Question is worth 25 points what is 15 squared?

Find the perimeter of an equilateral triangle that has a side measure of 45 cm.

Sav [38]

A triangle with 45 cm of perimeter has 15 cm of side. The

"altitude" connects the middle of one side to the opposite vertice. This forms a rectangle triangle with hypothenuse 15 cm and the small catet a= 7.5 cm. So by the Pythagoras theorem we must solve the equation:

7.5^2+b^2=15^2

b=sqrt(225-56.25)=sqrt(168.75)=12.99 cm

Other solution was using trigonometry:

b/(side)= sin(pi/3)=sqrt(3)/2

b=7.5*sqrt(3)/2=12.99 cm

7 0

3 years ago

Doris paid $316.80 for wallpaper to cover a 24 foot by 12 foot wall. She used all the wallpaper she purchased, with no waste or

tatiyna

The answer is $1.10 because if you divide and multiply by the other answers this answer is the only one that makes sense

4 0

4 years ago

You buy two shirts online that cost x dollars each. The total which includes a $10 shipping fee is $39.98. Which equation can yo

Softa [21]

Answer:

C. 2x + 10 = 39.88

Step-by-step explanation:

2x will give you the price of the 2 shirts and you have to add the fee of $10 to get the total of $39.88

3 0

3 years ago

Find the value of x that would prove y is parallel to z. State the converse used to support your answer.

astraxan [27]

Answer:

$x = 15$

Step-by-step explanation:

By the Consecutive Interior Angles Converse, if $(3x + 7) + (10x - 22) = 180$ , then y is parallel to z.

Solve for x

$3x + 7 + 10x - 22 = 180$

Combine like terms

$3x + 10x + 7 - 22 = 180$

$13x - 15 = 180$

Add 15 to both sides

$13x - 15 + 15 = 180 + 15$

$13x = 195$

Divide both sides by 13

$\frac{13x}{13} = \frac{195}{13}$

$x = 15$

8 0

3 years ago

A veterinarian is enclosing a rectangular outdoor running area against his building for the dogs he cares for. He needs to maxim

NISA [10]

Answer:

a) The length of the building that should border the dog run to give the maximum area = 25feet

b) The maximum area of the dog run = 1250 s q feet²

Step-by-step explanation:

Step(i):-

Given function

A(x) = x (100-2x)

A (x) = 100x - 2x²...(i)

Differentiating equation (i) with respective to 'x'

$\frac{dA}{dx} = 100 (1) - 2 (2x)$

⇒ $\frac{dA}{dx} = 100 - 4 x$ ...(ii)

Equating zero

⇒ 100 - 4x =0

⇒ 100 = 4x

Dividing '4' on both sides , we get

x = 25

Step(ii):-

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} A}{dx^{2} } = -4 (1) < 0$

Therefore The maximum value at x = 25

The length of the building that should border the dog run to give the maximum area = 25

Step(iii)

Given A (x) = x ( 100 -2 x)

substitute 'x' = 25 feet

A(x) = 25 ( 100 - 2(25))

= 25(50)

= 1250

Conclusion:-

The maximum area of the dog run = 12 50 s q feet²

3 0

3 years ago