please help me out with these questions. It's trigonometry

Please Help Me Out With These Questions. It's Trigonometry

Answers

Answer 1

Step-by-step explanation:

LOOK AT THE PICTURE

In ΔABC:

[tex]\sin\alpha=\dfrac{x}{y+p}\\\\\cos\alpha=\dfrac{q}{y+p}\\\\\tan\alpha=\dfrac{x}{q}[/tex]

In ΔADC

[tex]\sin\alpha=\dfrac{y}{x}\\\\\cos\alpha=\dfrac{z}{x}\\\\\tan\alpha=\dfrac{y}{z}[/tex]

In ΔBCD

[tex]\sin\alpha=\dfrac{z}{q}\\\\\cos\alpha=\dfrac{p}{q}\\\\\tan\alpha=\dfrac{z}{p}[/tex]

Please Help Me Out With These Questions. It's Trigonometry

Related Questions

Question 11 PLEASE HELP find the slope of the line that passes through the points (6,2) and (8,8)

Answers

Answer:

Hey there!

We have the equation: y2-y1/x2-x1.

So, we have: 8-2/8-6.

6/2, or 3.

Hope this helps!

Lori is making 3 mugs of hot chocolate. Each mug holds 1/2 a pint. ​ How many cups of hot chocolate does Lori pour?

Answers

Answer:

3  CUPS pints

Step-by-step explanation:

Multiple to get it by doing this (1/2) US pint x 3 = 1.5 US pints *2= 3 cups

3 cups a pint lori poured

Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the boat overturned and the crew sent out a distress call. They estimated that they were 12 miles away from the nearest harbor, which is 28 miles north of the port they had set sail from. If a rescue team leaves from the harbor, find all possible courses the team must follow in order to reach the overturned sailboat.

Answers

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

[tex] \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} [/tex]

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

[tex] \frac{a}{sinA} = \frac{b}{sinB} [/tex]

[tex] \frac{28}{sinA} = \frac{12}{sin25} [/tex]

Cross multiply:

[tex] 28 sin25 = 12 sinA [/tex]

[tex] 11.83 = 12 sinA [/tex]

[tex] Sin A = \frac{11.83}{12} [/tex]

[tex] Sin A = 0.986 [/tex]

[tex]A = sin^-^1(0.986)[/tex]

[tex] A = 80.44 degrees [/tex]

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

Which inequality is represented by this graph?
Help please :’/

Answers

Answer:A

Step-by-step explanation:

It is a solid line and the area below is shaded so it has to be less than the slope, hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

Its A because you find the slope, -1/3 which is followed by x.  The x intercept is 1 so you do plus one.  Because the line is solid and negative, it makes it a less-than equal to sign.  Hope this helps at all!

Step-by-step explanation:

sketch the graph for the following quadratic function.
[tex] - x ^{2} + 4x + 12[/tex]​
it's ok if it's wrong.i just wanna see how the work done to do this

Answers

Answer:

Please refer to the attached image for the graph of given function.

Step-by-step explanation:

Given the equation:

[tex]-x^{2} +4x+12[/tex]

Let us rewrite by letting it equal to [tex]y[/tex].

[tex]y=-x^{2} +4x+12[/tex]

Now, we can see that it is a quadratic equation and it is known that a quadratic equation has a graph of parabola.

Let us compare the given equation with standard quadratic equation:

[tex]y=ax^{2} +bx+c[/tex]

we get:

[tex]a = -1\\b = 4\\c = 12[/tex]

Coefficient of [tex]x^{2}[/tex] is negative 1, so the parabola will open downwards.

Axis of symmetry: It is the line which will divide the parabola in two equal congruent halves.

Formula for axis of symmetry is:

[tex]x = -\dfrac{b}{2a}[/tex]

[tex]x = -\dfrac{4}{2(-1)}\\\Rightarrow x=2[/tex]

It is shown as dotted line in the image attached in the answer area.

Axis of symmetry will also contain the vertex of the parabola.

It is a downward parabola so vertex will be the highest point on this parabola.

Putting x = 2 in the equation of parabola:

[tex]y=-2^{2} +4\times 2+12\\\Rightarrow y =16[/tex]

So, vertex will be at P(2, 16).

Now, let us find points of parabola to sketch graph:

put x = 0, [tex]y=-0^{2} +4\times 0+12=12[/tex]

Another point is Y(0,12)

Now, let us put y = 0, it will give us two points because the equation is quadratic in x.

[tex]0=-x^{2} +4x+12\\\Rightarrow -x^{2} +6x-2x+12=0\\\Rightarrow -x(x -6)-2(x-6)=0\\\Rightarrow (-x-2)(x-6)=0\\\Rightarrow x = -2, 6[/tex]

So, other two points are X1(-2, 0) and X2(6,0).

If we plot the points P, Y, X1 and X2 we get a graph as attached in the image in answer area.

Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable.

Answers

Complete question:

Dr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?

Answer:

Here,

Independent variable (IV) is: the color of the light produced by the lamp (red, orange, yellow, green, or blue)

We are also told only 10 participants are available.

All 10 participants are being exposed to all five levels of the color variable in the same order.

Counterbalancing is said to be a technique used when establishing task order. It helps prevent introduction if cofounding variables.

Dr. Lyte will need to use counterbalancing technique in this scenario because some of the participants may be unable to understand difference in similar colours. Example some participants may not be able to differentiate between orange and red when the red colour comes after orange.

But using counterbalancing technique, Dr. Lyte can avoid such an error.

describe fully the single transformation that takes shape A to shape B

Answers

Answer:

Divide by 2 or -2

Step-by-step explanation:

The edges lengths have decreased:

4/2=2

2/2=1

6/2=3

Transformation involves changing the position and size of a shape.

The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

From the figure, we have:

The side lengths of shape A are twice as large as the side lengths of shape BShape A can be rotated 180 degrees to map onto shape B, after dilation.

So, the scale of dilation from shape A to B is:

[tex]\mathbf{Scale = \frac{1}{2}}[/tex]

Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

Read more about transformations at:

https://brainly.com/question/11707700

Help plzzzzzzzz do these two questions and I’ll mark Brainlynest

Answers

Answer:

Step-by-step explanation:

Q1: <B = 150 °

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

8x-10 = 3x+90

5x=100 (subtract 3 from both sides)

x=20   (divide both sides by 5)

x = 20

<B= 3x +90

<B = 3 (20) +90

<B = 60 + 90

<B = 150

Q2: 62

An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.

An angle is 34 more than its complement.

Let x represent the angle.

Let y represent its complement.

x= 34 +(90-x)

y= (90-x)

x + y = 90

34 + (90-x) + (90-x) =90

x= 62

Check the answer.

x= 34 more than complement.

62-34=28

62+28=90

Checked!

Words of encouragement:

Good luck!

What’s are the answers for both?

Answers

Answer:

d = 8g = 2

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

[tex] \frac{7(7g + 8)}{4} = 38.5[/tex]

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

could someone please answer 1 and 7:)​

Answers

Answer:

1- %50

0.2008

Step-by-step explanation:

0.0008 1/5

(0.0008*5)+1=0.004+1=1.004/5

0.2008

Answer:

1) 50%

7) 5.02

Step-by-step explanation:

1)

Even if a coin is tossed many times and its still heads there is still 50% it is tails. It doesn't change.

7)

.0008 1/5 as a fraction.

So first we need to put .0008 into 1/5.

To do that we do .0008*5 which is .004.

So the fraction is now 1.004/5

To make that a decimal we do 1.004 divided by 5 which is 5.02

Let's consider the scenario: You bring a hunting rifle to forest, and you see a tree full of birds. You count 15 birds total. You shoot 1 down. HOw mAny are left?

Answers

Answer:

0( no birds)

Step-by-step explanation:

if you shoot one, the rest will fly away

Answer:

14 alive birds, but 15 in total.

Step-by-step explanation:

15-1=14, or 15-0=15. the dead one still exists

Two similar triangles are shown.
to create
AXYZ was dilated, then
AQAG
translated
reflected
dilated
rotated

Answers

Answer: reflected

Step-by-step explanation:

The triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.

What are the types of translations?

There are three types of translations -

reflectionrotationdilation

Given is a triangle ΔXYZ.

It is asked to find the type of translation that would result in ΔQAG.It can be seen in the figure that the triangle XYZ is reflected across the given line to form triangle QAG.So, we can we can replace the blank with Option - 2 : reflected.

Therefore, the triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.

To solve more questions on graph rotation, visit the link below-

https://brainly.com/question/19527326

#SPJ7

Urgent pls. The diagram shows a parallelogram. Work out the area of the parallelogram. Give your answer to 2 significant figures.

Answers

Answer:

54.88 square cm

Step-by-step explanation:

If d1 and d2 are the diagonal of parallelogram and [tex]\alpha[/tex] is the angle between then

then its area is given by

area = d1*d2 sin [tex]\alpha[/tex]

given

in the problem

for one diagonal one part is 7cm

we know that diagonal intersects each other to divide each part of same diagonal equally.

hence if one part is of length 7 then other part is also of 7cm length

hence full length of this diagonal is 7+7 = 14cm

similarly  full length of other diagonal is 4+4 = 8cm

now area of this parallelogram

area = d1*d2 sin [tex]\alpha[/tex]  = 14*4 sin100

we know sin100 = 0.98

area = 56*0.98

area = 54.88

Thus, area of given parallelogram is 54.88 square cm.

Claire is designing a banner that will hang in her classroom. The length of one diagonal of the banner is 48 inches, and the sides are 25 inches long. Is the banner a square?

Answers

Answer:  No the banner is not square.

Step-by-step explanation:

If it were square, the diagonal would be about 35.36 inches.

Pythagorean Theorem: a² + b² + = c²

?25² + 25² = 48² ?

625 + 625 ?=? 2304

1250 ≠ 2304

√1250 ≈ 35.3553

Answer:

The second option

Step-by-step explanation:

Source: trust me bro

To Finance a Vacation in 4 years, Margo saves $530 at the begenning of the every month in an account paying interest at 3.9% compounded quarterly a. What will be the balance in her ac To Finance a Vacation in 4 years, Margo saves $530 at the begenning of the every month in an account paying interest at 3.9% compounded quarterly a. What will be the balance in her account when he takes the vacation? [4 marks] b. How much of the balance will be an interest? [2 marks] c. If she waits an additional year to start her vacation, continues to save the same amount of money, how much more money does she have to spend count when he takes the vacation? [4 marks] b. How much of the balance will be an interest? [2 marks] c. If she waits an additional year to start her vacation, continues to save the same amount of money, how much more money does she have to spend

Answers

i got this question too as my homework it so hard ill let you know if i find out the answer.

There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 people use the gym and the pool. 30 people use the pool and the track. 17 people use the gym and the track. 6 people use all three facilities. A person is selected at random. What is the probability that the person uses exactly one of the facilities? There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 people use the gym and the pool. 30 people use the pool and the track. 17 people use the gym and the track. 6 people use all three facilities. A person is selected at random. What is the probability that the person uses exactly one of the facilities?

Answers

Answer:

Step-by-step explanation:

No of people using both gym and pool that is N( gup ) = 25

No of people using both track and pool that is N( tup ) = 30

No of people using both track and gym that is N( tug ) = 17

No of people using all that is N( gutup) = 6

No of people  using two or three facilities

= 25+30+17- 2 x 6

= 60

Total no of people = 125

No of people using only one facility

= 125 - 60

= 65 .

Ratio of people using only one facility

= 65 / 125

.52

Required probability

= .52 .

probability that the person uses exactly one of the facilities

= .52

The coefficient of x in the expansion of the following is (x+3)^3 a) 1 b) 3 c) 18 d) 27 e) 9

Answers

Answer:

  d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

  (a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

  3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

Can someone help me solve this question? I'd appreciate it! Thank you.

Answers

Step-by-step explanation:

Side a = 63

Side b = 21

Side c = 66.40783 = 21√10

Angle ∠A = 71.565° = 71°33'54" = 1.24905 rad

Angle ∠B = 18.435° = 18°26'6" = 0.32175 rad

Angle ∠C = 90° = 1.5708 rad = π/2Area = 661.5

Perimeter p = 150.40783

Semiperimeter s = 75.20392

Height ha = 21  

Height hb = 63

Height hc = 19.92235

Median ma = 37.85829  

Median mb = 63.86901

Median mc = 33.20392

Inradius r = 8.79608  

Circumradius R = 33.20392  

Vertex coordinates: A[0, 0] B[66.40783, 0] C[6.64078, 19.92235]

Centroid: [24.34954, 6.64078]

Inscribed Circle Center: [12.20392, 8.79608]

Circumscribed Circle Center: [33.20392, 0]

Find the following System by the cramer's rule 4x-2y=8 3x+y=-4

Answers

Answer:

the value of x is 0 and y is -4.

hope it helps uh..

Jessica can paint 12 rocks in 8 minutes. How many rocks can she paint in 48 minutes

Answers

Answer:

72 rocks.

Step-by-step explanation:

A "easier" way to find out the answer, is to find how much rocks Jessica paints in 1 minute.

Divide 12 with 8:

12/8 = 1.5

Next, multiply the number you got (1.5) with 48:

48 x 1.5 = 72

Jessica can paint 72 rocks in 48 minutes.

~

Answer:

72 rocks

Step-by-step explanation:

So let’s create the following ratio 12:8

The 12 is the amount of rocks and the 8 is the time in minutes.

So we have to find how many rocks she can paint in 48 minutes.

So we make the following ratio x:48.

So we need to find x the amount of rocks she can paint in 48 minutes.

So to find x we have to divide 48 by 8 = 6.

So if the ratio is x6 we can just do 12 * 6 which is 72.

So she can  paint 72 rocks in48 minutes.

What does the graph of f(x)=3x^2-2x+1 look like

Answers

Answer:

Below.

Step-by-step explanation:

This is a parabola.

As the coefficient of x^2 is positive it will open upwards ( shaped like a 'U').

If we convert to vertex form we can find the line of symmetry  and the coordinates of the vertex:

f(x) = 3x^2 - 2x + 1

f(x) = 3(x^2 - 2/3 x) + 1

f(x) = 3[(x - 1/3)^2 - (1/3)^2] + 1

f(x) = 3(x - 1/3)^2 - 1/3 + 1

f(x) = 3(x - 1/3)^2 + 2/3

So the line of symmetry is  x = 1/3 and

the vertex ( the minimum of the curve) is at (1/3, 2/3).

What is the next number in the pattern below?

3, 5, 9, 15, 23, ___
A.
31
B.
33
C.
35
D.
37

Answers

Answer:

the answer you are looking for is the letter B. 33

An observer (O) spots a plane flying at a 55° angle to his horizontal line of sight. If the plane is flying at an altitude of 21,000 ft., what is the distance (x) from the plane (P) to the observer (O)? (4 points)

Answers

If the plane is flying at an altitude of 21,000 feet, it is perpendicular to the observer's horizontal line of sight. Thus, I concluded that the given information be assigned to the attachment below.

Given -

( Observer at point O, plane flying at point P

( Plane at 55° angle to horizontal line of sight, altitude of 21,000 feet

The distance ( x ), is represented by the line segment OP, with which we have to determine the length of. Therefore we can conclude the following -

[tex]Sin( 55 ) = Altitude / Distance,\\Sin( 55 ) = 21,000 / x,\\----------------\\x = \frac{21,000}{Sin( 55 )},\\x = 21,000 / 0.81915204428\\\\x = ( About ) 25636 feet\\[/tex]

As you can see, the distance from the plane to the observer is about 25,636 ft!

Answer:

25,636 feet

Step-by-step explanation:

I took the test on FLVS and got 100%

What is the area of the rhombus ABCD is AB is 11.2, diagonal AC is 17, and diagonal BD is 15

Answers

Answer:

117.5

Step-by-step explanation:

The formula for the area A of a rhombus is

A = ½d₁d₂,

where d₁ and d₂ are the lengths of the diagonals.

A = ½ × 17 × 15 = 117.5

Answer: 127.5 sq. units

Step-by-step explanation:

PLZ HELP QUICK............

Answers

Answer:

[tex]4^m[/tex]

Step-by-step explanation:

When you exponent an exponent, you multiply the powers together.

When you divide exponents, you subtract the powers.

Step 1: Convert to same base

log₄64 = 3

Step 2: Rewrite equation

[tex]\frac{(4^3)^{0.5m}}{4^{0.5m}}[/tex]

Step 3: Simplify

[tex]\frac{4^{1.5m}}{4^{0.5m}}[/tex]

Step 4: Simplify

[tex]4^m[/tex]

Simplify √18. Help!!! I am on a test on ingenuity. 2√3 2√9 3√2 9√2

Answers

the answer is √18 = 3√2

Please please help!!! Study the diagram of circle Z. Points P, O, Q, and R lie on circle Z in such a way that OP¯¯¯¯¯¯¯¯≅QR¯¯¯¯¯¯¯¯. If m∠QZR=(2x+9)∘ and m∠PZO=(4x−11)∘, what is the value of x?

x=3.3
x=15.3
x=10
x=12

Answers

Answer:

The correct option is

x = 10

Step-by-step explanation:

in a circle Given that chord  [tex]\overline {OP}[/tex] is congruent to  [tex]\overline {QR}[/tex], we have;

Measured angle m∠RZQ is congruent to measured angle m∠PZO

Congruent chords are subtended by congruent angles at the center of the circle

Therefore we have;

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°.

Answer:

x=10

Step-by-step explanation:

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°

can someone help i have less than an hour !!

Answers

Answer:

[tex]x \geqslant 4[/tex]

Option D is the correct option.

Explanation:

Since, there is a solid circle(blue) at X=4 which implies the value '4' is included in the inequality solution.

Hope this helps...

Good luck on your assignment...

Which of the following is an arithmetic sequence?

Answers

Answer:

B

Step-by-step explanation:

An arithmetic sequence there will be a constant difference between terms.

Option A: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is ×[tex]\frac{1}{2}[/tex], but the difference between the 3rd term to the 4th term is ×[tex]\frac{1}{4}[/tex].

Option B: this sequence is an arithmetic sequence as the differences between every two consecutive terms are +5.

Option C: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is -8, but in the difference between the 2nd term and the 3rd is +8.

Option D: this sequence is a typical fibonacci sequence, and clearly we can see that the differences are different in every two consecutive terms.

I hope this helps, ask me any question if you do not understand :)

Is 2+4x-5x^2 in standard form?!

Answers

Answer:

y=-5x^2+4x+2

Step-by-step explanation:

Answer:

-5x² + 4x + 2

Step-by-step explanation:

Standard Form: ax² + bx + c

All you need to do is rearrange to have the highest degree first.

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