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stira [4]
3 years ago
15

Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun

Mathematics
1 answer:
scoray [572]3 years ago
4 0

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

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determine the householder transformation that annihilates all but the first entry of the vector [1 1 1 1 ]t. specifically, if (
Stolb23 [73]

Answer:

v=a+ 2e1= [3 1 1 1] x^{T}.

Step-by-step explanation:

Let a = ^{}\left[\begin{array}{ccc}\\1&1&1\\\end{array}\right] ^{T}and we know that\alpha=±║α║₂= 2.

As we have gone over in class, the formula for v is v= a-\alphae1

with the sign of chosen to avoid subtraction. This gives v=a+ 2e1= [3 1 1 1] x^{T}.

Disclaimer ;The question is incomplete

Question:

Determine the Householder transformation that annihilates all but the first entry of the vector[1 1 1 1]>Specifically, if

I-2vv^{T}/v^{T}v\left[\begin{array}{ccc}1\\1\\1\\1\end{array}\right]==\left[\begin{array}{ccc}\alpha \\0\\0\\0\end{array}\right]

what are the values of α and v?

#SPJ4

learn more about it on

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8 0
1 year ago
Please help I will give a brainless or brainly
enot [183]

Answer:

2x - 12 + 6 = 4x - 4

2x- 6 = 4x - 4

-6 +4 = 4x - 2x

-2 = 2x

x= -2/2

x = -1

5 0
2 years ago
Read 2 more answers
What is the perimeter of the rectangle in the coordinate plane?
snow_lady [41]
26 units is the answers for this questions. To find the perimeter, put a slash in each square. The only squares that will get 2 slashes is the corners
3 0
3 years ago
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Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co
anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196

y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

x + y =12, we solve for y by subtracting x on both sides

y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

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8 0
3 years ago
Tara had $350 in her bank account she received three birthday checks for $35 each and but bought two new video games for $41 eac
goldfiish [28.3K]

We conclude that the final amount that she has in her bank account is $375.

<h3>How much has Tara in her bank account now?</h3>

Here we need to perform some additions and subtractions. We know that Tara starts with $350 in her account.

Then she received 3 checks for $35 each, so at this point she has:

$350 + 3*$35 = $455

Now she buys 2 video games for $41 each, so we need to subtract two times $41, we will get:

$455 - 2*$41 = $375

We conclude that the final amount that she has in her bank account is $375.

If you want to learn more about additions and subtractions:

brainly.com/question/25421984

#SPJ1

6 0
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