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notka56 [123]
3 years ago
14

the area of a kite is 384 square feet. one diagonal is three times as long as the other diagonal. find the length of each diagon

al.
Mathematics
1 answer:
lys-0071 [83]3 years ago
8 0
The lengths of the diagonals are 16 and 48 feet.

To find the area of a kite, you multiply the lengths of the diagonals by each other and divide by 2. All we need to do is fill in the information in the formula and solve for the missing side.

A = pq/2

384 = (x(3x))/2
768 = 3x^2
256 = x^2
16 = x

Now, just multiply this diagonal of 16 by 3 to find the other diagonal of 48.
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Solve the system of equations: y= x^2 + 2x - 3 and y=3x+ 3.
Semenov [28]

Answer:

(-2, -3)

(3, 12)

Step-by-step explanation:

To solve this, we're gonna get rid of the y's with substitution

x² + 2x - 3 = 3x + 3

Let's make this equation equal to zero

Subtract 3 from both sides

x² + 2x - 3 = 3x + 3

            - 3         - 3

x² + 2x - 6 = 3x

Subtract 3x from both sides

x² + 2x - 6 = 3x

    - 3x        - 3x

x² - x - 6 = 0

Factor the equation

(x - 3)(x + 2) = 0

This means x can be -2 or 3

Let's solve it with -2 first, plug the new x in y = 3x + 3

y = 3(-2) + 3

y = -6 + 3 = -3

Do the same for x = 3

y = 3(3) + 3

y = 9 + 3 = 12

3 0
2 years ago
Nate is exponentially gaining Twitter followers! His current amount of followers is 146. His followers are increasing at a 24% r
tia_tia [17]

Answer:

(a) Growth

(b)\ y = 146(1.24)^x

Step-by-step explanation:

Given

a= 146 -- current

r = 24\% --- rate

Solving (a): Growth or decay

The question says his followers increases each day by 24%.

Increment means growth.

<em />

<em>Hence, it is a growth problem</em>

Solving (b): Equation to represent the scenario.

Since the rate represents growth, the equation is:

y = a(1 + r)^x

Substitute: a= 146 and r = 24\%

y = 146 * (1 + 24\%)^x

y = 146 * (1 + 0.24)^x

y = 146 * (1.24)^x

y = 146(1.24)^x

5 0
3 years ago
Nate solve the equation 3 times 5 equals 15 by writing and solving 15 divided by 5 is 3 x plane why Nate's method works
Vsevolod [243]
Division is the opposite from multiplication
8 0
3 years ago
a coin is tossed and a number cube is rolled what is the probability that the coin shows heads and the number cube shows 5
Reptile [31]

Answer:

If it is a 6 sided dice, then the probability will be roughly a 1 in 12 chance

Step-by-step explanation:

I think, not entirely sure, sorry if it is wrong

8 0
3 years ago
Add me as your friend
natka813 [3]

Answer:

no thank you

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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