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3 years ago

4. The figure represents a ramp. Find the height of the ramp.

Mathematics

2 answers:

Paraphin [41]3 years ago

6 0

Answer:

the answer is the option D

$8\ m$

Step-by-step explanation:

we know that

The figure of the ramp represent a right triangle

Applying the Pythagoras Theorem

Let

h------> the height of the ramp

$17^{2}=15^{2}+h^{2}$

solve for h

$h^{2}=17^{2}-15^{2}$

$h^{2}=64$

$h=8\ m$

IgorLugansk [536]3 years ago

3 0

Notice that the triangle is a right triangle, because of the right angle. By the Pythagorean Theorem, $a^2+b^2=c^2$ . Then $15^2+b^2=17^2\implies 225+b^2=289\implies b^2=64\implies b=8$ , d. 8 m

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A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec

Paraphin [41]

Answer:

A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$

$x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i$

The solutions are:

$x=3i,\:x=-3i$

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor $x^2+9$ :

First, multiply the constant in the polynomial by $i^2$ where $i^2$ is equal to -1.

$x^2+9i^2$

Since both terms are perfect squares, factor using the difference of squares formula

$a^2-i^2=(a+i)(a-i)$

$x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)$

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3 years ago

Con las cuatro cartas que se muestran en la figura se pueden formar diferentes números. Por ejemplo: 8232 o 3822. ¿Cuántos númer

densk [106]

Answer:

Se pueden formar 9 números pares.

Step-by-step explanation:

Dado que con cuatro cartas se pueden formar diferentes números, como por ejemplo 8232 o 3822, para determinar cuántos números pares de cuatro dígitos y diferentes puedes formar con estas cuatro cartas se debe realizar la siguiente tabla:

8232 - 8322 - 8223 = 2 pares 1 impar

2832 - 2823 - 2382 - 2328 - 2283 - 2238 = 4 pares 2 impares

3822 - 3282 - 3228 = 3 pares

Por lo tanto, se pueden formar 9 números pares.

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3 years ago

the sum of the measures of the interior angles of the parallelogram is 360° write and solve an equation to find the value of the

AlekseyPX

Dividing the parallelogram in half and applying trigonometry is the easiest solution for me.

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3 years ago

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Amanda [17]

Answer:

Fibonacci Series has been explained and the general term and shortcut to find the corresponding term has been attached

Step-by-step explanation:

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But there is another method to find out the terms of the the Fibonacci series, which takes into account the value of φ. The formula for the following is as follows

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3 years ago

What is g(x)?<br> A. g(x) = -2<br> B. g(x) = -x<br> C. g(x) = -|x|<br> D. g(x) = -x^2

Nastasia [14]

Answer:

A. g(x) = -2^x.

Step-by-step explanation:

If g(x) = -2, it would be a straight line running horizontally.

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If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.

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Hope this helps!

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3 years ago

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