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4 years ago

A gardener uses 3 of a liter of water to water 7 of a garden.

Mathematics

1 answer:

arsen [322]4 years ago

8 0

Im not fully correct but i think you just multiply 3 x7= 21

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You invest $4,200 in an account that pays an interest rate of 6.5%, compounded continuously

almond37 [142]

A=4200*e^.65
A=$8045.27
This is almost doubling, and the rule of 72 would predict doubling in 11 years, so the answer makes sense.

8 0

3 years ago

tessa wants to make a bandana for her dog by folding a square cloth into a 45-45-90 triangle. her dog's neck has a circumference

dexar [7]

Answer:

The side length of the square will be 11 cm.

Step-by-step explanation:

Tessa wants to make a bandana for her dog by folding a square cloth into a 45-45-90 triangle.

Her dog's neck has a circumference of about 32 cm. the folded bandana needs to be an extra 16 cm long so Tessa can tie it around her dog's neck.

So, the hypotenuse of the 45-45-90 triangle has a length of (32 - 16) = 16 cm.

As a 45-45-90 triangle is an isosceles right triangle with side length a cm (say), then

$\sqrt{a^{2} + a^{2}} = 16$

⇒ 2a² = 16² = 256

⇒ a² = 128

⇒ a = 8√2 cm.

Therefore, the side length of the square will be 8√2 cm ≈ 11 cm. (Answer)

8 0

4 years ago

Explain how finding 4 x 384 can help you find 4 x 5384

lana [24]

Because you can do the math of 4 times 5000 in your head *20,000* and then add what you got when you multiplied 4 × 384

4 0

3 years ago

How many equivalence relations are there on the set 1, 2, 3]?

Alex787 [66]

Answer:

We need to find how many number of equivalence relations are on the set {1,2,3}

A relation is an equivalence relation if it is reflexive, transitive and symmetric.

equivalence relation R on {1,2,3}

1.For reflexive, it must contain (1,1),(2,2),(3,3)

2.For transitive, it must satisfy: if (x,y)∈R then (y,x)∈R

3. For symmetric, it must satisfy: if (x,y)∈R,(y,z)∈R then (x,z)∈R

Since (1,1),(2,2),(3,3) must be there is R, (1,2),(2,1),(2,3),(3,2),(1,3),(3,1). By symmetry,

we just need to count the number of ways in which we can use the pairs (1,2),(2,3),(1,3) to construct equivalence relations.

This is because if (1,2) is in the relation then (2,1) must be there in the relation.

the relation will be an equivalence relation if we use none of these pairs (1,2),(2,3),(1,3) . There is only one such relation: {(1,1),(2,2),(3,3)}

we can have three possible equivalence relations:

{(1,1),(2,2),(3,3),(1,2),(2,1)}

{(1,1),(2,2),(3,3),(1,3),(3,1)}

{(1,1),(2,2),(3,3),(2,3),(3,2)}

6 0

4 years ago

What is 364 x 26 distributive property

masha68 [24]

(300+64)x(20+6) just divide te numbers into diferrent groups

3 0

4 years ago