Use the law of cosines to find the length of a

Use The Law Of Cosines To Find The Length Of A

Answers

Answer 1

Answer:

Step-by-step explanation:

You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:

[tex]\frac{sin55}{175}=\frac{sin42}{a}[/tex] and solving for a:

[tex]a=\frac{175sin42}{sin55}[/tex] so

a = 143.0


Related Questions

Find the surface area of the space figure represented by the net.

245.5 cm2

263 cm2

173.5 cm2

191 cm2

Answers

Answer:

B. 263 cm²

Step-by-step explanation:

Surface area of the figure represented by the net = area of all parts of the net which consists of 3 rectangles and 2 triangles

✔️Area of the first two equal rectangles = 2(L*W)

L = 12 cm

W = 6 cm

Area of the first two equal rectangles = 2(12*6)

= 144 cm²

✔️Area of the third rectangle = L*W

L = 12 cm

W = 7 cm

Area = 12*7

= 84 cm²

✔️Area of the two equal triangles = 2(½*b*h) = b*h

b = 7 cm

h = 5 cm

Area = 7*5

= 35 cm²

✔️Surface area of the space figure = 144 + 84 + 35

= 263 cm²

help please!! where do the points go?

Answers

Answer:

See below.

Step-by-step explanation:

You can graph by finding ordered pairs for each function.

QUICK I NEED HELP! I WILL MARK BRAINLIEST!

Answers

Answer:

Mean=7.7

Median=7

Mode=10 and 6

Range=7

Answer:

Mean = 7.7

Median = 7

Mode = 6 and 10

Step-by-step explanation:

Arrange the data in ascending order :

4 , 6 , 6 , 7 , 10 , 10 , 11

Mean is the sum of the data by number of data.

[tex]Mean = \frac{ 4 + 6 + 6 + 7 + 10 + 10+ 11}{7} = \frac{54}{7} = 7 . 7[/tex]

Median is the middle number.

[tex]Median = \ 7[/tex]

Mode most frequent value in the data

[tex]Mode = \ 6 \ and \ 10[/tex]

Considering recurring decimals, the fraction 20⁄3 can be expressed as
7.77
6.66
3.66
9.88

Answers

Answer:

20/3=6.6666666666

Step-by-step explanation:

mark me brainliest

which inequality is represented by this graph

Answers

Answer:

[tex]x\geq -53[/tex]

Step-by-step explanation:

Answer:

x ≥ -53

Step-by-step explanation:

Here is a trick the arrow is going to the right so the arrow in the inequality must go to the right and if the circle is closed there must be a line under the arrow in the inequality.

Can I get Brainliest please!

Which of the following represents the range of the graph below?
10l
- 10
10
- 10

Answers

Answer:

y>0

Step-by-step explanation:

The range is the values the y can take

We see that y is greater than  zero

y>0

convert the surveyor's bearing 145° to a compass bearing​

Answers

Answer:

S55°E is the compass bearing

Step-by-step explanation:

145° - 90° = 55°

The bearing will be in between South and East because from North to South is 180° and 145° is bigger than 90°

Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
A. equal to
B. less than
C. greater than

Answers

Answer:

Option C.

Step-by-step explanation:

Answer:

C.    greater than

Step-by-step explanation:

Since 8/7 is greater than 1

multiply it by 12 will result in a larger number.

what are the steps to this?

Answers

Answer:

B=112

Step-by-step explanation:

Angle B is on the same line as angle A(68). They would need to combine for a total of 180 degrees. So 68-180=112

Answer:

b = 112°

Step-by-step explanation:

The two angles from a straight line. so, they add to 180° .

b + 68° = 180°

subtract 68° from each side

b + 68° - 68° = 180° - 68°

b = 112°

Anyone know the answer ?!? Let me know please !!!

Answers

Answer:

25/35 = .71 = 71%

Step-by-step explanation:

Which is equivalent to 38*?
o

Answers

8³x

[tex] \sqrt[3]{83} [/tex]

d

find the T.A for the prism​

Answers

Answer:

I dont know

Step-by-step explanation:

I have no clue I know nothing about math

I don’t understand the problem or question

Answers

Answer:

Part A

a. Could be a parallelogram but cannot be a rectangle

Part B

c. 100°

Step-by-step explanation:

Part A

The polygon constructed by Andrew = Four sided polygon having no right angles

From the given four sided polygon (quadrilateral) options, the options which can have no right angles are the parallelogram, and rhombus

The rectangle, and square both have 4 right angles

Therefore, the polygon can be either a parallelogram or a rhombus, but cannot be either a rectangle or square

The correct option is therefore, 'His polygon could be a parallelogram but cannot be a rectangle'

Part B

The given parameters of the rhombus EFGH are;

Angle E = 3·x + 5, angle H = 4·x

The characteristics of a rhombus are;

The sum of the interior angles of a rhombus = 360°

The opposite angles of a rhombus are equal

The sum of the adjacent angles = 180° (The adjacent angles are supplementary)

Therefore, in the rhombus EFGH, we have;

Angle E, and angle H are supplementary angles

∴ Angle E + angle H = 180°

Substituting the values of angle E and angle H gives;

3·x + 5 + 4·x = 180°

7·x = 180° - 5 = 175°

x = 175°/7 = 25°

Angle H = 4·x

∴ Angle H = 4 × 25° = 100°

Angle H = 100°

Angle F = angle H = 100°

Therefore, angle F = 100°

30 points for 3 questions plz help I will give brainlist if the 3 answers are correct

Answers

Answers:

6.) B

7.) C

8.) B

4 people can paint a house in 6 hours.
a)
How long would it take 1 person to paint the house?

Answers

Answer:

24 hours

Step-by-step explanation:

4 people can do the work in 6 hours

4*6 = 24 work hours

It will take 1 person 24 work hours to complete the job

Answer:

24 hours

Step-by-step explanation:

This question is a tricky one, but easy to solve at the same time. Normally the answer to this question would be 1 person = 24 (blank). But since we are talking about time, unit rates would not help very much. Multiply 4*6=24. It would take one person (assuming he goes as fast ad the others) 24 hours to complete the job.

(First correct answer will get brainliest) Find the value of x that makes CDE FGH

Answers

Answer:

x =3

Step-by-step explanation:

We can use a ratio to solve

4x         18

------ = ----------

18         27

4x*27 = 18*18

108x=324

Divide each side by 108

x =3

Find mZSGH if mZFGH = 108°

Answers

Answer:

22

Step-by-step explanation:

FGH - FGS = SGH

108 - 86 = 22

Answer:

∠ SGH = 22°

Step-by-step explanation:

∠ FGS + ∠ SGH = ∠ FGH , that is

86° + ∠ SGH = 108° ( subtract 86° from both sides )

∠ SGH = 22°

Set up an equation and solve for x

Answers

Answer:

x = -10

Step-by-step explanation:

verticle angles are congruent

80 + x = 70

Subtract 80 from both sides

x = -10

Isabella worked 50 hours over the past two weeks, and she gets paid by the hour. During the first week of the two-week span, she worked 30 hours and got paid $285.00. How much did she get paid during the second week of the two-week span? $114.00 $190.00 $427.50 $475.50

Answers

Answer:

$190.00

Step-by-step explanation:

285÷30=9.5

9.5×20=190

Hope this helps! :)

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer: X= 25 degrees

Step-by-step explanation:

A triangle is 180 degrees.

115+40=165

180-165=25 degrees

what is the length of AB​

Answers

Answer:

I think the answer is 6.6


6. The diagram on the right shows right-angled triangles POR
and PRS. Given that tan 0 =
3
4
in em, the length of
(a) PR
(b) RS
Q
9 cm
R

Answers

Answer:

The answer is below

Step-by-step explanation:

Trigonometric ratios shows the relationship between the sides of a right angled triangle and its angles. Some trigonometric ratios are:

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent.

In triangle PQR:

tanθ = QR / PQ

substituting gives:

3/4 = 9 / PQ

PQ = 9 * 4 / 3 = 12 cm

Applying Pythagoras in triangle PQR gives:

PR² = PQ² + QR²

PR² = 12² + 9²

PR² = 144 + 81 = 225

PR = 15 cm

Also in triangle PRS:

PS = (5/3)PR = (5/3)*15 = 25 cm

PS² = PR² + RS²

25² = 15² + RS²

625 = 225 + RS²

RS² = 400

RS = 20 cm

If 12 rolls of toilet paper cost $4 how many rolls of toilet paper can you buy for $8?

Answers

Answer:

24 rolls

Step-by-step explanation:

12 rolls           x rolls

------------  = ------------------

4 dollars           8 dollars

Using cross products

12*8 = 4x

96 = 4x

Divide by 4

96/4 = 4x/4

24 =x

24 rolls

Is Social Darwinism a justifiable reason to colonize other areas of the world and exploit the people and resources of that region?

Answers

Answer:

Social Darwinism provided an ideological justification for the social inequalities that capitalism had brought with it: these would result from the hereditary inferiority of the poor and the hereditary excellence of the richer classes, which are best enjoyed under a laissez-faire system. Applied to peoples and races, it became a justification for racism and imperialism.

As can be seen, social Darwinism is a retrograde political and philosophical stance, which considered different ethnic or national groups as different in terms of capacity or development possibilities. Therefore, since this position has been regarded as false, social Darwinism has no justification in our time.

Consider the trapezoid shown below.
6 in.
4 in.
6 in.
6 in.
(not drawn to scale)

Answers

Answer:

36

Step-by-step explanation:

1/2bh

1/2 (6*4) =12

Considering there are three triangles we will multiply by 3

12*3=36

Find the zeros of each quadratic function using any method.
f(x)=(2x+1)(x-3)

Answers

Answer:  x = -1/2    or   x = 3

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

Explanation:

Set each factor equal to zero and solve for x. This is using the zero product property.

(2x+1)(x-3) = 0

2x+1 = 0    or    x-3 = 0

2x = -1     or    x = 3

x = -1/2    or   x = 3

If you graphed the function, you should see that it crosses the x axis at -1/2 and at 3.

Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how ""just angles"" or ""just sides"" is not enough.

Answers

Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°

Meaning of Congruent quadrilaterals

A quadrilateral can be defined as a polygon shape that possesses four sides.

Congruent quadrilaterals are those quadrilaterals that are similar in sides and angles.

For example, a parallelogram needs to be proved by both the sides and the angles

In conclusion, Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°

Learn more about Congruent quadrilaterals: https://brainly.com/question/224113

#SPJ1

4(x+1)=2x+4
what is the value of x?

Answers

Answer:

x=0

Step-by-step explanation:

4(x+1)=2x+4

Distribute

4x+4 = 2x+4

Subtract 4 from each side

4x+4-4 = 2x+4-4

4x= 2x

Subtract 2x from each side

4x-2x = 2x-2x

2x=0

Divide by 2

x =0

Answer:

x = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

Identify

4(x + 1) = 2x + 4

Step 2: Solve for x

Factor:                                                                                                               4(x + 1) = 2(x + 2)[Division Property of Equality] Divide 2 on both sides:                                 2(x + 1) = x + 2[Distributive Property] Distribute 2:                                                                 2x + 2 = x + 2[Subtraction Property of Equality] Subtract x on both sides:                         x + 2 = 2[Subtraction Property of Equality] Subtract 2 on both sides:                        x = 0

Broody is makeing trailmix for a hike he is takeing some friends. He used 6 cups of peanuts,4 cups of cashoe, 3 cups of choclate chips and 2 cups of raisins.Be mixed it all up and put a equal amount of trail mix into 5 bags.How many cups of trail mix did he put in each bag?

Answers

Answer:

The answer is 3.

Step-by-step explanation:

To answer this, you have to find the total amount of cups he had to begin with. You add the cups of peanuts, cashews, chocolate chips, and raisins together, which equals 15 cups. Then, he divided it evenly into 5 bags, which means he put 3 cups of trail mix into each bag.

Which situation best represents a proportional relationship?

Answers

Answer:

Option (3)

Step-by-step explanation:

Two variables 'x' and 'y' show the proportional relationship if,

y ∝ x

y = kx

Here, k = Proportionality constant

Option (1)

If Sandra sold 2 bracelets for $3 and 3 bracelets for $6.

For y = 3 and x = 2,

3 = 2k

k = 1.5

For y = 6 and x = 3

6 = 3k

k = 2

Here, proportionality constant is different in both the cases.

Therefore, Option A doesn't show the proportional relationship.

Option (2)

Jeff ran 4 miles in 20 minutes and 6 miles in 24 minutes.

For y = 20 and x = 4,

20 = 4k

k = 5

For y = 24 and x = 6,

24 = 6k

k = 4

Here, proportionality constant is different in both the cases.

Therefore, there is no proportional relationship.

Option (3)

Lamont packed 27 glasses in 9 cases and 81 glasses in 27 cases.

For y = 27 and x = 9

27 = 9k

k = 3

For y = 81 and x = 27,

81 = 27k

k = 3

Here, proportionality constant is k = 3 for both the cases.

Therefore. Option (3) is the answer.

Option (4)

Fernanda placed 8 pencils in 2 boxes and 16 pencils in 8 boxes.

For y = 8 and x= 2.

8 = 2k

k = 4

For y = 16 and x = 8,

16 = 8k

k = 2

Here, proportionality constant is different in both the cases.

Therefore, Option (4) is not the answer.

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