Josh wants to add a model of a tree to his model railroad layout. How big should the model tree be if the actual tree is 315 inches and the scale is 1:90?

Answer:

The monument is approximately 86.6 feet tall

Step-by-step explanation:

The given monument parameters are;

The distance of the person from the monument = 50 feet

The angle of depression from the top of the monument to the person's feet = 64°

Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;

tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)

∴ The height of the monument = tan(Angle of depression) × The distance from the monument

Substituting the known values, gives;

The height of the monument = tan(60°) × 50 ≈ 86.6

The height of the monument ≈ 86.6 feet.

Answer:

15 cents or 5 nickels

Step-by-step explanation:

It’s $1.20 for 8 birthday cards so you do 1.20 divided by 8.

1.20 divided by 8 is 0.15 which is 15 cents. 15 cents is equal to 5 nickels.

Hope this helps :)

Answer:

5150

Step-by-step explanation:

120000/3= 40000

40000*.12875= 5150

Answer:

|44|

Those are not Ones, those are the straight lines you can type using the Shift key and the key underneath the Backspace :)

Step-by-step explanation:

-44 is 44 places away from zero, and |44| is also 44 places away from zero. For those who are wondering, this symbol: | if is placed around a certain number, the positive or negative effect on that number is taken away, and the number is just thought as of that many spaces away from zero. EX: -9 => |9| is now not negative

Answer:

One equation is -22+-22

Answer:

14.83 meters

Step-by-step explanation:

Given that :

Angle of elevation (α) = 56°

Distance between observer and foot of tree = 10 meter.

Height of tree =?

Using trigonometry :

The height (h) of the tree can be obtained using :

Tan α = opposite / Adjacent

Tan(56°) = h / 10

1.4825609 = h / 10

Multiply both sides by 10

1.4825609 * 10 = h

14.8256 = h

Hence, the height of the tree is 14.83 m(2 decimal places).

Answer:

Heredity refers to the genetic heritage passed down by our biological parents. It’s why we look like them! More specifically, it is the transmission of traits from one generation to the next. These traits can be physical, such as eye color, blood type or a disease, or behavioral. For example, the hygienic behavior of honeybees that drives them to remove sick larvae from the nest is inherited behavior.  

Answer:12 dollars

Step-by-step explanation:

if u cross multiply u get 12

Answer:

All the boxes in the store will weigh b. 4,250 lbs.

Step-by-step explanation:

Well, we know that the storage facility can hold a maximum of 50 large boxes, each weighing about 85 pounds.

85 x 50 = 4,250

Therefore, all the boxes in the store will weigh b. 4,250 lbs.

Hope this helps! :D

Answer:

x is 8.75

Step-by-step explanation:

cross multiplying

10x = 35(2.5)

10x = 87.5

x = 8.75

Answer:

n<2

Step-by-step explanation:

6.2n<2n+8.4

Move variable to the left hand side and change its sign

6.2n - 2n < 8.4

Combine like terms

4.2n < 8.4

divide both side by 4.2

n < 2

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Equation

2(x + 2x) = 36

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 36 does indeed equal 36.

∴ x = 6 is the solution to the equation.

Answer :

2(x+2x)=36

2x + 4x =36

6x =36 is the answer

Hope it helped

Answer:

.49 * 100  

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Answer:

x = 9

Step-by-step explanation:

The linear pair have a sum of 180°, thus

3x + 15x + 18 = 180

18x + 18 = 180 ( subtract 18 from both sides )

18x = 162 ( divide both sides by 18 )

x = 9

Answer:

need what done?

Step-by-step explanation:

Answer:

D. 14.

Step-by-step explanation:

As we know, 10 to the second power is 100, to the third power is 1000, and so on. These powers add a zero to the number. Since PEMDAS tells us to do exponents before multiplication, we need to find what power of 10 gives us 100,000,000,000,000. Let's count all the zeros. There are 14 zeroes. This means our answer is D. 14. Let's check, though. 10 to the 14th power is 100,000,000,000,000, and that times 3 is 300,000,000,000,000. That means our answer is correct, it is in fact, D. I hope this helps!

Edit: I changed the answer from 13 to 14 because I realized that 13 is incorrect.

Answer:

B.

Step-by-step explanation:

Subtract 45 from both sides first. Then divide by 4.

Answer:

Subtract 45 from both sides to eliminate that number

Step-by-step explanation:

The cross-sectional area of the shaft is 314 mm²

The outside diameter (d₂) = 6 cm = 60 mm

The inside diameter (d₁) = 4 cm = 40 mm

The cross sectional area of the shaft (A) is given by:

A = π(d₂ - d₁)²/4

Substituting values:

A = π(60 - 40)²/4

Simplifying the equation:

A = 314 mm²

The cross-sectional area of the shaft is 314 mm²

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Answer:

a

Step-by-step explanation:

Hope this helps

Answer:

It’s the first one

Step-by-step explanation:

George Washington was reluctant to lead the Continental Army because he was worried about leaving his wife, Martha, alone if he were to be captured or killed during the war.

Answer:

it is 5

Step-by-step explanation:

Answer:

(-38,18)

Step-by-step explanation:

Step: Solvex+3y=16for x:

x+3y+−3y=16+−3y(Add -3y to both sides)

x=−3y+16

Step: Substitute−3y+16forxin2x+5y=14:

2x+5y=14

2(−3y+16)+5y=14

−y+32=14(Simplify both sides of the equation)

−y+32+−32=14+−32(Add -32 to both sides)

−y=−18 Divide both sides by -1

[tex]\frac{-y}{-1} =\frac{-18}{-1}[/tex]

y=18

Step: Substitute18foryinx=−3y+16:

x=−3y+16

x=(−3)(18)+16

x=−38

Answer:

sure so quadrant one is top right and its positive positive and quadrant 2 top left and is negative positive quadrant 3 is bottom left and negative negative quadrant 4 is bottom right and its positive negative

Step-by-step explanation:

Answer:  $874.50

Step-by-step explanation:

I = P x R x T

825 x 0.06 x1 = $49.50 interest

825.00 + 49.50 = $874.50 total cost for the phone after a year

Answer:

Step-by-step explanation:

6/8 can be simplified to 3/4. Therefore the answer is C. 20 X 3/4

Answer:

[tex]x=0.525[/tex] or [tex]x=\frac{21}{40}[/tex]

Step-by-step explanation:

Answer:

y = x - 3; 9 diagonals

Step-by-step explanation:

Find the equation: y = x - 3

Plug in 12: y = 12 -3

Solve: y = 9

9 diagonals

Hope this helps! Plz mark brainliest

The equation of function notation for the relation will be,

⇒ y = x - 3

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Table is shown in figure.

Two points on the table are (3, 0) and (4, 1).

Now,

Since, The equation of function passes through the points,

(3, 0) and (4, 1).

So, We need to find the slope of the function.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 0) / (4 - 3)

m = 1

Thus, The equation of function with slope 1 is,

⇒ y - 0 = 1 (x - 3)

⇒ y = x - 3

⇒ y = x - 3

Thus, The equation of function notation for the relation will be,

⇒ y = x - 3

Learn more about the equation of line visit:

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Answer:

2%

Step-by-step explanation:

Answer: 5/6÷2/3

5/6×3/2

=5/4

5/4 cups of strawberries makes 1 litre of smoothie