In AFGH, f = 60 cm, g = 10 cm and h=62 cm. Find the measure of LF to the
nearest degree.

Answers

Answer 1

Answer:

  ∠F ≈ 74°

Step-by-step explanation:

The law of cosines is used to find the measures of angles in a triangle when the side lengths are known.

__

  f² = g² +h² -2gh·cos(F) . . . . . law of cosines relating to angle F

  cos(F) = ((g² +h² -f²)/(2gh)) . . . . . solve for cos(F)

  F = arccos((g² +h² -f²)/(2gh)) . . . . . . solve for angle F

  F = arccos((10² +62² -60²)/(2·10·62)) = arccos(344/1240)

  ∠F ≈ 74°

In AFGH, F = 60 Cm, G = 10 Cm And H=62 Cm. Find The Measure Of LF To Thenearest Degree.

Related Questions

3. Arrange the following numbers in descending order i) 12098, 12980, 12890, 12089 ii) 2008909, 299088, 2000899, 298099​

Answers

Answer:

2008909, 2000899, 299088, 298099, 12890, 12089

Step-by-step explanation:

Start with the largest number then find the number with the smallest value closest to that number

[tex]Given[/tex] [tex]numbers:[/tex]

[tex]a)12098,12980,12890,12089[/tex]

Arranging numbers in descending order:

12980 > 12890 > 12098 > 12089

[tex]Given[/tex] [tex]numbers:[/tex]

[tex]b)2008909, 299088, 2000899, 298099[/tex]

Arranging numbers in descending order:

2008909> 2000899> 299088 > 298099

•••♪

Simplify.

14 7/15
-10 2/5


A. 4 1/15

B. 4 5/10

C. 4 1/2

D. 4 9/10

Answers

Answer:

A. 4 1/15

Step-by-step explanation:

14 7/15 - 10 2/5Multifly 14 and 15 to get 21015210+7/15 - 10 *5 + 2/5Add 210 and 7 to get 217217/15 - 10*5+2/5Multiply 10 and 5 to get 50217/15 - 5-+2/5Add 50 and 2 to get 52217/15 - 52/5The LCM of 15 and 5 is 15. Convert 217/15 and 52/5 to fractions with denominators of 15217/15 - 156/15Now that they have the same denominator Subtract 217 - 156 to get 6161/15 = 14 1/5

A circle has a diameter of 32 ft. What is its circumference?
Use 3.14 for 1, and do not round your answer. Be sure to include the correct unit in your ans
0
32 ft

Answers

Given -

diameter of circle = 32ft

To find -

the circumference of the circle

Explanation -

As we know, circumference of the circle = 2πr

where r signifies the radius of the circle. And radius if half of the diameter, i.e, r = d/2

Solution -

Circumference of the circle = 2πr

r = 32/2 = 6

Substituting the value of r,

Circumference of the circle = 2 × 3.14 × 6

Circumference of the circle = 12 × 3.14

Circumference of the circle = 37.6 ft

Therefore, the the circumference of the circle is 37.6 ft.

Solve the system of equations.
4x - 4y = 8
y + 4x = 2.5

Answers

x = -1.5

y = 8.5

hope it helps....!!!

[tex]4x-4y = 8~~~....(i)\\\\y+4x = 2.5~~~...(ii)\\\\(i)-(ii)\\\\~~~~4x-4y-y-4x = 8-2.5\\\\\implies -5y = 5.5\\\\\implies y = -\dfrac{5.5}5\\\\\implies y= -1.1\\\\\text{Substitute y= -1.1 in eq (i):}\\ \\~~~~4x-4(-1.1) = 8\\\\\implies 4x +4.4. =8\\ \\\implies 4x = 8-4.4\\\\\implies 4x = 3.6\\\\\implies x = \dfrac{3.6}4\\\\\implies x =0.9\\ \\\text{Hence,}~~ (x,y) = (0.9, ~-1.1)[/tex]

b/4 + 2 = 1 slove for b

Answers

Step-by-step explanation:

b/4 = 1-2

b/4 = -1

4 × b/4 = -1 × 4

b = -4

what does 30,000 divided by 12,674 equals?

Answers

Answer:

2.36705065488

10 points, questions is in the picture

Answers

Answer:

I think the answer is A

Step-by-step explanation:

If you use the diameter of the circle when drawing you will not get more than one interesection with the circle which will be in the opposite side, repeating this step will just repeat the same circles. But if you use the radius of the circle [tex]r = AB[/tex] you will get something like the picture attached, bear in mind it's not exact but it helps picture the steps being followed.

The best way to solve this is by experimenting with the compass and following the steps to see the outcome.

What is the square root of (144/169)+(25/169) first 144/169+25/169 then square root of that

Answers

Answer:

1

Explanation:

         

Answer:

The square root of (144/169)+(25/169) is 1

Step-by-step explanation:

[tex]\sqrt{\frac{144}{169} +\frac{25}{169} = \frac{169}{169}} = \sqrt{1}[/tex]

[tex]\sqrt{1} =1[/tex]

hope this helps :)

The graph below shows the exponential function and the linear function What is the minimum y-value after which the exponential function will always be greater than the linear function? y = 1 y = 2 y = 3 y = 4

Answers

Answer:

y = 1

Step-by-step explanation:

A Ferris wheel has a diameter of 250 feet. What is
the distance, to the nearest whole foot, that riders
travel if they stay on it for 15 rotations?

Answers

The distance that riders travel round the Ferris wheel in 15 rotations is 11,786 feet.

What is the distance travelled by the riders in 15 rotations?

The first step is to determine the distance travelled in one rotation. To do this, the circumference of the wheel has to be determined.

Circumference of a circle = π x 250

22/7 x 250 = 785.71 feet

Now, multiply the circumference by 15

785.71 feet x 15 = 11,786 feet

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

#SPJ1

The graph of a linear function is shown. A coordinate plane with a straight line. The line starts at (negative 5, negative 1) and continues up and to the right passing through (0, 0) and (5, 1). Which word describes the slope of the line? positive negative zero undefin

Answers

The linear function is represented by the straight line, and the word that describes the slope of the line is positive

What is a linear function?

A linear function is an equation that has a constant rate or slope

The points on the lines are given as:

(x,y) = (-5,-1), (0,0) and (5,1)

The slope is then calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

m = (0 + 1)/(0 + 5)

Evaluate

m = 0.2

The above slope is positive.

Hence, the word that describes the slope of the line is positive

#SPJ1

Read more about slope at:

https://brainly.com/question/1884491

Answer:

the answer is a

Step-by-step explanation:

Pleaseeeee help meee

Answers

Step-by-step explanation:

simplify the three equations to get the common (Y) and we get the following:

1. [tex]Y = \frac{-5}{2}x + \frac{1}{2}\\[/tex]

2. [tex]Y = \frac{2}{5}x - 8[/tex]

3. [tex]Y = \frac{2}{5}x + \frac{4}{5}[/tex]

Line 1 and 2 are perpendicular because for the gradient(m) the fraction in line 1 for x is the negative reciprocal to line 2.

Line 1 and 3 are also perpendicular because for the gradient(m) the negative reciprocal can also be seen

*note for perpendicular lines the +c or y-intercept is neglected as it does not affect the perpendicularity

Line 2 and Line 3 are parallel because they have the same gradient of  [tex]\frac{2}{5}x[/tex]

So they will have the same slope, regardless of the y-intercept.

verron tossed a coin 20 times the results were 8 heads and 12 tails, What is the best comparison between the theoretical and experimental probability of tossing heads?​

Answers

Answer:

exp prob is less than theoret prob

Step-by-step explanation:

experimental   8 out of 20    8/20

theoretical      10 out of 20    10/20

Find the equation of a line perpendicular to y=−6 that contains the point (1,3). Write the equation in slope-intercept form

Answers

Answer:

x=1

Step-by-step explanation:

Hi there!

We are given that a line is perpendicular to y = -6 and passes through the point (1, 3)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name

First, we need to find the slope (m) of the line

Remember that we were given that the line is perpendicular to y = -6

Perpendicular lines have slopes that multiply to get -1

The slope of y = -6 is 0; therefore, to find the slope of this line, we can do the following equation

0m=1

Divide both sides by 0

m = 1/0

This answer is undefined - therefore, the line has an undefined slope

If this is the case, then it means the line is a vertical line

A vertical line is written as x=k, where k is the value of x at the x intercept. It can't be written in slope-intercept form.

This value is also the value of x at every point that lies on such line - in this case, as given by the point (1, 3) , this value is 1

So substitute 1 as k.

x = 1

This is the line of the equation.

Hope this helps!

Will give brainliest :,)

Janel invested $7,000 at 3% interest, compounded semi-annually (two times a year). What would the value of the investment be after 8 years? A = P(1+r/n)^nt

A. 10,360.00

B. 8,882.90

C. 13,600.00

D. 8,680.00

E. 8,867.39

Answers

How much would the investment be worth?

As the function for interest is already given to us, also,

The principal amount, P = $7,000

The rate of Interest, r = 3%

Time period, t = 5 years

Compounded semiannually, n = 2

Substitute the values,

Hence, the worth of the investment after 5 years at an interest of 3% is $8,123.79.

Answer:

Hello! Let's find the value of Janel's investment after 8 years. In the formula we're using, P will represent the principal amount, r will represent the rate of interest, and t will represent time. Since the interest is compounded semi-annually (twice a year), n = 2. Finally, A represents the value of the investment after t (8 years).

Substitute these values into the formula:

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

[tex]A = 7000(1+\frac{0.03}{2} )^{2*8}[/tex]

Simplify the equation:

[tex]A = 8882.89883357[/tex]

Round this number to the nearest hundredth:

[tex]A = 8882.90[/tex]

The correct answer is B. 8,882.90.

I hope this helps you! Have a great day. :)

Rationalize denominator

Answers

Answer:

[tex]\huge\boxed{\bf\:2}[/tex]

Step-by-step explanation:

[tex]\frac{4}{3 + \sqrt{7}}[/tex]

Rationalise the denominator by multiplying the numerator & denominator of the fraction with [tex](3 - \sqrt{7})[/tex].

[tex]\frac{4\left(3-\sqrt{7}\right)}{\left(3+\sqrt{7}\right)\left(3-\sqrt{7}\right)}[/tex]

Now, we  an see that the denominator is in the form of the algebraic identity: (x + y) (x - y) = x² - y². So,

[tex]\frac{4\left(3-\sqrt{7}\right)}{3^{2}-\left(\sqrt{7}\right)^{2}} \\= \frac{4\left(3-\sqrt{7}\right)}{9-7} \\= \frac{4\left(3-\sqrt{7}\right)}{2} \\[/tex]

The new denominator is 2.

[tex]\rule{150pt}{2pt}[/tex]

Answer:

Option D. 2

Step-by-step explanation:

Hello!

To rationalize the denominator, we should multiply the numerator and the denominator by the conjugate of the denominator. The conjugate simply means the same terms but with the opposite operation.

Rationalize[tex]\frac4{3+\sqrt7}[/tex][tex]\frac4{3+\sqrt7} * \frac{3 - \sqrt7}{3 - \sqrt7}[/tex][tex]\frac{12 - 4\sqrt7}{9 - 7}[/tex][tex]\frac{12 - 4\sqrt7}{2}[/tex]

The new denominator is 2.


. What is the product of √2x • √12500?

Answers

[tex]\sqrt{2x}\ \cdot \ \sqrt{12500}\\= \sqrt{25000x}\\= \sqrt{25} \cdot \sqrt{100} \cdot \sqrt{10x}\\= 5 \cdot 10\ \cdot \sqrt{10x}\\= 50\sqrt{x}[/tex]

Carlos stood outside the park and asked every fourth person to enter the park for their favorite sport. There were four choices: football, baseball, basketball, and other. Bill surveyed a total of 54 people. Of those surveyed, 15 said football is their favorite, 13 said baseball is their favorite, 12 said basketball is their favorite, and 14 said other.

Answers

Answer:

216???

Step-by-step explanation:

54 times 4 bc every fourth person that comes in

I have no Idea tho

100 points! compute the modulus and argument of each complex number 2(cos2pi/3+isin2pi/3)

Answers

Step-by-step explanation:

For a number,

[tex]r( \cos(x) + i sin(x))[/tex]

r is the modulus and

x is the argument

So here.

r is 2.

x is 2 pi/3

So the modulus is 2

the argument is 2 pi/3

Answer:

Modulus: 2

Argument: 2 pi/3

Step-by-step explanation:

A P E X

652,951 rounded to the nearest thousand? Please hurry fast!!!!

Answers

653,000.
Place
Hundred thousand
Ten thousand
Thousand
Hundred
Tens
Ones
From right to left.
5 and above round up else ignore.
Put zeros everywhere you rounded.
Mark as the best!


Bartering was an early way that people _____

Answers

Answer: hii

Exchanged a good or service directly for a good or service

Step-by-step explanation:

Bartering was an early way that people... Exchanged a good or service directly for a good or service.

Hopefully this helps you

- Matthew

Hey there!

Bartering was an early way that people exchanged goods.

☆Explanation:

In earlier times money was not there,so people used to follow a system in exchange of goods. This system was known as barter system. In barter system commodities were exchanged against commodities.

¤ Example:-

Let's imagine a situation between "A" and "B". Suppose "A" wants rice and have sugar. On the other hand "B" has rice and he wants sugar. So,there will be exchange between "A" and "B" where "A" will give sugar to "B" and "B" will give rice to "A".

This procedure of exchanging goods is known as barter system.

Hope it helps

in a survey 15 high school students said they could drive 15 said they could not out of 60 college student survey 30 said They Could Dr., Micah concluded that if someone is in college that means in person is more likely to drive is is is micahs conclusion correct explain

Answers

no it's not correct

50% can drive and 50% cannot drive... cus the survey is conducted on 50% students... so assuming that 30 students' percentage is 100, 15 can drive and 15 cannot, therefore...

50% can drive and 50% cannot drive

hope it helps...!!!

Solve each proportion.

Answers

To solve this question you need to cross multiply

So first do 3(2x+1) = 4(3x-2)
Which gives you 6x+1 = 12x-8

Now you solve it like a normal equation
6x+1 = 12x-8
9 = 6x
3/2 = x


5-16 Find the general indefinite integral.
16. [tex]\int \frac{\sin 2 x}{\sin x} d x[/tex]

Answers

I assume the integral is

[tex]\displaystyle \int\frac{\sin(2x)}{\sin(x)} \, dx[/tex]

Simplify the integrand:

[tex]\sin(2x) = 2\sin(x)\cos(x) \implies \dfrac{\sin(2x)}{\sin(x)} = 2\cos(x)[/tex]

Then the indefinite integral is

[tex]\displaystyle \int\frac{\sin(2x)}{\sin(x)} \, dx = 2 \int \cos(x) \, dx = \boxed{2 \sin(x) + C}[/tex]

John has 5 pairs of formal shoes, 2 pairs of traditional shoes, and 4 pairs of casual shoes. What is the probability that John selects a pair of formal shoes??? Write the answer as a fraction in the simplest form.

Answers

Answer:

5/11

Step-by-step explanation:

probability = # of favorable outcomes / # of total outcomes

favorable outcome = selecting a pair of formal shoes.

There are 5 pairs of formal shoes so # of favorable outcomes = 5

The total number of outcomes = sum of different pairs of shoes. There are  5 pairs of formal shoes, 2 pairs of traditional shoes, and 4 pairs of casual shoes, so total there are 5 + 2 + 4 = 11 pairs of shoes

so we have probability =  # of favorable outcomes / # of total outcomes

and # of favorable outcomes = 5 and total # of outcomes = 11 so probability of selecting a pair of formal shoes is 5/11

The height of a ball​ (in feet) after t seconds is given by the quadratic function h=-16(t-5)^2+116
The ball reaches its maximum height at (blank) seconds.

Answers

Check the picture below, so pretty much reaches its maximum height at the vertex, now let's take a peek at the equation above hmmmm

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ h(t)=-16(t ~~ - ~~ \stackrel{h}{5})^2~~ + ~~\stackrel{k}{116}~\hfill \underset{maximum~height}{\stackrel{vertex}{(5~~,~~\underset{\uparrow }{116})}}[/tex]

cashews cost $0.40 per ounce. you have $6. can you buy one pound pf cashews

Answers

Answer:

[tex]0.40 * 6 = 2.4\[/tex]

So if one pound costs 2.4$, you will be able to buy 2 pounds with 6$

For each of the following equations, say which one (d) has two rational solutions, (e) has two irrational
solutions, and (f) has two non-real solutions. Each answer (d, e, and f) is used once.

Answers

to solve this equation

[tex]x { }^{2} + 3x - 40 = 0[/tex]

we first identify it as quadratic and to solve we find two numbers that can multiply to get -40 and add to get positive three [tex](x - 5)(x + 8)[/tex]the factors being-5 and positive 8 satisfied the condition now to apply zero product principle [tex](x - 5) = 0 \: and \: (x + 8) = 0[/tex]from the equation above in (x-5)=0 we subtract 0 from both places and it literally reads [tex]x = + 5[/tex]for the second the same is done [tex]x = - 8[/tex]now for second question[tex]x^{2} + 3x + 1[/tex]not forgetting the zero. open two brackets and find no that can add to get 3 and multiply to get 1[tex](x + 1)(x + 1)[/tex]the answer being x=-1 and x=-1

The ages of all the patients in the isolation ward of the hospital are
38, 26, 13, 41 and 22.
What is the population variance?

Answers

okay l will help you on this

but it's not so realistic. it's a negative answer imagine

In this diagram, line I, line m, and line n are parallel and intersected by a transversal.

Based on this diagram and the angle labeled 73°, which statement is true?

A) The value of x is 17 because the two angles are complementary

B) The value of x is 73 because the two angles are equal.

C) The value of x is 107 because the two angles are supplementary.

D) The value of x is 146 because one angle is twice the other angle.​

Answers

Answer:

b

Step-by-step explanation:

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