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lesya692 [45]
1 year ago
13

To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. T

he tree meets the ground at a right angle.
At approximately what angle does the wire meet the ground?
Mathematics
1 answer:
Anuta_ua [19.1K]1 year ago
4 0
<span>

12 feet would be the hypotenuse... </span>

56.4 degrees my friend. That is ur answer.
You might be interested in
Fred buys a video game disk for $4 there was a discount of 20% what is the sales price please show work
polet [3.4K]

multiply the price by the discount then subtract the answer from the price

4 * 0.20 = 0.80

4-0.80 = 3.20

 sale price is $3.20

8 0
2 years ago
Mark and Sofia walk together down a long, straight road. They walk without stopping for 4 miles. At this point Sofia says their
Marina CMI [18]

Answer:

Sofia is correct.

Step-by-step explanation:

Mark's statement depends on the starting point. He can be correct if they started at the 0 mile, but in this case we don't know where they started. They could had started at the 12 mile and their current position after the walking would be 16 miles.

On the other hand, Sofia's statement doesn't depend on where they started. She refers to how much they walked, not to where they are after the walking. Since they stopped after 4 non-stopping miles, their displacement was exactly 4 miles. So Sofia is correct.

5 0
2 years ago
#6) Beth saved a total of $30 per month for her first car. Beth saved
cluponka [151]

Answer:

1) The domain In interval notation is [0, 20]

2) The range in interval notation is [100, 700]

Step-by-step explanation:

The given parameters are;

The amount Beth saved per month = $30

The number of months Beth saved = 20 months

The amount with which Beth opened her account = $100

Therefore, the amount of money Beth saved with respect to time is given as follows;

Y = $100 + $30 × X

Where;

Y = The amount of money Beth saved

X = The time (number of months) Beth saved

The domain is given as follows;

\{X | \ 0 \leq X \leq 20 \}

The domain in interval notation is [0, 20]

For the range, when X = 0, Y = $100

When X = 20, Y = $100 + $30 × 20 = $700

Therefore, the range is given as follows;

\{Y | \ 100 \leq Y \leq 700 \}

Which the range in interval notation is [100, 700].

6 0
2 years ago
Solve the given initial value problem and determine how the interval in which the solution exists depends on the initial value y
zalisa [80]

Answer:

y has a finite solution for any value y_0 ≠ 0.

Step-by-step explanation:

Given the differential equation

y' + y³ = 0

We can rewrite this as

dy/dx + y³ = 0

Multiplying through by dx

dy + y³dx = 0

Divide through by y³, we have

dy/y³ + dx = 0

dy/y³ = -dx

Integrating both sides

-1/(2y²) = - x + c

Multiplying through by -1, we have

1/(2y²) = x + C (Where C = -c)

Applying the initial condition y(0) = y_0, put x = 0, and y = y_0

1/(2y_0²) = 0 + C

C = 1/(2y_0²)

So

1/(2y²) = x + 1/(2y_0²)

2y² = 1/[x + 1/(2y_0²)]

y² = 1/[2x + 1/(y_0²)]

y = 1/[2x + 1/(y_0²)]½

This is the required solution to the initial value problem.

The interval of the solution depends on the value of y_0. There are infinitely many solutions for y_0 assumes a real number.

For y_0 = 0, the solution has an expression 1/0, which makes the solution infinite.

With this, y has a finite solution for any value y_0 ≠ 0.

8 0
2 years ago
In a sale normal prices are reduced by 10% Nathalie bought pair of shoes in the sale for ?54 what was the original price
Mama L [17]

Answer:

$59.4

Step-by-step explanation:

7 0
2 years ago
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