so you have to add 1

7+1 = 8

So n=8

Answer:

n = 8

Step-by-step explanation:

Rearrange the equation to find n:

512/-4 = [tex](-2)^{n-1}[/tex]

-128 = [tex](-2)^{n-1}[/tex]

[tex](-2)^{7}[/tex] = -128

So, n-1 = 7

n = 8

What is the slope of the line?

Answers

Answer:

slope = 2 / 3

Step-by-step explanation:

slope = rise / run

rise = 2

run = 3

slope = 2 / 3

solve the expression 8+(9x1/3) divided by 3

Answers

Answer:

9

Step-by-step explanation:

8+(9x1/3) /3

=8+3/3

=8+1

=9

Question 2 of 10
The expression √3x is equivalent to the expression x√3.

Answers

Answer:

See below

Step-by-step explanation:

[tex]\sqrt{3}[/tex] x   IS equivalent to   x [tex]\sqrt{3}[/tex]

[tex]\sqrt{3x}[/tex]    is NOT equivalent to  x [tex]\sqrt{3}[/tex]

Question 4 of 10
If a tree diagram were drawn to determine the number of possible outcomes
when choosing one of 3 salads, one of 5 entrées, and one of 9 desserts, how
many leaves would there be?
O A. 17
OB. 45
C. 135

Answers

C. 135

Because 3*5=15 15*9=135

Margot has 8 kilograms of apples.how many liters Of apple juice can Margot make. How do l do this?????

Answers

Answer:

so about 4?

Step-by-step explanation:

1 kilogram = 1,000 grams

2 kilograms = 2 times 1,000 which equals 2,000 grams

2,000 grams makes one liter

uhh this is just an educated guess...

A square pyramid with a side length of 5 cm and a slant height 7 cm has a total surface area of ...?

Answers

Step-by-step explanation:

there are two types of collective internal and external

The probabilities for four different simple events are given. Of the four, which is LEAST LIKELY to occur?

Question 1 options:

0.01


0.35


0.5


0.9

Answers

Answer:

Step-by-step explanation:

We are supposed to find the least likely, which means we are looking for the smallest number.

.9 is the largest

.5 is next

.35 is second to smallest

A is the answer 0.01

Still stuck? Get 1-on-1 help from an expert tutor now.

Students measured the length of different earthworms using centimeters (cm).The lengths were:

14 cm, 12.5 cm, 13 cm, 18 cm, 17 cm, 16.75 cm, 19 cm, 12.5 cm, 15 cm

If the students were asked to describe the difference in length of the worms, which answer would be best and why? (5 points)

Group of answer choices

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length

12.5 cm; this is found by determining the mode which is found by finding the number that occurs most frequently in a data set

15 cm; this is found by determining the median which is found by ordering the numbers from least to greatest and finding the middle number

15.3 cm; this is found by determining the mean which is found by finding the sum of all of the lengths and dividing by the total number of worms

Answers

The correct option regarding the difference in the length of the worms is given by:

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.

What is the range of a data-set?

It is given by the difference of the highest value by the lowest value in the data-set.

In this problem, the difference is exactly what we want to estimate, hence we need to consider all measures(which removes the mode and the median), and find the largest lowest and the highest, which is the range, hence:

19 cm - 12.5 cm = 6.5 cm.

Which means that the correct option is given by:

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.

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Please assist with a question I am stuck on.

Answers

The two linear equations in this problem are:

a) d(t) = (3.1 mi/h)*tb) t(d) = d/(3.1 mi/h).

How to find the linear equations?

a) First, we know the relation:

distance = speed*time.

In this case, we know that the speed is 3.1 miles per hour, so if the runner runs for t hours, we can write:

d(t) = (3.1 mi/h)*t

This is the linear equation that gives the distance as a function of time.

b) Now we want to get the time as a function of the distance, so we just need to isolate t,

t(d) = d/(3.1 mi/h).

This linear equation gives the time as a function of the distance d.

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