Ask question

Ask question

All categories

2 years ago

11

The sailboat has 1 large sail and one small sail. The large sail is 24 feet tall. The base of the sail is 12 feet long. What is

the area of the large sail?

1 answer:

emmainna [20.7K]2 years ago

7 0

Answer:

The area of the large sail of the sailboat is 144 feet² .

Step-by-step explanation:

Given as :

The measure height of the large sail = 24 feet

The measure of base of the sail = 12 feet

The area of the sail = A feet²

Now, <u>Since The sail of the sailboat is in the form of right angle triangle</u>

So, From The area right angle triangle

Area of right angle Triangle = $\frac{1}{2}$ × height × base

Area = $\frac{1}{2}$ × height of the sail × base of sail

Or, A = $\frac{1}{2}$ × 24 × 12

Or , A = $\frac{288}{2}$

∴ A = 144 feet²

So, the area of sail = 144 feet²

Hence The area of the large sail of the sailboat is 144 feet² . Answer

You might be interested in

Select the function that represents a parabola with zeros at x = –2 and x = 4, and y-intercept (0,–16). A ƒ(x) = x2 + 2x – 8 B ƒ

Ahat [919]

Answer:

D. $f(x) = 2\cdot x^{2}-4\cdot x -16$

Step-by-step explanation:

Any parabola is modelled by a second-order polynomial, whose standard form is:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

In addition, a system of three linear equations is constructed by using all known inputs:

(-2, 0)

$4\cdot a -2\cdot b + c = 0$ (Eq. 1)

(4, 0)

$16\cdot a + 4\cdot b +c = 0$ (Eq. 2)

(0,-16)

$c = -16$ (Eq. 3)

Then,

$4\cdot a - 2\cdot b = 16$ (Eq. 4)

$16\cdot a + 4\cdot b = 16$ (Eq. 5)

(Eq. 3 in Eqs. 1 - 2)

$a - 0.5\cdot b = 4$ By Eq. 4 (Eq. 4b)

$a = 4 + 0.5\cdot b$

Then,

$16\cdot (4+0.5\cdot b) + 4\cdot b = 16$ (Eq. 4b in Eq. 5)

$64 + 12\cdot b = 16$

$12\cdot b = -48$

$b = -4$

The remaining coeffcient is:

$a = 4 + 0.5\cdot b$

$a = 4 + 0.5\cdot (-4)$

$a = 2$

The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is $f(x) = 2\cdot x^{2}-4\cdot x -16$ . Thus, the right answer is D.

6 0

3 years ago

What is the answer to this question

marshall27 [118]

I believe it would be 4:34. soz if i get it wrong.

7 0

3 years ago

Read 2 more answers

For what values of a is the value of the binomial 2a−1 smaller than the value of the binomial 7−1.2a by 7?

Nimfa-mama [501]

ANSWER

$a = \frac{5}{16}$

EXPLANATION

We want to find the value of a for which the binomial, 2a-1 is smaller than the value of the binomial 7-1.2a by 7.

This means that, when we subtract 2a-1 from 7-1.2a, we should get 7.

$7 - 1.2a - (2a - 1) = 7$

Expand:

$7 - 1.2a - 2a + 1= 7$

Group similar terms:

$- 1.2a - 2a = 7 - 7 - 1$

$- 3.2a = - 1$

Divide both sides by -3.2,

$a = \frac{ - 1}{ - 3.2}$

$a = \frac{5}{16}$

7 0

3 years ago

You and your friend are practicing for a rowing competition and want to know how far it is to an island in the Indian River Lago

zepelin [54]

The drawing is missing, so i have attached it.

Answer:

24 yards

Step-by-step explanation:

From the image, we can see that AB and DE are both adjacent sides of their respective triangles.

While, CE and BC are both opposite sides of their respective triangles

Now, from your side, x is the distance to the island.

So, from ratio of similar triangles, we can find x.

Thus;

8/x = 3/9

Cross multiply to get;

8 × 9 = 3x

3x = 72

x = 72/3

x = 24

Thus, distance from your side to the island is 24 yards

6 0

2 years ago

Please help, last week of school and I don’t understand this at all

rodikova [14]

Answer:

The answer to the problem is C

3 0

2 years ago

Read 2 more answers