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3 years ago

14

Using the right triangle Find the value of x' 13 X 12

1 answer:

sineoko [7]3 years ago

4 0

Answer:

5

Step-by-step explanation:

Apply Pythagorean theorem

$13 {}^{2} = 12 {}^{2} + x {}^{2} \\ 169 = 144 + x {}^{2} \\ x {}^{2} = 169 - 144 \\ x {}^{2} = 25 \\ x = \sqrt{25} \\ x = 5$

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For a population with µ = 80 and σ = 20, the distribution of sample means based on n = 16 will have an expected value of _______

wlad13 [49]

Answer:

calculate the number of atom in 3 mol helium

7 0

1 year ago

A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

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

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

5a + 18 < −27 pre algibra

Grace [21]

Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

5 0

3 years ago

Read 2 more answers

What are the solutions of the quadratic equation? Solve by factoring. 4x^2-18x+20=0

Romashka-Z-Leto [24]

Answer:

x = 5/2,2

Step-by-step explanation:

3 0

3 years ago

there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three time

hoa [83]

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

$0.05x + 0.1y + 0.25z = 3.65$

Dimes: 3 times greater than nickels:

This means that:

$y = 3x$

Quarters: One greater than double the number of nickels:

This means that:

$z = 2x + 1$

Value of x:

We have y and z as function of x, so we can replace into the equation and find the value of x, so:

$0.05x + 0.1y + 0.25z = 3.65$

$0.05x + 0.1(3x) + 0.25(2x+1) = 3.65$

$0.05x + 0.3x + 0.5x + 0.25 = 3.65$

$0.85x = 3.4$

$x = \frac{3.4}{0.85}$

$x = 4$

y and z:

$y = 3x = 3(4) = 12$

$z = 2x + 1 = 2(4) + 1 = 9$

There are 9 quarters, 4 nickels and 12 dimes.

A similar question is found at brainly.com/question/17096268

4 0

3 years ago