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:
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
Related Questions
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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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
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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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
Explanation: You have two angles that are equal (79) on each side in which 2 equal angles.
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
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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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.
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
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:
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.
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
Need help with this topic
Answers
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
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]
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
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...
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
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
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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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
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.
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
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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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
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
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
Because 3*5=15 15*9=135
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]
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
negative using self reported delinquency
Answers
Answer:
Your question does not make sence
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