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Keith_Richards [23]
2 years ago
13

I need help with this asap

Mathematics
1 answer:
ddd [48]2 years ago
6 0

Answer:

SAS

Step-by-step explanation:

Becaus it is rectangle when we see it at the diagonal

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A = 1/2 × b × h

Step-by-step explanation:

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What is this math problem x²+9×+14=0
WINSTONCH [101]
x^2+9x+14=0\\\\ x_{1}=\frac{-b-\sqrt{b^2-4ac} }{2a}=\frac{-9-\sqrt{9^2-4*1*14 } }{2 }=\frac{-9-\sqrt{81-56 } }{2 }= \frac{-9-\sqrt{25 } }{2 }=\\\\=\frac{-9-5 }{2 }=\frac{-14 }{2 }= -7\\\\ x_{2}=\frac{-b+\sqrt{b^2-4ac} }{2a}=\frac{-9+\sqrt{9^2-4*1*14 } }{2 }= \frac{-9+5 }{2 }=\frac{- 4 }{2 }= -2


5 0
3 years ago
A piggy bank contains a total of 84 coins in nickels and quarters worth $12.80.
Kitty [74]

Let's make a system of equations to solve for this:

n + q = 84

0.05n + 0.25q = 12.80

where n = nickels and q = quarters.

---

Solve for n in the first equation by subtracting q from both sides.

n = 84 - q

---

Plug n into the second equation.

0.05(84 - q) + 0.25q = 12.80

Distribute 0.05 inside the parentheses.

4.2 - 0.05q + 0.25q = 12.80

Combine like terms.

4.2 + 0.2q = 12.80

Subtract 4.2 from both sides.

0.2q = 8.6

Divide both sides by 0.2.

q = 43

---

Plug 43 for q in the first equation.

n + (43) = 84

Subtract 43 from both sides.

n = 41

---

There are 41 nickels and 43 quarters in the piggy bank. ✅

8 0
3 years ago
Galen sold tickets for his church’s carnival for a total of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 ea
Veronika [31]

Answer:

a = 195 ; c = 615

Step-by-step explanation:

So, you want to start by forming your equations...

I will use 'c' for children and 'a' for adults for my variables

3a + 30 = c  

(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)

then for equation 2:

3c + 5a = 2820

(this is because of the prices of the tickets and the total money raised)

Then, plug in the equation for c

Your equation should look like:

3(3a + 30) + 5a = 2820

You get:

(9a +90) + 5a = 2820

Then:

14a = 2730

So:

a = 195 adult tickets sold

Plug in a, to find c:

3 (195) + 30 = c

585 + 30 = c

c = 615 children tickets sold

4 0
2 years ago
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