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3 years ago

PLEASE HELP, IGNORE ALL ANWSERS FILLED IN CURRENTLY I WILL GOVE BRAINLIST

Mathematics

1 answer:

dedylja [7]3 years ago

4 0

Answer:

32.64°

Step-by-step explanation:

From triangle Given :

The sides of the missing angle given are the Adjacent and hypotenus.

Since the triangle is right angled, we can apply trigonometry :

cosθ = adjacent / hypotenus

Cosθ = 16 / 19

θ = Cos^-1(16/19)

θ = 32.6368

θ = 32.64°

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What goes on top? For the 16 and 17 ?

san4es73 [151]

The answer to the question that needs to go on the top is 33

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4 years ago

Read 2 more answers

Solve the inequality −22 + 4q > 2

Mars2501 [29]

First you had to add by twenty-two from both sides of equation form.

$-22+4q+22>2+22$

Then simplify by equation.

$4q>24$

Next, you divide by four from both sides of equation form.

$\frac{4q}{4}> \frac{24}{4}$

Finally, simplify by equation.

$24/4=6$

$24/6=4$

$6*4=24$

$4*6=24$

$q>6$

Final answer: $\boxed{q>6}$

Hope this helps!

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3 years ago

13) Your parents give you a weekly allowance

Tamiku [17]

Answer:

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Step-by-step explanation:

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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

Two angles are complementary.The larger angle is 30 degrees more than 4 times the smaller

gregori [183]

Answer:

Step-by-step explanation:

Remark

2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.

Givens

Let the smallest angle = x

Let the largest angle = 4x + 30

Equation

4x + 30° + x = 90° Combine like terms on the left

Solution

5x + 30 = 90 Subtract 30 from both sides.

5x + 30 - 30 = 90 - 30 Combine

5x = 60 Divide both sides by 5

5x/5 = 60/5

x = 12

Answer

smallest angle = 12
Larger angle = 4*12 + 30 = 78

6 0

2 years ago