Solve angle X to 1 dp

Solve Angle X To 1 Dp

Answers

Answer 1

Answer:

x ≈ 57.8°

Step-by-step explanation:

using the Sine rule in the triangle

[tex]\frac{11}{sinx}[/tex] = [tex]\frac{8}{sin38}[/tex] ( cross- multiply )

8 × sinx = 11 × sin38° ( divide both sides by 8 )

sinx = [tex]\frac{11sin38}{8}[/tex] , then

x = [tex]sin^{-1}[/tex] ( [tex]\frac{11sin38}{8}[/tex] ) ≈ 57.8° ( to 1 dec. place )


Related Questions


Plzzz help! I’ll give you the Brainliest.

If a sailing ship traveled 100 miles (160 kilometres) a day about how many days would it take to travel between London and New York City? Explain.

Distance: __________
Travel Time: __________

Hint: find the distance between London and New York City first.

Plz tell me the distance and travel time it took.

Thank you!

Answers

Answer: distance: 160 kilometres

travel time:100

Step-by-step explanation:

Answer:

94 days 9400 distance

Step-by-step explanation:

7. The function A(t) = Pe" is used to calculate the balance. A, of an
investment in which the interest is compounded continuously at an
annual rate, r, over t years. Find the inverse of the formula. Describe
what information the inverse gives.

Answers

Answer:

lol i don’t have an answer but hey averi, i’m struggling too.

Step-by-step explanation:

Please help I need one more answer to pass

Answers

Answer:

20 cm

Step-by-step explanation:

12^2 = 144

16 ^ 2 = 256

256+144 = 400

sqrt(400) = 20

hope this helps!

Answer:

The hypotenuse is 20 cm :)

Step-by-step explanation:

Using a^2 + b^2 = c^2

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

c = sqrt(400)

c = 20 cm

A sweater at Hollister costs $42. After-tax the sweater is $44.94. What is the sales tax rate?

Answers

Answer:

2.00$ and 94¢is the tac

Tax rate = 7%

What Is a Tax Rate?

A tax rate is the percentage at which an individual or corporation is taxed. The United States (both the federal government and many of the states) uses a progressive tax rate system, in which the percentage of tax charged increases as the amount of the person's or entity's taxable income increases.

Given,

Hollister costs = $42

After tax Hollister costs = $44.94.

tax amount = 44.94.- 42 = 2.94

Tax rate = (After tax Hollister costs - Hollister costs)/Hollister costs

Tax rate = (44.94.- 42)/42

Tax rate = 2.94/42

Tax rate = 0.07

Tax rate = 7%

therefore, the tax rate for the sweater is 7%

Read more about percentages at:

https://brainly.com/question/13450942

#SPJ2

i need help quick!! this is unit 1:geometry basics. homework 5: angle relationships if anyone know tell me

Answers

Answer:

Five angle relationships are;

1) Adjacent angles

2) Alternate exterior angles

3) Corresponding angles

4) Alternate interior angles

5) Vertically opposite angles

Step-by-step explanation:

1) Adjacent angles;

Adjacent angles are angles that lie side by side to each other and have no common interior points

2) Alternate exterior angles are angles located on the opposite location of a transversal that crosses two lines and both are on the external region of the lines that are crossed by a transversal

Alternate exterior angles are equal where the two lines crossed by the transversal are parallel

3) Corresponding angles are angles located on corresponding side of a two lines that are crossed by a transversal

4) Alternate interior angles, are angles located on the opposite location of a transversal that crosses two lines and both are on the internal region of the lines that are crossed by a transversal

5) Vertically opposite angles, are angles formed on the opposite sides where two lines cross. Vertically opposite angles are always equal.

Select all the zeros of the function f(x)=(x+10)(x−5)(x+1).

– 10


– 5


– 1


0


1


5


10

Answers

Answer:

-10, -1, 5

To find the zeros of a function, you have to set each factor to zero in separate equations, and then solve for x.

x+10=0

Subtract 10 from each side

x=-10

x-5=0

Add 5 to both sides

x=5

x+1=0

Subtract 1 from both sides

x=-1

Tell how many solutions each equation would have: one solution, no solutions, or infinitely many solutions. Give a justification for your answer.

3x+6+1=2x+8+2x

Answers

Answer:

One solution

Step-by-step explanation:

X is equal to -1 meaning you can only plug in -1 for this equation to be true and not any other number

Every equation would have one solution.

3/8 of the seventh grade students were taking advanced math at the beginning of the year, but seven dropped out by the end of the year. if there were 149 students taking advanced math at the end of the year, how many total 7th grade students are there?

Answers

Answer:

416 I believe.

Step-by-step explanation:

add 7 to 149

divide 156 by 3 to get 1/8 of total.

Get 52 and then multiply by 8 to get 416

Find the length of side BC.
Give your answer to 1 decimal place.

Answers

Answer:

BC ≈ 11.9 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin58° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{14}[/tex] ( multiply both sides by 14 )

14 × sin58° = BC , thus

BC ≈ 11.9 cm ( to 1 dec. place )

The length of the side BC of the triangle is 11.58 units.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the angle of the triangle is 58 and the hypotenuse is 14 cm.

The side BC will be calculated as,

14 × sin (58°) = BC

BC = 11.58 units

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ2

The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.

Answers

Answer:

25.252

Step-by-step explanation:

23) 2,747
What’s the quotient

Answers

Answer:

119.434783

Step-by-step explanation:

Long division.

Lcm of 6 and 28 pls help

Answers

Answer:

84

Step-by-step explanation:

It’s 84
Because 28•3=84
And 6•14=84

Work out the mean of these numbers:
root 27, root 48, root 75
give your answer in the form a root 3 where a is an integer

Answers

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify the radicals

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

[tex]\sqrt{75}[/tex] = [tex]\sqrt{25(3)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Now mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

mean = [tex]\frac{3\sqrt{3}+4\sqrt{3}+5\sqrt{3} }{3}[/tex] = [tex]\frac{12\sqrt{3} }{3}[/tex] = 4[tex]\sqrt{3}[/tex]

Camila is competing in a 26-mile race. She runs at a constant speed of 12.5 mi/h. Write an equation in slope intercept form to represent
the distance Camila has left to run after x hours. How many hours will it take her to finish the race?

Answers

Answer:

2.08 or 2

Step-by-step explanation:

26 = 12.5x

y=mx+b

it will approximately take  2 hours, but to be exact, 2.08

Choose the possible correct names for the highlighted angle. (There are
more than one correct answers) ****picture

Answers

C and D you follow the corners

Two complementary angles are in the ratio 7 :11. Find the angles

Answers

Answer:

7x+11x=90

18x=90

x=5

one angle = 35 degrees

another angle = 55 degrees

Step-by-step explanation:

Dereck spends $3 on breakfast and 5.50 on luch every school day.How much does he spend on breakfast and lunch in a school week (monday-friday)​

Answers

Answer:

$42.50

Step-by-step explanation:

3 + 5.5 per day = 8.5

8.5 x 5 days per week = $42.50 per week (mon-fri)

Can someone help me out please txt 100 points no problem

Answers

Answer:

trigonometry: a^2+b^2=c^2

7= slant

4= half of base (8/2)

[tex] {7}^{2} + {4 }^{2} = \sqrt{65} [/tex]

[tex] \sqrt{65} = 8.06[/tex]

he is 6.5 so yeah he can fit

Can somebody please help me ?? :)

Answers

Answer:

first option

Step-by-step explanation:

Multiplying a complex number by its conjugate gives a real number and thus removes imaginary numbers in the denominator.

If z = a + bi then its conjugate is a - bi and their product

(a + bi)(a - bi) → where a and b are real

= a² + b² ← a real number

You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation 10x+12y=300 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.

Answers

Question:

a. Graph the equation.

b. Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order.

Answer:

See attachment for graph

12 long-sleeved shirts

Step-by-step explanation:

Given

[tex]10x + 12y = 300[/tex]

Plotting the graph:

Set x = 0

[tex]10(0) + 12y = 300[/tex]

[tex]12y = 300[/tex]

[tex]y = 300/12[/tex] --- divide through by 12

[tex]y = 25[/tex]

Set x = 0

[tex]10x + 12(0) = 300[/tex]

[tex]10x = 300[/tex]

[tex]x = 300/10[/tex] --- divide through by 10

[tex]x = 30[/tex]

So, the graph will be plotted using: (0, 25) and (30, 0)

See attachment for graph

Determine y when x = 12

[tex]10x + 12y = 300[/tex]

[tex]10(12) + 12y = 300[/tex]

[tex]120 +12y = 300[/tex]

[tex]12y = 300 - 120[/tex] --- collect like terms

[tex]12y = 180[/tex]

[tex]y = 180/12[/tex] -- solve for y

[tex]y = 15[/tex]

1 over 7 of 2 over 5 is equal to​

Answers

Answer:

2/35

Step-by-step explanation:

1 over 7 is 1/7, of means times, and 2 over 5 is 2/5, so 1/7*2/5

Hope that this helps!

-14/2 is = to what number my brain is saying no to math today.

Answers

Answer:

the answer would have to be -7

Consider the diagram below.

1) The measure of 2) The sum of m

Answers

Answer:

<a=61 m<c and m<b=90

Step-by-step explanation:

Find the m∠IHQ if m∠IHG is 176° and m∠QHG is 130°

Answers

is there a picture for this because i need to know if it’s a supplementary angle or circle , etc

find out the value of x in the following polygon ​with the formula

Answers

Answer:

50

Step-by-step explanation:

ABCD is quadrilateral. Sum of all the angles in a quadrilateral is 360. This means angle ADC will be 130.

ADE is a straight line. Angle ADC and angle CDE should sum up to 180. From here we can infer that angle CDE=x is 50

4 times a number equal 5 less than a number times 8.

Answers

Answer:

4n=8n-5

Step-by-step explanation:

Answer:

Let the number be x

As per statement, 7 less than 4 times a number equals 13

4x - 7 = 13

4x = 13 + 7

4x = 20

x = 20 / 4

x = 5

The number is 5

Answer the number is 5

Let us check the correctness of answer by following the statement viz 7 less than 4 times a number equals 13

4 × 5 - 7 = 13

20 - 7 = 13

13 = 13

Means answer is correct

Step-by-step explanation:

Explain how do you know when an equation is completely solved.

Answers

When u can no further simplify it or when u can solve it back by redoing the steps backwards

Estimate.

509 × 36
help plz!

Answers

Estimated it might be about 18,300?

Answer: ≈20,400

Explanation:

Theoretically, you'd bring 509 up to 510 and 36 up to 40.

510 x 40= 20,400

Sorry if I'm wrong ^^

Why is 3+(-5) equal to -2

Answers

Answer:

c

Step-by-step explanation:

Here's an example: 3/5 divided by 7/8.

   3/5

  _____

   7/8

Let's do it WRONG, to see why that's bad. Here's our example, multiplied by something that ISN'T equal to one:

   3/5      1       3/5      3/5

  _____ * _____ = _______ = ______ = 3/5

   7/8     8/7     56/56      1

Multiplying 7/8 by 8/7 turns our denominator into 1, which seems helpful. But it leaves us with the same numerator we started with. Can this be right? Is 3/5 divided by 7/8 equal to 3/5 divided by one, so that 7/8 = 1? Oops, that has to be wrong.

For comparison, here's the RIGHT way:

   3/5     8/7     24/35     24/35

  _____ * _____ = _______ = _______ = 24/35

   7/8     8/7     56/56       1

In this case, what we multiplied by, 8/7 divided by 8/7, is equal to one, because anything divided by itself is equal to one. But 1 over 8/7, which we used up above in the first example, is NOT equal to one, which means that if we use 1 over 8/7, we change our question. We may get an answer, but it won't be the right one.

Given the function f(x) = 5x -1, what is the value of f(4)?
O 1
019
O4
-1
N

Answers

The answer is 19....
Other Questions
Find the value of x. Calculate the slope between the points: (4, -3) and (4,7) *m = 0.5m = undefined slopem = -1.25m = 0 Okay someone help me During the staff meeting, the performance of BJ is discussed. BJ works hard but received a poor customer rating, and the manager is told to figure it out or fire BJ. Which of the following would be the best approach to try to improve BJs performance? PLEASE HELP WILL MARK BRAINLIEST Using four or more complete sentences, describe why an aging population has caused a shortage of workers in Singapore. PLEASE MAKE THE ANSWER SCHOOL APPROPRIATE who is the first president of america? Neutral colors can be found on the color wheel.TrueFalse q-10=6(r+1) rearrange the equation so r is the independent variable which one of the following is the highest level of environmental organzation? In what ways are the characters in the film similar to the characters in the play PLS HELPTaking notes allows a listener toO stick to original ideas.O organize thoughts,O avoid asking questions.O forget information. is firm connective tissue that holds bones together.heartbonesjointscartilage what are all the non-metals element names? and what are there properties?what are all the metalloids element names? and what are there properties? I.In the greenest of our valleys,By good angels tenanted,Once a fair and stately palaceRadiant palacereared its head.In the monarch Thoughts dominionIt stood there!Never seraph spread a pinionOver fabric half so fair.II.Banners yellow, glorious, golden,On its roof did float and flow;(Thisall thiswas in the oldenTime long ago)And every gentle air that dallied,In that sweet day,Along the ramparts plumed and pallid,A winged odor went away.III.Wanderers in that happy valleyThrough two luminous windows sawSpirits moving musicallyTo a lutes well-tund law,Round about a throne, where sitting(Porphyrogene!)In state his glory well befitting,The ruler of the realm was seen.IV.And all with pearl and ruby glowingWas the fair palace door,Through which came flowing, flowing, flowing, And sparkling evermore,A troop of Echoes whose sweet dutyWas but to sing,In voices of surpassing beauty,The wit and wisdom of their king.V.But evil things, in robes of sorrow,Assailed the monarchs high estate; (Ah, let us mourn, for never morrowShall dawn upon him, desolate!)And, round about his home, the gloryThat blushed and bloomedIs but a dim-remembered storyOf the old time entombed.VI.And travellers now within that valley,Through the red-litten windows, seeVast forms that move fantasticallyTo a discordant melody;While, like a rapid ghastly river,Through the pale door,A hideous throng rush out forever,And laughbut smile no more.Does this selection use the same rhyming pattern all through out?Group of answer choicesYesNoFlag question: Question 21Question 214 ptsWhat happens to Roderick's sister during the time the narrator is there?https://etc.usf.edu/lit2go/147/the-works-of-edgar-allan-poe/5312/the-fall-of-the-house-of-usher/ (Links to an external site.)Group of answer choicesHis sister dies and they call a doctor.His sister runs off and they seek to find her.She appears to have died and the narrator and Roderick place her in the family tomb. Marcy decided to start a new business of walking dogs. She designed a flier to advertise her business to her neighbors. She had 100 fliers printed. The copy center charged 7 per copy for the first ten copies and then 5 for each additional copy. What was the total cost of the fliers? Express 500 g as a percentage of 2.5 kg. What do you mean by development regions ? Hi I'm doing a survey for school and wanted some of y'all to help answer pls. I need lots of answers or responses on this pls. What is your favorite ice cream flavor?A) VanillaB) ChocolateC) Strawberry D) Mint Chocolate E) Other A hyena can run one over four of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in miles per hour? (5 points)one-fourth mile over twenty-two point five seconds = 40 miles per hourtwenty-two point five seconds over one-fourth mile = 40 miles per hourone-fourth mile over twenty-two point five seconds = 90 miles per hourtwenty-two point five seconds over one-fourth mile = 90 miles per hourI basically just need to know which equation it is. I know its 40 miles per hour. Which of the following best completes the sentence? Fossil fuels are primarily usedA to produce steel. to make electronicsC to make consumer products like aluminum cans and plasticsD to generate energy