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

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

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

Answers

Answer:

3n^2 -24n+36

Step-by-step explanation:

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!!

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

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

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

can someone please help me on this

Answers

V= 64cm3

Regards,
Cee:)

5/14 x 7/30 in its simplest form

Answers

Answer:

Step-by-step explanation:

1/12

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

Answers

Step-by-step explanation:

uy6rhjf08yssyoludysyosyiwyeiwyowyiyiwywoyiw

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…

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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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.

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

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!

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)

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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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

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).

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!

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

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.

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

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

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

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

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:

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

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:

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.

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