More trig questions! Given that sin(C) = cos(B)Find the measure of ∠C if m∠C=10x+4 and the m∠B = 4x+2

Answer:

x=18 y=25

Step-by-step explanation:

1)2x18=36-12=24

2)3x25=75-15-60

I cannot really graph it but I will try my best to explain.

When you have a coordinate plane draw from right to left, up to down.

Now starting from righthand top corner, draw a smooth curve just like how you will draw a quadratic equation, through the x axis then curve back making the graph touch the axis at 2 points. That's the 2 real roots

Now make another curve down but this time not touching the x axis and then curving back up to the top left corner, this meant the 2 complex roots.

This is not the only way to do it, as long as one complete curve is not touching the x axis and another complete curve, weather as a whole or combined is touching the x axis at 2 points, it has 2 real and complex roots.

Answer:

B, C, E, and F

Step-by-step explanation:

Recall the acronym for trigonometric functions: SOHCAHTOA

Thus:

B = 180 - (48 + 90) = 42°

Let's find the trigonometric functions using 42° as the reference angle:

Opp = b

Hyp = c

Adj = a

Applying SOH:

Sin 42 = opp/hyp

✅Sin 42 = b/c (option C is correct)

Applying CAH:

Cos 42 = adj/hyp

✅Cos 42 = a/c (option A is incorrect)

Applying TOA:

Tan 42 = opp/adj

✅Tan 42 = b/a (option E is correct)

Using 48° as reference angle:

Opp = a

Hyp = c

Adj = b

Applying SOH:

Sin 48 = opp/hyp

✅Sin 48 = a/c (option D is incorrect)

Applying CAH:

Cos 48 = adj/hyp

✅Cos 48 = b/c (option B is correct)

Applying TOA:

Tan 48 = opp/adj

✅Tan 48 = a/b (option F is correct)

Answer:

y=-5x/4-2

Step-by-step explanation:

4x – 5y = 20

y = (4/5)x - 4

slope is 4/5

let new slope m:

(m)(4/5)=-1

m=-5/4

point slope form:

(y-3)/(x+4)=-5/4

y-3=-5x/4-5

y=-5x/4-2

Answer:

(1-cosA)/(1+cosA)

=(1-cosA)/(1+cosA) ×(1-cosA)/(1-cosA)

=(1-cosA)^2 /(1-cos^2A)

=(1-cosA)^2 / (sin^2A)

=(1/sinA - cosA/sinA )^2

=cosecA - cotA)^2

Hope it helps

Have a great Day ; )

Answer:

5440

Step-by-step explanation:

85 × 2 × 2 × 2 × 2 × 2 × 2 = 5440

Answer:

5,440

Step-by-step explanation:

85+85

170+170

340+340

680+680

1360+1360

2720+2720

double it 6 times

Answer:

O, A, T, and I

Step-by-step explanation:

the y coordinate is bigger than the x coordinate

Answer:

[tex]\displaystyle d \approx 3.6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Reading a Cartesian Plane

Algebra II

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(-2, 1)

Point B(1, -1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

3.6 units

Step-by-step explanation:

Point A --> [tex]x_{1} \\[/tex] = -2 , [tex]y_{1}[/tex] = 1

Point B --> [tex]x_{2}[/tex] = 1   , [tex]y_{2}[/tex] = -1

AB =

[tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2 } \\\sqrt{[1 - (-2)]^2 + [(-1) - 1]^2} \\\sqrt{3^2 + (-2)^2} \\\sqrt{9 + 4} \\ \sqrt{13} \\3.605[/tex]

distance between AB can be rounded to 3.6 units

Hope it helps.

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

Y= x2 - 12x + 15   Y=3(x+2)^2-3 in standard form

Answer:

10 cm

Step-by-step explanation:

[tex]\boxed{area \: of \: traingle = \frac{1}{2} \times base \times height}[/tex]

Substitute known values into the formula:

41.5= ½ ×8.3 ×height

41.5= 4.15 ×height

height

= 41.5 ÷4.15 (÷4.15 on both sides)

= 10cm

Answer:

10 cm.

Step-by-step explanation:

You will first need the formula for finding the Area of a Triangle:

Area = 1/2(Base x Height)

Next, we need our known measurements to plug into the Equation:

41.5 Sq Cm = 1/2(8.3cm x Height)

After that, multiply the equation by 2

2 x 41.5 = (2 x 1/2) x (8.3cm x Height)

∨

83 sq cm = 8.3 cm x Height

Finally, divide your area by 8.3 cm:

83 / 8.3 = 10cm = Height

So, the answer is Height = 10 cm.

Answer: I HAVE YOUR ANSWER!!!!!

Step-by-step explanation:

51x + 26y + 17

Answer:

B

Step-by-step explanation:

Answer:11,15

Step-by-step explanation:

x axis is 11

y axis is 15

y axis stands talll

x axis lays down

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]          ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

[tex]y=a(x-4)^2+(-7)[/tex]

[tex]y=a(x-4)^2-7[/tex]

The required equation of the quadratic function is [tex]y=a(x-4)^2-7[/tex] where, a is a constant.

Putting a=1, we get

[tex]y=(1)(x-4)^2-7[/tex]

[tex]y=(x^2-8x+16)-7[/tex]             [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]y=x^2-8x+9[/tex]

Therefore, the required quadratic function is [tex]y=x^2-8x+9[/tex].

Answer:2

Step-by-step explanation:

Answer:

0.43ᵣ = 0.1 + 0.33ᵣ = 1/10 + 1/3 = 3/30 + 10/30 = 13/30

The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

x = 0.43333......

Multiply the equation by 10 on both sides, then we have

10x = 10 × 0.43333......

10x = 4.33333......                        ...1

Multiply the equation by 100 on both sides, then we have

100x = 100 × 0.43333......

100x = 43.33333......                     ...2

Subtract equation 1 from equation 2, then we have

100x - 10x = 43.3333.... - 4.3333.....

90x = 39

x = 39 / 90

x = 13 / 30

The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

y = 2 ( x − 1 ) ^ 2 + 2

Step-by-step explanation:

y = a ( x − h ) ^ 2 + k

where vertex is (h,k) = (1,2)

h=1, k=2

y = a ( x − 1 ) ^ 2 + 2

sub ( 3,10)

10 = a (3 - 1)^2 + 2

a=2

y = 2 ( x − 1 ) ^ 2 + 2

A function is a relationship between inputs where each input is related to exactly one output.

The quadratic function in vertex form is given by:

y = a(x - h)² + k

(h, k) = vertex

The quadratic function in vertex form is y = 2(x - 1)² + 2.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = x + 2 is a function.

We have,

Quadratic function in vertex form whose graph has the vertex (1,2) and passes through the point (3,10).

The quadratic function in vertex form is given by:

y = a(x - h)² + k

(h, k) = vertex

Now,

(h, k) = (1, 2)

Passes through (3, 10).

So,

10 = a(3 - 1)² + 2

10 = 4a + 2

8 = 4a

a = 2

Now,

The quadratic function in vertex form is y = 2(x - 1)² + 2

Thus,

The quadratic function in vertex form is y = 2(x - 1)² + 2.

Learn more about functions here:

https://brainly.com/question/28533782

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Answer:

[tex]2\frac{3}{50}[/tex]

Step-by-step explanation:

So 2 would be your whole number

and since 6 is in the hundredths place the fraction would be 6/100 which is reduced to 3/50

Answer:

v= 1/6

Step-by-step explanation:

1. Simiplify 10/3v = 10/3v -5/9= -10v/3

2. Multiply both sides by 3

3. Use this rule : a/b × c = ac/b

4. 5× 3= 15 -15/9= -10v

5. Simiplify 15/9 = 5/3 -5/3 = -10v

6. Divide both side by -10 -5/3/-10=v

7. Two negative make a postive 5/3/10 = v

8. Simplify 5/3/10= 5/3×10

9. Simplify 3×10=30 5/30=v

10. Simplify 5/30 = 1/6v

11. Swith sides v= 1/6

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA was created to help you remember the relevant trig relationships. It is intended to remind you ...

  Sin = Opposite/Hypotenuse

  sin(θ) = 4/5

  Cos = Adjacent/Hypotenuse

  cos(θ) = 3/5

  Tan = Opposite/Adjacent

  tan(θ) = 4/3

__

In a right triangle, the opposite side (PQ) is the one that is not part of the angle (∠R = θ). The adjacent side (QR) is the shorter side that makes up the acute angle. The longest side (PR) is the hypotenuse.

Answer:

500%

Step-by-step explanation:

45 divided by 9 x 100 = 500

Answer:

20%

Step-by-step explanation:

1) Calculate fraction's value.

2) Multiply that number by 100.

3) Add the percent sign % to it.

Answer:

x=12

Hope this help :)

Answer:

32[tex]\sqrt{2}[/tex]

Step-by-step explanation: Feel free to ask questions wanted to answer quick so you wouldn't end up being too late!

42.9 goodluck :) ...

Answer:

251.4cm² is the area of the cone-shaped vase.

Answer:

(x,y) --> (-y,-x) is the rule

Step-by-step explanation:

(-1,3) to (-3,1)

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

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