All categories

3 years ago

Each leg of a 45°-45°-90° triangle measures 12 cm what is the hypoyenuse

1 answer:

5 0

To find the hypotenuse in a 45-45-90 triangle multiply the legs by $\sqrt{2}$
So...
The leg is 12 the hypotenuse is 12 $\sqrt{12}$

You might be interested in

PLS HELP PLS HELP PLSSSS

serious [3.7K]

Answer:

find the bottom angle of the triangle on the right side.

180 - 92 = 88

Now find x

88+36 = 124

180-124 = 56 = x

Hope that answers your question

Don't hesitate to comment if you are confused about something

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A: -4 B: -16 C: 15 D: -5

baherus [9]

The answer here is B. -16

10 + -16 equals -6 and a negative divided by a negative is a positive so -6 divided by -3 is -2.

Hope this helps!

4 0

3 years ago

EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

3 years ago

Question 1: Describe in words the region of double-struck R3 represented by the equation: x2 + z2 ≤ 36.

Ganezh [65]

Step-by-step explanation:

1) i will asume x2 and z2 are squares here.

ok, here we only have restrictions to x and z, so y can take all the values in R.

$x^{2} + z^{2} \leq 36$ is a circle of radius 6, you can see this if for example we set z = 0, then x goes from -6 to 6, the same if we set x = 0 then z goes from -6 to 6.

and the equation $x^{2} + z^{2} \\$ describes a circle.

So here, the region is the solid cylinder of radius 6, where the Y axis is also the axis of the cylinder.

2) you tipped the same inequality but different numbers in the right side, here i think you are saying that the inequalities describes the set of all points whose distance from the y-axis is equal or less tan 6.

7 0

3 years ago

The rate is $19 for the first five lines, and $7.75 for each additional line. how much is to post a 8 line ad

o-na [289]

Answer:

41.5

Step-by-step explanation:

So you see the first five lines are for 19 dollars.

Multiply 7.75 by 3 since there are 3 additional lines. (Answer: 23.25)

Add 19 and 23.25 together. (Answer: 42.25)

My calculator work will be posted below for reference.

Unit Name: Two-Step Equations

<h2>If you need any more help or explanation, follow up in the comments below! :P</h2>

6 0

3 years ago