Consider an angle with a measure of θ=225∘.

Sketch a diagram representing the situation.

Determine the measure of the reference angle for this angle.
 _______°   

Now, determine the exact values of the following expressions. Your answers should include fractions and square roots, and not decimal values.

cos(θ)=

sin(θ)=

tan(θ)=

​

Answer:

25 liters of the 16% solution should be added.

Step-by-step explanation:

pure acid amount + pure acid amount = total pure acid amount

0.02*10          + 0.16*x           = 0.12*(10+x)     <<<---=== it is your balance equation;  x is the amount (in liters) of the 16% solution.

0.02*10 + 0.16x = 0.12*10 + 0.12*x

0.16*x - 0.12*x = 0.12*10 - 0.02*10

(0.16 - 0.12)*x = 0.12*10 - 0.02*10

x = %280.12%2A10-0.02%2A10%29%2F%280.16-0.12%29 = 25.

Answer.  25 liters of the 16% solution should be added.

Check.   %280.02%2A10+%2B+0.16%2A25%29%2F%2810+%2B+25%29 = 0.12 = 12% of concentration of the final mixture.   ! Correct !

Answer: -3x-5y

Step-by-step explanation:

Answer:There are 129 eighths in one pound of

Step-by-step explanation:

sorry est un site Web Internet spécialement conçue 4

Answer:

24+12=36you find the total length

Answer:

3 feet

Step-by-step explanation:

Answer:

B) 4x − 5y = 2

24x − 47y = 22

Answer:

6.25 ft

Step-by-step explanation:

The smaller flag width is 5. And the larger flag is not that big in size. So the close answer is 6.25

Answer:

6.25ft

Step-by-step explanation:

Answer:

it would be about 4500 bears

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think how you approach this depends on your knowledge of calculus.

If you don't know how to compute definite integrals yet, but you do know that they represent signed areas under curves, then you can plot both curves |x - 4| and √(36 - x ²), then recognize that the areas represented by these integrals are areas of geometric shapes. (See attached images)

First integral: if you plot |x - 4| on the interval [3, 6], you'll see that the integral corresponds to the area of two triangles. One of them has base = height = 1, and the other has base = height = 2. Then

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac12\times1\times1+\frac12\times2\times2=\frac52[/tex]

Second integral: if [tex]y=\sqrt{36-x^2}[/tex], then [tex]x^2+y^2=6^2[/tex], meaning this curve is the upper half of a circle with radius 6. On the interval [-6, 0], the area amounts to 1/4 of the total area of such a circle, so that

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\frac{\pi\times6^2}4=9\pi[/tex]

* * *

If you already know a few things about calculus and integration, you can compute these areas directly.

First integral:

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\int_3^4(4-x)\,\mathrm dx+\int_4^6(x-4)\,\mathrm dx[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(4x-\frac{x^2}2\right)\bigg|_{x=3}^{x=4}+\left(\frac{x^2}2-4x\right)\bigg|_{x=4}^{x=6}[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(\left(4\times4-\frac{4^2}2\right)-\left(4\times3-\frac{3^2}2\right)\right)+\left(\left(\frac{6^2}2-4\times6\right)-\left(\frac{4^2}2-4\times4\right)\right)[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac52[/tex]

Second integral:

Substitute x = 6 sin(t ) and dx = 6 cos(t ) dt, then

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\int_{-\frac\pi2}^0\sqrt{6^2-(6\sin(t))^2} (6\cos(t))\,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{1-\sin^2(t)} \,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{\cos^2(t)} \,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) |\cos(t)| \,\mathrm dt[/tex]

For t ∈ [-π/2, 0], cos(t ) > 0, so |cos(t )| = cos(t ) :

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos^2(t)\,\mathrm dt[/tex]

Recall the half-angle identity,

cos²(t ) = (1 + cos(2t )) / 2

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\int_{-\frac\pi2}^0(1+\cos(2t))\,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(t+\frac{\sin(2t)}2\right)\bigg|_{t=-\frac\pi2}^{t=0}[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(\left(0+\frac{\sin(2\times0)}2\right)-\left(-\frac\pi2+\frac{\sin\left(2\times\left(-\frac\pi2\right)\right)}2\right)\right)[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=9\pi[/tex]

Answer: x=2

Isolate the variable by dividing each side by the factors that don't contain variables.

Answer:

200+60+4

Step-by-step explanation:

200+60+4=264

Answer:

Negative

Step-by-step explanation:

The following expression will be negative. This is because, the fraction in x is a negative fraction. The fraction in y is a positive fraction. The expression is    x * y, so if you were to multiply the two it would be negative. This is because a negative multiplied by a positive will be equal to a negative.

Hope this helps!!

-Ketifa

(Can I get brainliest?)

Answer:

Step-by-step explanation:

Did u find it? Because I can’t figure it out euther

Answer: x > 2/3

Step-by-step explanation:

-1 - x/2 < x

Simplify:

-1/2x + 1 < x

Subtract x from both sides:

-1/2x + 1 - x < x - x

-3/2x + 1 < 0

Subtract 1 from both sides:

-3/2x + 1 - 1 < 0 - 1

-3/2x < -1

Multiply both sides by 2/(-3):

2/(-3) (-3/2) < 2/(-3) (-1)

x > 2/3

Answer:

702

Step-by-step explanation:

because 74 x 9 = 666 and 702 is close

Answer:

A

Step-by-step explanation:

Equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.

Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,

The equation of the circle =

(x - 3)² + (y - 7)² = 2

The standard equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

Comparing both we get,

(h, k) = (3, 7)

r² = 2

r = √2

Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

Learn more about circle, click;

https://brainly.com/question/29142813

#SPJ2

Answer:

1.     x=-10/3

2.    x=7/3

Step-by-step explanation:

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Answer:

[tex]10 + \frac{8}{u}[/tex]

Step-by-step explanation:

Given

10 [tex]plus[/tex] the  [tex]quotient[/tex]of 8 and u

Required

Represent as a mathematical expression

Square out the operators

10 [[tex]plus[/tex]] the  [[tex]quotient[/tex]] of 8 and u

[tex]plus => +[/tex]

[tex]quotient => /[/tex]

Replace the operators with their signs

[tex]10 + \frac{8}{u}[/tex]

Answer:

2(x - 3)

Step-by-step explanation:

3   x   2         6

--        --    =   --

5        3         15

6/15 can be simplified to 2/5.

---

hope it helps

Answer:

D!

Step-by-step explanation:

Desmos has a free graphing calculator for future references :)

The perimeter of qudrilateral ABCD, to the nearest tenth is: 14.6 units.

Perimeter of a quadrilateral = sum of all its four sides.

Given the qudrilateral with the vertices:

Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex] to find AB, BC, CD, and AD.

AB = √[(1−3)² + (3−5)²]

AB = √8 = 2.8 units

BC = √[(1−3)² + (3−(−1))²

BC = √20 = 4.5 units

CD = √20 = 4.5 units

AB = √8 = 2.8 units

Perimeter of qudrilateral ABCD = 2.8 + 4.5 + 4.5 + 2.8 = 14.6 units.

Learn more about the perimeter of a quadrilateral on:

https://brainly.com/question/9145366

Answer: 1,4,6

Step-by-step explanation:

https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/

30 combinations is the answer.

Step-by-step explanation:

Each meal comes with a choice of hamburgers, pizza, hot dogs , cheeseburgers or tacos means 5 options.

And a choice of root beer lemonade, milk , coffee, tea or cola means 6 options.

So, possible combination can be =  combinations.