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3 years ago

Work out the length of the perimeter.

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

Try this option:
According to property such triangle
1. area=0.5*a*b, where a and b - the sides of angle 90°.
Using this equation: 180=0.5*40*b, ⇒ b=9.
2. c²=a²+b², ⇒c=√(9²+40²)=41 - the third side of the triangle;
3. Perimeter=a+b+c=9+40+41=90 cm.

answer: 90 cm.

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Count the left-handed and right-handed spirals on the cacti in the photograph.

Digiron [165]

Answer:

2 = 1 + 1

3 = 2 + 1

5 = 3 + 2

8 = 5 + 3

13 = 8 + 5

21 = 13 + 8.

Fibonacci numbers are found in many structures in nature.

We have just found that these cacti enclose Fibonacci numbers 13 and 21.

13 and 21

Step-by-step explanation:

8 0

2 years ago

Anyone mind helping me! ( The selected answer was chosen on accident!)

deff fn [24]

Answer:

-x² - 4x + 6

Step-by-step explanation:

(-2x² - 3x + 4) - (-x² + x - 2) =

= -2x² - 3x + 4 + x² - x + 2

= -x² - 4x + 6

4 0

2 years ago

Forty square inches of material is available to make a cylindrical; can of tuna and water. What dimensions of the can will give

krek1111 [17]

The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume

Step-by-step explanation:

Let us revise the rule of surface area and volume of a cylinder

S.A = 2π r h + 2π r²
V = π r² h

Forty square inches of material is available to make a cylindrical; can of tuna and water, we need to find the dimensions of the can that will give the most volume

∵ S.A = 40 inches²

∵ S.A = 2π r h + 2π r²

∴ 2π r h + 2π r² = 40

Let us use this rule to find h in terms of r

- Subtract 2π r² from both sides

∵ 2π r h = 40 - 2 π r²

- Divide both sides by 2π r

∴ $h=\frac{40-2\pi r^{2}}{2\pi r}$

∴ $h=\frac{40}{2\pi r}-\frac{2\pi r^{2}}{2\pi r}$

∴ $h=\frac{20}{\pi r}-r$

∵ V = π r² h

- Substitute h by its value above

∴ $V=\pi r^{2}(\frac{20}{\pi r}-r)$

∴ V = 20 r - π r³

To find the most volume differentiate it with respect to r and equate it by 0 to find the value of r

∵ $\frac{dV}{dr}$ = 20 - 3π r²

∵ $\frac{dV}{dr}$ = 0

∴ 20 - 3π r² = 0

- Add 3π r² to both sides

∴ 20 = 3π r²

- Divide both sides by 3π

∴ r² = 2.122

- Take √ for both sides

∴ r = 1.457 inches

To find h substitute the value of r in the expression of h

∵ $h=\frac{20}{\pi r}-r$

∴ $h=\frac{20}{\pi (1.457)}-(1.457)$

∴ h = 2.913 inches

The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume

Learn more:

You can learn more about volume of solids in brainly.com/question/6443737

#LearnwithBrainly

3 0

3 years ago

One hundred riders from several countries participated in a bicycle race. Only eighty riders, including Juan and Charlie, finish

kondaur [170]

Answer:

Finished minutes or more: Yes

Three least tired: No

Best looking bikes: No

Finished the race: Yes

Countries of origin of riders who didn't finish: Yes

Step-by-step explanation:

Things displayed on the board: name of rider, country of origin, finishing time

Finished minutes or more: anyone who finished who wasn't in first

Three least tired: subjective information, not on the board

Best looking bikes: subjective information, not on the board

Finished the race: everyone who doesn't have DNF next to their name

Countries of origin of riders who didn't finish: countries of anyone with DNF next to their name

5 0

2 years ago

Look at the figure below. which ratio represents tan 0?<br>A -5/4, B -4/5, C -3/4, D 3/5.<br>

elixir [45]

The correct answer is D) 3/5

7 0

3 years ago