Find angle x, giving your answer to 1 decimal place.

Find Angle X, Giving Your Answer To 1 Decimal Place.

Answers

Answer 1

Answer:

57.8 degrees and 122.2 degrees (to one decimal place)

Step-by-step explanation:

Since there are two pairs of angle/side involved, we can use the sine rule.

sin(A)/a = sin(B)/b

where

A = angle x

a = 11cm

B = 38 degrees

b = 8 cm

substitute in the sine rule equation,

sin(A) = sin(x) = sin(38)/8 * 11 = 0.61566 * 11/8 = 0.84653

Now there are two solutions for x where sin(x) = 0.84653, they are supplement angles, namely 57.8367 degrees and 122.1633 degrees.

The reason for the two solutions is because the 8cm side can swing in two positions, one that makes x acute, and the other one obtuse.


Related Questions

Four times the sum of twice a number and 6 is -8. Find the number.

Answers

Hey there! :)

Answer:

x = -4.

Step-by-step explanation:

We can write an algebraic equation to express this situation.

Let 'x' represent a number:

4(2x + 6) = -8.

Begin by dividing both sides by 4:

2x + 6 = -2

Subtract 6 from both sides:

2x + 6 - 6 = -2 - 6

2x = -8

Divide 2 from both sides:

2x/2 = -8/2

x = -4.

Answer : -4

Step-by-step explanation:

Let the no. be x

4(2x+6) = -8

8x+24 = -8

8x = -8 - 24

8x = -32

x= -32 / 8

x= -4

Which graph passes through the point (-5,-6) and has a slope of 2/3 (two over three)

Answers

Answer:

Answer A

Step-by-step explanation:

Firstly, you can eliminate the last two choices because they don't go through the point (-5, -6). For slope, use your [tex]\frac{rise}{run}[/tex]. Go up 2 and go left 3, and you'll see that the 1st graph matches this pattern.

how do i find x and y?​

Answers

Answer:

y=65

x=50

Step-by-step explanation:

exterior angle of a triamgle is equal to sum of two interior angles

so

2y=130(as it is isosceles triangle)

y=65

we know y+y+x=180(sum of all angles of triangle)and (vertically opposite angle)

therefore, x=50

Answer:

x=50°

y=65°

Step-by-step explanation:

I guess it would be better if there were alphabets representing each vertices otherwise it would difficult for you to understand

Let's take the point of intersection as O

Since It is a straight line(on both sides of O)=180°

Therefore x=180°-130°=50°

In the second triangle the angle at the top = 50° because x and that angle are vertically opposite to each other and therefore are equal

When the two sides of a triangle are equal, The base angles are always equal

Second triangle is 180°

The top angle is 50°

the base angles (which y and the angle below it)

is equal to 180°-50°=130°

Since base angles are equal and their sum is 130°, One base angle which is Y = 130°÷2=65°

si 3x-y es igual a 12 ¿cual es el valor de 8x/2y?

Answers

Responder:

4/y + 1/3

Explicación paso a paso:

Dado que:

3x - y = 12

3x = 12 + y

Divide ambos lados entre 3

x = 4 + y / 3 - - - (1)

Valor de 8x / 2y

8x / 2y = 4x / y

4x / a - - - (2)

Sustituye x = 4 + y / 3 en (2)

4 (4 + y / 3) ÷ y

(16 + 4g / 3) / y

16 / y + (4y / 3 ÷ y)

16 / y + (4y / 3 × 1 /y)

16 /y + 4/3

Dividiendo a través de 4

(16 /y) * 1/4 + (4/3) * (1/4)

(4 /y + 1/3)

MULTIPLY: 4(6-2d) PLEASE HELP!!!!! ASAP!!!!

Answers

Answer:

24-8d

Step-by-step explanation:

4✖️6=24

4✖️(-2d)=-8d

=24-8d

Hope this helps, BRAINLIEST would help me:)

Answer:

-8d + 24.

Step-by-step explanation:

4(6 - 2d)

= 4 * 6 - 4 * 2d

= 24 - 8d

= -8d + 24

Hope this helps!

The circle is inscribed in triangle A E C. Which are congruent line segments? Select two options. AB and CB ;EF and ED; ED and CD ;A F and EF ;CB and CD

Answers

Answer:

B and E

aka

E-F and E-D

C-B and C-D

Step-by-step explanation:

By the symmetry of the circle, we can see that:

EF is congruent to ED.EC is congruent to EAAB is congruent to BCFA is congreunt to DC.

What are congruent line segments?

Two segments are congruent when the segments have the same measure.

Here, we can use the symmetry of the circle to break the triangle into two equal parts.

We could see that segment EB cuts the triangle into two equal halves, then we will have that:

EF is congruent to ED.EC is congruent to EAAB is congruent to BCFA is congreunt to DC.

These are the congruent segments.

If you want to learn more about segments, you can read:

https://brainly.com/question/14366932

Can someone please help me I really need help please help me thank you

Answers

Answer:

The initial value of the computer

Explanation:

The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.

8x= -14 Give your answer as an improper fraction in its simplest form. please help its due now! AWARD = BRAINLIEST!!!

Answers

Answer:

x= -7/4

Step-by-step explanation:

8x= -14

Divide both sides by 8

8x/8 = -14/8

Simplify

x= -7/4

Answer:

x=-7/4 is an improper fraction

Step-by-step explanation:

8x=-14

dividing 8 on both sides

x=-14/8

cancelling by 2

x=-7/4

i hope this will help you :)

Solve for x: negative 3 over 2, multiplied by x minus 9 equals negative 27 −24 −12 11 12 Btw please show the work bc i not only want the answer, i also want to understand it too

Answers

Answer:

[tex]\boxed{ x = 12}[/tex]

Step-by-step explanation:

Given Equation is:

[tex]\frac{-3}{2} (x) - 9 = -27[/tex]

Adding 9 to both sides

=> [tex]\frac{-3x}{2} = -27+9[/tex]

=> [tex]\frac{-3x}{2} = -18[/tex]

Multiplying 2 to both sides

=> -3x = -18 * 2

=> -3x = -36

Dividing both sides by -3

=> x = 12

The answer is -24. First, add 9 to both sides to cancel it out; you get negative 3 over 2 equals 36. Then, you multiply both sides by negative 2 over 3 to cancel out the fraction and you get -24.

Q1. Calculate the area and perimeter of the following ring where a = 7cm, b = 14cm (i) Area of Ring: (3) (ii) The perimeter of Ring:

Answers

Answer:

i) Area of the ring = 462cm²

ii) Perimeter of the ring = 132cm

A complete question related to this found at brainly (ID: 19152996) is stated below:

Calculate the area and perimeter of the following ring where a = 7cm, b = 14cm (i) Area of Ring (ii) The perimeter of Ring

Find attached the diagram.

Step-by-step explanation:

a= smaller radius = 7cm

b= bigger radius = 14cm

i) Area of the ring = Area of larger circle - Area of smaller circle

Area of circle = Area of a ring = πr²

π =22/7

Area of larger circle = (22/7)(14)² = 22×28

Area of larger circle = 616cm²

Area of smaller circle = (22/7)(7)² = 22×7

Area of smaller circle = 154cm²

Area of the ring = 616 - 154 = 462cm²

ii) Perimeter of ring = Perimeter of larger circle + Perimeter of smaller circle

Perimeter of circle = 2πr

When r = 7cm and π = 22/7

Perimeter of smaller circle = 2×(22/7)×7 = 2×22

Perimeter of smaller circle = 44cm

When r = 14cm and π = 22/7

Perimeter of larger circle = 2×(22/7)×14 = 4×22

Perimeter of larger circle = 88cm

Perimeter of ring = 88+44 = 132cm

PLEASE ANSWER ASAP For the equation y=2x2-16x+30 Identify the vertex and convert into vertex form. STEP BY STEP PLEASE EXPLAIN HOW TO GET THE VERTEX

Answers

Answer:

Step-by-step explanation:

To put a quadratic into vertex form, you need to complete the square on it. Do this by following these steps. I'll tell you what we're doing and then show you what it looks like.

First step is to set the quadratic equal to 0 and then move the constant over. That's 2 steps in one, but not confusing at all. That looks like this:

[tex]2x^2-16x=-30[/tex]

Next, the rule is that the leading coefficient has to be a positive 1.  Ours is a 2, so we will factor out a 2 but only from the left side. That looks like this:

[tex]2(x^2-8x)=-30[/tex]

Next step is to take half the linear term (the number with the x attached to it, not the x-squared), square it, and add it in to both sides. This is where things get a bit tricky, so pay attention. Our linear term is 8, half of 8 is 4, and 4 squared is 16. So we add 16 in. We'll do it to the left only first:

[tex]2(x^2-8x+16)[/tex]

That's the left side.  Notice that there is still a 2 out front there. That 2 is a multiplier. That means that what we actually added in was 2(16) = 32, not just 16. Now adding that to the right makes the whole thing:

[tex]2(x^2-8x+16)=-30+32[/tex]

Completing the square allows us to create a perfect square binomial on the left which is in the form (x -   )². That blank space is filled in with the number we squared and then added in. We squared a 4 to get 16, so our perfect square binomial is (x - 4)². Putting that together:

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

Last step is to move the constant back over and set the quadratic back equal to y:

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

From here the vertex is apparent. It is (4, -2).

Can someone help me with this question please.

Answers

The correct answer is 3780 bolts

Explanation:

In one hour the machine can make either 500 nuts or 840. Now, if the machine first made 750 nuts, this means the machine worked 1.5 hours. You can know this using the rule of three:

500 nuts  (a)  = 1 hour (b)

750 nuts  (c) = x (time spent to make 750 nuts)

x = 750 x 1 / 500

x = 1.5

Note: In a rule of three you find the fourth unknown value if you multiply value b by c and divide it by the value a.

According to this, the machine worked 1.5 hours making nuts, and if the machine started at 2 pm, this means the machine ended making nuts at 3.30 pm as 2 pm + 1.5 hours = 3:30 pm (2 + 1.5 = 3.5 ). Now you know the machine made bolts from 3: 30 pm to 8:00 p.m. This means the time the machine made bolts was 4 and a half hours or 4.5 hours (8 - 3.5 = 4.5). At this point, the only missing step is to multiply the time 4.5 hours by the number of bolts the machine makes each hour 840 and this is equivalent to 3780 bolts (840 x 4.5 = 3780).

What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6 ?
y= -3/4x+8
y=-3/4x+6
y=4/3x-8
y=4/3x-6

Answers

Answer:

y = 4/3x - 8

Step-by-step explanation:

slope of given line is -3/4 so the perpendicular slope is 4/3

line goes through (6, 0)

y = mx + b

0 = 4/3(6) + b

-8 = b

y = 4/3x - 8

In which function is x = 2 mapped to 32?
=-3x²-4
g(x) = 4(x+3)2 - 68
Oh(x) = 3x
(x) = 2x-62

Answers

Answer:

the second one, you see:

first one [tex]=-3(2^{2} ) -4=-3(4)-4=-16[/tex]

[tex]g(x)=4(2+3)^{2} -68=4(5)^{2} -68=4(25)-68=100-68=32[/tex]

Expand. If necessary, combine like terms. (x+5)(x−5)

Answers

Answer:

x²−25

Step-by-step explanation:

CLT:

Apply the formula (a-b)(a+b) = a^2*b^2. Substitute 'x' for 'a' and y for 'b'.

(x+5)(x−5)

=(x+5)(x+−5)

=(x)(x)+(x)(−5)+(5)(x)+(5)(−5)

=x²−5x+5x−25

=x²−25

Thats a lot of x's

Hope this helps!

If it does please give me a 'thanks'

Answer:

[tex]x^{2} -25[/tex]

Step-by-step explanation:

[tex](x+5)(x-5)[/tex]

[tex](x*x)(x*-5)(5*x)(5*-5)[/tex] multiply the insides by their opposites

[tex]x^{2}-5x+5x-25[/tex] this can also be shown as [tex]x^{2}+5x-5x-25[/tex]

[tex]x^{2} -25[/tex] the [tex]5x[/tex] and [tex]-5x[/tex] cancle each other out

Help me plz figure this out.

Answers

Answer:

B

Step-by-step explanation:

YOu have to take out hte inches so now we have A and B. But, the inches cancel out so we get B.

Question 16 of 25
2 Points
An acute angle's measure is:
A. between 90° and 180°.
B. between 0° and 90°.
C. exactly 90°
SUBMIT

Answers

Answer:

An acute angle is greater than 0 and less than 90

Step-by-step explanation:

An acute angle is greater than 0 and less than 90

A right angle is 90 degrees

An obtuse angle is greater than 90 and less than 180

Answer:

Between 0 and 90 because think of a cute baby they are small put it to angles they are smaller than an obtuse angle and so on.

Step-by-step explanation:

Confusing again ?!?!?!?! Please help I have 5 mins

Answers

Answer:

B.

Step-by-step explanation:

Hope it was Right.

Answer: the answer is c

Brittany's kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite
measures 70°, how high is the kite above Brittany's head?

Answers

Answer:

61.1 m is the correct answer.

Step-by-step explanation:

Given that

Brittany's kite has a string length = 65 m

Angle of elevation of kite = [tex]70^\circ[/tex]

A right angled triangle can be constructed for the given situation.

Please refer to the attached figure.

[tex]\triangle BFK[/tex] in which B is the position of Brittany.

K is the position of kite and

F is the point of field above which the kite is flying.

Given that the side BK = 65m

[tex]\angle B = 70^\circ[/tex]

To find, side FK = ?

We can use sine trigonometric identity to find the value of FK.

We know that :

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\Rightarrow sinB = \dfrac{FK}{BK}\\\Rightarrow sin70 = \dfrac{FK}{65}\\\Rightarrow FK = 65 \times 0.94\\\Rightarrow FK = 61.1\ m[/tex]

Hence, the answer is 61.1 m.

Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada's Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip.

Answers

Answer:

C = 600 + 50s

Step-by-step explanation:

Let s be the number of students that go on the trip.

Let C be the cost.

The bus costs $600 and the entry fee (for each student) costs $50.

The cost for the trip will be the sum of the cost of the bus and the ticket for every student that goes on the trip.

This implies that the total cost for the trip will be:

C = 600 + 50(s)

C = 600 + 50s

Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price of all the plates then became $8. What was the total number of plates Mrs Lim bought in all?​

Answers

Use simultaneous equations to solve this question, it’s beginners algebra if I’m not wrong. I hope you’re able to understand my working :)

A line is perpendicular to y = {2/3x + 2/3}
and intersects the point (-2, 4).
What is the equation of this
perpendicular line?
y = - x + [?]

Answers

Answer: y = (-3x/2) + 1

Step-by-step explanation:

From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.

Hence the equation will be

y = (-3x/2) + c

As this line passes through (-2,4), putting these values in this equation gives  c = 1.

Hence the answer is y = (-3x/2) + 1

When you use your debit card to get cash you have: A:Deposited money in your checking account. B:Withdrawn money from your checking account. C:Added to your checking balance. D:Reconciled your checking account.

Answers

Answer:

B.

Step-by-step explanation:

When you use your debit card, you are purchasing something and using money. Therefore, you are withdrawing money from your account to pay for an item.

B is correct
Explanation:

The money is withdrawn from your checking account right after a purchase is made, sometimes it takes several days for the money to get withdrawn if you order anything online.

I can type 4 words per minute. How long will it take me to write
an 500 words essay

Answers

Answer:

125 min

Step-by-step explanation:

given :

4 words -----> takes 1 min

1 word --------> takes 1/4 min

500 words ------> takes (1/4) x 500 = 125 min

Answer:

It will take 125 minutes

Step-by-step explanation:

Because 500/4 = 125

The variables a and b vary inversely. Use the given values for a and b to write an equation relating a and

b.

a=2; b=5​

Answers

Answer:

xy=10

Step-by-step explanation:

Vary inversely means x and y have a constant product.  The graph is not a straight line.  We find the product from the given set of values a=2, b=5 to get ab=10.  Therefore xy=10 is the equation.

Hey loves!!! plz help!!!

Answers

Answer:

k Nishant

Step-by-step explanation:

there is no comman angle but their is common side that is AC

Multiply. 4.9 0.3 plz i need epain how to do it

Answers

Answer:

1.47

Step-by-step explanation:

Use the multiplication method.

Answer:

Hello!

_______________________-

4.9 x 0.3 = 1.47

Step-by-step explanation: Multiply 4.9 by 0.3 then you get 1.47.

Hope this helped you!

Please answer ASAP! (No explanation required!) <3

Answers

Answer:

a) 9 squares long

b) 18

Step-by-step explanation:

please help me for the brainliest answer

Answers

Answer:

1.17

Step-by-step explanation:

1 £ = 1.25 dollars

1 Euro = 1.07 dollars

=> 1 £ = (1.25/1.07) Euros = 1.17 Euros

1.17 I hope this helped you

There were 7 sheets of paper. Some of them were cut into three parts. Then, in total there were 13 pieces of paper. How many sheets of paper were cut?

Answers

Answer:

13

Step-by-step explanation:

The number of sheets of paper that were cut is 2 sheets

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of sheets of paper = 7 sheets

The number of pieces they were cut = 3 pieces

The new total number of sheets of paper = 13 sheets

So ,

The difference in sheets of paper =
new total number of sheets of paper - number of sheets of paper

The difference in sheets of paper = 13 - 7

                                                        = 6 sheets

Now , each paper is cut into 3 extra sheets

So , the number of papers cut =
The difference in sheets of paper / number of pieces they were cut

The number of papers cut = 6 / 3

                                           = 2 sheets of paper

Hence , the number of sheets of paper that were cut is 2 sheets

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

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Which function could Heather be writing? f(x) = x2 + 36x + 12 f(x) = x2 36x 12 f(x) = x2 + 12x + 36 f(x) = x2 12x 36 A bread recipe calls for 2 1/2 cups of whole wheat flour 2/3 cups of rice flour 2 1/4 cups of white flour how many total cups of flour are needed write your answer as a simplified mixed number A cell with the homologous chromosomes undergoes meiosis, and gametes are produced. Is it possible for a chromosome of a gamete tocontain the alleles for gray body and brown eyes A centrifuge has an angular velocity of 3,000 rpm, what is the acceleration (in unit of the earth gravity) at a point with a radius of 10 cm Helppp!!!! please!!! Which best describes the relationship between the line that passes through the points (-9, 2) and (-5, 4) and the line that passes through the points (-3, 4) and (1, 6)? What length (in m) should an oboe have to produce a fundamental frequency of 294 Hz on a day when the speed of sound is 350 m/s? It is open at both ends. 5. 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And he knew that it was mine, And into my garden stole When the night had veiled the pole; In the morning glad I see My foe outstretched beneath the tree. Which of the following best describes the theme of this poem and how it is presented? A. The lack of rhythm or meter brings out the conflict between suppressing and expressing anger against ones foes. B. The childlike tone reveals the contrasting cunningness and cruelty with which one goes about destroying ones foes. C. The repetitive use of alliteration highlights the obsession with competing and gaining an advantage over ones foes. D. The regular AABB rhyme brings out the natural tendency to make neighbors jealous of ones blooming garden. What does NOT give law enforcers probable cause? (choose all answers that apply) Group of answer choices Reasonable suspicion that a crime has been committed. An anonymous tip is considered reliable evidence. When a person is in flight. A person's appearance. can yall please help me 5. 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The new drink soon becamenot only cheap but necessary.O "Traditionally, English workers had brewed their ownbeer, which they drank along with bread, their othermajor source of food."O "England was the first country in the world to shiftfrom making most of its money in traditional places,such as farms, mines, or small shops, to factories."O "Starting around 1800, sugar became the staplefood that allowed the English factoriesthe mostadvanced economies in the worldto run."O "Sugar supplied the energy, the hint of nutrition, thesweet taste to go with the warmth of tea that eventhe poorest factory worker could look forward to."Why did the English, in particular, need a low-cost,filling hot drink? In a word: factories. England was thefirst country in the world to shift from making most ofits money in traditional places, such as farms, mines,or small shops, to factories. In the early 1800s theEnglish figured out how to build machines to weavecloth and how to organize workers so that they could Read this excerpt from the Gettysburg Address by Abraham Lincoln and answer the question.We are met on a great battlefield of that war. We have come to dedicate a portion of that field as a final resting place for those who here gave their lives that that nation might live. But, in a larger sense, we cannot dedicate, we cannot consecrate, we cannot hallow this ground.In the above excerpt, Lincolns characterization of the battlefield is accomplished through which method(s)? Select all that apply.the use of metaphor as hallowed groundLincolns opinions about itthe personification of the battlefield as a human, living thingthe description of actions taken on it Which in text citation is correctly formatted in MLA style?O (Smith 179)(Smith 2015)(Smith, 2015)O (Smith, p. 179)