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2 years ago

Justify whether the solution makes sense.

Mathematics

2 answers:

frutty [35]2 years ago

8 0

✎ let's answer it 

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it's ↓

( identical triangle)

<h3> by </h3><h2>#galadohannadivine29</h2>

Zigmanuir [339]2 years ago

5 0

Answer:

They are identical triangles.

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

The triangle with 39 and 90 has a missing angle of 51 degrees, and the triangle with 51 and 90 vice versa.

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A right triangle has legs that are 21 in. and 25 in. long. What is the area of the triangle?

vfiekz [6]

Answer:

The area of the right triangle is 262.5

Step-by-step explanation:

6 0

3 years ago

A rancher wishes to build a fence to enclose a 2250 square yard rectangular field. Along one side the fence is to be made of hea

Bess [88]

Answer:

The least cost of fencing for the rancher is $1200

Step-by-step explanation:

Let x be the width and y the length of the rectangular field.

Let C the total cost of the rectangular field.

The side made of heavy duty material of length of x costs 16 dollars a yard. The three sides not made of heavy duty material cost $4 per yard, their side lengths are x, y, y. Thus

$C=4x+4y+4y+16x\\C=20x+8y$

We know that the total area of rectangular field should be 2250 square yards,

$x\cdot y=2250$

We can say that $y=\frac{2250}{x}$

Substituting into the total cost of the rectangular field, we get

$C=20x+8(\frac{2250}{x})\\\\C=20x+\frac{18000}{x}$

We have to figure out where the function is increasing and decreasing. Differentiating,

$\frac{d}{dx}C=\frac{d}{dx}\left(20x+\frac{18000}{x}\right)\\\\C'=20-\frac{18000}{x^2}$

Next, we find the critical points of the derivative

$20-\frac{18000}{x^2}=0\\\\20x^2-\frac{18000}{x^2}x^2=0\cdot \:x^2\\\\20x^2-18000=0\\\\20x^2-18000+18000=0+18000\\\\20x^2=18000\\\\\frac{20x^2}{20}=\frac{18000}{20}\\\\x^2=900\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{900},\:x=-\sqrt{900}\\\\x=30,\:x=-30$

Because the length is always positive the only point we take is $x=30$ . We thus test the intervals $(0, 30)$ and $(30, \infty)$

$C'(20)=20-\frac{18000}{20^2} = -25 < 0\\\\C'(40)= 20-\frac{18000}{20^2} = 8.75 >0$

we see that total cost function is decreasing on $(0, 30)$ and increasing on $(30, \infty)$ . Therefore, the minimum is attained at $x=30$ , so the minimal cost is

$C(30)=20(30)+\frac{18000}{30}\\C(30)=1200$

The least cost of fencing for the rancher is $1200

Here’s the diagram:

3 0

3 years ago

Paul graphs the equation y = 2x where does the graph intersect the y axis

MakcuM [25]

Answer:

(0,0)

Step-by-step explanation:

Y = 2x is a proportional relationship because it follows the form y = kx, where k = constant of proportionality. Proportional relationships intersect the y-axis at (0,0), thus having a y-intercept of 0, but we usually don't write the 0.

Given the information above, y = 2x intersects the y-axis at (0,0), the origin.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0

2 years ago

I need help with both questions.

Licemer1 [7]

Answer:

yeah, (891)+(038)=(193994)

$$$$$$$$$$$$$$$$$$$$$$$

I'll help anytime you need

7 0

3 years ago

28 (A.3A) Determine the slope of the line that

Dvinal [7]

The slope would be -5, I will explain if you would like me to

8 0

3 years ago

Read 2 more answers