Find all the missing elements
Round to the nearest tenth.

Find All The Missing Elements Round To The Nearest Tenth.

Answers

Answer 1

Answer:

B = 48.7°

C = 61.3°

b = 12

Step-by-step explanation:

Given:

A = 70°

a = 15

c = 14

Required:

B, C, and b

Solution:

✔️Using the law of sines, let's find C:

Sin C/c = Sin A/a

Plug in the values

Sin C/14 = Sin 70/15

Cross multiply

Sin C × 15 = Sin 70 × 14

Divide both sides by 15

Sin C = (Sin 70 × 14)/15

Sin C = 0.8770

C = Sin^{-1}(0.8770)

C = 61.282566° = 61.3° (nearest tenth)

✔️Find B:

B = 180 - (70 + 61.3) (sum of triangle)

B = 48.7°

✔️Find b using the law of sines:

b/sinB = a/sinA

Plug in the values

b/sin 48.7 = 15/sin 70

Cross multiply

b*sin 70 = 15*sin 48.7

Divide both sides by sin 48.7

b = (15*sin 48.7)/sin 70

b = 11.9921789

b = 12.0 (nearest tenth)


Related Questions

Function B has a greater rate of change and a smaller y-intercept than function A. Which equation could represent function B?

Answers

Answer:

function A : y = 50 + 0.5x ; y = 40 + 0.6x

Step-by-step explanation:

Function is a relationship between values in set x & set y.

In case functional relationship equation is y = c + sx . c is the y intercept ie constant value of y when x = 0, & s is slope rate of change ie = change in y / change in x.

If function A is y = 50 + 0.5x. Intercept (c) = 50 , change rate (slope) = 0.5

If function B is y = 40 + 0.6x. Intercept (c) = 40 ie lesser, change rate (slope) = 0.6 ie greater

A total of 397 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

We know:
397 total
53 fewer student tickets than adult tickets

Variables: A for adult tickets, S for student tickets

Known Equations:
a + s = 397
a = s + 53

Solving:
2s + 53 = 397 so 2s = 344 so s = 172

s + a = 397
172 + (172 + 53) = 397 so 172 + 225 = 397

Adult tickets sold: 225
Student tickets sold: 172


Find the total area.

Answers

Answer:

area = 164.52 cm²

Step-by-step explanation:

area = (12x6) + (12x3x0.5x2) + (3.14)(0.5)(6²) = 164.52 cm²

Lines need to be painted on the field at a football stadium. The painter estimated that one can of paint would last 11 yards. How many cans of paint will be needed to paint the length of the 100-yard field?



I've been stuck on this question for two days :,) the answers are A.8 B.10 C.12 D.14





Can someone please tell me the answer?

Answers

Answer:  

area = pi*24^2/4 = 452 yd^2

so that means you will need 452/59 = 7.6 (or 8) gallons

A rectangular garden has a width of 7x -2 and a length of 3x +10. Find the perimeter.

Answers

(7x-2)+(7x-2)+(3x+10)+(3x+10)
=20x+16

Answer:

20x + 16

Step-by-step explanation:

Width (w) = 7x - 2

Length (l) = 3x + 10

Perimeter = 2*(l + w)

                 = 2* (3x + 10 + 7x - 2)

                 = 2* (3x + 7x + 10 - 2 )   {Combine like terms}

                 = 2* ( 10x + 8)         {Use distributive property: a(b +c) =(a*b) + (a*c)}

                 = 2*10x + 2*8

                  = 20x + 16

6. Markets with elastic supply and demand curves: a) Have demand and supply curves that never intersect. B) Are very sensitive to a change in price. C) Have greater movements in quantity than prices. D) Are very sensitive to a change in quantity. E) Are only theoretical and do not exist in the real world.

Answers

Answer:

The correct statement is B (are very sensitive to change in price)

Step-by-step explanation:

Option B is correct because of the following reason -:

The degree to which a rise in price affects the quantity demanded or supplied is known as elasticity. In the case of elastic demand and supply, as the price rises, the quantity demanded falls and the quantity supplied rises more than proportionally. Inelastic price elasticity of demand and supply, on the other hand, induces a less than proportional change in quantity as prices change.

Hence , the correct option is B .

It takes me into 30 minutes to walk from home to school when walking at 5 km per hour What is her average cycling speed If it takes her 15 minutes by bike to travel the same distance​

Answers

Answer:

10 km/h

Step-by-step explanation:

I'm not really sure about this but no ones answering your question and I wanna help.

So basically to calculate the average speed you need to divide the distance travelled by time taken

But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km

Now that we have the time and distance all we have to do is find the average speed.

Average Speed = distance ÷ time

So 150 ÷ 15 = 10 km/h

At 5 am, the temperature was -10°F. By noon the temperature was 7°F, What Integer
represents the change in temperature from 5 am, to noon?

Answers

Answer:

The integer that represents the change in temperature is 17.

Step-by-step explanation:

Evaluate.Evaluate.

8−2⋅3+7

Answers

Step-by-step explanation:

6×10

=60

niceeeeeeeeeeee

it’s 9, if you put this question on calcutta tot it comes up as 9

If x=(y+2)^2 and y= -7 then what is the value of x

Answers

Answer:

25

Step-by-step explanation:

(y+2)^2=x

(-7+2)^2=x

(-5)^2=x

(-5)(-5)=x

25=x

Hope that helps :)

Answer:

x=25

Step-by-step explanation:

Plug it innnn plug it innnn

The perimeter of a square is 28 cm. Find its area and the length of its diagonal.


help me ​

Answers

Step-by-step explanation:

area: 28/4=7

7x7=49

diagonal=square root 7²+7²

9.89949

9.90

hope it can help you

A cylinder has a radius of 4 units and a height of 7 units. What is the volume in cubic units

Answers

The volume is 12 cubic units

Answer:

The answer is 352 cubic units

write the answer in the simplest radical form
[tex] \sqrt{56} [/tex]

Answers

Hi. Here it is!
I hope this help!

Solve by elimination
x-2y=1
3х — 6y = 3

Answers

Answer:

Step-by-step explanation:

3(x-2y=1)

3x-6y=3

3x-6y = 3

3x-6y = 3

3x-6y = 3

-3x+6y=-3

0 = 0

x & y can be any value.

Please ASAP let me know the answer!

Answers

The answer is A because 7.99t represents per t-shirt

help please! :)) ill do whatever it is that gets you guys points!!! please help!

Answers

Answer:

7.5 in.

Step-by-step explanation:

Answer:

7.5 in

Step-by-step explanation:

using pythagorean theorem

Hyp²= Opp² + Adj ²

where 9= hyp

5= adj

and x = opp

9²=x²+5²

81=x² + 25

collect like terms

81-25=X²

56=X²

since we're looking for X and not X²

we square root both sides

√x²=√56

x=7.483 approximately 7.5

The Bungling Brothers Circus is in town and you are part of the crew that

is setting up its enormous tent. The center pole that holds up the tent

is 70 feet tall. To keep it upright, a support cable needs to be attached to

the top of the pole so that the cable forms a 60° angle with the ground.


a) How long is the cable?


b) How far from the pole should the cable be attached to the ground?

Answers

Answer:

a. 80.83 ft b. 40.42 ft

Step-by-step explanation:

Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.

a) How long is the cable?

Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,

sinФ = h/L

L = h/sinФ

L = 70 ft/sin60°

L = 70 ft/0.8660

L = 80.83 ft

b) How far from the pole should the cable be attached to the ground?

Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,

tanФ = h/x

x = h/tanФ

x = 70 ft/tan60°

x = 70 ft/1.7321

x = 40.42 ft

The length of the cable is 80.83 ft and the distance from the pole should the cable be attached to the ground is 40.42 ft and this can be determined by using the trigonometric function.

Given :

The Bungling Brothers Circus is in town and you are part of the crew that  is setting up its enormous tent. The center pole that holds up the tent  is 70 feet tall. To keep it upright, a support cable needs to be attached to  the top of the pole so that the cable forms a 60° angle with the ground.

a) The trigonometric function can be used in order to determine the length of the cable.

[tex]\rm sin\theta=\dfrac{h }{L}[/tex]

where h is the height of the pole, L is the length of the pole, and [tex]\theta[/tex] is the angle from the ground.

Substitute the known terms in the above expression.

[tex]\rm L=\dfrac{h }{sin\theta}[/tex]

[tex]\rm L = \dfrac{70}{sin60}[/tex]

L = 80.83 ft.

b) The trigonometric function can be used in order to determine the distance from the pole should the cable be attached to the ground.

[tex]\rm tan \alpha =\dfrac{h}{x}[/tex]

where x is the distance between pole and cable.

Substitute the known terms in the above expression.

[tex]\rm x = \dfrac{70}{tan 60 }[/tex]

x = 40.42 ft.

For more information, refer to the link given below:

https://brainly.com/question/21286835

Kaylee deposited $1,450 in an account that earns 2.596 interest compounded annually. Which function represents the situation, where tis

the time in years?

fit) = 1450(2.5)

f(t) = 1450(1.25)

FO) = 1450(.025)

f(t) = 1450(1,025)

Answers

Answer:

[tex]f(t) = 1450(1.025)^{t}[/tex]

Step-by-step explanation:

Given

[tex]P =1450[/tex] -- principal

[tex]r = 2.5\%[/tex] --- rate

[tex]n = 1[/tex] --- compounded once a year

Required

Determine the function for compound interest

Compound interest f(t) is calculated as:

[tex]f(t) =P(1 + r/n)^{nt[/tex]

So, we have:

[tex]f(t) = 1450(1 + 2.5\%/1)^{1 * t}[/tex]

[tex]f(t) = 1450(1 + 2.5\%)^{t}[/tex]

[tex]f(t) = 1450(1 + 0.025)^{t}[/tex]

[tex]f(t) = 1450(1.025)^{t}[/tex]

MATH PLEASE HELP!! HELP BADLY NEEDED....

Answers

Corresponding angles- a, d, h, l and s
Alternate interior- c, f, i, o, and t
Same side interior- e, g, k, m, and p
Alternate exterior- n, q, r
• for j and b I’m not sure

vocab word for this definetion

Answers

Answer:

whats the definition?

Step-by-step explanation:

Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.

Answers

Transformation of function f with a feature of the transformed function.

g(x)=-f(x-3) is vertical asymptote of x=3j(x)= f(x+3) is x-intercept of (-2,0)h(x)=3f(x)-3 is domain of (0, ∞)

What is asymptote?

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique

Given function is : f(x)= log x

g(x)= -f(x+3)= - log(x+3)

g(x)=-f(x-3) is vertical asymptote of x=3

j(x)= f(x+3) = log (x+3) then

j(x)= f(x+3) is x-intercept of (-2,0)

Domain: As (0,∞),{x | x>0}

h(x)=3f(x)-3 is domain of (0, ∞)

Learn more about  asymptote here:

https://brainly.com/question/4084552

#SPJ2

Answer:

Step-by-step explanation:


HELP PLS ITS ALMOST DUE PLS PLS PLS

Answers

Answer:

19. B

20. C

Step-by-step explanation:

Can someone plz help me

Answers

Answer:

54 sq ft

Step-by-step explanation:

6ft x 3 ft = 18 sq ft

9 ft x 4 ft = 36 sq ft

18 sq ft + 36 sq ft = 54 sq ft

The choices should be in sq ft, not in sq cm

The value of area in sq cm would be far greater than the value of area in sq ft.

Please answer quickly!!

Which set of data is represented by the box plot?

Answers

Answer:

C?

Step-by-step explanation:

What is 5 - (-2) =
Plz help I’m thinking it’s 3 but don’t know

Answers

5-(-2) is 7. 2 negatives is a positive. It’s basically 5+2.

Answer:

7

Step-by-step explanation:

just add them

them you get answer

What is the value of x in the figure below?

Answers

Answer:

B;24

Step-by-step explanation:

Ahmad throws dice find the probability that it is:not a 2

Answers

yah it's not probably it's not 2 mmmm

The dice has a the dice has 6 faces, each face has a 1/6 probability to appear, so the answer is 5/6

how do you solve this ?

Answers

Answer:

x = 37 mm

Step-by-step explanation:

using the Pythagorean theorem:

m² = 13² - 5² = 169 - 25 = 144

m = √144 = 12 mm

x² = 12² + 35² = 144 + 1225 = 1369

x = √1369 = 37 mm

Answer:

x=37.3

Step-by-step explanation:

Since we're looking for "x" we need to use "the Pythagorean theorem".

13mm will be our "A" and 35mm will be our "B" will "x" being the hypotenuse.

Since x is the hypotenuse, it needs to be a number greater than 13 and 35.

c=√(a² + b²)

Making it c=√(13² + 35²)

Making C=37.336 or 37.3

Therefore making, x=37.3

If vector v = ( 9 ) find -v and 3v
-6

Answers

-V=-9
3V-6=3x9-6=27-6=21

Help ASAP please!!!!!

Answers

51in

Step-by-step explanation:

15x5=75

8x3=24

75-25=51

Answer:

hi

Step-by-step explanation:

the area of the little rectangle:

3 in × 8 in= 24 in

tge area of the shaded ragion:

5in × 15in =75in

75in - 24 in=51 in

hope it helps

have a nice day

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