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3 years ago

In triangle PQR find the measure of angle P if PQ is 57.6 and QR is 33.8

1 answer:

8 0

To solve for angle P, simply make use of the tangent trig ratio.

Tan P = 33.8/57.6
Tan P = 0.58680
P = tan^-1(0.58680)
<span>P = 30.4 degrees. </span>

<span>The solution to your question would be the first option.</span>

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Solve. 4x−y−2z=−8 −2x+4z=−4 x+2y=6 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=

ladessa [460]

Answer:

(-2, 4, -2)

x=-2, y=4, z=-2.

Step-by-step explanation:

So we have the three equations:

$4x-y-2z=-8\\-2x+4z=-4\\x+2y=6$

And we want to find the value of each variable.

To solve this system, first look at it and consider what you should try to do.

So we can see that the second and third equations both have an x.

Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all xs.

Therefore, let's first isolate the variable in the second and third equation.

Second Equation:

$-2x+4z=-4$

First, divide everything by -2 to simplify things:

$x-2z=2$

Subtract x from both sides. The xs on the left cancel:

$(x-2z)-x=2-x\\-2z=2-x$

Now, divide everything by -2 to isolate the z:

$z=-\frac{2-x}{2}$

So we've isolated the z variable. Now, do the same to the y variable in the third equation:

$x+2y=6$

Subtract x from both sides:

$2y=6-x$

Divide both sides by 2:

$y=\frac{6-x}{2}$

Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:

$4x-y-2z=-8\\4x-(\frac{6-x}{2})-2(-\frac{2-x}{2})=-8$

Distribute the third term. The -2s cancel out:

$4x-(\frac{6-x}{2})+(2-x)=-8$

Since there is still a fraction, multiply everything by 2 to remove it:

$2(4x-(\frac{6-x}{2})+(2-x))=2(-8)$

Distribute:

$8x-(6-x)+2(2-x)=-16\\8x-6+x+4-2x=-16$

Combine like terms:

$8x+x-2x-6+4=-16\\7x-2=-16$

Add 2 to both sides:

$7x=-14$

Divide both sides by 7:

$(7x)/7=(-14)/7\\x=-2$

Therefore, x is -2.

Now, plug this back into the second and third simplified equations to get the other values.

Second equation:

$z=-\frac{2-x}{2}\\ z=-\frac{2-(-2)}{2}\\z=-\frac{4}{2}\\z=-2$

Third equation:

$y=\frac{6-x}{2}\\y=\frac{6-(-2)}{2}\\y=\frac{8}{2}\\y=4$

Therefore, the solution is (-2, 4, -2)

3 0

3 years ago

Read 2 more answers

Which function is graphed below?

maxonik [38]

I’m not entirely sure, but try Desmos or Symbolab calculators :)

4 0

3 years ago

Read 2 more answers

A family’s lunch bill is $10.19 before tax and tip. Using the percents shown for sales tax and gratuity, how much money should t

svp [43]

Answer:

The answer is 12.36

Step-by-step explanation:

I just did the assignment and guessed and got them wrong and it said this is the right answer so yeah.

You're welcome!! :D

7 0

3 years ago

Read 2 more answers

Find the volume of the solid under the surface z = 5x + 9y 2 and above the region bounded by x = y 2 and x = y 3.

Yanka [14]

Call the region in the $x$ - $y$ plane, bounded by $x=y^2$ and $x=y^3$ , $\mathcal D$ . Then the volume under the given surface is

$\displaystyle\iint_{\mathcal D}(5x+9y)\,\mathrm dA=\int_{y=0}^{y=1}\int_{x=y^3}^{x=y^2}(5x+9y)\,\mathrm dx\,\mathrm dy=\frac{83}{140}$

8 0

3 years ago

Justice hopes to build a fence around his garden he measures and determined that he needs 24 feet of fencing when he arrives at

Sunny_sXe [5.5K]

Answer:

It will cost $72 Justice to fence in his garden.

Step-by-step explanation:

Total length of the fencing around the garden = 24 feet

Cost of fencing per inch = $0.25

Now, as we know 1 foot = 12 inches

⇒ 24 feet = 24 x 12 inch = 288 inches

⇒ 24 feet = 288 inches

Hence, the total length of fencing = 288 inches.

Now, Total cost of Fencing

=Total length of fencing x Cost of fencing par inch

= 288 inches x ($0.25)

= $ 72

or, the total cost of fencing = $72

Hence, it will cost $72 Justice to fence in his garden.

7 0

3 years ago