A 36-foot-tall tree that is leaning toward the sun casts a 40-foot-long shadow when the sun is at a
41° angle of elevation. Approximately how many degrees does the tree lean?
a. 1°
c. 4°
b. 2°
d. 7°

Answers

Answer 1

Answer:

 64degrees

Step-by-step explanation:

Give the following

Height of tree H = 36feet

length of the shadow L = 40feeet

Requires

Angle of eleation

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin theta = H/L

Sin theta = 36/40

SIn theta = 0.9

theta  = arcsin0.9

theta = 64.16

Hence the required angle is  64degrees


Related Questions

5/14 x 7/30 in its simplest form

Answers

Answer:

Step-by-step explanation:

1/12

Help pleaseeeee thanks

Answers

Answer:

We know that 3 l 3 = 3.3, so the values of the stem and leaf plot would be;

4 l 8, 9

5 l 1, 6, 8, 8, 9

6 l 8, 9, 9, 9, 9

7 l 0, 2, 2, 2, 5, 5

8 l 0, 9

Hope this helps!

PLEASE HELP WILL CROWNNNNNN!!!!!

Answers

Answer:

12

7

2

- 3

- 8

Step-by-step explanation:

f ( - 2 )

= 2 - 5 ( - 2 )

= 2 - ( - 10 )

= 2 + 10

= 12

f ( - 1 )

= 2 - 5 ( - 1 )

= 2 - ( - 5 )

= 2 + 5

= 7

f ( 0 )

= 2 - 5 ( 0 )

= 2

f ( 1 )

= 2 - 5 ( 1 )

= 2 - 5

= - 5 + 2

= - 3

f ( 2 )

= 2 - 5 ( 2 )

= 2 - 10

= - 10 + 2

= - 8

I need help fast plz
You don’t need to show work

Answers

Step-by-step explanation:

uy6rhjf08yssyoludysyosyiwyeiwyowyiyiwywoyiw

help i need the value of X

Answers

Answer:

x = 20

Step-by-step explanation:

The square signifies the angle is 90 degrees.

All triangle interior angles add up to 180 so:

2x + 10 + 40 + 90 = 180

2x + 140 = 180

2x = 180 - 140

2x = 40

x = 20

Answer:

20

Step-by-step explanation:

2x + 10 + 40 + 90 = 180

2x + 140 = 180

180 - 140 = 40

40 / 2

20

x = 20

f. 10 20
30 40 50
60 70
20
Answer the following questions on multiples.
a. Write down the multiples of three from 474 to 483.
b. Write down the multiples of 5 between 718 and 733.
е
are 120,725,730.
c. Which of the following numbers in​

Answers

Answer:

i don't understand the question please

The nth term of sequence is n2 + 20
Work out the first three times of sequence

How many times in the sequence are less than 50

Answers

Answer:

First three terms:

22,24,26

There are 15 terms in the sequence that are 50 or less, yet only 14 if its just less than 50.

Answers:

The first three terms are 21, 24, 29

5 terms of the sequence less than 50.

======================================================

Explanation:

Plug in n = 1 to find that n^2+20 = 1^2+20 = 1+20 = 21. The first term is 21.

Repeat for n = 2 and you should get 2^2+20 = 24 as the second term.

The third term is 29 through similar steps, but this time you use n = 3 of course.

The first three terms are 21, 24, 29

It's effectively the first three perfect squares 1, 4, 9 but we have a tens digit of 2 stuck to the left of each value.

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

We want to find when n^2+20 is less than 50. We could keep plugging values of n into that expression and record if the result is less than 50 or not, then tally those occurrences. You should record 5 such occurrences.

Or we could do a bit of algebra like so

n^2+20 < 50

n^2 < 50-20

n^2 < 30

sqrt(n^2) < sqrt(30)

n < sqrt(30)

On a calculator, sqrt(30) is roughly 5.4772 which means n < 5.4772. If n is a a natural number, then the largest it can get is n = 5 to ensure n^2+20 is less than 50.

We can see that,

n^2+20 = 5^2+20 = 45 when n = 5n^2+20 = 6^2+20 = 56 when n = 6

This helps show that n = 5 is the largest n to make n^2+20 < 50 a true statement. This means that there are 5 terms of the sequence less than 50.

Peter had $4.80 to spend at the store. He spent 1/3 of the money on a model car, 1 /4 of the
money on glue, 1/8 of the money on paint. He spent the rest on a hot dog and soda. How
much money did Peter spend on the ...
model car?_________.
glue?_____________.
paint?___________ .
hot dog and soda?________.​

Answers

Answer:

model car?___$1.60______.

glue?_____$1.20________.

paint?_____$0.60______ .

hot dog and soda?___$1.40_____.​

Step-by-step explanation:

model car: $4.80/3 = $1.60

glue: $4.80/4 = $1.20

paint: $4.80/8 = $0.60

hot dog & soda: $4.80 - $1.60 - $1.20 - $0.60 = $1.40

Answer
2. 3/4 of Alice's salary is the same as 1/2 of Betty's salary. If Alice
earns $200 less than Betty, how much does Betty earn?

Answers

Answer:

Betty = $600

Step-by-step explanation:

3/4 of Alice's salary is the same as 1/2 of Betty's salary

(3/4)a = (1/2)b

multiply both sides by 2

(3/2)a = b

Alice earns $200 less than Betty

b - a = 200

Substitute for b

(3/2)a - a = 200

(1/2)a = 200

multiply both sides by 2

a = 400

b = (3/2)400

b = 600

A two-sample t-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a null hypothesis of no difference in population means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means?

Answers

The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.

A test statistic is a numerical value calculated from sample data in hypothesis testing.

Given that

Sample 1: Store M

Sample size, [tex]n_1[/tex] = 35,

Sample mean, [tex]\bar{X_1}[/tex] = 300,

Standard deviation, [tex]s_1[/tex] = 40.

Sample 2: Store V

Sample size, [tex]n_2[/tex] = 40,

Sample mean, [tex]\bar{X_2}[/tex] = 290,

Standard deviation, [tex]s_2[/tex] = 35.

The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,

[tex]\mu_1 =\mu_2[/tex].

The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,

[tex]\mu_1 \neq\mu_2[/tex].

Under the null hypothesis, the test statistic is

[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]

  [tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]

Hence the test statistic is 1.145.

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solve the equation

f(n)=10⋅2n for n = 5

Answers

Answer:

f(5) = 100

Step-by-step explanation:

f(n) = 10•2n for n = 5

for n = 5 means we will plug in 5 for every instance of n.

f(5) = 10•2(5)

Multiply.

f(5) = 10•10

Multiply.

f(5) = 100

Hope this helps!

Will give brainliest

Answers

Answer:

I think the car's acceleration is 20 mph forward

Answer:

20m/s^2

Step-by-step explanation:

Acceleration is (Change in velocity÷change in time)

(20-0)÷ (1-0)

20

PLS HELP IF U WOULDNT MIND

Answers

Answer:

64 cm³

Step-by-step explanation:

The figure can be decomposed to two rectangular prism, one smaller person on top and one bigger prism beneath.

Volume = volume of smaller rectangular prism + volume of bigger rectangular prism

✔️Volume of smaller rectangular prism = L*W*H

L = 2 cm

W = 2 cm

H = 8 - 4 = 4 cm

V = 2*2*4

V = 16 cm³

✔️Volume of bigger rectangular prism = L*W*H

L = 6 cm

W = 2 cm

H = 4 cm

V = 6*2*4

V = 48 cm³

✔️Volume of the figure = 16 + 48 = 64 cm³

Here is a system of equations. Is (1,3) a solution to this system of equations? Explain how determined your answer. Show your work!

4x + 5y = 19

x + 5y = 16

Answers

Hi, here it is!
Hope this help…

Mr. Poplin asked his students to write the following expression: "Two to the fifth power plus seven squared" Which answer choice shows this expression? A 52 - 27 B (2-5) + (7.2) © 25-74 D 2572​

Answers

Answer:

B

Step-by-step explanation:

they rest The two by five and separate the square

What type of triangle is this triangle?

acute isosceles

obtuse isosceles

acute scalene

right isosceles

Answers

Answer:

Obtuse isosceles

Step-by-step explanation:

Since this is an obtuse isosceles triangle, the two missing angles must be acute angles.

Answer:

obtuse isosceles

Step-by-step explanation:

im kinda bad but since the top angle is obtuse its an obtuse isosceles

The train will take one hour, then the bus will take two and a half hours. I need to allow half an hour to change between them. How long will the whole journey take?​

Answers

Answer:

Step-by-step explanation:

answer: 4 hours

The Journey will take 4 hour.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The train will take one hour.

and, bus will take two and a half hours.

Also, half an hour to change between them.

So, the total time taken is

= 1 + 2.5+ 0.5

= 4 hours

Hence, the total hour is 4 hour.

Learn more about Unitary Method here:

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Drag each label to the correct location on the image.
Here is a multiplication sentence:
1 x (4 x 4) = 16
Drag the numbers and the parentheses to create an equivalent multiplication sentence that illustrates the associative property of
multiplication

Answers

Answer:

4 x (1 x 4) = 16

Step-by-step explanation:

1 x 4 = 4

4 x 4 = 16

can someone please help me on this

Answers

V= 64cm3

Regards,
Cee:)

Can someone help me step by step with this probelm please thanks a lot

Answers

1. A 3 letter word with a value of 14 could be MOB, 6+6+2=14

2. A word that has the same value as boat.
Well, BOAT (2,6,2,8) adds up to 18. A word with the same value could be CARS (2,27,7)

3. A 4 letter word I can think of is HELP (4,3,5,7) and the value is 19

-The other part where it says “my word has a value of 20- guess the word” it could be KITE (5,4,8,3)

Let f(x)=√3x and g(x)=x-6 What's the smallest number that is in the domain of fog?

Answers

9514 1404 393

Answer:

  6

Step-by-step explanation:

Maybe you have ...

  f(x) = √(3x)

  g(x) = x-6

Then ...

  f(g(x)) = √(3(x -6))

The square root function is only defined for non-negative arguments, so we require ...

  3(x -6) ≥ 0

  x -6 ≥ 0 . . . . . divide by 3

  x ≥ 6 . . . . . . . . add 6

The smallest number in the domain of f(g(x)) is x = 6.

The St. Croix junior hockey
team won 3 out of every 4
games it played.
The team played 56 games.
How many games did it lose?

Answers

Answer:

14

Step-by-step explanation:

56 divided by 4 is 14

What is the surface area of the pyramid?

Answers

✍️Answer:A) 160 in²

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

[tex]let ~b=8~m,h=6in[/tex]

[tex]SA=4(bh/2)+b^2[/tex]

[tex]=2(8)(6)+(8)^2[/tex]

[tex]=96+64[/tex]

[tex]=160in^2[/tex]

------------------------hope it helps...have a great day!!

if Lisa is 12 years old now how old was she at the age at 1/4 of her current age​

Answers

Answer:

3

Step-by-step explanation:

12/4=3

Which relation is also a function?​

Answers

A function does not have repeated “x” values, therefore the only function there is “A”

The relation represented by graph A can be stated as function.

Thus, option (A) is correct.

A) The graph have input values {-5, -4, 0, 3, 4, 7}

and, all input have distinct output values {7, 5, 0, -1, -5}.

So, the graph is function.

B) The set {(-8, 8), (-6, 5), (-6, 4), (-3, 1), (-1, 0)} is not function.

Here, the input value -6 have two distinct output 5 and 4.

C) The table is not function.

Here, the input value 15 have outputs 2 and 3.

and 20 have two distinct output as 4 and 5.

D) The graph is not function as using verticals line test the curve have two same input value with different output value.

Thus, option (A) is correct.

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4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00

Answers

Answer:

B is the answer trust me I already took the math.

Step-by-step explanation:

Asap,,,,,,,,,,,,,,,,,,,,,

Answers

Answer:

3n^2 -24n+36

Step-by-step explanation:

What is the effect on the graph of f(x) = 1 when it is transformed to
g(x) = 1 – 162
O A. The graph of f(x) is shifted 16 units up.
O B. The graph of f(x) is shifted 16 units to the left.
O C. The graph of f(x) is shifted 16 units down.
O D. The graph of f(x) is shifted 16 units to the right.

Answers

Answer: C) Shifted 16 units down

The minus 16 at the end is directly the reason why. Think of y = 1/x, and subtracting 16 from both sides to get y-16 = (1/x) - 16. The y-16 will shift every point down 16 units. For instance, the point (1, 1) moves to (1, -15).

PLEASE HURRY

Tameron rolls a 6-sided die 3 times.
What is the probability that he rolls a 5 on every roll?

A. 1/216
B. 3/216
C. 1/64
D. 3/64

Answers

Answers:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

W
Simplify the expression to
V3
6/3
divided by
2/3

Answers

i don’t know the answer but i also need this very bad
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