In ΔEFG, f = 42 inches, e = 39 inches and ∠E=43°. Find all possible values of ∠F, to the nearest degree.\

Answers

Answer 1

Answer:

The angle F = 47.25°

Step-by-step explanation:

Step(i):-

Given that f =42inches  and  e = 39 inches

Given that ∠E = 43°

By using sine rule

                 [tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{C}{sinC} = 2R[/tex]

                [tex]\frac{e}{sinE} = \frac{f}{sinF}[/tex]

 ⇒          [tex]\frac{39}{sin43} = \frac{42}{sinF}[/tex]

  Cross multiplication , we get

⇒       39 sin F = 42 × sin 43°

             [tex]sin F = \frac{42 X 0.68199}{39}[/tex]

⇒           sin F = 0.734459

Step(ii):-

⇒       sin⁻¹ (sin F)= sin ⁻¹ ( 0.734459)

⇒            F = 47.25

The angle F = 47.25°


Related Questions

The sales tax rate is 3% . If Aaron buys a golf club priced at $96, how much tax will he


pay?

Answers

Answer:

98.88

Step-by-step explanation:

98.88 bru :)                              hope this helps you out bro.

!!help please!!
Solve the rational equation:

Answers

The answer is x = 1/2 or 0.5

What is the solution to the equation x+7=−12?

is the question
hurry plss

Answers

Answer:

5+7=12

Step-by-step explanation:

simplify 5+7 to 12

12=12

x+7=12

Please help me

Solve the inequality.
8(x - 2) + 9<3(x - 1) + 5x

A. x <-7

B. X<-3

C. no solution

D. all real numbers

Answers

Answer:

D

Step-by-step explanation:

All real numbers are solution

Step 1: Simplify both sides of the inequality.

8x−7<8x−3

Step 2: Subtract 8x from both sides.

8x−7−8x<8x−3−8x

−7<−3

Step 3: Add 7 to both sides.

−7+7<−3+7

0<4

hope this help:)

Determine the common factors and HCF for each of the following terms.

b) 2b, 3b
e) 5bc, 2c2, 3cd
f) 4a2b, 8b2c, 6bcd

Help please and explanation..

Answers

Answer: Please see explanation column for answers

Step-by-step explanation:

When a number  divides into another number without a remainder, it s called a factor of that number.  Lets say we want to  find the common factors of two numbers, we get the  factors of each one and  compare them. The common factor is the one that is found in both lists

While The Highest common factor, is the highest factor number found in both lists.

b) 2b , 3b

Factors of 2b= 1, 2 and b

Factors of 3b=1, 3 and b

Common factors =1 and  b

HCF=1b

e) 5bc, 2c2, 3cd

Factors of 5bc=  1, 5, b, c

Factors of 2c2= 1,  2, c, c2

Factors of  3cd= 1, 3, c, d

Common factors = 1 and c

HCF= 1c

f) 4a2b, 8b2c, 6bcd

Factors of 4a2b=  1, 2, 4, a, a2, b

Factors of 8b2c= 1, 2, 4, 8, b, b2, c

Factors of  6bcd= 1, 2,3,6, b, c,d

Common factors = 1, 2 , b

HCF=  2b

Solve the equation for x:
sin^2 x – 2 cos x - 2 = 0
for the restriction 0 < x < 2pi

Answers

Answer: x = pi

sin²x - 2cos x - 2 = 0

⇔ 1 - cos²x - 2cos x - 2 = 0

⇔ cos²x + 2cos x + 1 = 0

⇔ (cos x + 1)² = 0

⇒ cos x + 1 = 0

⇔ cos x = -1

⇒ x = pi + k2pi

because 0 ≤ x < 2pi

=> x = pi

Step-by-step explanation:

how do you graph
{x-y=6
3x+5y=10​

Answers

Answer: mathaway

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Attached is a graph of the system of equations. Notice that they intersect at the point (5,-1) which is the solution to the system of equations.

Solve 2( 4x - 1) = 18

Answers

the answer is 2.5

2 (4x - 1) = 18
8x - 2 = 18
8x = 20
x = 2.5

Answer:

x=2

Step-by-step explanation:

Simplifying

2(4x + 1) = 18

Reorder the terms:

2(1 + 4x) = 18

(1 * 2 + 4x * 2) = 18

(2 + 8x) = 18

Solving

2 + 8x = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + 8x = 18 + -2

Combine like terms: 2 + -2 = 0

0 + 8x = 18 + -2

8x = 18 + -2

Combine like terms: 18 + -2 = 16

8x = 16

Divide each side by '8'.

x = 2

Simplifying

x = 2

The Starbucks store Emily works at made $12,500.00 in
sales today. 20% of sales cover employee salaries, 30%
cover overhead charges. How much money is left as profit
once those two expenses are paid (HELP NEEDED)

Answers

Answer:Part (1) November 1

The amount paid is the rental advances and must be recorded as advances which falls under the current asset category:

Dr Rental Advances $90,000

Cr        Bank account             $90,000

Part (2) December 31

On this date, some of the rental advances paid would be realized as expenses from the period November 1, 20X1 to December 31, 20X2.

This time duration constitutes to 2 months and the rental advance made on November were for five months. Out of these 5 months, 2 months share must be recognized as expense which is

The relevant entry would be:

Dr Rental Expenses $36,000

Cr                Rental Advances $36,000

Step-by-step explanation:

HOPE THIS HELPS!!

I do not understand this Can you please help.

Answers

Answer: 1.7 is the answer hope this helps.

Step-by-step explanation:

Answer: Solve using proportions

Step-by-step explanation:solve for x:

1/500=x/828

There are 20 flowers in a bouquet, and 2 of them are roses. What percent of the flowers are roses?
Please help. don't need any work just the answer is fine.

Answers

Answer

.4 percent

Step-by-step explanation:

Answer:

.5%

Step-by-step explanation:

(3c2 - 7) + (4c + 7) - (c2 + 5c - 8) is equivalent to 2c2 - c + 8.
TRUE OR
FALSE

Answers

Answer:

TRUE

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

What is the coefficient of the second term in this expression?


7 + 2n

Answers

Answer:

a2 = 11

Step-by-step explanation:

Slope of the line passing through (-2,4)(-8,8)

Answers

Answer:

-2/3

Step-by-step explanation:

Answer:

nm lol

Step-by-step explanation:

I did it wrong

The polygons are similar. Find the missing side length.

Answers

Answer:

44

Step-by-step explanation:

Since triangles are similar, so their corresponding sides would be in proportion.

Therefore,

[tex] \frac{24}{32} = \frac{33}{?} \\ \\ \\ ? = \frac{32 \times 33}{24} \\ \\ ? = \frac{4\times 33}{3} \\ \\ ? = 4\times 11 \\ \\ ? = 44 \: units[/tex]

What number makes the equation true? [???] ÷ 8 = 4​

Answers

Answer:

32

Step-by-step explanation:

math

................

Answer: 32

Step-by-step explanation:

If you divide 32 by 8 then you get 4

Figs come in 2.4 lb bags. Apples come in 7.2 lb bags. How many times as many pounds are the apple bags as the fig bags?

Answers

Answer:

3

Step-by-step explanation:

7.2 ÷ 2.4 = 3

a circle with a 12 inch diameter is folded in half and then folded in on half again. what is the area of the resulting shape

Answers

It will be 3 because it’s have of the diameter on the circle and this that diameter is folded again

What is the slope of (10,8) and (-5,8)

Answers

Answer: The slope is 0.

***If the picture is sideways, use the rotate button.

Answer: 2/1

Step-by-step explanation:

PLS HELP WILL MARK BRAINLIEST
Jace has (n) nickels and (d) dimes. He has at most 20 coins altogether. Write this situation as an inequality.

Answers

Answer:

[tex]n+d\leq 20[/tex]

URGENT PLEASEEEE HELPPPP

Answers

Answer:

they should get 8/3 each but because of your question the answer lies between 2 and 3

Step-by-step explanation:

if 3 cats and 8 once then 8 divided by 3 is 8/3 which is about 2/6667 then that is between 2 and 3. Done!

You simply divide the 8 ounces of cat food between the 3 cats, so we have 8\3 which is equal to 2.66 therefore our answer lies between the whole numbers 2 and 3.

Input in standard form the equation of the given line.
The line through (0, -3) and (3, 0)

Answers

y=x-3
when you have y=x you get a line that passes through (0,0) so in order for the line to hit the points you listed (0,-3)(3,0) you need to adjust the y-intercept by subtracting 3 from x

Two parallel lines are cut by a transversal as shown below. Suppose <4 = 143 degrees. Find <5 and m <7.

Answers

Can you provide a picture?

Choose ALL of the following that would simplify to 2x +1

1. 3 + x +X-1
2. 1/2(4x + 1)
3. 3x - 4x + 1
4. 1/3(6x + 3)
5. y + 2x - 5-y + 6

Answers

Answer:

4 and 5

Step-by-step explanation:explanation for how to evaluate ( number 5 )

5.  

y+2x−5−y+6

=y+2x+−5+−y+6

Combine Like Terms:

=y+2x+−5+−y+6

=(2x)+(y+−y)+(−5+6)

=2x+1

Plz help me...............

Answers

Pretty sure it’s c might be wrong doe

BOBTHEBUILDER can do it

Answers

Answer:

YES HE CAN

Step-by-step explanation:

Answer:

when you have Bob anything is possible

Which expression is equivalent to 10x+9+10x+1010x+9+10x+10?

Answers

: 10x + 10x +1010+ 10x= 1040x

9+9=18

Answer 1014x+ 18

Step-by-step explanation:

Answer:

ybcdafhuaydf

Step-by-step explanation:

i

dsf

ds

fds

f

dsf

Roy and two friends are at a game center. Each person buys hot dogs for $3, fries for $2.49, and a drink for $2.50. They also have a coupon for $1 off each drink. Write an expression to represent the total cost. Then find the total cost.

Answers

Answer:

$20.97

Step-by-step explanation:

3 people, meaning to multiply each one by 3.

Total price of Hot Dogs= 9.00

Total price of Fries=7.47

Total price of Drinks=7.50

7.50 - 3= $4.50

9.00+7.47+4.50= $20.97

Write down the value of the 6 in the number 2693

Answers

Answer:

600

Step-by-step explanation:

The value of the 6 in 2693 is 600 because it is in the hundreths place.

(The 3 is in the ones place, the 9 is in the tens place, the 6 is in the hundreds place, and the 2 is in the thousands place.)

There are 15 girls and 16 boys in a class. What is the ratio of girls to total students in the class?

Answers

Answer:

[tex]15:31[/tex]

Step-by-step explanation:

To find the amount of total students, you would do this:

[tex]15+16=31[/tex]

Since there are [tex]15[/tex] girls, the [tex]girls[/tex] to [tex]total students[/tex] ratio would be [tex]15:31[/tex].

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