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PolarNik [594]
3 years ago
15

Estimate the circumference of a circle that has a diameter of 13 yards.

Mathematics
1 answer:
bezimeni [28]3 years ago
3 0

Answer: Approximately 40.84 yards

Step-by-step explanation:

13 * π=  40 .84

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Tristán wants to build a square garden in his backyard if the garden is going to be 64 ft2 how many feet of material will he nee
Alex777 [14]

Answer:

Tristan will need 32 feet of material for the perimeter of the garden.

Step-by-step explanation:

Given that

Area of square garden = A = 64 square feet

Perimeter = P = ?

We know that for calculation of perimeter, length of side of square is required which is not directly given in the question. The area will be used to calculate length of side and then length will be used to calculate the perimeter.

So,

Area = A = s^2

s is for side

Putting the value of area

64 = a^2

Taking square root on both sides

\sqrt{s^2} = \sqrt{64}\\s = 8\ feet

The length of side is 8 feet.

Perimeter will be:

P = 4*s\\P = 4*8\\P = 32\ feet

Hence,

Tristan will need 32 feet of material for the perimeter of the garden.

3 0
3 years ago
The diagram shows a right-angled triangle.
Margarita [4]
1/sin(38)*7=11.4
Hope it helps
6 0
3 years ago
The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba
siniylev [52]
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

x(x+5)=204 \\
x^2+5x=204 \\
x^2+5x-204=0 \\
x^2+17x-12x-204=0 \\
x(x+17)-12(x+17)=0 \\
(x-12)(x+17)=0 \\
x-12=0 \ \lor \ x+17=0 \\
x=12 \ \lor \ x=-17

The length of the base of a parallelogram must be a positive number, so x=12.

\hbox{the base:} \\ x=12 \\ \\
\hbox{the height:} \\ x+5=12+5=17

The base is 12 feet long, the height is 17 feet long.
8 0
3 years ago
4/5 x = 8 i need to show my work​
Anika [276]

Answer:

x=10

Step-by-step explanation:

I'm assuming you needed to solve for x. Here is how you do it:

first, divide both sides by 4/5 to get x by itself.

this will give you x=8 divided by 4/5.

To solve 8 divided by 4/5 you do keep switch flip.

keep the first number (8), switch the sign (division to multiplication), and flip the other fraction (4/5 to 5/4) then you can just multiply across the top (8/1 *5/4) which equals 40/4. This simplified is 10

4 0
3 years ago
William has a 26 -liter glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill th
Ann [662]

Answer: 0.06 litre or 60 ml


Step-by-step explanation:

Given: The capacity of glass tank= 26 liter

If he add 20.9 liters of water after 85 marbles to fill it completely, then

The volume of 85 marbles= 26-20.9=5.1\ liters

Since, the marbles have same volume.

∴ Volume of each marble= \frac{\text{volume of 85 marbles}}{\text{85}}

⇒ Volume of each marble=\frac{5.1\ litre}{85}=0.06\ liters

In milliliters, Volume of each marble=0.06\times1000=60ml

4 0
3 years ago
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