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Deffense [45]
3 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?
Mathematics
1 answer:
emmainna [20.7K]3 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

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Nora's paper airplane flew 9 1/6 feet. That was 2 3/4 feet farther than Max's plane flew. Write and solve an equation to show ho
stepan [7]

Answer:

Max's paper airplane flew \frac{77}{12} feet or 6\frac{5}{12} feet.

Step-by-step explanation:

As Nora's paper airplane flew 9 1/6 feet

i.e.

9\frac{1}{6}=\frac{55}{6}

Nora's paper was farther than Max's plane flew by = 2 3/4 feet

i.e.

2\frac{3}{4}=\frac{11}{4}

Thus the equation to show how far Max's paper airplane flew is:

\:\:9\frac{1}{6}-2\frac{3}{4}

=\frac{55}{6}-\frac{11}{4}

\mathrm{Least\:Common\:Multiplier\:of\:}6,\:4:\quad 12

\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}

=\frac{110}{12}-\frac{33}{12}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{110-33}{12}

\mathrm{Subtract\:the\:numbers:}\:110-33=77

=\frac{77}{12}

=6\frac{5}{12}

Therefore, Max's paper airplane flew \frac{77}{12} feet or 6\frac{5}{12} feet.

6 0
3 years ago
The height of a right cylinder is 2r, where r is the radius. Write a function f in simplest form that represents the ratio of th
makkiz [27]
F = 3/r.

The formula for the volume of a cylinder is

V=πr²h.  We know that h=2r, so this gives us:

V = πr²(2r) = 2πr³

The surface area of a cylinder is the sum of the areas of all of the faces.  The bottom and top are circles, whose areas are both given by A=πr².  The lateral area of a cylinder is given by the circumference multiplied by the height.  C = 2πr, and the height is 2r, so the lateral area would be

A=(2πr)(2r)= 4πr².  This gives us a total surface area of

SA = 4πr²+πr²+πr² = 6πr².

The ratio of surface area to volume would be:

SA/V = 6πr²/2πr³.  After simplifying, we have f=3/r.
8 0
3 years ago
PLZ ANSWER FAST I GIVE BRAINLIEST Which algebraic expression represents “the product of a number and five”?
S_A_V [24]
When two terms are directly next two each other, they are being multiplied.
The answer is 5n
7 0
4 years ago
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The area of a square is 321 square feet. Which best represents the length of a side?​
sdas [7]
The side length is about 17.916

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3 years ago
Richard and Teo have a combined age of 37. Richard is 4 years older than twice​ Teo's age. How old are Richard and​ Teo?
valkas [14]

Answer:

Teo is 11 years old and Richard is 26 years old.

Step-by-step explanation:

Let R be the age of Richard and T be the age of Teo.

<u><em>First set up the equations:</em></u>

The combined age of Teo and Richard is 37:

R+T=37

Richard is four years old than twice Teo's age:

R=2T+4

<u><em>Then, solve the equations:</em></u>

Substitute (2) to (1) and solve for T:

(2T+4)+T=37

3T=11

T=11

Solve for R using (2):

R=2(11)+4

R=22+4

R=26

5 0
3 years ago
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