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VLD [36.1K]
3 years ago
10

Michael is trying to hang Christmas lights on his house. His house is 17 ft tall and the ladder leaning is 34 degrees above the

ground. How long must the ladder be to reach the house?
Mathematics
1 answer:
sergejj [24]3 years ago
8 0

Answer:

c= 14.86606875

Step-by-step explanation:

c^2= a^2+5^2

c^2= 5^2+14^2

c^2= 25+196

c^2= 221

\sqrt{c {}^{2} }  =  \sqrt{221}

c= 14.86606875

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Write the standard equation for the hyperbola with the following conditions: vertices: (-2, -3) and (6, -3) foci: (-4, -3) and (
STALIN [3.7K]
Hello,

Vertices are on a line parallele at ox (y=-3)

The hyperbola is horizontal.

Equation is (x-h)²/a²- (y-k)²/b²=1

Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and  2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)

Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6

c²=a²+b²==>b²=36-4²=20

Equation is:
\boxed{ \dfrac{(x-2)^2}{16} - \dfrac{(y+3)^2}{20} =1}





8 0
3 years ago
From a practice assignment:<br>solve the following differential equation given initial conditions ​
hodyreva [135]

If y' = e^y \sin(x) and y(-\pi)=0, separate variables in the differential equation to get

e^{-y} \, dy = \sin(x) \, dx

Integrate both sides:

\displaystyle \int e^{-y} \, dy = \int \sin(x) \, dx \implies -e^{-y} = -\cos(x) + C

Use the initial condition to solve for C :

-e^{-0} = -\cos(-\pi) + C \implies -1 = 1 + C \implies C = -2

Then the particular solution to the initial value problem is

-e^{-y} = -\cos(x) - 2 \implies e^{-y} = \cos(x) + 2

(A)

4 0
2 years ago
4. Find an equation for each line.
DedPeter [7]

Answer:

1 lap in 8/10 (4/5) of a minute

Answer is B, 8/10 minute!

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

Step-by-step explanation:

3 0
3 years ago
Arthur wants to buy an item that costs p dollars before tax. Using the Florida tax rate of 6%, write two different expressions t
REY [17]

The different expressions that represent the price of the item after tax will be p + 6/100p and p + 0.06p.

<h3>How to illustrate the expression?</h3>

The first expression will be:

= p + (6/100 × p)

= p + 6/100p

The second expression will be:

= p + (6% × p)

= p + 0.06p

It should be noted that both expressions are equal.

Learn more about tax on:

brainly.com/question/25783927

#SPJ1

8 0
1 year ago
I rlly suck at math so plz help lol
Jlenok [28]

Answer:

A. 81

Step-by-step explanation:

Combine fractions, that equals 2/5 in your exponent. Three to the 2/5 power is 81. So answer A.

6 0
3 years ago
Read 2 more answers
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