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Tamiku [17]
3 years ago
5

Find the value of x. Round the answer to the nearest tenth, if needed.

Mathematics
1 answer:
Dafna1 [17]3 years ago
4 0
Let the other 2 unknown sides be y n z

look at the two smaller triangles inside

y^2 = 12^2 + x^2   and

z^2 = 21^2 + x^2

from the biggest triangle

(12+21)^2 = y^2 + z^2

substituting

(12+21)^2 = (12^2 + x^2) + (21^2 + x^2)

33^2 = 12^2 + 21^2 + 2x^2

2x^2 = (33^2 - 12^2 - 21^2)/2 = 504

x^2 = 252

x = 15.9

ans is B
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This isosceles triangle has two sides of equal length , a, that are longer than the length of the base , b. The perimeter of the
Sholpan [36]
We are give the equation of the perimeter of the triangle as follows:
2a + b = 15.7 
where b represents the base.

Now, if we want to calculate the length of the base, all we have to do is isolate the b in one side of the equation as follows:
b = 15.7 - 2a

We know that a = 6.3 cm, therefore, the length of the base can be calculated as follows:
b = 15.7 - 2(6.3) = 3.1 cm
4 0
4 years ago
A stadium has 50,000 seats. Seats sell for $35 in section A, $30 in section B, and $25 in section C. The number of seats in sect
Dennis_Churaev [7]
The answer is Section A. has 25,000 seats,section B. has 12,500 seats and section C. has 12,500 seats.

How I got to the answer.
I divided 50,000÷4=12,500 then I multiplied 12,500×2=25,000.
I hope this helps.
3 0
3 years ago
Solve : h /24 = - 6
docker41 [41]

Answer:

h = -144

you multiply 24 and -6 to get -144.

5 0
3 years ago
Read 2 more answers
Given g(x)=|-3x+16|, if g(x)=18, find x.
LenaWriter [7]

Answer:

x = - \frac{2}{3} , x = \frac{34}{3}

Step-by-step explanation:

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

- 3x + 16 = 18 or -(- 3x + 16) = 18

Solving

- 3x + 16 = 18 ( subtract 16 from both sides )

- 3x = 2 ( divide both sides by - 3 )

x = - \frac{2}{3}

or

-(- 3x + 16) = 18

3x - 16 = 18 ( add 16 to both sides )

3x = 34 ( divide both sides by 3 )

x = \frac{34}{4}

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

| - 3(- \frac{2}{3} ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True

| - 3(\frac{34}{3} ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True

Thus x = - \frac{2}{3} and x = \frac{34}{3} are the solutions

8 0
3 years ago
Read 2 more answers
Jonathan weighs thirty pounds more than three times his son Aidan's weight.Their combined weight is 210 pounds.Write an equation
aalyn [17]
The equation should be
j = 30 + 3a
j + a = 210

Solving the equation
j + a = 210
(30 + 3a) + a = 210
30 + 4a = 210
4a = 180
a = 45

j = 30 + 3a
j = 30 + 3 × 45
j = 30 + 135
j = 165

Aiden's weight is 45 pounds, Jonathan's weight is 165 pounds
8 0
4 years ago
Read 2 more answers
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