I am on my trigonometry unit in math and don’t know what to do for this. I also really need work shown!

Answer:

center = (-8, 7)

radius = 8 units

Step-by-step explanation:

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Rewrite the given equation:

[tex]x^2+y^2+16x-14y+49=0[/tex]

[tex]\implies x^2+16x+y^2-14y+49=0[/tex]

[tex]\implies (x+8)^2-64+(y-7)^2-49+49=0[/tex]

[tex]\implies (x+8)^2+(y-7)^2=64[/tex]

Therefore:

Answer:

The circle is centered at (8,0)

The circle has a radius of 10 units.

Step-by-step explanation:

trust

Use language that's easy-to-understand. If there's a piece of vocabulary that you feel needs clarifying, define it!   23

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It cannot be D and A and B are the same

Answer:

90 degrees around the origin

Step-by-step explanation:

When you rotate the first time it is 90 degrees

When you rotate two times it is 180 degrees

When you rotate three times it is 270 degrees

Hope it helps:)

Answer:

f(x) = 2(x+3)+2

Step-by-step explanation:

Answer:

4 1/2 = 9/2 

Dividing 9/2 by 3/8,

9/2 x 8/3 = 72/6 = 12

Therefore, Keisha made 12 individual servings.

Answer:

Owen should wear thick, layered clothing thats will keep him warm

Example:Jackets,sweaters,heavy socks, gloves, benies, Balaclavas...ect

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Heavier Clothes, Since, The higher elevation will have cooler tem

Answer:

1st,15

2nd, 40

3rd, 36

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

Let us write the equation of the given line in standard form:

[tex]6 x-3 y=5 \quad \Rightarrow \quad y=2 x-\frac{5}{3}[/tex]

A. The line moves away from the origin by a scale factor of 6, but its inclination still remains the same. Therefore, after any dilation, the slope of that line never changes.

Thus, the slope of the given line after dilation will be the same as the original slope, which is m = 2.

B. The x-intercept of the line before dilation will be given by substituting x = 0 in the given equation as shown below:

[tex]y=2(0)-\frac{5}{3}=-\frac{5}{3}[/tex]

Now, the y-intercept of the line after the dilation will be given by:

[tex]6\left(-\frac{5}{3}\right)=-10[/tex]

Answer:

ok, i think this would be.....a.

Step-by-step explanation: so i know 7x4=28  so 7*4=a    makes sense  cause a = 28

have a nice day

Answer:

Answer:

47

Step-by-step explanation:

a)

a^2 + b^2 = c^2

33^2+33^2=c^2

2178=c^2

c=(nearest is 47)

b)

If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse.  sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.

Step-by-step explanation:

Answer:

[tex](x,y) = (4,1)[/tex]

Step-by-step explanation:

[tex]-4+5\cdot 1 = 5-4 =1[/tex]

Answer:

(2, 3/5)

Step-by-step explanation:

Step 1. Rewrite as slope-intercept form, y = mx + b (OPTIONAL)

-x + 5y = 1

5y = x + 1

y = 1/5x + 1/5

Step 2. Pick an x value, then sub for y

x = 2

y = 1/5(2) + 1/5

y = 2/5 + 1/5

y = 3/5

Ordered pair: (2, 3/5)

God bless!

Answer: a. 24:600

b. 53

Step-by-step explanation:

First simplify:

24:600

6:150

2:30

1:15

Answer:

#20 is -20

#21 is -3

#22 is 36

Answer:

11.6

Step-by-step explanation:

11.64 without rounding. since the 2nd decimal is below 5, we round down to 0. 11.60, or just 11.6 :) hope this helps!

Answer:

Groceries R Us

Step-by-step explanation:

i dont know how to explain lol

Answer:

The architect will need to inspect 185,772 square feet.

Step-by-step explanation:

The square feet the architect must inspect represents the lateral surface area of the square pyramid. Since the base of the pyramid is a regular polygon, a square, then the given formula can be used. Let P be the perimeter of the base and l be the slant height of 274 feet.

Find the perimeter of the base by multiplying the length of a side, 339 feet, by the number of sides of the base, 4.

So, the architect will need to inspect 185,772 square feet of the pyram

The total of 109327.5 feet² of the square area the architect needs to inspect.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right angle triangle, equilateral triangle, and much more.

A pyramid consists of 3 equal triangles given that the vertical height of a triangle is 215 feet, and the base is 339 feet.

Area of one triangle =  (1/2) × base × height.

⇒ (1/2)  × 339 × 215

⇒ 36442.5

Since in a pyramid, there are a total 3 triangles so

Total surface area = 3 × surface area of 1 triangle.

Total surface area = 3 × 36442.5 = 109327.5 hence correct answer will be 36442.5.

For more about triangles,

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Answer:

P = 9x + 22

Step-by-step explanation:

Perimeter = sum of all sides

P = (3x + 11) + (3x + 11) + (3x)

P = 9x + 22

I hope this helps! God bless

Answer:

  (d)  Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.

Step-by-step explanation:

Apparently function f is defined by the ordered pairs (8, 6), (10, 9), (12, 3).

The inverse function will be defined by the ordered pairs with the input and output reversed:

  (6, 8), (10, 9), (3, 12)

This seems to be described by the last answer choice.

Answer:

13. 360 14. 1080 15. x=53 16. x=135

Step-by-step explanation:

Equation: (n-2)*180

For 13. all angles in a a quadrilateral add up to 360

For 14. 8 sides-2=6. 180*6=1080 degrees

For 15. 15+155+137=307. 360-307=53. x=53 degrees

For 16. 6 sides-2=4. 4*180=720. 90*2=180. 720-180=540. 540/4=135.

x=135

Answer:

70%

Step-by-step explanation:

Our sense of smell is responsible for 70% of our overall chocolate tasting experience.

Answer:

95°, 110°

Step-by-step explanation:

Since we're dealing with a cyclic quadrilateral ,

m<T + m<R 180°

7y + 11y = 180°

18y = 180°

y = 10°

Also,

m<S + m<U = 180°

3x+5+3x-5= 180°

6x = 180°

x = 30°

m<S = 3x+5 = 3(30)+5

= 95°

m<R = 11y = 11(10)

= 110°

Given -

To find -

(nullifying x and y)

Explanation -

As we know this is a cyclic quadrilateral and it's either pair of the opposite angles sum up to 180°.

Therefore,

m∠S + m∠U = 180° ---(1)

m∠R + m∠T = 180° ---(2)

Solution -

Substituting the values of the measure of angles in (1)

➜ m∠S + m∠U = 180°

➜ (3x + 5)° + (3x - 5)° = 180°

➜ 6x = 180°

➜ x = 180/6

➜ x = 30

Therefore, m∠S = (3x + 5)° = {3(30)+5}° = (90+5)°

m∠S = 95°

Substituting the values of the measure of angles in (2)

➜ m∠R + m∠T = 180°

➜ (11y)° + (7y)° = 180°

➜ 18y = 180°

➜ y = 180/18

➜ y = 10

Therefore, m∠R = (11y)° = (11×10)° = 110°

Answer:

1. Rectangular Prism

2. Cylinder

3. Triangular Pyramid

4. Triangular Prism

5. Cone

6 Rectangular Pyramid

Answer:

B  x = 3, y= 3

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\implies \sin(45^{\circ})=\dfrac{x}{3\sqrt{2}}[/tex]

[tex]\implies x=3\sqrt{2}\sin(45^{\circ})[/tex]

[tex]\implies x=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3 \cdot 2}{2}=3[/tex]

[tex]\implies \cos(45^{\circ})=\dfrac{y}{3\sqrt{2}}[/tex]

[tex]\implies y=3\sqrt{2}\cos(45^{\circ})[/tex]

[tex]\implies y=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3 \cdot 2}{2}=3[/tex]

There are 50 seventh-grade students who can she predict riding the bus to school.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The unitary method is a method by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that first-period class, 10 out of 32 students ride the bus to school. There are 160 students in seventh grade.

Therefore, we have;

160/32=5

10 x 5 =50

Thus, the answer is 50

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The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y  

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

[tex]\mathbf{L = 3x - 2( \dfrac{1000000}{x})}[/tex]

[tex]\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}[/tex]

[tex]\mathbf{ x^2= \dfrac{2000000}{3} }[/tex]

[tex]\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }[/tex]

[tex]\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}[/tex]

Now, if we replace the value with equation (1), then y will be:

[tex]\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}[/tex]

[tex]\mathbf{x =500\sqrt{6}}[/tex]

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

[tex]\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}[/tex]

[tex]\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}[/tex]

[tex]\mathbf{L =2000 \sqrt{6} }[/tex]

[tex]\mathbf{L \simeq 4899 \ ft}[/tex]

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Answer:

B (0, 285 ) , C (380, 0 )

Step-by-step explanation:

the first step is to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )

m = [tex]\frac{-180-480}{620-(-260)}[/tex] = [tex]\frac{-660}{620+260}[/tex] = [tex]\frac{-660}{880}[/tex] = - [tex]\frac{66}{88}[/tex] = - 0.75 , then

y = - 0.75x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equatio

using (620, - 180 ) , then

- 180 = - 465 + c ⇒ c = - 180 + 465 = 285

So y- intercept is B (0, 285 )

y = - 0.75x + 285 ← equation of line

to find the x- intercept , let y = 0 in the equation and solve for x

0 = - 0.75 + 285 ( subtract 285 from both sides )

- 285 = - 0.75x ( divide both sides by - 0.75 )

380 = x

x- intercept is C (380, 0 )

Difference:

x values

260 + 620 = 880

y values

480 + 180 = 660

Gradient = change in y/ change in x

Or

gradient = rise/run

= 660/880

= 3/4

= 0.75

We've got a negative slope - gradient must be negative

y = mx + c

y = - 0.75x + c

To find the y-intercept (c), which on the diagram is point B - you substitute one of the coordinates into the equation y = - 0.75x + c.

You use - point A or D - it don't matter which

I'll pick D - (620,−180)

y= -0.75x + c

-180 = - 0.75 x 620 + c

-180 = - 465 + c

+465

285= c

Thus, the equation is:

y = - 0.75x + 285

or

y = - 3/4x + 285

Where point B is (0,285) and C is (380,0)

To find:

B substitute x = 0 into the equation

(y= - 3/4 x 0 + 285)

C substitute y = 0 in the equation

0 = - 3/4x + 285

-285

- 285 = - 0.75x

÷ - 0.75

380 = x

( I converted 3/4 to 0.75 to make things clearer)

Hope this helps!

Answer:

  18 tala

Step-by-step explanation:

The exchange is proportional, so the number of tala Ming receives will be proportional to the number of dollars she exchanges.

  x / ($6) = 6 tala / ($2)

__

Multiplying by $6, we have ...

  x = (6 tala)($6/$2) = 18 tala

Ming would get 18 tala when exchanging $6.

Answer:

4x(3-2)

Step-by-step explanation:

since in 2 groups, there are number 4 in common

Apply Distributive Law to achieve this.

Answer:

(0, -4)

Step-by-step explanation:

The solution to the system is the point that is on both lines. It is where the lines intersect (cross). They intersect at the point (0, -4)