What is the approximate measure of angle G?​

What Is The Approximate Measure Of Angle G?

Answers

Answer 1

Answer:

m∠G ≈ 41°

Step-by-step explanation:

What Is The Approximate Measure Of Angle G?
Answer 2

The value of angle G will be approximately 41.4 °

What is law of cosine ?

The square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.

c² = a² + b² - 2ab cos[tex]\rm \gamma[/tex]

Here in triangle EFG ,

To find angle G

a = 12

b=10

c=8

8² = 12² + 10² - 2*12*10 cos[tex]\rm \gamma[/tex]

64 = 144 + 100 -240 cos    [tex]\rm \gamma[/tex]

64-244 = -240 cos[tex]\rm \gamma[/tex]

-180 = -240 cos[tex]\rm \gamma[/tex]

180/240 = cos [tex]\rm \gamma[/tex]

3/4 = cos [tex]\rm \gamma[/tex]

Therefore angle G will be approximately 41.4 °

To know more about law of cosine

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Related Questions


The length of a rectangle is 6.7 cm, correct to 2 significant figures. For the length of the rectangle
write down the lower bound

Answers

Answer:

[tex]Lower\ Bound = 6.65cm[/tex]

Step-by-step explanation:

Given

[tex]Length = 6.7cm[/tex] to 2sf

Required

The lower bound

The lengths are approximately 6.7cm to 2sf are:

[tex]Length = \{6.65 \to 6.74\}[/tex]

Such that:

[tex]Length = \{Lower\ Bound \to Upper\ Bound\}[/tex]

So, by comparison:

[tex]Lower\ Bound = 6.65cm[/tex]

At which approximate x-value are these two equations equal
y = √1 - x^2
y = 2x - 1

Answers

9514 1404 393

Answer:

  x = 0.8

Step-by-step explanation:

If you mean y = √(1 -x²), then the curves cross at x=0.8.

__

If you equate the y-expressions, then square both sides, you have ...

  √(1-x²) = 2x-1

  1 - x² = (2x -1)² = 4x² -4x +1

  0 = 5x² -4x . . . . . subtract the left-side expression

  x(5x -4) = 0   ⇒   x = 0, or x = 4/5

The x=0 solution is extraneous.

The two equations are equal at x = 4/5.

Bronco, Inc., imposes a payback cutoff of three years for its international investment projects.

Year Cash Flow (A) Cash Flow (B)
0 –$ 61,000 –$ 71,000
1 23,500 15,500
2 29,000 18,500
3 21,500 27,000
4 8,500 231,000

What is the payback period for both projects?

Answers

Answer:

4476966756TTTVFD

Step-by-step explanation:

Please help i need the answer done step by step

Answers

Answer:

x = 40

Step-by-step explanation:

So a triangle is 180 degrees

and thats a right triangle = 90 degrees

you have three corners: 90, 50 & x

90 + 50 + x = 180

140 + x = 180

subtract 140 from both sides

x = 40

hope this helps

like this up !

Answer:

40 is the asnwer

Step-by-step explanation:

1. Well, first of all we know that all right angles add up to 180 degrees. The degrees shown in the picture are 50, and 90. You can’t see the 90 exactly, but you can tell by that little square, that’s how it shows us!

2. Second step, we add up 60 and 90 which is 140. We got that, now we can subtract this 140 to the 180 to get our answer!

3. 180 – 140 is equal to 40!

4. Therefore, the 3rd angle is 40!

5. Not confident with my ansawer? Proof time!

6. 40 + 50 + 90 = 180

7. Since this all adds up to 180, it is true!

Have a great day!

Write the equation of the circle that is centered at (- 13, - 2) and has a diameter of 24^ *

Answers

Step-by-step explanation:

Given :-

Centre = (-13,-2) Diameter = 24

And we need to find out the equation of the circle. Since the diameter is 24 u therefore it's radius will be 12 u . Now we can use the Standard equation of circle to find out the equation .

Standard equation of circle :-

[tex]\implies (x-h)^2+(y-k)^2 = r^2 [/tex]

Where (h,k) is centre and r is radius.

[tex]\implies (x-(-13))^2+(y-(-2))^2 = 12^2 \\\\\implies ( x+13)^2+(y+2)^2=144 \\\\\implies x^2+169+26x+y^2+4+4y=144\\\\\implies x^2+y^2+26x+4y+ 29 =0[/tex]

The fitness center needs $125,000 in five years for more workout machines. Find the total interest earned if payments are made at the end of each quarter with interest at 6% compounded quarterly.

Answers

Answer:

$38,562.5

Step-by-step explanation

Using the compound interest formula

A = P(1+r/n)^nt

P is the principal = $125,000

r is the rate = 6% = 0.06

time t  = 5years

n = 0.25 (quarterly payment)

Substitute

A = 125000(1+0.06/0.25)^5(0.25)

A = 125000(1+ 0.24)^1.25

A = 125000(1.24)^1.25

A = 125000(1.3085)

A = 163,562.5

Hence the interest earned = 163,562.5 - 125000

interest earned = $38,562.5

A woman has eight keys on a key ring, one of which fits the door she wants to unlock. Sherandomly selects a key and tries it. If it does not unlock the door, she randomly selects anotherkey from those remaining and tries to unlock the door with it. She continues in this manner untilthe door is unlocked. Let X be the number of keys she tries before unlocking the door, countingthe key that actually worked.

Required:
Find the expected number of keys she will try before she opens the door.

Answers

Answer:

The expected number of keys she will try before she opens the door is 4.5.

Step-by-step explanation:

A woman has eight keys on a key ring, one of which fits the door she wants to unlock.

Each of them is equally as likely to be the one to work, which means that this situation is represented by an uniform distribution with lower bound [tex]a = 1[/tex] and upper bound [tex]b = 8[/tex].

Find the expected number of keys she will try before she opens the door.

The expected value of the uniform distribution is given by:

[tex]E = \frac{a + b}{2}[/tex]

Considering [tex]a = 1, b = 8[/tex], as is the case in this exercise:

[tex]E = \frac{1 + 8}{2} = 4.5[/tex]

The expected number of keys she will try before she opens the door is 4.5.

Find the sum of 5/8 + 3/10 *

Answers

Answer:

37 / 40 or 0. 925

Step-by-step explanation:

5/ 8 + 3 / 10

= 37 / 40

= 0. 925

Mark brainliest pls

This might acually affect Lebron's Legacy

Find the volume.
h = 10 cm
rea
144 cm

Answers

Answer:

I'm not sure but I think it could be 1440cm³

Step-by-step explanation:

have a great rest of ur day

It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?

Answers

Answer:

22

Step-by-step explanation:

5.50/0.25 = 22

Answer:

22

Step-by-step explanation:

5.50 cups of sugar divided by the .25 cups needed for each batch gives you 22 :)

66,66,70,88.........?,236​

Answers

Answer:

I am so confused I don't know how to answer this.

solve this inequality 2(4x+1)<3(2x-3)

Answers

Answer:

x<-11/2

Step-by-step explanation:

but don't trust me too much bestie

A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the

highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.

Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.

Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour

Answers

Answer:

The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:

A. 0.5 hours

C. $1.25 per car

D. $3.05 per gallon

F. 35 miles per gallon

H. 54 miles per hour

Step-by-step explanation:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Distance travelled per gallon in the city = 27 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Joey's average speed using the city street route = 36 miles per hour

Number of hours to get to work using the city street route = 1 hour

Relevant data for highway driving total costs:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60

Answer:

A, B, D, F, H

Step-by-step explanation:

If f(x) = 6x3 – 11x2
6x3 – 11x2 – 26x + 15 and
f(3) = 0, then find all of the zeros of f(x)
algebraically.

Answers

Answer:

f(6)g(8)

f(3)=0

Step-by-step explanation:

its a mathematics formula its ia trick

What would you do to solve the system?
System of equations
Click on the correct answer.
12x = 48 - 8y
10x + 8y = 38
?
Add the equations.
12x = 48 - 8y
10x = 38 - By
Subtract the equations.
3. To decide whether to add or subtract,
determine if the values of the
coefficients are the same or opposites:
. If the values are the same, subtract the
equations.
• If the values are opposites or additive
inverses, add the equations.
Remember, you're trying to remove one
variable.

Answers

Answer:

To decide whether to add or subtract,  determine if the values of the  coefficients are the same or opposites:

. If the values are the same, subtract the  equations.

• If the values are opposites or additive  inverses, add the equations.

Step-by-step explanation:

Given

[tex]12x = 48 - 8y[/tex]

[tex]10x + 8y = 38[/tex]

Required

How to solve

Options (1) and (2) are incorrect because none of the options eliminate x or y.

For option (3),

- Check for the coefficients of x and y

- If they are the same (sign and value), then subtract; otherwise add

For instance:

[tex]12x = 48 - 8y[/tex]

[tex]10x + 8y = 38[/tex]

Rewrite the second equation

[tex]12x = 48 - 8y[/tex]

[tex]10x = 38 - 8y[/tex]

The coefficient of y are the same, so we subtract;

[tex]12x - 10x = 48 - 38 -8y -(-8y)[/tex]

[tex]12x - 10x = 48 - 38 -8y +8y[/tex]

[tex]2x = 10[/tex]

[tex]x= 5[/tex]

See that y has been eliminated

−3.5+2.5+(−0.25)+(−3.25)

Answers

Answer:

-4.5

Step-by-step explanation:

-4.5 hope that helps

A triangular prism. The rectangular sides are 2 centimeters by 13 centimeters, 12 centimeters by 2 centimeters, and 5 centimeters by 2 centimeters. The 2 triangular sides have a base of 5 centimeters and height of 12 centimeters. Which equation could be used to find the surface area of the net of the triangular prism shown? SA = (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (1/2) (5)(13) + (1/2) (5)(13) + (5)(2) + (13)(2) + (12)(2) SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (2)(5)(13) + (5)(2) + (13)(2) + (12)(2)

Answers

Answer:

(C)SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)

Step-by-step explanation:

egde

Answer:

C

Step-by-step explanation:

please help.............................

Answers

Answer:

Step-by-step explanation:

Like therms have the same literal part

-6/7p + 1/7

find the surface area of the composite figure

Answers

Answer:

791.7 in.²

Step-by-step explanation:

Surface area of the composite figure = ½(surface area of sphere) + surface area of cylinder

= ½(4πr²) + (2πr(h + r)

Where,

r = ½(12) = 6 in.

h = 9 in.

SA = ½(4*π*6²) + (2*π*6(9 + 6)

SA = ½(452.39) + 565.49

SA = 791.685

SA = 791.7 in.² (nearest tenth)

can someone help me please?

Answers

Hello again
It’s B I think sorry if it’s wrong

help lol -30=5(x+1) x= ?

Answers

1.Distribute

-30=5(x+1). x

[tex]-30=5x^{2}+5x[/tex]

2. Move terms to the left side

[tex]-30=5x^{2} +5x[/tex]

[tex]-30-(5x^{2} +5x)=0[/tex]

3. Rearrange terms

[tex]-30-5x^{2} -5x=0[/tex]

[tex]-5x^{2} -5x-30=0[/tex]

Hope this helps! Sorry if I'm wrong

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{ORIGINAL EQUATION}\downarrow[/tex]

[tex]\large\textsf{ -30 = 5(x + 1)}[/tex]

[tex]\large\text{TURN the EQUATION}[/tex]

[tex]\large\textsf{5(x + 1) = -30}[/tex]

[tex]\large\text{DISTRIBUTE \textsf{5} WITHIN the PARENTHESES}[/tex]

[tex]\large\textsf{5(x) + 5(1) = -30}[/tex]

[tex]\large\textsf{5(x) = \bf 5x}\\\large\textsf{5(1) = 5}[/tex]

[tex]\rightarrow\large\textsf{5x + 5 = -30}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{5x + 5 = -30}}[/tex]

[tex]\large\text{SUBTRACT \textsf{5} to BOTH SIDES}[/tex]

[tex]\large\textsf{5x + 5 - 5 = -30 - 5}[/tex]

[tex]\large\text{CANCEL out: \textsf{5 - 5} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{-30 - 5} because that helps you solve for your \textsf{x-value}}[/tex]

[tex]\large\textsf{-30 - 5 = \bf -35}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{5x = -35}}[/tex]

[tex]\large\text{DIVIDE \textsf{5} to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{5x}{5}= \dfrac{-35}{5}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{5x}{5}}\large\text{ because that gives you the value of \textsf{1}}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{-35}{5}}\large\text{ gives you the \textsf{x-value}}[/tex]

[tex]\large\textsf{x = }\mathsf{\dfrac{-35}{5}}[/tex]

[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR x-value}[/tex]

[tex]\boxed{\boxed{\large\textsf{ANSWER: \huge \bf x = -7}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Please help this is due at 11/00 pm

Answers

Answer and Step-by-step explanation:

Each unit is equal to each other, and we know that both allowances together equates to 72, so if we divide the amount of units that there are, we can determine the amount per month.

There are 8 units in total.

72 divided by 8 = 9

Now, we do 9 times the amount each person has.

You = 5 * 9 = 45

Friend = 3 * 9 = 27

#teamtrees #PAW (Plant And Water)

What is the volume, in cubic m, of a rectangular prism with a height of 17m, a width of 14m, and a length of 11m?

Answers

Answer:

The answer is 2618m

Answer:

2618

Step-by-step explanation:

Please hel p me. !!!!!!! I need the median.

Answers

Have been so long since i sees this question , i will try
Step 1 add all number together
Step 2 take the total number divided by 10
Thats you median
Either that or you arrange the number from small to big
Then the middle number 5 and 6 you add them together and divided by 2

In ascending order,

36, 43, 50, 51, 58, 59, 60, 69, 73

N=9

median (Q2)= N+1/2

or, Q2= 9+1/2

or, Q2= 10/2

= 5th item

Therefore, the median is 58.

I don't know if this is correct or not.

Find the slope of the line that passes through these points.
(2, 2) and (4, 4)

Answers

Answer:

1

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4-2)/(4-2)

   = 2/2

   = 1

Find the coordinates of T' after the given translation.
O a. T' (-5,-3)
O b. T' (-3.4)
O c. T'(-5, -1)
O d. T' (-4,2)

Answers

I believe it’s C because the original coordinates where (1, -3) all you will have to do it’s subtract -6 by 1 and add 2 and -3

NO LINKS, NO OTHER SITES, 100 POINTS
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist

Answers

Answer:

because the graphs of the two equations overlap each other

Step-by-step explanation:

Equations that have an infinite amount of solutions overlap each other when graphed.

This is because equations with an infinite amount of solutions have a similar equation so when graphed you only see one line

URGENT HELPP!!!NO LINKS

Answers

Answer:

25 I believe

Step-by-step explanation:

think has 5 letters

only using it once ofc

5×5= 25

Please help me with this question!:))

Answers

Answer:

6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the two lines mean absolute value.  The absolute value of a number is just the number positive. For example the absolute value of -5 is 5 and the absolute value of 5 is 5. So on C, when you plug in -6, you get the absolute value of -6 which is 6. 6 is not greater than 6

if that makes sense :)

HELP! Will give branliest!!

Answers

Answer:

10y + 29 ≤ -23

Step-by-step explanation:

subtract 29 from each side to get:

10y ≤ -52

y ≤ -5.2

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