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 1

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

When The Sun's Angle Of Elevation Is 76, A Tree Casts An 18-foot Shadow On The Ground. Find The Length

Related Questions

help i don't get it??​

Answers

Answer:

attached image

Step-by-step explanation:

Formula:

Discount = Regular price x (% / 100)        

you divided by 100 to change it into a decimal

Sale Price = Regular price - Discount


Six men take five days to complete a job. How long would
the same job take fifteen men?

Answers

Answer:

2 days

Step-by-step explanation:

Understanding :

Number of men is inversely proportional to the number of days taken to complete a job6 men take 5 days to complete 1Now the number of men is 15

Solving :

Rate of change of men ∝ 1/Rate of change of days15/6 ∝ 1/(d/5)2.5 = 5/dd = 2 days

The graph below could be the graph of which exponential function?
A. F(x) = 3x
B. Fx) = 3 • (1.4)^x
O C. F(x) = 3•(0.4)^x
O D. F(x) = 3 • (-1.4)^x

Answers

Answer:

The correct option is B.

Step-by-step explanation:

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

What is Exponential decay function?

Now, the general formula for exponential decay function is;

f(x) = abˣ

where b is the decay factor.

here, we have,

we know that,

Now, the decay factor which we will call the base of the exponent must be greater than 1 .

and, we have,

Also, the exponent x must be negative to be called an exponential decay function.

so, from the given graph we get,

Looking at the given options, only Option B meets the criteria for an exponential decay function.

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

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What is the area of the pizza? Explain how you know and the formulas that you used.

Answers

Answer:

90.24 in²

Step-by-step explanation:

Area of the pizza :

⇒ Area (rectangle) + Area (semicircle)

⇒ length × width + π × (radius)²

⇒ 8 x 5 + 3.14 x 4²

⇒ 40 + 3.14 × 16

⇒ 40 + 50.24

90.24 in²

The area of a 2D form is the amount of space within its perimeter. The area of the pizza is 65.1327 in².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the pizza = Area of semi-circle + Area of Rectangle

                                   = (π/2)r² + (d×h)

                                   = [(π/2)×4²] + (8×5)

                                   = 25.1327 in² + 40 in²

                                   = 65.1327 in²

Hence, the area of the pizza is 65.1327 in².

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Help plsss! I have no clue how to do this

Answers

Answer:

4

Step-by-step explanation:

Finding the mean :

105 + 106 + 120 + 111 + 109 + 104 + 110 + 115 / 8880/8110

Absolute Mean Deviation of each term :

|110 - 105| = 5|110 - 106| = 4|120 - 110| = 10|111 - 110| = 1|110 - 109| = 1|110 - 104| = 6|110 - 110| = 0|115 - 110| = 5

M.A.D. = 5 + 4 + 10 + 1 + 1 + 6 + 0 + 5 / 8

32/84

Solve for in each of the following statements. ( is the smallest positive integer to make each statement true.)

5+43≡ 9


18 − 12÷3≡ 5


3+5≡0 11

Answers

There is no variable unfortunately

We have to change question little bit

#1

5+43=9x9x=48x=48/9

#2

Rest are also meaningless as there is no variable

#3

(3+5)x=0.118x=0.11x=0.11/8

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 manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000.

Find the revenue function R when x energy drinks are sold.

Answers

Revenue is money made in total. It doesn’t matter how much profit, so the manufacturing cost doesn’t matter.

R = 2x + 8000

Anyone? please help asap i really want to finish this

It is a Part A and Part B Question


Note: please add the answer next to what part it's from so I can know which part was answered

Answers

Answer:

Question 6a: [tex]p \leq 16[/tex]

Question 6b: option d

Step-by-step explanation:

Question 6a: [tex]6p \leq 96\\6p/6 \leq 96/6\\p \leq 16[/tex]

Question 6b:

- closed dot since its equal to 16

- p is less than 16 (arrow pointing left)

find the x of these multiplication

6) 3x = 27
7) 5x = 35
8) 2x = 24

Answers

6) To find X, you need to isolate X from the number, to do this divide the 3X by 3 and do the same to the other side, divide 27 by 3.
X = 9

7) do the same process, X = 7

8) do the same process, X = 12

Hey there!

QUESTION #6.

3x = 27

DIVIDE 3 to BOTH SIDES

3x/3 =27/3

SIMPLIFY IT!
x = 27/3

x = 9


Therefore, the answer should be:

x = 9


QUESTION #7.

5x = 35

DIVIDE 5 to BOTH SIDES

5x/5 = 35/5

SIMPLIFY IT!
x = 35/5

x = 7


Therefore, the answer should be:

x = 7


QUESTION #9.
2x = 24

DIVIDE 2 to BOTH SIDES

2x/2 = 24/2

SIMPLIFY IT!

x = 24/2

x = 12

Therefore, the answer should be:

x = 12


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

PLS HELP ASAP

Solve the following system of equations.
x + y = 3
2x + 2y = 6


A) (1.5, 1.5)

B) (0, 3)

C) infinite number of solutions

D) no solution

Answers

Answer:

C.

Step-by-step explanation:

x + y = 3

2x + 2y = 6

Multiply the first equation by 2:

2x + 2y = 6

This is the same equation as the second one.

So there are an infinite number of solutions.

Let the vector v have an initial point at (6,-7) and a terminal point at (4,-6). determine the components of vector v

Answers

The components of v are -2 and 1.

What are components of vector?

The components of a vector in two dimension coordinate system are usually considered to be x-component and y-component. It can be represented as, V = ([tex]v_x, v_y[/tex]), where V is the vector.

As, Vector v have an initial point at (6, -7) and a terminal point at (4, -6).

If initial point of vector [tex](x_1,y_1)[/tex] and terminal point is [tex](x_2,y_2)[/tex], then components of vector is

v= ([tex]x_2-x_1, y_2-y_1[/tex])

Initial point= (6,-7) and terminal point=(4,-6)

Then,

v= (4-6, -6-(-7))

v=(-2, 1)

Thus, the vector v=(-2, 1) have two components -2 and 1.

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A bakery sells vanilla cupcakes and chocolate cupcakes. It sold 276 vanilla cupcakes in a day. 8% of the cupcakes sold that day were chocolate. How many total cupcakes did the bakery sell that day?
ASSAP

Answers

Answer:

hello!!!

300 cupcakes

please read the explanation.. it always helps... trust me...

Step-by-step explanation:

alrighty here it goes...

okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....

okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.

we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.

so now we need to find out 92% of what number gets us 276.

the percentage formula (in this problem) should be as follows:

92/100 x (total amount of cupcakes) = 276

to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)

i hope this helps!!!

Answer:

300

Step-by-step explanation:

As part of a school project, Juanita was asked to draw an accurate sketch of her bedroom. using the dimensions and scale shown, determine the actual area of her room: 2.2in by 4.3in 1 inch is + to 5ft

Answers

Answer 11’ x 21.5’ and LxW for Area of room is 236.5 sq ft

Explained
Ratio is 1” to 5ft, for every inch it’s 5’ so
multiply ratio of 5’ by 2.2” and 4.3”

2.2” x 5’ = 11 ft

4.3” x 5’ = 21.5 ft


LxW for area if you need that
236.5 sq ft

HELP PLEASE!!! Which shows how to find the value of this expression when x=-2 and y=5?

Answers

I think it’s B BECAUSE

Q) Rewrite these newspaper headline in PERCENTAGE?
1.There was a one in two chance that the goldfish would swin to left.

Answers

Answer:

There was a 50% chance that the goldfish would swim to the left

Step-by-step explanation:

Percentage means "amount in one hundred".

[tex]\textsf{one in two}=\sf \dfrac{1}{2}=\sf \dfrac{1\times 50}{2 \times 50}=\dfrac{50}{100}=50\%[/tex]

Newspaper headline:

There was a 50% chance that the goldfish would swim to the left.

a ball has a diameter of 4 inches what is the volume

Answers

Answer:

268.08 cubic inches

Step-by-step explanation:

I'm sorry if this isn't helpful

Find the maximum accepted height for a basketball ring which must be positioned 3050 ± 6 mm above the floor.

__MM ??

Answers

Answer:  3056 mm

Work Shown:

3050+6 = 3056

If you wanted the min height allowed, then you'd compute 3050-6

Note: 3050 mm = 10 feet approximately

Solve 2(x + 1) = 2x + 2

Answers

Answer: ( −∞ , ∞)

Step-by-step explanation: Any value of x makes the equation true.

All real numbers

original equation

[tex]2(x+1)=2x+2[/tex]

distribute

[tex]2x+2=2x+2[/tex]

solve

[tex]2=2\\\\0=0[/tex]

the answer is 0.

The late fees for a school library are represented by the function
c=0.25d, where c is the total cost and d is the number of days.
a book is late. The fees charged by a city library are shown in the
table.

Answers

Answer:

Rates of change:

school library: $0.25 per day;

city library: $0.35 per day

| Snapsolve. ... where \(c\) is the total cost and \(d\) is the number of days a book is late. The fees charged by a city library are shown in the table

Step-by-step explanation:

The area of a rectangle is 1,036 cm and its length is 74 cm.
Find (i) its breadth (ii) its perimeter​

Answers

Answer:

(i) Breadth = 14 cm

(ii) Perimeter = 176 cm

Step-by-step explanation:

Given,

Area of a rectangle = [tex]1036[/tex] cm²Length = [tex]74[/tex] cm

(i) Breadth = ?

We know that, Area of a rectangle = length × breadth.

Then,

[tex]1036 = 74 \times Breadth\\1036 \div 74 = Breadth\\\boxed{\bf\:14 \:cm = Breadth }[/tex]

(ii) Perimeter of a rectangle = 2 (length + breadth)

Then,

[tex]Perimeter = 2(74 + 14)\\Perimeter = 2(88)\\\boxed{\bf\: Perimeter = 176 \: cm}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -6/5x - 2

Step-by-step explanation:

The line intercepts the y-axis 2 below 0, and down 6 for every 5 to the right on the x-axis

to get the equation of any straight line, we simply need two points off of it, let's use those points in the picture below.

[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-5)}}}\implies \cfrac{-12}{5+5}\implies \cfrac{-12}{10}\implies -\cfrac{6}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-5)})\implies y-4=-\cfrac{6}{5}(x+5) \\\\\\ y-4=-\cfrac{6}{5}x-6\implies y=-\cfrac{6}{5}x-2[/tex]

Need help fast thanks and god bless

Answers

Answer:

275.

Step-by-step explanation:

The gradient of the graph is 70/2 = 35 and it passes through the origin so we can write its equation as

y = 35x.

The gradient of the function represented by the the table is

(240-180) / (4-3) = 60

Ehen x = 3 y = 180 so when  x = 0 y = 180 - 60 - 60 - 60 = 0 and the equation of this function is

y = 60x.

For the first equation when x = 11, y = 35*11 = 385.

For the second it is 60 * 11 = 660

So our answer is  660 - 385

= 275

solve this question please

Answers

Answer:

Step-by-step explanation:

a) 1.8 kg in grams is 1800 g

b) If 6 toys weigh 1800g; then 1 toy weighs 300 g(6:1)

c) If 1 toy weighs 300 g, 4 toys weigh 1200 g and you convert in kg which is 1.2 kg

Mitch walks 30 meters in 20 seconds. How many meters does Mitch walk per second?

Answers

Distance =30m, Time= 20s
Speed= distance/time
So speed= 30/20 = 1.5 m/s

Answer:

1.5 meters per second

Step-by-step explanation:

30 ÷ 20 = 1.5

Find the mean and standard deviation for the data set
{6, 8, 7, 5, 10, 6, 9, 8, 4}

Please SHOW steps for everything

Answers

Answer:

See below

Step-by-step explanation:

The mean is simply adding up each data value and dividing your result by the number of data values:

[tex]\text{Mean}=\frac{6+8+7+5+10+6+9+8+4}{9}=\frac{63}{9}=7[/tex]

The standard deviation is calculated through finding the sum of the squared differences between the mean and each data point, and dividing that result by the number of data values, which we then take the square root of:

[tex]\text{Standard Deviation}=\sqrt{\frac{(6-7)^2+(8-7)^2+(7-7)^3+(5-7)^2+(10-7)^2+(6-7)^2+(9-7)^2+(8-7)^2+(4-7)^2}{9}}=\sqrt{\frac{10}{3}}\approx1.8257[/tex]

What this value means is that each data point is spread about 1.8257 apart from the mean. Standard deviation describes how dispersed the data is in relation to the mean.

What is the area of the shaded region?

Write your answer as a whole number or a decimal rounded to the nearest hundredth.

Wednesday, May 25th*

Answers

Answer is 63

Area is calculated 1/2BH
Large triangle = 1/2 (12) (15) = 90
Small triangle = 1/2 (6) (9) = 27
Subtract small triangle (unshaded) from the large triangle to find shaded area.
90-27= 63
See picture for details

find the mode of the following data set.

help please

Answers

Answer:

Step-by-step explanation:

The most repeated number is 1,

Therefore, 1 is the anser


Calculate the diameter of the
circle.

Answers

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         [refer to attachment for question]

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Remember, the radius is exactly one-half of the diameter, so if we need to find the diameter, we multiply the radius times 2:-

r=6.5m

d=13m

r=9.1 ft

d=18.2 ft

Good luck with your studies.

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

Calculus, complete the sentence below.

Answers

Answer:

If a= ⅓

Gradients are perpendicular if they are multipled they will equal to - 1

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