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stich3 [128]
2 years ago
8

Please help me! Determine the area

Mathematics
1 answer:
Ghella [55]2 years ago
7 0

9514 1404 393

Answer:

  31.41 ft²

Step-by-step explanation:

Heron's formula is useful when you have the three side lengths.

  A = √(s(s -a)(s -b)(s -c)) . . . . sides are a, b, c and s = (a+b+c)/2

Using the given side lengths, we have ...

  s = (8 +8.4 +13.5)/2 = 29.9/2 = 14.95

  A = √(14.95(14.95 -8)(14.95 -8.4)(14.95 -13.5)) = √(14.95×6.95×6.55×1.45)

  A = √986.81399375 ≈ 31.41 . . . . square feet

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Solve the system of equations. (3x + 4y = 5) (2x - 3y = -8)
vovikov84 [41]

Answer:

the solution is (-1, 2)

Step-by-step explanation:

Let's solve the system

(3x + 4y = 5)

(2x - 3y = -8)

using the method of elimination by addition and subtraction.  Notice that if we multiply all terms of the first equation by 3 and all terms of the second by 4, y as a variable will temporarily disappear:

  9x + 12y = 15

  8x - 12y  = -32

-----------------------

 17x       = - 17, so x = -1.  

Replacing x in the second equation by -1, we get:

2(-1) - 3y = -8, or

2 + 3y = 8,

or 3y = 6.  Thus, y = 2, and the solution is (-1, 2).

5 0
2 years ago
Phenylketonuria (pku) is an inherited disease caused by an autsomal recessive allele. if two individuals who are carriers of pku
velikii [3]
It's 25 percent as it's Aa plus Bb which gives 4 combinations and one of them is the answer. thus 1/4 equals 25percent
3 0
3 years ago
Simplify the polynomial(-8×)+×+(-2×)​
Morgarella [4.7K]

Answer:

-9x

Step-by-step explanation:

Without the confusing parentheses, this "polynomial" becomes -8x + x -2x. If we take 2 away from -8, it becomes -10. If we add a positive x, it becomes -9x. Therefore, the answer is (the monomial) -9x.

8 0
3 years ago
Read 2 more answers
A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 550-meter head st
andrew-mc [135]

Answer:

a) distance covered by hare d1 = 8t

b) distance covered by tortoise d2 = 5t + 550

c) ∆d = 550 - 3t

Step-by-step explanation:

Given;

Speed of hare u = 8m/s

Speed of tortoise v = 5 m/s

Initial distance of tortoise d0 = 550 m

a) using the equation of motion;

distance covered = speed × time + initial distance

d = vt + d0

For hare;

d0 = 0

Substituting the values;

d1 = 8t + 0

d1 = 8t

b)using the equation of motion;

distance covered = speed × time + initial distance

d2 = vt + d0

For tortoise;

d0 = 550m

Substituting the values;

d2 = 5t + 550

d2 = 5t + 550 m

c) the number of meters the tortoise is ahead of the hare.

∆d = distance covered by tortoise - distance covered by hare

∆d = d2 - d1

Substituting the values;

∆d = (5t + 550) - 8t

∆d = 550 - 3t

6 0
2 years ago
What is the distance between (-6,2) and (8,10) on a coordinate grid
r-ruslan [8.4K]

Answer: 14 right and 8 up, or (14, 8)

Step-by-step explanation:

To find the distance, you can subtract or add numbers.

So from (-6, 2) to 0, I have to move right 6 spaces to get (0, 2).

Then, I must move 8 to the right to get (8, 2).

From here, I continue to move up 8 since we want to get to (8,10). So in all, you should move 14 spaces to the right and 8 up (14, 8).

5 0
3 years ago
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