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S_A_V [24]
3 years ago
15

A 12 ft ladder is leaning against a building. The ladder makes a 45 degree angle with the building how far up is the building do

es the ladder reach
Mathematics
1 answer:
Ghella [55]3 years ago
4 0

Answer:

The ladder reach a height 8.485 ft.

Step-by-step explanation:

The ladder with the building made right angle triangle

The length of the ladder is the hypotenuse 12 ft.

The angle between the ladder and the building is 45°

The height of the ladder reach is the vertical side of the Δ

∴ h = 12 cos 45° = 6√2 = 8.485 ft.

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Consider the differential equation 4y'' â 4y' + y = 0; ex/2, xex/2. Verify that the functions ex/2 and xex/2 form a fundamental
Kazeer [188]

Check the Wronskian determinant:

W(e^{x/2},xe^{x/2})=\begin{vmatrix}e^{x/2}&xe^{x/2}\\\frac12e^{x/2}&\left(1+\frac x2\right)e^{x/2}\end{vmatrix}=\left(1+\frac x2\right)e^x-\frac x2e^x=e^x\neq0

The determinant is not zero, so the solutions are indeed linearly independent.

7 0
3 years ago
The distance between the starting point in the finishing line of the Boston marathon is 4 inches on an interactive course map if
Gemiola [76]

Answer:

26.2 Miles

Step-by-step explanation:

1 inch = 6.55 miles

4 x 6.55 = 26.2

8 0
3 years ago
Maxine and her daughter are going grocery showing after she gets off work. Maxine sees that apples are $0.25, while bananas are
Butoxors [25]

Her situation can be modeled by the linear equation (in standard form):

x*$0.25 + y*$0.79 = $2.50

<h3>How to write the equation that represents her situation?</h3>

The variables that we will use here are:

x =  number of apples that she can buy.

y = number of bananas that she can buy.

We know that she has $2.50 to spend, that each apple costs $0.25 and each banana costs $0.79, then the cost of the x apples and y bananas is:

x*$0.25 + y*$0.79

and that must be equal to the amount she has to spend, then we can write the linear equation:

x*$0.25 + y*$0.79 = $2.50

That is the linear equation in standard form that represents her situation.

Learn more about linear equations:

brainly.com/question/1884491

#SPJ1

3 0
1 year ago
A sports tournament has d teams. Each team has 15 players. Using d, write an expression for the total number of players in the t
fredd [130]

Answer:

d x 15=total players.

Step-by-step explanation:

dx15=total number of players in the tournament.

6 0
3 years ago
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In a recent survey, three out of every five students said they would prefer going to a water park for the class trip.
zhuklara [117]

Answer:

the answer is d

Step-by-step explanation:

Just multiply and divide

8 0
3 years ago
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