18. A tree casts a 76ft shadow when the sun is at a 41° angle of depression. Find the height of the tree.
Round to the tenths place.

Answers

Answer 1

Answer:

87.36 ft.

Step-by-step explanation:

Angle of depression : 41°

Length of shadow : 76 ft.

Taking the tan ratio (let the height of the tree be 'h') :

tan 41° = 76/h

0.87 = 76/h

h = 76/0.87

h = 87.36 ft.

Answer 2

Answer:

the height of the tree = 87.4 ft (Rounded to the tenths place)

Step-by-step explanation:

the tree form a right angle with the ground

Then , we have a right triangle .

let H be the height of the tree.

[tex]\tan 41=\frac{76}{H}[/tex]

[tex]\Longrightarrow H = \frac{76}{\tan(41)} = 87.427998948797[/tex]

18. A Tree Casts A 76ft Shadow When The Sun Is At A 41 Angle Of Depression. Find The Height Of The Tree.Round

Related Questions

Write the following fraction as a decimal number. 4/3/100 4.003 4.03 4.33 4.34

Answers

Answer:

133.3 <-- goes on forever

I think the rest are in decimal form.

combien font 3579+826

Answers

The answer is 4,405!!!

what is the measure of angle 7 ?

Answers

Answer:

97°

Step-by-step explanation:

Please see attached

The first number in a pattern is 208. The pattern follows the rule subtract 18. What are the next three numbers? (3 points)

a
195, 183, 172

b
190, 183, 176

c
190, 181, 172

d
190, 172, 154

Answers

Answer:

d) 190,172,154

Step-by-step explanation:

208-18=190

190-18=172

172-18=154

Which number sentence is represented by this model?

Answers

Answer:

Correct answer is B. -3 • 5 = - 15

Write down the coordinates of point A.
( ……… , ………)
b) The line L is shown on the grid. Find the equation of line L in the form of y = mx + c.

..............................

Answers

The coordinates of point A is: (-2, 5)

The equation of line L, in slope-intercept form, is: y = 1/2x + 2

What is the Equation of a Line?

In slope-intercept form, the equation of a straight line is given as, y = mx + b, where:

b is the y-intercept, which is where the line cuts the y-axism is the slope = change in y / change in x.

The coordinates of point A is: (-2, 5)

Slope (m) of line L = 2/4 = 1/2.

y-intercept (b) = 2

The equation of line L will be:

y = 1/2x + 2.

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Helpppppppppp meeeeeee pleaseeeeeeeee

Answers

Answer:

If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5

Answer:

49 and 51

Hope it helps

PLEASE HELP ME WITH THIS QUESTION!!!

Answers

9x²+3x-1=0

D=b²-4ac

= 3²-4×9×-1

=9+36

=45

x1= (-b+VD)/2a

= (-3+V45)/2×9

= (-3+3V5)/18

=(-1+V5)/6

x2=(-b-VD)/2a

=(-3-3V5)/18

=(-1-V5)/6

6a-2y>4

Solve inequality for y

Answers


y < -2 +3a

Isolate the variable by dividing each side by factors that don't contain the variable.

what is an event in which the outcome does impact the probability of the next event?

Answers

Answer:

Dependent Event

Step-by-step explanation:

Dependent Events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.

I need help on this please​

Answers

Answer:

Volume of a cone = (1/3) πr³

r = radius = d/2 = 2/2 = 1 ft

Volume = (1/3) * π * 1³

volume = 1.04 cubic ft

Please help help …….. pls
…..

Answers

Answer:

1) 1/2or 50%
2) 38/50 or 76%
3) 38/60 or 63%
4) not sure tbh

Step-by-step explanation:

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

62°

Step-by-step explanation:

We use the fact that the ratio of the sides of the triangle to the angles opposite them is given by the Law of Sines:

"In any triangle, the ratio of a side length to the sine of its opposite angle

is the same for all three sides"


[tex]\frac{a}{sinA} = \frac{b}{sinb} =\frac{c}{sinC}[/tex]

where A is the is the angle opposite side a, B the angle opposite to side b, C is the angle opposite to side c


For the given triangle we get
44/sin90 = 39/sin?

sin90 is 1 so we get 44/1 = 39/sin?

or cross-multiplying,

sin? = 39/44 = 0.886363..

? = sin⁻¹ (0.886363) = 62.42° ≈ 62° answer

Answer:

? ≈ 62°

Step-by-step explanation:

using the sine ratio in the right triangle

sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{39}{44}[/tex] , then

? = [tex]sin^{-1}[/tex] ( [tex]\frac{39}{44}[/tex] ) ≈ 62° ( to the nearest degree )

Round your answers to the nearest cent.
f(0) =
meaning the cost of buying
gallons of paint would be
in the context of the problem.
f(10)
, meaning the cost of buying
gallons of paint would be
in the context of the problem.
f(67.5)
meaning the cost of buying
gallons of paint would be
This interpretation
in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the
function is
=
This interpretation
=
This interpretation

Answers

The interpretations of the function values are: the cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively

How to interpret the function values?

The equation of the function is given as:

f(x) = 9√x

When x = 0, 10 and 67.5, we have:

f(0) = 9√0 = 0

f(10) = 9√10 = 28.5

f(67.5) = 9√67.5 = 73.9

Hence, the interpretations of the function values are:

The cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively

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HELP ASAP

Given the graph below, solve for the equation of the circle. Show your work and explain the steps you used to solve.

Answers

Answer:

(x + 3)^2 + (y - 3)^2 = 5^2

Step-by-step explanation:

They're not really much to show work. Looking at the graph we need to find the origin which is (h  ,k), and the radius.

(h , k) = (-3 , 3)

The radius is r = 5 because counting it from origin to the edge.

Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2

(x - (-3))^2 + (y - 3)^2 = 5^2

(x + 3)^2 + (y - 3)^2 = 5^2

PLEASE HELP ME I RELLY NEED IT

Answers

Kindly refer to the attachment.

In rectangle , opposite sides are equal so the value of KL is 45.6

Answer:

[tex]KL=45.6[/tex]

Step-by-step explanation:

Property of a Rectangle: Opposite sides are equal.

This means:

[tex]KL = JM \text{ where JM = 45.6}[/tex]

[tex]KL = 45.6[/tex]

What are the values of the function when x=-2 and when x=4

Answers

Answer:

g(-2) = 0

g(4) = -4

Step-by-step explanation:

The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.

Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.

x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.

x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.

A special-edition model of a smart watch is sold in gold, green, blue, or red. ernie's electronics sold 234 of these smart watches last week. they sold twice as many red watches as gold watches. they sold 3 times as many green watches as gold watches. they sold the same number of blue watches as green watches. how many green smart watches did the store sell last week?

Answers

The number of green watches that were sold is 78

How to determine the number of green watches?

The given parameters are:

Total =234Red = 2 * GoldGreen = 3* GoldBlue = Green

The number of watches can be represented as

Gold + Green + Blue + Red = 234

Substitute Blue = Green

Gold + Green + Green + Red = 234

Gold + 2 * Green + Red = 234

Substitute Red = 2 * Gold

Gold + 2 * Green + 2 * Gold = 234

Evaluate the like terms

2 * Green + 3 * Gold = 234

Make Gold the subject in Green = 3* Gold

Gold = Green/3

Substitute Gold = Green/3 in 2 * Green + 3 * Gold = 234

2 * Green + 3 * Green/3 = 234

Evaluate the product

2 * Green + Green = 234

Evaluate the sum

3 * Green = 234

Divide both sides by 3

Green = 78

Hence, The number of green watches that were sold is 78

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The left windshield wiper on a Chevrolet Traverse cleans an area of 500.3in ^2.when in motion it has a cleaning pattern that arcs 98 degree . What is the length of the windshield wiper? Approximate the length to the nearest inch.

Answers

The length of the windshield wiper to the nearest inch is 24 inches

How to calculate the area of a sector

The formula for calculating the area of a sector is given as:

A = r²β/2

r is the length of the wiper

β is the subtended angle

Given the following

A = 500.3 square in

β = 98 degrees = 98pi/180 = 49pi/90

Substitute

500.3 =  r²49pi/180
500.3 = 153.86r²/180

153.86r² = 90054
r² = 585.298

r = 24.19

Hence the length of the windshield wiper to the nearest inch is 24 inches

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Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
The area is 812ft

Answers

Answer:

about 98 dollars to cover the whole room in carpet  

Step-by-step explanation:

The Carpet costs $8.30 per square foot, so 812  ÷ 8.30 = 97 with remainder. Therefore 98 as a rounded total ✅

Does anybody understand this? QSRT is a Rectangle and SQR=55

Answers

Answer:

  90°; 55°; 35°; 110°; 70°

Step-by-step explanation:

A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.

Each of the triangles is isosceles. The figure is symmetrical about its center.

An exterior angle to a triangle is equal to the sum of the remote interior angles.

__

∠SRT = 90° . . . . a corner angle

∠STR = 55° . . . . symmetrical to the given angle

∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°

∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP

∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT

_____

There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.

The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.

how to solve x-3y=1 4x+5y=4 using elimination

Answers

Answer:

X=1, Y=0

Step-by-step explanation:

Solve for X and Y using a2 +b2 = c2

Question 1 (Multiple Choice Worth 1 points)
(03.01 MC)
Solve 7/3+2V9 and explain whether the answer is rational or irrational.
O The answer 9/12 is rational because the sum of a rational number and irrational number is a rational number.
The answer 9/12 is irrational because the sum of a rational number and irrational number is an irrational number.
The answer 773 +6 is rational because the sum of a rational number and irrational number is a rational number.
The answer 713+6 is irrational because the sum of a rational number and irrational number is an irrational number.

Answers

Answer:

The answer 7|3+6 is irrational because the sum of a rational number and irrational number is an irrational number.

A rectangle has a perimeter of 80 centimeter. its height is four times the length of its base. what is the lenght of its base?

Answers

Answer:

8 cm

Step-by-step explanation:

To find the length of the rectangle's base, form 2 equations using the given information.

Perimeter of rectangle= 2(height +base)

Let the lengths of the height and base of the rectangle be h and b cm respectively.

Perimeter= 80

2(h +b)= 80

h +b= 80 ÷2

h +b= 40 -----(1)

h= 4b -----(2)

Let's solve by substitution!

Substitute (2) into (1):

4b +b= 40

5b= 40

b= 40 ÷5

b= 8

Thus, the length of its base is 8 cm.

give answer in simplest form with working out pls​

Answers

Answer:

5 x 5+3/5= 25+3/5=28/5÷8/3

28/5 x8/3= 224/15 =14.93

I really need help (i will give brainlist) Which function has a greater y-intercept ... f(x) or g(x)?

g(x)


f(x)


They are the same.

Answers

Answer:

they are exacly the same

Step-by-step explanation:

Type the missing number in this sequence:
6, 8, 11, 15, 20,____,33

Answers

Answer: 26

Step-by-step explanation: the pattern is +2, +3, +4, +5. +6, +7

6+2 = 8

8+3 = 11

11+4 = 15

15+5 = 20

20+6 = 26

26+7 = 33

Answer:

26

Step-by-step explanation:

In this, the addition of numbers is starting from 2 and continue. Such as 6+2=8,then 8+3=11. Similarly the addition of numbers is continuing

Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today. Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.

Jackie randomly picks some clothes.

What is the probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt?

Answers

Answer:

2/9

Step-by-step explanation:

i just took a test with this exact question, and the answer was 2/9

youre welcome future learners ;)

A quantity y varies inversely with the square of x. if y=8 when x=3, find y when x is 4.

Answers

I think 7/2 im not definate

Please help! Im a bit confused, offering 25 points! This mix and match!

Answers

Addition:

Increased by, greater than, more than, sum

Subtraction:

Decreased by, decrease, less than, difference

Multiplication:

Times, equal groups, __ times as many, product

Division:

Quotient, divided by, goes into, split equally

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