Another wooden plank is leaning against an outside wall of a building. The bottom of the plank is 9 ft from the wall. The length of the plank is 41 ft. Find each of the following values, and show all your work. (a) Find the value of x. Round to the nearest tenth of a degree. (b) Find the height above the ground where the plank touches the wall. Round to the nearest foot. sorry the link for the triangle isn't working

Answers

Answer 1

Answer: Given:
bottom of the plank or ground is 9 feet from the wall
length of the plant is 41 ft
height of the wall is unknown.

Let us use the Pythagorean theorem.

a² + b² = c²
a² + (9ft)² = (41ft)²
a² + 81 ft² = 1,681 ft²
a² = 1,681 ft² - 81 ft²
a² = 1,600 ft²
√a² = √1,600 ft²
a = 40 ft

The height of the wall is 40 ft.

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A row of plaques covers 120 square feet of space along a wall. If the plaques are 3 feet tall, what length of the wall do they cover?

Answers

a foot =12inches so 12×3=36.then 120×12=1,440

flflflflfStep-by-step explanation:

16 raised to the second power + X raised to the second power = 30 raised to the second power. QUESTION: What does X equal?

Answers

$16^2+x^2=30^2\n x^2=900-256\n x^2=644\n x=√(644) \vee x=-√(644)\n x=2√(161) \vee x=-2√(161)$

15% of 20 is what number?

Answers

Answer:

Brainliest plz

Step-by-step explanation:

20 x 15%

is equal too...

20 x 0.15

and that is equal to

...

Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. of the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians, what is the length, in yards, of the border

Answers

To solve this problem you must apply the proccedure shown below:

1. You must apply the formula for calculate the arc length, which is:

arc length=(angle)(radius)

2- As you can see, the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians. Therefore, you have:

The angle is:

1 1/2 radians=1.5 radians

3. When you susbtitute these values into the formula, you obtain:

arc length=(1.5 radians)(5 yards)
arc lenght=7.5 yards

4. Therefore, the answer is: 7.5 yards.

The perimeter of a square garden is to be at least 30 feet but not more than 64 feet. Find all possible values for the length of its sides.

Answers

Answer:

$7.5\leq x\leq 16$

Step-by-step explanation:

Let x be the length of each side of square.

Since the perimeter of the square is 4 times the length of each side, so perimeter of our given circle will be 4x.

We have been given that the perimeter of a square garden is to be at least 30 feet but not more than 64 feet.

This means the perimeter of the garden should we greater than or equal to 30 feet and less than or equal to 64 feet.

We can represent this information in an equation as:

$30\leq 4x\leq64$

Let us divide our inequality by 4 to solve for x.

$(30)/(4)\leq (4x)/(4)\leq(64)/(4)$

$7.5\leq x\leq 16$

We can represent our answer in interval notation as: $[7.5,16]$

Therefore, the length of the square's side can be any number between 7.5 feet and 16 feet including both 7.5 and 16 as well.

$4x \in <30.64>/:4 \n x \in <7.5,16>$

A car dealership lowered all of its car prices by 15%. Given the above information, what was the original price of a car now priced at £9500?

Answers

9,500 is 15% less than the original price.
So it must be 85% of the original price.

£9,500 = 0.85 P

Divide each side by 0.85 :

P = £9,500 / 0.85 = £11,176.47

the original price would be 9500+(0.15*9500)=10925

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