A tree casts a 25 m shadow when the angle of elevation to the sun is
40°. Approximately how tall is the tree?
25 m
A 25 m
B 19 m
C 21 m
D 16 m

A Tree Casts A 25 M Shadow When The Angle Of Elevation To The Sun Is40. Approximately How Tall Is The

Answers

Answer 1

Answer:

C. 21 m

Step-by-step explanation:

As shown in the picture, we need to use tan∅ (opposite over adjacent) to solve for the height of the tree:

tan40° = h/25

25tan40° = h

h = 20.9775

h ≈ 21 m


Related Questions

HELP ASAP, PLEASE!!!!​

Answers

Answer:

Fraction = 5/10 = 1/2

Decimal = 0.5

Step-by-step explanation:

Answer:

fraction-5/10 decimal-0.5

plz give brainiest

Step-by-step explanation:

The perimeter (distance around the triangle) of a triangular lot is 73 meters with Sides A, B, and C. Side A is 16 meters, Side B is twice the length of Side C. Find the length of Side C.

Answers

Answer:

Brainliest please

Step-by-step explanation:

perimeter is to add all sides

73m= 16+B+C

{ use algebra}

C is a, B is twice C, hence 2a

a+2a(+16)=73

3a=73-16= 57

3a=57, divide

a= 19

B=19×2= 38m

C=19m

C is 19m

Answer:

C = 19 m

Step-by-step explanation:

Side B is twice the length of Side C.

B = 2C -----------(I)

Perimeter = 73 m

A + B + C = 73

A + 2C + C = 73  {from (I)}

16 + 3C = 73

3C = 73 - 16

3C = 57

C = 57/3

C = 19 m


What is the value of this expression when g=-3.5?
8-12g-51

Answers

Step-by-step explanation:

If g=3.5 what about 12g

12g×3.5=42

8_42_51=_85

If f(x) =x/2+8, what is f(x) when x=10

Answers

F(10)= 10/ 2+ 8 = 13

Answer:

f(10) =13

Step-by-step explanation:

f(x) =x/2+8,

Let x = 10

f(10) =10/2+8,

      = 5+8

       = 13

Eldrick is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between the mean of each data set?

Answers

Answer:

15

Step-by-step explanation:

mean means add all the numbers and divide them by how many there are

plot 1: 63 divided by 9 equals 7

plot 2: 330 divided by 15 equals 22

so now we need to subtract 22 minus 7 equals 15

hope this helps

Answer:

15

Step-by-step explanation: you have to add all of the numbers and then divide the answer by the number of numers you added

any number that divisible by 3 is also divisible by 6 . Find a counterexample to show that the conjecture is false

Answers

Answer:

Counterexample: 21 which is divisible by 3 but not by 6.

Step-by-step explanation:

Use for example the number 21 which is divisible by 3 rendering 7, but not divisible by 6.

You can find any number with at least a factor of "3", but no factor "2" in it, so any odd number divisible by 3 would work as counterexample.

THIS IS A WHOLE PAGE ITS FOR 40 points MIDDLE SCHOOL PLEASE HELP

Answers

Answer:

the leanth of the track is 1/2 miles long.

Step-by-step explanation:

Im sorry that i couldn't complete all the questions, I had a family thing to go to so sorry.

The Goodsmell perfume producing company has a new line of perfume and is designing a new bottle for it. Because of the expense of the glass required to make the bottle, the surface area must be less than 150 cm2. The company also wants the bottle to hold at least 100mL of perfume. The design under consideration is in the shape of a cylinder. Determine the maximum volume possible for a cylindrical bottle that has a total surface area of less than 150 cm2. Determine the volume to the nearest 10mL. Report the dimensions of the bottle and he corresponding surface are and volume.

Answers

Answer:

Dimensions of the bottle

x (radius of the base ) = 3,99 cm

h (heigh of the bottle ) = 3,99 cm

Surface area  = 149,99 cm²

Volume of the bottle = 199,45 cm³

Step-by-step explanation:

The bottle volume  must be  V(b) = 100 ml     or   V(b) = 100 cm³

The shape of the bottle is cylindrical

Surface area of bottle is

S = surface area of the base + lateral area

Area of the base = π*x ²         where x is radius of circle

Lateral area is  2*π*x*h           where h is the heigh of the bottle

V(b) = π* x²*h                             (1)        

π*x²  +  2*π*x*h  < 150 cm²  we work with the limit  150

π*x²  + 2*π*x*h  = 150

h   =  (150 - π*x²) /2*x*π

Plugging that value in equation (1)

V(x) = π*x² * (150 - π*x²) /2*x*π   ⇒    V(x) = 150*π*x²/2*x*π  - π²*x⁴/2*x*π

V(x) = 75*x - π*x³/2

Taking derivatives on both sides of the equation

V´(x) =  75  - 3*π*x²/2

V´(x) = 0           75 - 3*π*x² /2  = 0

x² = 75*2 /3*π       ⇒   x²  = 15,92      ⇒  x = 3,99 cm

And  h = ( 150 -π*x² )/2*π*x

h = ( 150 - 49,98 )/25,05

h  =  3,99 cm

Dimensions of the bottle

x (radius of the base ) = 3,99 cm

h (heigh of the bottle ) = 3,99 cm

Surface area  = 149,99 cm²

Volume of the bottle = 199,45 cm³

 

A windshield wiper blade is 18 inches long. To the nearest square
inch, what is the area covered by the blade as it rotates through an
angle of 122 degrees? (Enter just a number for your answer.)

Answers

the answer is 22 degrees

The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.

We have,

The area of a sector can be calculated using the formula:

Area = (θ/360) * π * r²

where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sector.

The central angle is 122 degrees, and the radius of the wiper blade is 18 inches.

Substituting the values into the formula:

Area = (122/360) * π * (18²)

Area = (0.3389) * 3.14159 * 324

Area ≈ 344.77 square inches

Area = 345 square inches

Therefore,

The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.

Learn mroe about the area of sectors here:

https://brainly.com/question/1582027

#SPJ4

The tables for f(x) and g(x) are shown below.
х
f(x)
-11
-5
-2
1
1
13
5
29
х
-5
g(x)
-7
-1
-2
1
5
5
13
What is the value of (f-9)(5)?

Answers

Answer:

  16

Step-by-step explanation:

(f - g)(5) = f(5) -g(5)

From the tables, ...

  f(5) = 29

  g(5) = 13

Your desired function is ...

  f(5) -g(5) = 29 -13 = 16

Is 31.669 an integer?

Answers

Answer:

No

Step-by-step explanation:

Integers are whole numbers 1, 2, 3, 4, so on and so on

Answer:

No.

Step-by-step explanation:

Integers are whole numbers that are either negative or positive. They do not include decimals (if it did, it would then become a rational number, which 31.669 is).

I am being timed pls asap

Answers

Answer:

Writing it in matrix form

- 2 - 4 - 5 - 155

1 1 6 101

2 2 - 3 37

I hope this helps you

Last year, 1,345 bicyclists showed up to the bicycle race. This year, only 690 bicyclists showed up. Write the ratio of the number of bicyclists that showed up to the bicycle race for the past two years.

Answers

Answer:

138 : 269

Step-by-step explanation:

Last year, the number of bicyclists that showed up was 1345.

This year, there were 690 bicyclists.

The ratio of the number of bicyclists that showed up for the past two years is the ratio of those that showed up this year to those that showed up last year:

690 : 1345

Let us put it in simplest terms:

138 : 269

What is the equation of the following line written in slope-intercept form?
(1,5)
Oy=-5x
Oy= 5x
Oy=5/x​

Answers

Answer:

y = 5x

Step-by-step explanation:

The y intercept is 0 since it crosses the y axis at 0

The slope is rise over run

From (0,0) we go up 5 and to the right 1

5/1 = 5

Slope = 5

The slope intercept equation is

y = mx+b where m is the slope and b is the y intercept

y = 5x+0

y = 5x

Answer:

y=5x

Step-by-step explanation:

Orion is working with a data set that compares the outside temperature, in degrees Celsius, to the number of gallons of ice cream sold per day at a local grocery store.


The data has a line of best fit modeled by the function f(x) = 3x + 4 . Orion determines that when the temperature is 25∘C, the store should sell about 79 gallons of ice cream. The correlation coefficient of the data is 0.39.


Explain how accurate Orion expects the prediction to be.

Answers

Answer: kindly check Explanation.

Step-by-step explanation:

The function f(x) = 3x + 4 is a linear regression model. Orion's prediction was obtained by Substituting 25 for x to obtain the predicted variable

f(25) = 3(25) + 4 = 75 + 4 = 79.

However, with a correlation Coefficient of 0.39, which is a numerical value of range - 1 to +1 and is used to measure the statistical relationship between the dependent variable (number of gallons of ice-cream sold per day) and the independent variable (temperature).

The closer the correlation Coefficient (r) value is to +1 or - 1, the stronger the degree of correlation. Positive r values depicts positive relationship while negative r values depicts negative relationship. The closer the r value is to 0. The weaker the relationship and a r value of means there is no Relationship exists between the two variables.

With a correlation Coefficient of 0.39, we can Infer that that only a moderate positive relationship exists between temperature and gallons of ice cream sold per day.

How many ways are possible to choose 3 days out of February? NOTE: Use 28 days for the number of days in February. A) 3276 B) 378 C) 20475 D) 2925

Answers

Answer:

A) 3,276 ways.

Step-by-step explanation:

In this case, choosing February 1, February 12, and February 20 would be the same thing as choosing February 12, February 1, and February 20. So, since order does not matter, we will use a combination to solve the question.

The formula for combinations is...

n! / [r!(n - r)!], where n = the number of days in February (28) and r = the number of days you are choosing (3).

28! / [3! * (28 - 3)!]

= 28! / (6 * 25!)

= (28 * 27 * 26) / 6

= (14 * 9 * 26) / 1

= 14 * 9 * 26

= 126 * 26

= A) 3,276.

Hope this helps!

how do u find rate of change on a graph

Answers

Step-by-step explanation:

The correct answer is the vertical change divided by the horizontal change between two points on a line. We can find the slope of a line on a graph by counting off the rise and the run between two points. If a line rises 4 units for every 1 unit that it runs, the slope is 4 divided by 1, or 4.

Answer:

Calculate the rise over the run/the change in y over the change in x

Step-by-step explanation:

In order to find the rate of change on a graph from a slope, you need to look at how many units up and how many units to the right. Find a solid point on the graph for both the x and y directions. Count how many units go up and how many go right. Divide how many units go up by how many go to the right and that is the rate of change on the graph.

Given: x + 2y=-6.
Solve for y

Oy=x-6/2
Oy=-x+6/2
Oy=-x-6/2​

Answers

Answer:

y = (-x - 6)/2

Step-by-step explanation:

x + 2y = -6

2y = -x - 6

y = (-x - 6)/2

Anya graphed the line (y−2)=3(x−1) on the coordinate grid. A coordinate plane with a line passing through the points, (negative 2, negative 7), (0, negative 1), and (1, 2). What is the slope of Anya’s line? −3 −1 1 3

Answers

Answer:

Slope of Anya's line is m = 3

Step-by-step explanation:

Explanation:-

Given Anya graphed the line

                              (y−2)=3(x−1)

we know that  slope intercept form is

                                y = mx +c

now given Anya line

                           y−2=3(x−1)

            ⇒            y - 2 = 3x - 3

          ⇒             y = 3x - 3 + 2

         ⇒              y = 3 x - 1

Comparing slope -intercept form

                        y = mx +c

slope of Anya's line is m = 3 and y-intercept C = -1

Answer:

M=3

Step-by-step explanation:

Hope this helps!

The volume of a right circular cone with both
2507
diameter and height equal to his What is the
3
value of h?
A) 5
B) 10
C) 20
D) 40

Answers

Question:

The volume of a right circular cone with both diameter and height equal to h is 250/7 cm³.

What is the value of h?

Answer:

A. 5

Step-by-step explanation:

Given

Solid Shape: Cone

Volume = 250/7

Diameter = Height

Required

Find the height of the cone

Provided that the diameter (D) and the height (h) are equal; This implies that

D = h ------ (1)

Also, Diameter (D) = 2 * Radius (r)

D = 2r

Substitute 2r for D in (1)

2r = h

Multiply both sides by ½

½ * 2r = ½ * h

r = ½h

Volume of a cone is calculated by;

Volume = ⅓πr²h

⅓πr²h = 250/7

Substitute ½h for r

[tex]\frac{1}{3} * \pi * (\frac{1}{2}h)^2 * h = \frac{250}{7}[/tex]

Take π as 22/7, the expression becomes

[tex]\frac{1}{3} * \frac{22}{7} * (\frac{1}{2}h)^2 * h = \frac{250}{7}[/tex]

Open the bracket

[tex]\frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7}[/tex]

Multiply both sides by 7

[tex]7 * \frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7} * 7[/tex]

[tex]\frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250[/tex]

Multiply both sides by 3

[tex]3 * \frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250 * 3[/tex]

[tex]22 * \frac{1}{4}h^2 * h = 750[/tex]

Multiply both sides by 4

[tex]4 * 22 * \frac{1}{4}h^2 * h = 750 * 4[/tex]

[tex]22 * h^2 * h = 3000[/tex]

[tex]22 * h^3 = 3000[/tex]

Divide both sides by 22

[tex]h^3 = \frac{3000}{22}[/tex]

[tex]h^3 = 136.36[/tex]

Take cube root of both sides

[tex]h = \sqrt[3]{136.36}[/tex]

[tex]h = 5.15[/tex]

[tex]h = 5[/tex] (Approximated)

Please answer this question now

Answers

Answer:

m < S = 55°

Step-by-step explanation:

Based on tangent theorem, a tangent line is said to be perpendicular to a radius of a circle when they intercept. The point at which they meet is said to be at 90°.

Therefore, in the ∆PQS, given, m < P = 90°.

m < Q = 35°

m < S = 180° - (90° + 35°) (sum of the angles in a triangle)

m < S = 180° - 125°

m < S = 55°

Sample Response: I agree that fast food
obsen gave work experience to teenagers. At
the same time, I wonder how valuable this
work experience is in Rise Red Nation,
Soloer mentions that teenagers with these
jobs are not paid well and often do not learn
new skills. In addition, time on the job can
take away from their focus on school.
What did you include in your response? Check all
that apply
an acknowledgement of the other
participant's opinion
my opinion on the topic
examples to support my opinion
evidence from a text related to the discussion

Answers

Answer:

you can pick any of them

Step-by-step explanation:

Answer: Any are right

Step-by-step explanation:

Q3. Ishah spins a fair 5-sided spinner. She then throws a fair coin.



(i) List all the possible outcomes she could get. The first one has been done for you.



(1, H)











(ii) Ishah spins the spinner and tosses the coin.

Work out the probability that she will get a 2 and a head.









Answers

Answer:

see below

Step-by-step explanation:

1.

1, H - 2, H - 3, H - 4, H - 5, H

1, T - 2, T - 3, T - 4, T - 5, T

2.

2,H is one out of 10 possible outcomes, so the probability is 1/10

Given 1 ABCD and 2D = 1459, what is the measure of C?

A. 1450
B. 900
C. 105°
D. 35°
E. 80°
F. Cannot be determined

Answers

Answer= 35 degrees
The measure of angle C is 35, because inside a parallelogram all the opposite angles are the same so angle D = angleB and therefore angle C= angle A

Answer:

D

Step-by-step explanation:

Assuming the figure to be a parallelogram, then

The consecutive angles are supplementary, that is

∠ D + ∠ C = 180°

145° + ∠ C = 180° ( subtract 145° from both sides )

∠ C = 35° → D

PLEASE HELP IMMEDIATELY
Find x when[tex] - \frac{1}{2} + x = - \frac{21}{4} [/tex]

[tex] - \frac{23}{4} [/tex]
[tex] - \frac{19}{4} [/tex]
[tex] \frac{19}{4} [/tex]
[tex] \frac{23}{4} [/tex]

Answers

Answer:

[tex]x = - \frac{19}{4} [/tex]

Option B is the correct option.

Step-by-step explanation:

[tex] - \frac{1}{2} + x = - \frac{21}{4} [/tex]

Move constant to R.H.S and change its sign:

[tex]x = - \frac{21}{4} + \frac{1}{2} [/tex]

Take the L.C.M

[tex]x = \frac{ - 21 + 1 \times 2}{4} [/tex]

[tex]x = \frac{ - 21 + 2}{4} [/tex]

Calculate

[tex]x = - \frac{19}{4} [/tex]

Hope this helps...

Good luck on your assignment..

Step-by-step explanation:

-19/4 is the correct answer for your question

A $86 ,000 trust is to be invested in bonds paying 9% , CDs paying 6% , and mortgages paying 10% . The bond and CD investment together must equal the mortgage investment. To earn a $7180 annual income from the investments, how much should the bank invest in bonds?

Answers

Answer:

to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.

Step-by-step explanation:

Let the mortgage investment be X

The Bond to be Y

and the CDs to be Z

Thus;

X+Y+Z = 86000 ------- (1)

Y + Z = X       ------------(2)

10X + 9Y + 6Z = 7180 × 100 ------ (3)

So;we now have:

X+Y+Z = 86000 ------- (1)

Y + Z = X       ------------(2)

10X + 9Y + 6Z = 718000 ------ (3)

Let ; replace X with Y+Z in equation (1) and (3)

Y+Z + Y+Z = 86000

2Y + 2Z = 86000

Divide both sides by 2

Y+Z = 43000      ------ (4)

From equation (3)

10X + 9Y + 6Z = 718000

10(Y+Z) + 9Y + 6Z = 718000

10Y +10Z + 9Y +6Z = 718000

19Y + 16Z = 718000    -----(5)

Y+Z = 43000      ------ (4)

19Y + 16Z = 718000    -----(5)

Using elimination method; multiply (-16) with equation (4) and (5) ; so, we have:

 -16 Y -16 Z = -688000

 19Y + 16Z =    718000          

 3Y  + 0     =    30000            

3Y = 30000

Y = 30000/3

Y = 10000

From (4);

Y+Z = 43000  

So; replace Y with 10000; we have:

10000 + Z = 43000

Z = 43000 - 10000

Z = 33000

From (1) ;

X+Y+Z = 86000

X + 10000  + 33000 = 86000

X + 43000 = 86000

X = 86000 - 43000

X = 43000

Since we assume the bond to be Y and Y = $10000;

Thus; to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.

The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number. Also, If the tens digit is x, then the equation is: ___?

Answers

The number is 32
X-9=23

Nicole and Daniel are splitting a pizza. Nicole eats 1/4 of a pizza and Daniel eats 2/3 of it. How much is the pizza is left?

Answers

Answer:

The answer is 1/12

Step-by-step explanation:

pleaseeeeeeeeeeeeeee hellllllllllllp pleaseeeeee helpppppp​

Answers

You can use a compass or a protector to answer
-Use a protractor to measure the angles on question 10a
- use a ruler and a compass on the following question

For question 10b start by opening your compass to 2cm (use a ruler for this)
Draw it out
Double check it when you’re done - you should get 4cm as the diameter and 2cm for the radius

You don’t need to thank me, I hope this helped

I need help on this question fast!!

Answers

Answer: y=235x+15

Step-by-step explanation:

Plug in 4 for x

Y= 235(4)+15

Y= 955

Other Questions
Pleas answer in two minutes now In an orchard the ratio of apple trees to pear trees is 2 : 5, and the ratio of pear trees to peach trees is 3 : 4. Work out the ratio of apple trees to pear trees to peach trees. The problem of ________________ in insurance markets is that insurance companies are unable to ______________ . Group of answer choices Simplify 5x/x 20 answer choices a.1/2 b.x/2x c.x/2 Algebra 1 help. I got A After the fall of the Soviet Union in 1991, the popular political leader how many atoms are contained in 2.70g of aluminum provided that 32g of sulphur equals 6.02 10^(23)atoms In 2017, Costello Company performs work for a customer and bills the customer $10,000; it also pays expenses of $3,000. The customer pays Costello in 2018. If Costello uses the accrual-basis of accounting, then Costello will report:_____ a. revenue of $10,000 in 2018. b. revenue of $10,000 in 2017. c. net income of $7,000 in 2018. d. expenses of $3,000 in 2018. Find the difference.(3x4 - 5x2 - 4)-( 2x3 x2 + 1)w3x4 - 2x3 - 4x2-5a Complete the sentence using the negative form of the command in the first sentence.Ve a la gasolinera! No________a la tienda! PLEASE HELP ME QUICKLY PLEASE!!! Your community has a total of approximately 100,000 households. What percentage of households would be potential customers for The Shoe Hut? What percentage of households would be potential customers for Star's Coffee and Teas? PLZ HELP!!!!WILL MARK BRAINLIEST AND 20 POINTS!!! This timeline shows the settlement of North America. Timeline of the settlement of North America from 1500 to 1800. 1520 is labeled A, 1608 is labeled B, 1607 is labeled C, and 1756 to 1763 is labeled D. Which choice accurately fills in the timeline in order? Quebec was founded, Jamestown was founded, and the Seven Years' War was fought. Virginia was founded, Quebec was founded, and the French and Indian War was fought. Jamestown was founded, Quebec was founded, and the Seven Years' War was fought. The Virginia Commonwealth was founded, New France was founded, and the French and Indian War was fought. Miramar Tire and Rubber Company has capacity to produce 119,000 tires. Miramar presently produces and sells 91,000 tires for the North American market at a price of $99.00 per tire. Miramar is evaluating a special order from a South American automobile company, Ria Motors. Rio Motors is offering to buy 11,000 tires for $83.25 per tire. Miramar's accounting system indicates that the total cost per tire is as folows: Direct materials Direct labor Factory overhead (70% variable) Selling and administrative expenses (30% variable) Total 538 23 20 $95 Miramar pa s a sales commiss on equal to 5% of t e seling price on North American arders, whichis n uded in the variable portion of the selling and adm?n strative expenses. However, this special order would not havea sales comm saan. If the order was accepted, the tires would be shipped overseas for an additional shipping cost of $5.00 per tire. In addition, Rio has made the order conditional on Miramar Tire and Rubber Company receiving a Brazilian safety certification. Rio estimates that this certification would cost Miramar Tire $72,800 a. Prepare a differential analysis report for the proposed sale to Rio Motors, Round your answers to the nearest cent.b. What is the minimum price per unit that would be financially acceptable to mirama?Round your answers to the nearest cent. 2. Below is a circle with centre C. A, B, D, and Eare points on the circumference. BD is a diameter ofthe circle.Angle CDA is 18 Find the size of angle EDA.You must show your workings Which of these sentences include a prepositional phrase ? Solve the inequality find the sum of the series 81-27+9......-1/27. Which of the following are accurate descriptions of the distribution below? Choose all answers that apply: Choose all answers that apply: (Choice A) A The distribution has a peak from 9999 to 10 m10 \text{ m}10 m10, start text, space, m, end text. (Choice B) B The distribution has a gap from 6666 to 9999 m\text{m}mstart text, m, end text. (Choice C) C None of the above