16. At a point on the ground 20 feet from the foot of a tree, the angle of
elevation to the top of the tree is 40°. Find the height of the tree. *

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]

Substitute x = 1 and y = 6 into equation,

[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]

Therefore substituting m and c value, equation of line is

[tex]y = - 3x + 9[/tex]

Answer:

160

Step-by-step explanation:

base x width x height = volume

4x5x8=160 in^3

That's all there is to volume of a box

Hope that helps :)

Answer:

160 yet it's supposa be in Cuboid e.g. 160cm3

Step-by-step explanation:

Volume=L×H×W

= 4×5×8

=160

Given:

A train is traveling at a constant speed in miles per hour.

The table of value is:

Hours (x)     Miles (y)

     1                  20

     2                 100

     3                 180

     4                 260

     5                 340

To find:

The equation for the given data table.

Solution:

It is given that the train is traveling at a constant speed in miles per hour. So, it is a linear relationship.

Choose any two point from the given table of value. Let the two points are (1,20) and (2,100). So, the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-20=\dfrac{100-20}{2-1}(x-1)[/tex]

[tex]y-20=\dfrac{80}{1}(x-1)[/tex]

[tex]y-20=80(x-1)[/tex]

Add 20 on both sides.

[tex]y=80(x-1)+20[/tex]

[tex]y=80x-80+20[/tex]

[tex]y=80x-60[/tex]

Therefore, the correct option is D.

Answer:

77.44%

49.87%

Step-by-step explanation:

If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air

on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056

Air left on the second day = 88% - 10.56% = 77.44%

After a week = (100 - 12%)^7 = 49.87%

Answer: B

Because 3 kilograms = 3,000 and 3,000 kilograms = 3,000 grams

Answer:

Answer in explanation.

Step-by-step explanation:

Lets take

[tex]y = \frac{3}{4} x - 5[/tex]

as L1.

Take L2 the line perpendicular to L1.

Standard form of equation of line:

y=mx+c, where m = slope and c = y-intercept.

Since L1 and L2 are perpendicular,

mL1 x mL2 = -1

Substitute mL1 into the equation,

3/4 x mL2 = -1

mL2 = -1 ÷ 3/4

mL2 = -4/3

L2 : y = mx+ c

Substitute y = 6, x = 8 and m = -4/3 into the equation,

[tex]6 = - \frac{4}{3} (8) + c \\ 6 = - \frac{32}{3} + c \\ c = 6 + \frac{32}{3} \\ = 16 \frac{2}{3} [/tex]

therefore L2:

[tex]y = - \frac{4}{3}x + 16 \frac{2}{3} [/tex]

Lets take L3 as the line parallel to L1.

Since L3 and L1 are parallel,

mL3 = mL1 = 3/4

equation of line: y = mx+c

substitute y = 6, x = 8 and m = 3/4 into equation.

[tex]6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\ = 0[/tex]

therefore L3:

[tex]y = \frac{3}{4} x[/tex]

Answer:

Step-by-step explanation:

If similar Y=N=124 degrees

Answer:

B. 56π

Step-by-step explanation:

Circumfrance = 2πr OR πd(r*2)

C = 2π(28) -> C = 56π

OR

C = π(28*2) -> C = 56π

Answer:

B (56π)

Step-by-step explanation:

Circumference = 2πr or πd

C = 2π(28) (after completing this step:) C = 56π

Thus, C = 56π

Tags:

math,math,B (56π),pi,pie,area,circumfrence,diamater,radius,brainly,brainliest,Aceiling fan is pictured below. The tip of one of the fan blades is labeled point A. Point A is 28 inches away from the center of the fan. What is the circumference for point A on the fan to travel one full revolution? C=217 A 2 STT Inches 656 inches C 168 inches

Answer:

B(3 and 6)

Step-by-step explanation:

Uhm, this isnt algebra, this are basic geometry rules, 3 and 6 are alternate angles

Answer:

according to writer it answer is 2 minute

Answer:

96 cm

53 cm

4,5 Cm

1,5 Cm

1.7dm

0,5m

Step-by-step explanation:

Dm to Cm ×10

mm to cm ÷10

Answer:

C = $1.50x + $3y

Step-by-step explanation:

Using the information provided we can create an equation to model the total dollar cost of Amanda's purchase when visiting the candy store. To do this we need to multiply each candies individiual cost by the amount of each candy they are purchasing. Then we add together all of these values to get the final total cost which would be represented by C.

C = $1.50x + $3y

Answer:

m=2/3

Step-by-step explanation:

The ordered pair representing the preimage and the image is below

preimage      image

k (2, 3)            K' (6, 1)

L (4, 2)            L' (8, -4)

Q (2, 2)           Q' (6, -4)

The position of the image is calculated using the translation rule

(x, y) → (x + 4, y - 2)

preimage  Translation      image

k (2, 3)      (2 + 4, 3 - 2)     K' (6, 1)

L (4, 2)      (4 + 4, -2 - 2)     L' (8, -4)

Q (2, 2)     (2 + 4, -2 - 2)     Q' (6, -4)

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Answer:

[tex]\frac{A+2c}{2}[/tex] = b

Step-by-step explanation:

A = 2(b-c)

Distribute

A = 2b - 2c

+2c         +2c

A + 2c = 2b

/2           /2

[tex]\frac{A+2c}{2}[/tex] = b

Answer:

Radius - 25.4cm²

Circumstance- 159. 593cm²

Area - 2,026.83cm²

I think not sure

Answer:

The answer is 101.5 And how you do it is you multiply 203 x 0.5

Answer:

8.4649897197465 ml

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Took the test

Step-by-step explanation:

Answer is 30 I hope this help you

Answer: 52 minutes

Change denomniators by multiplying by 5 and 3

1/5 x 3 = 3/15

2/3 x 5 = 10/15

Add

3/15 + 10/15 = 13/15

Multiply by 4 to get minutes

13/15 x 4 = 52/60

Answer:

52 minutes

Step-by-step explanation:

Chemistry hw: 1/5 x 60 min＝12 min

Math assignment: 2/3 x 60 min ＝ 40 min

Total time: 12 min + 40 min ＝ 52 min

Answer:

b

Step-by-step explanation:

Answer:

We will apply the formula of d=y- x/n+1

Let y be 2.2 and x be 2.1 and n= 16

Then 2.2-2.1/ 16+1

0.1/17

x+d= 2.1 + 0.1 = 2.2

x+2d= 2.1+2×0.1=2.3

x+3d= 2.1+3×0.1=2.4

x+4d= 2.1+4×0.1=2.5

x+5d=2.1+5×0.1=2.6

x+6d=2.1+6×0.1=2.7

x+7d=2.1+7×0.1=2.8

x+8d=2.1+8×0.1=2.9

x+9d=2.1+9×0.1=3

x+10d=2.1+10×0.1=3.1

x+11d=2.1+11×0.1=3.2

x+12d=2.1+12×0.1=3.3

×+13d=2.1+13×0.1=3.4

x+14d=2.1+14×0.1=3.5

x+15d=2.1+15×0.1=3.6

x+16d=2.1+16×0.1=3.7

Step-by-step explanation:

mark brainlyest plz it really helps

Answer:

Eh cafe donete mal reo jama kolotake? 24 eh moi -09....? kelare mei osaje.

Step-by-step explanation:

The inequality that describes the solution is 3x < 12.

The cost of each pineapple is less than $4.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Number of pineapples = 3

Cost of each pineapple = x

Now,

The cost of all the 3 pineapples = less than $12.

The cost of 3 pineapples.

3x < 12

x < 12/3

x < 4

Thus,

The inequality is 3x < 12.

The cost of each pineapple is less than $4.

Learn more about inequalities here:

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Answer:

4x^2 / y

Step-by-step explanation:

Rewrite the equation

(24x^3/5x) x 15/18y

then we can simply get the answer of 4x^2 / y

Answer:

missing side length = 9

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

a = 6

b = 7

c = missing side

[tex]c^{2} = 6^{2} + 7^{2}[/tex]

[tex]c^{2} = 36 + 49[/tex]

[tex]c^{2} = 85[/tex]

[tex]\sqrt{c^{2} } = \sqrt{85}[/tex]

[tex]c = 9.219 = 9[/tex]

Answer:

x=6

Step-by-step explanation:

according to the question :-

(x+54)+5x=90

x+54+5x=90

6x+54=90

6x=90-54

6x=36

x=36/6

x=6

Answer:

[tex] a = \frac{28}{ \sqrt{2} } [/tex]

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{a}{28} \\ \\ \frac{1}{ \sqrt{2} } = \frac{a}{28} \\ \\ a = \frac{28}{ \sqrt{2} } [/tex]

The side of "a" of right angled triangle is  [tex]\frac{28}{\sqrt{2} }[/tex] .

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ      = Base/Perpendicular

According to the question

In right angle Δ

Hypotenuse = 28

Base for ∠45° = b

Perpendicular for ∠45° = a

now , Using trigonometric ratio

sin θ [tex]= \frac{Perpendicular}{Hypotenuse }[/tex]

sin 45° = [tex]= \frac{a}{28}[/tex]

[tex]\frac{1}{\sqrt{2} } = \frac{a}{28}[/tex]

a = [tex]\frac{28}{\sqrt{2} }[/tex]

Hence, side of "a" of right angled triangle is  [tex]\frac{28}{\sqrt{2} }[/tex] .

To know more about trigonometric ratio here:

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Answer:

ok-

first thing to do is break the shapes into regular shapes that you already know how to figure the area of. so, #1 and #2 become an upright rectangle with a square attached to the bottom. #? is a rectangle with a semicircle at each end. #5 is a rectangle with a triangle up top... etc.

then, you figure the area of each part and add them all together.

let's look at #1:

right away, I see a square sticking off the right side that is 20x20- so that part is 400sq inches

then, I see the remainder as a rectangle that is 23x22.

23x22=506sq inches

then, add the 2 parts together.

506+400= 906sq inches total.

hope that helps!