Ask question

Ask question

All categories

3 years ago

8

The area of a sail is 40 1/2 square feet. The base and the height of the sail are equal. What is the height of the sail (in feet

)?

2 answers:

RideAnS [48]3 years ago

5 0

Answer:

Height of the sail is 9 feet.

Step-by-step explanation:

Since sail is in the shape of a triangle and the formula of a triangle is

Area = (1/2)×Base×Height

Area of the sail has been given in the question and we have to calculate the height of the sail.

40.5 = (1/2)× Height× Height ( since base = height)

40.5×2 = height² = 81

height = √81 = 9 feet.

grin007 [14]3 years ago

3 0

Both base and height of the sail is 40 1/2 feet.

A sail is triangular in shape. Finding the area of a triangle is multiplying its base and height and dividing the product by 2.

A = 1/2 bh

Area = 40 1/2 or 40.50 sq. ft
Since base and height are equal.
40.50 x 2 = 81
bh = 81
bh = 81 ÷ 2
b = 40 1/2 ft
h = 40 1/2 ft

You might be interested in

Find the sum. 1. -7+(-5) <br> O-12 <br>O-2 <br>0 2 <br>0 12

AleksAgata [21]

Answer:

-12

Step-by-step explanation:

-7+(-5)=

-7-5=

-12

7 0

3 years ago

The equation having null set as its solution set is

KIM [24]

Answer:

B) x = e^x

Step-by-step explanation:

The graphs of y = e^x and y = x never intersect, so the solution set will be the empty (null) set for ...

x = e^x

_____

There is one intersection of y=x with cos(x) and with sin(x). There are an infinite number of solutions for x = tan(x).

4 0

3 years ago

The center of a hyperbola is (−4,3) , and one vertex is (−4,7) . The slope of one of the asymptotes is 2.

Monica [59]

Answer:

The answer to your question is below

Step-by-step explanation:

C (-4, 3)

V (-4, 7)

asymptotes = 2 = $\frac{b}{a}$

- This is a vertical hyperbola, the equation is

$\frac{(y - k)^{2} }{a^{2} } + \frac{(x - h)^{2} }{b^{2} } = 1$

slope = 2

a is the distance from the center to the vertex = 4

b = 2(4) = 8

$\frac{(y - 3)^{2} }{4^{2} } + \frac{(x + 4)^{2} }{8^{2} } = 1$

$\frac{(y - 3)^{2} }{16} + \frac{(x + 4)^{2} }{64} = 1$

7 0

3 years ago

Read 2 more answers

45% of what distance is 135 miles

horrorfan [7]

300 miles. Hope it helps

8 0

3 years ago

Read 2 more answers

Can y’all please help me answer these questions

mario62 [17]

Step-by-step explanation:

4.

⇒ $V = \pi r^{2}h$

⇒ $V = \pi(10)^{2}(40)$

⇒ $V = 4000\pi$

⇒ $V = 12566.4cm^{3}$

5.

⇒ $V = \frac{1}{3}\pi r^{2}h$

⇒ $V = \frac{1}{3}\pi (8)^{2}(h)$

As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.

⇒ $a^{2} + b^{2} = c^{2}$

⇒ $(8)^{2} + h^{2} = 20^{2}$

⇒ $h = \sqrt{20^{2} - 8^{2}}$

⇒ $h = 4\sqrt{21}$

Now substitute this into the volume formula.

⇒ $V = \frac{1}{3}\pi (8)^{2}(4\sqrt{21})$

⇒ $V = \frac{256\sqrt{21} }{3}\pi$

⇒ $V = 1228.5mm^{3}$

6.

⇒ $V = l^{3}$

⇒ $V = (3.1)^{3}$

⇒ $V = 29.8inches^{3}$

7.

⇒ $V = \frac{1}{3}lwh$

⇒ $V = \frac{1}{3}(12)(4)(6)$

⇒ $V = 96inches^{3}$

6 0

3 years ago

Read 2 more answers