What is the length of side a? Round to the nearest tenth

What Is The Length Of Side A? Round To The Nearest Tenth

Answers

Answer 1

Answer:

○ [tex]\displaystyle 12,9[/tex]

Step-by-step explanation:

Use the Law of Sines to find the length of the second edge:

Solving for Angles

[tex]\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}[/tex]

Use [tex]\displaystyle sin^{-1}[/tex]towards the end or you will throw your result off!

Solving for Edges

[tex]\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}[/tex]

Let us get to wourk:

[tex]\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}[/tex]

I am joyous to assist you at any time.


Related Questions

I really need help on understanding how the exponents relate to each other ?

Answers

because after the exponents it devides

A group of students is riding in a bike tour. They have biked 15 miles, which is 25% of the tour. How long is the tour?

Answers

Answer:

60 miles

Step-by-step explanation:

25% of 60 = 15

Hoped this helped<33

Find the distance between A(5, -2) B(3, -6)

Answers

Answer:

Over 2 up 4

Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6

A 10" x 10" sheet of paper is cut diagonally into two congruent right isoscele
triangles. What is the area of each triangle?

Answers

Answer:

20

Step-by-step explanation:

.

Sarah and Lily mow lawns during the summer to earn money. Sarah
determined that she can earn between $6. 00 and $6. 25 per hour. Lily estimates
that she earns between $7. 50 and $8. 00 per hour. About how much more money will
Lily earn than Sarah if they each work 22 hours?

Answers

Answer:

21.75

Step-by-step explanation:

Because 6.00+6.25=12.25+7.00=19.75+8.00=27.75

Arnold borrowed $7890 at 11.5 percent for five years.

What is the amount of Arnold's total payment?


$11,580


$10,410


$9,520


$8,560

CAN SOMEONE PLEASE HELP ME ASAP IM STUCK

Answers

The answer is 9,520 I think

Claudius took out an unsubsidized stafford loan at the beginning of his six-year college career. the loan had a principal of $4,850, an interest rate of 6.5% compounded monthly, and a duration of ten years. if claudius started paying off the loan when he graduated, what is his monthly payment? round all dollar values to the nearest cent. a. $71.37 b. $81.25 c. $55.07 d. $76.55

Answers

Answer:

b.

$81.25

Step-by-step explanation:

taking it rn

Answer:

b 81.25

seen it on quizlet

Step-by-step explanation:

Triangle ABC is congruent to B triangle A"B"C".
Which sequence of transformations could have been used to transform triangle abc to produce triangle A'' B'' C''? transform triangle ABC triangle A"B"C"?
A. Triangle ABC was translated 7 units down and then 9 units right.
B. Triangle ABC was translated 10 units to the right and then reflected across the x Axis.
C. Triangle ABC was reflected across the x Axis and then translated 9 units right.
D. triangle ABC was reflected across the y Axis and then translated 7 units down. ​

Answers

Answer: D

Step-by-step explanation:

write down the next two terms of the number pattern 2,5,8,11,14

Answers

Answer:

17 and 20

Step-by-step explanation:

Write down the next two terms of the number pattern 2, 5, 8, 11, 14

Looking at the numbers, we can tell that they are increasing by 3:

2 + 3 = 5

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

Hope this helps!

17 and 20 because they are adding 3 every time so 14+3=17 and 17+3=20

Two years ago the Castillo family used $3,250 worth of electricity. Last year they switched to balanced billing averaged over 12 months. What was their monthly payment last year under balanced billing? During last year, they actually used $3,766 of electricity and their balanced billing payments were not enough to pay for their electrical usage. They had to pay the difference at the end of the year. How much did they owe the utility company?

Answers

The Castillo family made a monthly payment of $270.83 and they owed the utility company $516

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Two years ago the Castillo family used $3,250 worth of electricity. During last year, they actually used $3,766 of electricity, hence:

Monthly payment = $3250 / 12 = $270.83

Money owed = $3,766 - $3,250 = $516

The Castillo family made a monthly payment of $270.83 and they owed the utility company $516

Find out more on equation at: https://brainly.com/question/2972832

Help solve this circle

Answers

You're basically using the supplement angle to find the missing number.

Find the value of X and show your work.

Answers

[tex]3x-17+x+40+2x-5=180\\3x+x+2x-17+40-5=180\\6x+18=180\\6x=180-18\\6x=162\\x=27[/tex]Answer:

Step-by-step explanation:

Since the sum of all interior angles of a triangle sums up to 180.

If the scale factor here is 3 (k=3), and if the distance from A to B is 8 units, then what would be the distance from A’ to B’?

8

8/3

24

3

Answers

Distance between AB=8unitsScale factor=3=k

Distance between A'B':-

8k8(3)24

Option C

A chocolatier is creating chocolate truffles in the shape spheres. The truffles will be solid chocolate and have a radius of 2.5 cm. How much should each truffle weigh if chocolate weighs 0.71 grams per cubic centimeter? (round to the nearest tenth, if necessary)
The truffles will have a volume of [Answer] cubic centimeters and will weigh a total of [Answer] grams.

Answers

Answer: Volume: 65.4 Weight: 46.4

Step-by-step explanation:

Density describes mass per unit volume. The weight of each of the considered chocolate truffle is 46.47 grams approx.

What is density?

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

We're given that:

The chocolate weighs 0.71 grams per cubic centimeter. This is density of the considered chocolate, as it is telling that 0.71 grams of chocolate is available per cubic cm.The chocolate truffles are in shape of sphere with radius 2.5 cm

Volume of each chocolate truffle = volume of sphere with radius 2.5 cm

=  [tex]\dfrac{4}{3} \pi (2.5)^3 \approx 65.45 \: \rm cm^3[/tex]

One cubic cm has 0.71 grams weight,

so one truffle, which has 65.45 cubic cm of chocolate, will weigh approx[tex]0.71 \times 65.45 \approx 46.47 \: \rm g[/tex]

Thus, the weight of each of the considered chocolate truffle is 46.47 grams approx.

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Sketch a graph that shows the relationship between
grams of honey and grams of salt needed for a bakery
recipe. Show on the graph how much honey is needed
for 70 grams of salt.

help pls

Answers

Answer: 98g

Step-by-step explanation:Given relationshipSalt    >>  Honey  >> Flour10      >>  14          >> 425     >>  35        >> 10It is easy to determine that the relationship is:14/10 = 35/25 = 1.4y = 1.4x, where y- honey and x- saltIf x = 70, then y is:y = 1.4*70 = 98 g

Jackson recorded the following data: 2,5, X, 2, 4, 3. If the mean
of the data is 3, what is the value of x? Explain how you found your answer

Answers

Answer:

x = 2

Step-by-step explanation:

mean = sum of data / number of data

3 = 2 + 5 + x + 2 + 4 + 3 / 6

3 = 16 + x / 6

18 = 16 + x

2 = x

The missing value of data is 2.

What is arithmetic Mean?

The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

We have,

Data: 2,5, X, 2, 4, 3

Mean= 3

So, Mean

3 = Sum of data/ Total number of data

3 = (2 + 5 +x + 2 + 4 +3)/ 6

18 = 16 + x

x = 18 - 16

x= 2

So, the missing value of data is 2.

Learn more about Arithmetic Mean here:

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#SPJ2

Tina buys 5 pounds of potatoes for $4. 35 and 3 pounds of carrots for $3. 57 how much does 1 pound of potatoes cost

Answers

Answer:

1 pound of potatoes costs $0.87

Find the area of the trapezoid. {?} Square centimeters

Answers

Answer:

68

Step-by-step explanation:

Use the formula provided...

6 and 11 are b1 and b2, and 8 is h.

So, 6+11 = 17

17/2 = 8.5

8.5*8 = 68

The perimeter of a rectangular garage
is 46 meters. The garage is 10 meters
wide. How long is it?
meters

Answers

Divide area by width:

46/10 = 4.6 meters


Answer: 4.6 meters

Answer:

The rectangular garage is 13m long.

Step-by-step explanation:

[tex]\sf\large{\star Given:-}[/tex]

Perimeter of rectangular garage = [tex]\sf\pink{46 \:m.}[/tex]Width of the rectangular garage = [tex]\sf\pink{10\:m.}[/tex]

[tex]\sf\large{\star To\: find:-}[/tex]

How long is the garage (length of garage).

[tex]\sf\large{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]As we know that,

Perimeter of rectangle = [tex]\sf\blue{2(length+width)}[/tex]

So, by putting the value of perimeter and width in this formula we get,

[tex]\rightarrow[/tex] [tex]\sf{2(l+10)\:=\: 46}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l+20\:=\: 46}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 46-20}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 26}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{l \:=\: \frac{26}{2}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{l\:=\: 13m.}[/tex]

Therefore, length of the rectangular garage = [tex]\sf\purple{=\: 13m.}[/tex]

_______________________________

Hope it helps you:)

17. Kayden creates a linear function where x is the input, y, is the output, and
m and b are constants.
A. Which equation could represent Kayden's function?
y=1/x+ mb
y = mx + b
© x = my • by
.
B.
Which statement about the graph of Kayden's function is true for all
values of m and b?
~ The graph is increasing.
® The graph is decreasing.
© The graph goes through the origin.
The graph has a constant rate of change.

Answers

Answer:

see explanation

Step-by-step explanation:

A linear function has the form

y = mx + b ( m is the slope and b the y- intercept )

B

the graph has a constant rate of change , measured by the slope m of the linear function.

Marcus is building a fort. He needs 5 pieces of plywood each with an area of 56.25 square feet for each. If the plywood costs $1.79 per square foot, how much money will Marcus need to build his fort.

Answers

Simple answer (not exactly sure what unit your in)
56.25 X 5 = 281.25
281.25 X 1.79 = 503.4375
For 5 pieces of plywood it would equal a total of 281.25 square feet, and it would cost 503.43$

A golfer hits from a tee for a 300-yard hole. Her drive carries 275 yards but it’s 13 degrees off the line from the hole. How much farther must the golfer now hit the ball to reach the hole?

Answers

By using the cosine rule, we will see that the distance between the golfer and the hole is 69.7 yd.

How to find the distance?

Basically, we need to find the length of the missing side of the shown triangle.

So, one side measures 300yd, other side measures 275 yd, and the angle between these sides measures 13°.

Now we can use the cosine rule, where for sides a, b, and c, and angle A (A is the opposite angle to the side a) the rule says:

a^2 = b^2 + c^2 - 2bc*cos(A).

In this case we define:

b = 300ydc = 275 ydA = 13°

Replacing that we get:

a^2 =  (300yd)^2 + (275yd)^2 - 2*(300yd*275yd)*cos(13°) = 4,853.94 yd^2

a = √(4,853.94yd^2) = 69.7 yd

So the distance between the golfer and the hole is 69.7 yd.

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

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Which type of data would be considered qualitative data?

Answers

The type of data which would be considered as the qualitative data is the smell of the plant.

What is qualitative data?

The qualitative data is the data which describes the quality or the characteristics of a thing.

Qualitative data can be felt rather than measure. The data of color of hairs of cricket team player is an example of qualitative data.

The options for the problem are listed below.

Mass of a plant- It is a type of quantitative data which can be measured in kg.Height of a plant-This type of data is quantitative data which can be measured in m or ft.Smell of a plant-The smell of a plant can be filled and considered as qualitative data. Volume of water-This is also a type of quantitative data.

Thus, the type of data which would be considered as the qualitative data is the smell of the plant.

Learn more about the qualitative data here

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6.
Rahman sets off by car to his office at 08 55. He takes 20 minutes to arrive at his office, What time does he
arrive at his office?

huh its was so hardd can someone explain and solve it for me? :(

Answers

Answer:

he will arrive at work by 9:25 to push the time but its rea£y 9:20

Answer: 09:15

Steps:
Time to travel is 00:20
Start time is 08:55
Time of arrival is ?

20 minutes from 8:55.
An hour has 60 minutes.
There is 5 more minutes until 09:00.
20 - 5 = 15
15 minutes from 09:00 is 9:15.

You have a job as a teacher. Your salary for the first year is $37,185.
You will receive a 6% increase every year.
Part A Would an arithmetic or geometric sequence best model this situation?
- Arithmetic
- Both
- Neither
- Geometric

Part B: What explicit formula models this situation?
- an=37185*(.06)^n-1
- an=37185*(1.06)^n-1
- an=6*(37185)^n-1
- an=6*(1.06)^n-1

Part C: How much will your salary be at the start of your 5th year?
- $37,192.57
- $42,564.25
- $46,945.21
- $223,110.00

Answers

Answer:

a). Geometric sequence

b).

c). $46945.21 will be the salary at the start of 5th year.

Step-by-step explanation:

My salary for the first year is $37185.

If I get an increase of 6% every year then the next year salary will be,

  = $39416.1

Similarly in the second year my salary will be

   = $41781.07

So the sequence becomes $37185, $39416.1 $41781.07.....

And there is a common ratio in each successive term 'r' = 1.06

a). Therefore, it's a geometric sequence.

b). Explicit formula for this sequence will be in the form of

Where t = duration in years

c). Salary at the start of 5th year,

      = $46945.21

Step-by-step explanation:

PLEASE HELPPPPPPPPP!!!!! ILL GIVE BRAINLIST
y=3x+2
Given x = 5
y = ?

Answers

Answer:

17

Step-by-step explanation:

replace x with 5

3*5+2

next you use pemdas

you multiply before you add

3*5=15

15+2=17

She/he is right^up top.

please help me please

Answers

Answer: 8  x 2 = 4

1 x 4 = 4

9 x 3 = 27

2 x 4 = 8

Step-by-step explanation:

Can someone help me please

Answers

first add the ratio numbers which is 12

[tex] \frac{2}{12} \times 6000 = 1000[/tex]

then divide 1000 with 175

=5.71

5.71×2.25

=12.85 ruro

A rectangular bathroom mirror is 4
feet tall and 7 feet wide. What is its
area?
square feet

Answers

Answer:

28

Step-by-step explanation:

area = width x height

area = 7 x 4

area = 28 square feet

Given -

A rectangular bathroom mirror is 4 feet tall and 7 feet wide.

ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .

To find -

the area of the mirror

Solution -

As we know to find the area of rectangle we use the formula, Area = L × B

Hence, we will be doing the same.

Area = 4 × 7

Area = 28 square feet

Plssss help me with this!!!! It’s really hard

Answers

Answer:

2x < 10 would show that even 'if' x would make 2 larger, it still wouldn't match up to 10. But in this case, 2 would turn into 10. 10 = 10.

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