Express the trig ratios as fractions in simplest terms.

Answer:

(x - 3)² + (y - 5)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given (h, k ) = (3, 5 ) we require to find r

r is the distance from the centre to a point on the circle

given x = - 1 is a tangent the r is the distance between the x- coordinates

r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4

then equation of circle is

(x - 3)² + (y - 5)² = 4² , that is

(x - 3)² + (y - 5)² = 16

Answer:

[tex]\bf A)\;17[/tex]

Step-by-step explanation:

[tex]\tt 5q-10=75[/tex]

[tex]\tt 5q-10+10=75+10\;\; \bf\; Add\;10\:to\:both\:sides[/tex]

[tex]\tt 5q=85\;\;\;\bf Simplify[/tex]

[tex]\tt \cfrac{5q}{5}=\cfrac{85}{5}\;\;\; \bf Divide\:both\:sides\:by\:5[/tex]

[tex]\tt q=17\;\; \;\bf Answer[/tex]

------ " ☆ "

Rewrite as ;

[tex]{:\implies \quad \sf (80+9)+(80+16)}[/tex]

[tex]{:\implies \quad \sf (80+80)+(9+16)}[/tex]

[tex]{:\implies \quad \sf 2(80)+(25)}[/tex]

[tex]{:\implies \quad \sf 160+25}[/tex]

[tex]{:\implies \quad \boxed{\bf 185}}[/tex]

Answer:

what are the answers for a b c and d

27ﾟC

Given the temperatures, 9ﾟC, -3ﾟC, 22ﾟC, -5ﾟC, 11ﾟC, 15ﾟC, the range difference between the highest temperature and lowest temperature is 27ﾟC.

22ﾟC - (-5ﾟC) = 27ﾟC

Answer:

C

Step-by-step explanation:

[tex].45s = 126[/tex]

[tex]s = 280[/tex]

= 65% x 120 = 78 pounds of iron

Answer:

78

Step-by-step explanation:

65% of 120 = 78

Answer:

hello, i am not sure. but the answer is between a and c

Step-by-step explanation:

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

Answer:

the answer is 2.5%

Step-by-step explanation:

im good at math

Hope this helps!

Answer:

the answer to the graph is y=-4x-3

Answer:

y = -4x - 3

Step-by-step explanation:

The given line has :-

Substituting in slope-intercept form

Answer:

18h × 6g is equivalent to 6(3h + g)

because 6 x 3 = 18 and 6 x 1 = 6

The depreciation of the car is $12,600.

The cost of the car per mile is $0.28

Depreciation is the decline in the value of an asset as a result of wear and tear.

Depreciation = cost of the asset - value of the asset now

$24,890 - $12,290 = $12600

Cost per mile = total cost / total mile

($2,805.60  + $1,870.40) / 16700 = $0.28

To learn more about depreciation, please check: https://brainly.com/question/25552427

TSA:-

Answer:

Step-by-step explanation:

Agree. All radii of a circle are the same length, so any triangle drawn from the center of a circle to points on the circle will be an isosceles triangle. By definition, all interior angles and all side lengths of a regular polygon are congruent. So, an n-sided regular polygon inscribed in a circle can be divided into n non-overlapping congruent isosceles triangles. That means the central angle is 360°/n, a value found based on the rotational symmetry of the figure.

__

Agree. See the explanation in part (a). A regular hexagon has six congruent sides. Each of those can form the base of an isosceles triangle. Hence, the hexagon can be decomposed into 6 congruent isosceles triangles.

__

Agree. The altitude divides each of the isosceles triangles of parts (a) and (b) into two congruent right triangles. The length of the altitude can be found as the product of the radius of the circle and the cosine of half the central angle of the isosceles triangle. That is, trigonometry can be used to find the altitude.

The altitude (apothem of the polygon) is ...

  a = r·cos(180°/n)

_____

Additional comment

A "correct" explanation is one that makes sense to you and your grader. The explanation you read here may not be "correct" in that sense. YMMV

Answer:

y = 3x + 9

Step-by-step explanation:

y = mx + b

As the values of x increase by 1, the values of y increase by 3.

That means the slope, m, is 3.

m = 3

At x = 0, y = 9. That means the y-intercept, b, is 9.

b = 9

y = mx + b

y = 3x + 9

Answer:

8x+3y=-6

Step-by-step explanation:

Answer:

D. 288π

Step-by-step explanation:

Volume = [tex]\frac{4}{3}[/tex]π[tex]r^3[/tex]

A = π [tex]\frac{4}{3} (6)^3[/tex]

A = π [tex]\frac{4}{3} (216)[/tex]

A = 288π

I hope this helps!

Answer:

Step-by-step explanation:

the answer is c (x=15)...

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[tex]\\ \large \rm{↠Given \: triangle \: is \: right \: angled \: triangle .}[/tex][tex]\\\rm{Pythagorean \: Theorem \: states \: that} \\ \\ \large \rm{↠Hypotenuse = \sqrt {Altitude^{2} + Base ^{2} } } [/tex]

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

Here,

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

[tex]\rm{↠Substituting \: values }[/tex]

[tex] \large\rm{↠AC= \sqrt {AB^{2} + BC ^{2} } } \\ \\ \large\rm{↠x = \sqrt{12 ^{2} + 9 ^{2} } } \\ \\ \large\rm{↠x = \sqrt{144 + 81} } \\ \\ \large\rm{↠x = \sqrt{225} } \\ \\ \large\rm{↠x =15 }[/tex]

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[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

The main idea of the essay is her migration process to the United States and their interaction with Americans.

Julia Alvarez's essay "names" refers to her and her family's migration process from her country of origin to the United States.

Once living in the United States, Julia identifies that American citizens do not know how to pronounce their names correctly due to the language difference between the two societies.

This problem is reinforced by these arguments:

Learn more about essays in: https://brainly.com/question/1556386

Answer:

x is greater than 8

Step-by-step explanation:

Answer:

43.78

Step-by-step explanation:

In this case, the formula for mean can be as followed:

[tex]mean = \frac{sum \: of \: all \: student \: scores}{number \: of \: students} [/tex]

Let the sum of all student scores for class A and class B be A and B respectfully,

For Class A,

A/28 = 34

A/28 = 34A = 952

For Class B,

B/8 = 78

B/8 = 78B = 624

Now to find the mean score of both classes using the same formula,

Mean = (952+624)/(28+8)

= 43.77777777777778

≈ 43.78

Answer:

Divide 10 by 25 then multiply by 4 to get 40 / 100 which gives you the percentage: 40%

Answer:  3a - 2b + 3

Step-by-step explanation:

(3a + 2b - 7) - (4b - 10)

open the bracket

3a + 2b - 7 - 4b + 10

combine like terms

3a + 2b - 4b - 7 + 10

3a - 2b + 3

Answer:

7 units

Step-by-step explanation:

(Background info, skip if not interested or needed for you)

The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.

[tex]a^2 + b^2 = c^2[/tex]

a and b being sides of a right triangle, c being the hypotenuse.

When we are solving for distance we are solving for c essentially.

[tex]c[/tex] = [tex]\sqrt{a^2 + b^2}[/tex]

Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.

(solutions)

So essentially distance is:

[tex]d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }[/tex]

Now we just use the values given to us, and sub in the x and y values respectively.

(-2,4) [tex]x_1 = -2, y_1 = 4[/tex]

(5,4)[tex]x_2 = 5, y_2 = 4[/tex]

plug these values in:

[tex]d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 } = \sqrt{7^2 } = 7[/tex]

Therefore the distance is 7 units.

Answer:

[tex]\mathsf{y < \dfrac47x-4}[/tex]

Step-by-step explanation:

First, find the equation of the line.

Slope-intercept form of a linear equation:  [tex]\mathsf{y=mx+b}[/tex]

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, -4)

Therefore, b = -4

Choose another point on the line, e.g. (7, 0)

Now use the slope formula to find the slope:

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

where:

[tex]\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}[/tex]

Therefore, the equation of the line is:

[tex]\mathsf{y=\dfrac47x-4}[/tex]

For an inequality, the dashed line means < or >  (whereas a solid line means ≤ or ≥)

As the shading is below the line, we need to use <

Therefore, the final inequality is:

[tex]\mathsf{y < \dfrac47x-4}[/tex]

Answer:

-0

Step-by-step explanation:

In the Screenshot...….

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!