Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits

Answer:

-2

Step-by-step explanation:

=-3 2/5 * 5/34

=-17/5 * 5/34

=-1/2

multiplicative inverse of -1/2 is -2

Answer:

9/79/169%

Step-by-step explanation:

16/169×100%=9/79/169%

Answer:

-7/2,-2.1,✓5,✓9,3.5

Step-by-step explanation:

✓5=2.23

✓9=3

-7/2=-3.5

Answer:

C. 4.

Step-by-step explanation:

Multiply by the LCD of 2 and 4 which is 4.

Answer:

Answer is D

Step-by-step explanation:

Basically, when finding the perimeter you add up all the sides. So 10 + 5 + 11 which equals 26.

Answer:2.561,664¢ or roughly 25.61$.

Step-by-step explanation:

So, the air conditioner will cost 3.5 * 9.53 ¢ = 30.496 ¢ per hour running.

That means 30.496¢ * 12 = 365.952¢ or ≈3.65$ for a day.

Or 365.95¢ * 7 = 2.561,664¢ or ≈25.61$ for a week.

I'm vietanh and have fun studying!

Step-by-step explanation:

In box, write 170.

Hope it helps.

Step-by-step explanation:

Hypotneuse²=Base²+Height²

C²=11²+7²

C²=121+49

C²= 170

C=√170

C=13.08

Answer: Choice C.  f(x) and g(x) have a common x intercept.

Explanation:

The graph of f(x) shows it has an x intercept at x = 2, since this is one location where the curve crosses the x axis.

The g(x) table shows that x = 2 and y = 0 pair up together. This is the location (2,0). This location is the exact same x intercept as described earlier.

This is the common x intercept the two functions share. This means the two functions cross or intersect at this location.

Answer:

answer is 2

Step-by-step explanation:

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[tex]\\ \rm\longmapsto a^3-a+b^3-b[/tex]

[tex]\\ \rm\longmapsto a(a^2-1)+b^3-b[/tex].

Take out b common

[tex]\\ \rm\longmapsto a(a^2-1)+b(b^2-1)[/tex]

[tex]\\ \rm\longmapsto (a+b)(a^2-1)(b^2-1)[/tex]

Step-by-step explanation:

a^3-a+b^3-b = a³+b³-a-b

= a³+b³ - (a+b)

= (a+b)(a²-ab+b²) - (a+b)

= (a+b) (a²-ab+b²-1)

Answer:

hope this helps you

have a great day

Answer:

-6

Step-by-step explanation:

(/) is divide right?

[tex]( - 5 + 20) \div 5( - 2)[/tex]

[tex] - 5 + 20 = 20 - 5 = 15[/tex]

[tex]15 \div 5 \times ( - 2)[/tex]

[tex] - (15 \div 5 \times 2) = - (30 \div 5) [/tex]

[tex] = - 6[/tex]

The area of triangle will be 12x and perimeter of triangle will be 5x + 14.

The sides of a triangle which is divided into two parts i.e., a right angle triangle and a non-right angle triangle is given in figure.

We have to find area and perimeter of triangle using the data given.

What are the area and perimeter of a triangle ?

The area of triangle is A = [tex]\frac{1}{2}[/tex] × b × h and perimeter is sum of all sides i.e.,  P = a + b + c.

As per the fig. given in question ;

h = 3x

b = 8

The area of the given triangle will be ;

A = [tex]\frac{1}{2}[/tex] × b × h

A =  [tex]\frac{1}{2}[/tex] × 8 × 3x

A = 24x ÷ 2

A = 12x

The perimeter of triangle will be sum of all sides i.e.,

P = x + 9 + 4x - 3 + 8

P = 5x + 17 - 3

P = 5x + 14

Thus , the area of triangle will be 12x and perimeter of triangle will be 5x + 14.

To learn more about area and perimeter of triangle click here ;

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Answer:

-10

Step-by-step explanation:

the answer to the question is-10

Answer:

If it's addition then the answer is

-10

Answer:

h(2) or h(g(4)) = -28

Step-by-step explanation:

g(t) = t - 2,

g(4) = 4 - 2,

g(4) = 2

h(t) = -3t³ - 2t,

h(2) = -3(2)³ - 2(2),

h(2) = -24 - 4,

h(2) or h(g(4)) = -28

Step-by-step explanation:

1. ∠SPQ

2. ∠b and ∠c both are supplementary of ∠a

3. ∠BFG

4. ∠GFH

5. ∠ECB

6. ∠DCB

7. (i) ∠ABX and ∠BCZ

(ii) ∠DCZ and ∠CBX

(iii) ∠ABW and ∠BCY

(iv) ∠DCY and ∠CBW

Answer:

the equation you would use: y = 30x + 50

(x= months)

(y= cost)

then you would plug in the cost, 260, for y to get

260 = 30x + 50 --> 7 months

Step-by-step explanation:

I got the equation from the slope intercept form y = mx +b.

The 30 is the m, or slope, because you end up paying the same amount every month. The b value would be the 50 that he initially pays because that never changes.

Since you're given the y-value of 260, you just plug it in to your new equation of y = 30x + 50 to solve for x.

when solving the equation with the plugged in numbers, (260 = 30x + 50) first subtract 50 from both sides to get 210 = 30x,

then divide by 30 on both sides (to keep the equations equal to each other and find x) --> you should get 7

Therefore, Paul has been at the gym seven months if he has paid $260.

In geometry, transformations are used to move a point or points from one position to another. The notation that describes how the blue function is transformed into the red function is -f(x)

I have attached the graph of both functions.

From the attached graph, we can see that the blue function is reflected over the x-axis to produce the red function.

Let:

[tex]f(x) \to[/tex] Blue

[tex]g(x) \to[/tex] Red

The transformation of reflection across the x-axis is:

[tex]g(x) = -f(x)[/tex]

Hence, the notation that describes how the blue function is transformed into the red function is -f(x)

Read more about function transformation at:

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Answer:

a=15

Step-by-step explanation:

5(a−1)−15=3(a+2)+4

Use the distributive property to multiply 5 by a−1.

5a−5−15=3(a+2)+4

Subtract 15 from −5 to get −20.

5a−20=3(a+2)+4

Use the distributive property to multiply 3 by a+2.

5a−20=3a+6+4

Add 6 and 4 to get 10.

5a−20=3a+10

Subtract 3a from both sides.

5a−20−3a=10

Combine 5a and −3a to get 2a.

2a−20=10

Add 20 to both sides.

2a=10+20

Add 10 and 20 to get 30.

2a=30

Divide both sides by 2.

a=230

Divide 30 by 2 to get 15.

a=15

Answer:

0.75

Step-by-step explanation:

since it's a fraction you can divide

3 divided by 4 is 0.75

Answer:

3 1/3 ÷ 4/5 = 25/6 =4 1/6

Result in decimals: 4.1666666666667

Answer:

The answer is 5/4

For the first expression, 3 multiplies 3 plus 1 divided by the denominator 3

= 3×3 +1÷3

=10/3

then with the second expression, the division sign changes to a multiplication sign . Immediately it changes,4/5 turns to become 5/4

so now it will be

10/3×5/4

=15/12

=5/4

Tenemos un problema sobre energía potencial gravitatoria.

Econtraremos la expresión general: U = M*h*(H - h')

Lamentablemente no tenemos ninguna información sobre este problema, por lo que tendre que utilizar una expresión general. Sabemos que la energía potencial de un objeto de masa M que está a una altura H sobre el suelo, está dada por: U = M*g*H

Donde g es la aceleración gravitatoria; g = 9.8m/s^2

Si en lugar de querer definir la energia potencial con respecto al suelo, la queremos definir con respecto a otra cosa, entonces debemos conocer la altura de esa cosa con respecto al suelo. Por ejemplo, si en este caso el techo está a una altura h' del suelo, entonces la energía potencial gravitatoria con respecto al techo será: U = M*h*(H - h')

Algo muy interesante que podemos ver en la ecuación de arriba, es que si: h' ≥ H, entonces tendremos una energía potencial negativa, lo cual tiene sentido, pues deberemos agregar energía a la lampara si queremos que esta tenga un potencial igual a cero (lo que seria equivalente a tener la lampara en el techo)

Si quieres aprender más, puedes leer:

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Answer: 100,000

Step-by-step explanation: 1,000,000 divided by 10.

Answer:

9 + y < 21

Step-by-step explanation: