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

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

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!

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.

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

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 ^^

-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:

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

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

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:

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.

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:

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)


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:

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:

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:

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

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

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]

23) 2,747
What’s the quotient

Answers

Answer:

119.434783

Step-by-step explanation:

Long division.

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

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....

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

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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

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.

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

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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

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

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