Solve the triangle. Round to the nearest tenth.
39°
16
84°
B

Solve The Triangle. Round To The Nearest Tenth.391684B

Answers

Answer 1

Answer:

A. m<C = 57 degrees, a = 12, b = 19

Step-by-step explanation:

First we can start by calculating Angle C by using the rule that all interior angles of a triangle always add to 180 degrees:

180 - (39+84) = C

180 - 123 = C

C = 57

Now let's calculate side a. We can do this by using the sin rule: [tex]\frac{sin A}{a}=\frac{sin C}{c}[/tex]

According to the diagram we know that Angle A is 39 degrees, Angle C is 57 degrees, and side c is 16 so we can substitute these values into the formula and solve:

[tex]\frac{sin39}{a} =\frac{sin 57}{16} \\\\\frac{0.629320}{a} =\frac{0.838671}{16}\\\\0.629320=0.052417a\\0.629320/0.052417=a\\a= 12[/tex]

We can use the same method to solve for side b:

[tex]\frac{sin84}{b} =0.052417 \\0.994522=0.052417b\\0.994522/0.052417=b\\b= 19[/tex]

We now have the following values:

Angle C = 57 degrees, a = 12, b = 19

We can now see that A/Number 1 is the correct option.

Hope this helped!


Related Questions

In Ronna’s class, the ratio of boys to girls is 2:3. In Suzie’s class, there are half as many girls as in Ronna’s class. If there are 12 boys in Ronna’s class, how many girls are in Suzie’s class?

Answers

Answer:

4

Step-by-step explanation:

2:3

4:6

6:9

8:12

8 girls in Ronna’s class

Half of 8 is 4

Consider the line y = 8x-2.
Find the equation of the line that is parallel to this line and passes through the point (3, -2).
Find the equation of the line that is perpendicular to this line and passes through the point (3,-2).
Note that the ALEKS graphing calculator may be helpful in checking your answer.

Answers

Answer:

parallel line: y = 8x - 26

perpendicular line: y = -1/8 x - 13/8

Step-by-step explanation:

1.

Lines are parallel, so slopes are equal, and y-intercepts are different.

Given line:

y = 8x - 2

New line:

y = 8x + b

Use point (3, -2) and solve for b.

-2 = 8(3) + b

-2 = 24 + b

b = -26

Equation: y = 8x - 26

2.

Lines are perpendicular, so slopes are negative reciprocals.

Given line:

y = 8x - 2

New line:

m = -1/8

y = -1/8 x + b

Use point (3, -2) and solve for b.

-2 = -1/8 × 3 + b

-2 = -3/8 + b

b = -16/8 + 3/8

b = -13/8

Equation: y = -1/8 x - 13/8

HEEEELPPPP IT IS FOR TODAY!!!

Write the equation of a line that goes through the points (12, 22) and (7, 12). Type your slope and y-intercept into the blanks below to complete the equation. Do not use any spaces.

Answers

Answer:

Step-by-step explanation:

1. Find the slope of the line using the formula (change in y/change in x)

(12-22)/(7/12)=2

2. Find the y intercept by plugging in one coordinate point and the slope into the slope-intercept form.

Formula: y=mx+b Coordinate: (12, 22)

22=2(12)+b

22=24+b

b=-2

3. Put the equation together given slope and y-intercept.

y=2x-2

parallel abcd is similar to parallelogrem efgh. what is the lenght of gh?

Answers

The value of side GH as shown in the parallelogram is 2 units

What is an parallelogram?

Parallelogram is a polygon that has four sides (quadrilateral) and opposite sides are always equal and parallel to each other

Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are proportional. Also, their corresponding angles are equal to each other.

Parallelogram abcd is similar to parallelogram efgh, hence:

FG/BC = GH / CD

substituting:

7/21 = GH / 6

GH = 6 * 7/21 = 2

GH is 2 in

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Elizabeth went to the candy store and wanted to use the dimensional analysis she had learned in class that day. She only had a certain amount of money to spend. In terms of price, she figured out the following conversion factors: 2 lollipops = 8 gumballs 11 gumballs = 8 lemonheads 14 lemonheads = 16 redhots If Elizabeth knows she could buy 18 lollipops, how many redhots could she buy for the same amount of money?

Answers

Answer: 315,392

Step-by-step explanation: this took me some time but I multiplied multiple times each time and I got this I hope it’s correct.

Btw I multiplied 2 times 8 then multipled with 11 then multipied 172 times 8 then multiplied by 14 and got 19,712. Then, I multiplied 19,712 by 16 and got 315,392

I had to edit cause I miscalculated :/ anyways I hope this is correct

In the school cafeteria there are 20 seats at each table.
How many tables are needed for 250 students?

Answers

Answer:

12.5

Step-by-step explanation:

you can solve this by dividing 250/20=12.5

After a 40% discount, The price of a T-shirt with $30. What was the price before the discount?

Answers

Answer:

Mizuki is on the way to help!

The original price was $50!

Step-by-step explanation:

This is the way I did it, I don't know if your going to do it this way so use it as an refrence!

10 - 4 = 6

30 ÷ 6 = 5

5 x 10 = 50

Answer:

$50.00

Step-by-step explanation:

This is because 30 is 60% of 50. (100% - 40% = 60%)

You can verify this answer by calculated 40% of 50, which is 30.

Hope this helps!

Given K (9,-9), L(2,-2), M(-9,-5), and N (5, y). Find y such that
KL_|_MN.

Answers

On solving the provided question, we cans say that - here in coordinates S is given by: [tex](-2,4)[/tex]

what are coordinates?

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

x-coordinate of [tex]X = -2[/tex]

y-coordinate of[tex]S = 4.[/tex]

S is given by: [tex](-2,4)[/tex]

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On solving the provided question, we cans say that - here in coordinates S is given by: (-2,4)

what are coordinates?

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

x-coordinate of -2

y-coordinate of 4

S is given by: (-2,4)

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A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
O 31 units
O 39 units
O 41 units
O 49 units
Mark this and retum
Save and Exit
Next
Submit
rs/AssessmentViewer/Activit.

Answers

Answer:

41 units

Step-by-step explanation:

Use the Pythagorean Theorem

c^2 = a^2 + b^2

c^2 = 9^2 + 40^2

c^2 = 81 + 1600

c^2 = 1681

Take the square root of both sides

c = 41

The length of the diagonal is 41 units

What is Pythagoras' rule?

The Pythagoras' rule states that the sum of the hypotenuse squared is equal to the sum of both the opposite squared and the adjacent squared.

i.e

hyp² = opp² + adj²

The shape of the rectangle takes a right angle triangle with the:

hypotenuse = diagonal of the rectangleopposite = length of the rectangleadjacent = width of the rectangle

hyp² = 40² + 9²

hyp² = 1600 + 81

hyp² = 1681

hyp = [tex]\mathbf{\sqrt{1681}}[/tex]

hyp = 41 units

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Pls help me, if you get it right I will give you Brainlist!​

Answers

Answer:

370 m²

Step-by-step explanation:

Front and back

a = 2(11 * 6)

a = 132 m²

Right and left sides

a = 2(7 * 6)

a = 84 m²

Top and bottom

a = 2(11 * 7)

a = 154 m²

______________________

total

a = 132 + 84 + 154

a = 370 m²

Practice Test
Flashcards
Stu
Question 4 Mathematics Practice Test for the TEAS
Solve the equation and choose the best answer:
9
6
6
4
7
C
6

Answers

Answer:

Where is the equation??

Find the x of =3(x+1)=12

Answers

Answer:

x = 3

Step-by-step explanation:

Answer:

it’s in the picture

Step-by-step explanation:

I hope it helps

Which of the points (s, t) is inside the shaded region of the set of inequalities
shown below?
SS10 -0.331
s 2 10 - 1
s 25 - 7
s20
t20
A. (-5,5)
B. (12,5)
C. (3,2)
D. (12,-9)

Answers

Answer: (12,5)

Step-by-step explanation: For that class you can't do

The points (s, t) is inside the shaded region of the set of inequalities shown is, (3, 2)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

All the inequalities are,

S < 10 - 0.33t

S < 12 - t

S > 5 - t

S > 0

t > 0

From option B;

Point = (3, 2) = (s, t)

Put s = 3 , t = 2, we get;

S < 10 - 0.33t

3 < 10 - 0.33 x 2

3 < 10 - 0.66

3 < 9.34

Hence, The points (s, t) is inside the shaded region of the set of inequalities shown is, (3, 2)

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Find the inverse of the function.
y = x + 1
Write your answer in the form ax + b. Simplify any fractions.
y =

Answers

f^-1 (x)= x - 1

that’s what i got, i’m not too sure

Simplify (- -)--).
- | D)
21
32
© 21
|
32

Answers

Answer:

(- -)--).- | D)2132© 21|32 is not an equation i'm pretty sure

Step-by-step explanation:

solve right tringle if BC = 83 and A = 40

Answers

Answer:

Step-by-step explanation:

What is sin 30°?
60°
2
2
1
90°
30°
3

Answers

According to the property of cofunctions, [tex]$\sin 30^{\circ}$[/tex] exists equivalent to

[tex]$\cos 60^{\circ} \cdot \sin 30^{\circ}=1 / 2$[/tex].

What is cofunction?

A trigonometric function whose value for the complement of an angle exists equivalent to the value of a given trigonometric function of the angle itself the sine exists the cofunction of the cosine.

According to the property of cofunctions, [tex]$\sin 30^{\circ}$[/tex] exists equivalent to

[tex]$\cos 60^{\circ} \cdot \sin 30^{\circ}=1 / 2$[/tex].

Therefore, the correct answer is option B. 1/2.

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A truck spilled 1000 gallons of asphalt on the 5 freeway. Come up with a way to approximate the cost of the clean up

Answers

I subway yahquissiisn

PLEASE HELP ME, EASY MATH QUESTION !!!! (no links), beainliest xtra points profile thanks, thanks, 5star rating ((IF CORRECT))

This data set shows all of the scores Jane earned on her math tests.

{80, 90, 90, 92, 94,95, 95, 97, 98, 98, 100, 100}

Jane removes her lowest score from the data set.

How are the mean and median test scores affected?

Select from the drop-down menus to correctly complete the statements.

The mean score ____.

A) Increases
B) Decreases
C) Stays the same

The median score ____.

A) Increases
B) Decreases
C) Stays the same

Answers

Answer:

1) A) Increases

2) C) Stays the same

Step-by-step explanation:

1) A) Increases (94 to 95)

2) C) Stays the same (95)

Find the value of x.

Answers

Answer:

76 don't know how to explain it

your answer should be 121.

when finding the exterior angle, a good thing to keep in mind would be the exterior angle theorem: m<1 = m<2 + m<3z

if you are given the measurements of the angles INSIDE the triangle, it would equal the exterior angle.

hope this helped!

7, 12, 15
Right traingle????

Answers

Answer:

No, it is not a right triangle.

anoheeeeeeeeeeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer: [tex]\frac{29}{6}[/tex]

Step-by-step explanation:

To make an improper fraction, make the whole number into a fraction with the denominator 6. We do this because we want the fraction and the whole number to have the same denominator, so we can later add them together.

To do this, multiply 4 by 6:

[tex]\frac{4 }{6}[/tex] * [tex]\frac{6}{1}[/tex] = [tex]\frac{24}{6}[/tex]

Then, add [tex]\frac{24}{6}[/tex] and [tex]\frac{5}{6}[/tex] together

[tex]\frac{24}{6}[/tex] + [tex]\frac{5}{6}[/tex] = [tex]\frac{29}{6}[/tex]

Find the median of the following data set. 1 1/4,5/8 ,3/5 ,1/2 ,1 1/2, 1 3/4
1. 7/8
2. 15/16
3. 5/6

Answers

Answer:

1. 7/8

Step-by-step explanation:

The figure shown is a rectangle with a semicircle on each end. What is the area of the
figure? Use 3.14 for 7 and round your answer to the nearest tenth.

Answers

9514 1404 393

Answer:

  (c)  76.3 in^2

Step-by-step explanation:

From the offered selections, you can make an informed choice with a simple estimate.

The overall length of the figure is 8+6 = 14 inches, and its width is 6 inches. The area will be smaller than a 14 × 6 = 84 square inch rectangle, and larger than the central rectangle of 8 × 6 = 48 square inches.

The only choice in the range 48 to 84 square inches is the correct one:

  76.3 square inches

__

If you'd like to figure it out, the area is the sum of the 48 square inch central rectangle and the (π/4)(36 in^2) ≈ 28.26 square inch circle. That total, rounded to tenths, is 76.3 square inches.

make this equation true using grouping symbols.

39 + 5 - 3^2 = 13

Answers

ax + by = 6000 and a + 5 = b are two equations that might be used to calculate how many soup cans and frozen dinners were purchased.

What is an equation?

There are several methods to define a formula. A mathematical statement that establishes the equivalence of two mathematical expressions is the definition of an equation in algebra. This is best shown by the formula 3x + 5 = 14. In this instance, the word equal comes between the phrases 3x + 5 and 14. Even the most basic algebraic equations include the usage of mathematical variables.

X now has 300 mg of sodium in it.

[tex]x = 300[/tex]

Y also has 450 mg of sodium in it.

[tex]y = 450[/tex]

Samuel reportedly buys five more frozen dinners than soup cans, and they all have a combined salt content of 6000 mg.

Let the number of frozen dinners be "b," and the number of soup cans be "a."

ax + by = 6000

a(300) + b(450) = 6000 .

Samuel bought 5 more frozen dinners than soup cans, according to the inquiry, which results in equation

[tex]a + 5 = b \\a(300) + (a + 5)(450) = 6000\\300a + 450a = 6000 - 2250\\ 750a = 3750\\ a = 3750/750\\ a = 5\\5 + 5 = b\\ b = 10[/tex]

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Which shows how to use similar right triangles to find the equation of the line through (0,b) and any point (x, y), on the line?

Answers

Answer: b

Step-by-step explanation:

Esh

Estimate how many liters of air you breathe in one year. To calculate your estimate, you must make assumptions.
1. Assume it takes 10 breathes to blow up a balloon the size of a two-liter bottle.
2. Assume 10 breathes per minute.
A)
500,000 liters
B)
1,000,000 liters
)
2,500,000 liters
D)
10,000,000 liters

Answers

Answer: 1,000,000

Step-by-step explanation: USA test prep

he heights of young women aged 20 to 29 follow approximately the N(64, 2.7) distribution. Young men the same age have heights distributed as N(69.3, 2.8).Height is measured in inches.A young woman in that age group is randomly selected; independently, a young man in that age group is randomly selected. What is the probability that the young man is taller than the young woman by more than 5 inches

Answers

Answer:

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Distribution of the difference in height between men and woman:

Applying the concept above:

[tex]\mu = 69.3 - 64 = 5.3[/tex]

[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]

What is the probability that the young man is taller than the young woman by more than 5 inches?

Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 5.3}{3.89}[/tex]

[tex]Z = -0.08[/tex]

[tex]Z = -0.08[/tex] has a pvalue of 0.4681

1 - 0.4681 = 0.5319

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

What type of correlation does the following have? The age of a person vs. The
last four digits of their phone number.

Answers

Answer:

no correlation

Step-by-step explanation:

HELP PLS!!! Determine the type of triangle that is drawn below. ​

Answers

Answer:

Isosceles right triangle

Step-by-step explanation:

Right isosceles has a 90° degree angle with two other sides 45° each

Answer: Isosceles Right

===========================================================

Explanation:

Sides AB and AC are the same length (5.61), so the triangle is isosceles. If all three sides were the same, then it would be equilateral, but side BC is a different length of the first two sides mentioned. If all sides were different, then the triangle would be scalene.

Angle A is 90 degrees, making it a right angle. That means triangle ABC is also a right triangle. The triangle would be acute only when all three angles are less than 90. If any angle is greater than 90, then the triangle is obtuse.

So put together, triangle ABC is both isosceles and a right triangle, or in short we could say "triangle ABC is an isosceles right triangle".

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