In ∆DEF, DE = 18, EF = 16, and DF = 12. Find m∠F.

Answers

Answer 1

Answer:

∠F=78.58484226°

Step-by-step explanation:

a²=b²+c² - 2bc cosA

DE²=EF²+DF² - 2(EF)(DF)cos∠F

18²=16²+12²-2(16)(12)cos∠F

324=256+144-384cos∠F

324-400=-384cos∠F

76=384cos∠F

0.197916=cos∠F

∠F=cos⁻¹(0.197916)

∠F=78.58484226°


Related Questions

Shailes class had 2 students out of 5 students choose Fortnite as their favorite video game. What was the
part percent
percentage of students who like Fortnite?
whole 100
O 2%
O 10%
40%
O 100%

Answers

Answer:

40%

Step-by-step explanation: 2 divided by 5 is 0.4 so that is 40%

Answer:

40%

Step-by-step explanation:

those two people who like fortnite are the 1 percent of bacteria lysol doesn't kill. fortnite is lame and bad

A chess club plans to sell water bottles to raise $425
they already have $175
if they sell water bottles for $8 each, at least how many bottles do they need to sell in order raise enough money
which inequality represents the situation

Answers

Answer:

31

Step-by-step explanation:

I rounded it down thats it

The equality for this equation is

175 + 8b >/=  425

B = number of bottles required to sell. Now, I don't want to give you the answer but I can assist you in easily finding it. Subtract 175 from both sides

8b >/= 250

Now, divide at from both sides and remove the greater than mark which should mean that in the end it should look like it says

**edited** I mean divide 8 from both sides.

b = ?  

That is the number of bottles they must sell, if it is a decimal, round it up because there is no such thing as a decimal number for selling water bottles.

Plz, Solveeeeeeeeeeeeeeeeeeee! I will give you all my points

Answers

1/2bh
1/2b4 = 18
b4= 36
b= 9 yards

Calculate the mean of 79,58,72,61,80​

Answers

Answer:

Mean = 70

Step-by-step explanation:


The sale price of an item is $180 after a 25% discount is applied. What is the original price of the item?

Answers

original price is $240

Answer:

$240

Step-by-step explanation:

.75*x=180

This equation is setup so we can find the value of the original price, since 25% is deducted, you can multiply x by 75% and set it equal to 180 since that is the resulting discounted price.

Your grandparents started a savings account with $10,000 the day you were born. It earns 5% annually compounded monthly. How much will you have when you turn 18?

Answers

Answer: You will have $24,551.84 when you turn 18.

Step-by-step explanation:

Formula for accumulated amount earned in t years:

[tex]A=P(1+\dfrac{r}{12})^{12t}[/tex], where P = principal value, r = rate of interest

Given: P= $10000, r = 5% t = 18 years.

Substitute all values in formula, we get

[tex]A=10000(1+\dfrac{0.05}{12})^{12\times18}\\\\=10000(1.004167)^{216}\\\\=10000(2.45518445623)\approx24551.84[/tex]

Hence,  you will have $24,551.84 when you turn 18.

-0.8(q - 0.5)= - 2.6 what is a

Answers

Answer:

3.75

Step-by-step explanation:

-0.8(q-0.5)=-2.6

-0.8q+0.4=-2.6

-0.8q=-2.6-0.4

-0.8q=-3

0.8q=3

q=3/0.8

q=3.75

given f(x)=50+30x, find f(1), f(2), and f(3)
Please help

Answers

The numbers inside the parentheses are the x values. Replace x with each number and solve.

F(1) = 50 + 30(1)= 50+ 30 = 80

F(2) = 50 + 30(2)= 50 + 60 = 110

F(3) =!50 + 30(3)= 50 + 90 =140

The value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = 50 + 30x

The value of the function at x = 1, will be

f(1) = 50 + 30 × 1

f(1) = 50 + 30

f(1) = 80

The value of the function at x = 2, will be

f(2) = 50 + 30 × 2

f(2) = 50 + 60

f(2) = 110

The value of the function at x = 3, will be

f(3) = 50 + 30 × 3

f(3) = 50 + 90

f(3) = 140

Thus, the value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.

More about the function link is given below.

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plz help I don't have a lot of time left

Answers

Answer:

the 2nd colonie of bacteria grows faster

Step-by-step explanation:

Answer:

a. Bacteria B grows at a faster rate because it has a higher number than Bacteria A. By solving the problem of both Bacteria A and Bacteria B, you would see why Bacteria B grows at a faster rate.

b. Bacteria B grows faster by 35000

Step-by-step explanation:

Question 2 of 10
Use the matrix tool to solve the system of equations. Choose the correct
ordered pair.
4x + 5y = 2
5x - 3y = 21

Answers

Answer:

(3 , -2)

Step-by-step explanation:

4   5   2                        5  -3   21                      1  -8   19  -> * -4

5  -3    21  -> switch     4   5   2   -> * -1   ->      4   5   2              ->

1    -8    19                  -> 1     0     3                          1     0     3

0  37   -74   -> *8/37      0  37   -74   -> * 1/37   ->   0    1     -2

factoring trinomials 6n^2-56n-40

Answers

Answer:

Step-by-step explanation:

Use the Quadratic Formula to find the roots, i.e., the values of n for which 6n²-56n-40 = 0.

Answer:

2(n - 10)(3n + 2)

Step-by-step explanation:

Given

6n² - 56n - 40 ← factor out 2 from each term

= 2(3n² - 28n - 20) ← factor the quadratic

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × - 20 = - 60 and sum = - 28

The factors are - 30 and + 2

Use these factors to split the n- term

3n² - 30n + 2n - 20 ( factor the first/second and third/fourth terms )

= 3n(n - 10) + 2(n - 10) ← factor out (n - 10) from each term

= (n - 10)(3n + 2)

Thus

6n² - 56n - 40 = 2(n - 10)(3n + 2)

Vlad has 4 times as many blue marbles as green marbles. Which could be the number of blue marbles Vlad has?

Answers

Answer: A:16 marbles

Step-by-step explanation:

Because the number of blue marbles has to be four times as many as the number of green marbles, the blue marbles have to be a multiple of 4 because the number of marbles has to be a whole number.

Look at the options to see any option that is a multiple of 4.

That option is 16 so option A is correct.

Blue marbles being 16 means that green marbles are 4.

Can someone pls help me with this?

Answers

Answer: It would be A because the base cost is three dollars with extra 150 per order

Step-by-step explanation:

Answer: I would definitely go with A

please help asap!!!!

Answers

Answer:

391.5

Step-by-step explanation:

Find the area of all the sides.

Triangles area: 9 X 10=90 because there are 2 so you don't need to divide by 2

Rectangles area: (9X10)X2= 180 because there is 2

Another rectangle area 13.5 X 9= 121.5

Add all:   90+180+121.5

Answer 391.5

Solve for Angles X&Y.

Answers

Y=102 X=78
There is 900 degrees in a hexagon so you have to add up all the sides you already know and subtract 900 minus all the degrees you added then when you get your answer you can see that there is a supplementary line connecting to the hexagon and we know that a line is 180 degrees so you then subtract 180 with the degree you just found:)

Answer:

y = 102°

x = 78°

Step-by-step explanation:

y = 900-(115+105+128+142+148+160)

y= 900-798

y= 102

x= 180-y

x= 180-102

x= 78

A new car is purchased for 22300 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will it be until the value of the car is 7700 dollars?

Answers

Answer:

13, i think.

Step-by-step explanation:

use the equation: p( 1 - 7.5/100)^r

p= original amount

r = years

sub in numbers

22300 ( 1- 7.5/100)^r

just sub in different numbers for r till you get closest to your answer

After 13 years the value of the car would be $7700

What is an exponential decay?

"It describes the decrease in an amount by a consistent percentage rate over a period of time."

What is exponential decay formula?

"f(t) = a(1 - r)^t , where t is time, a is the initial value and r is the rate"

For given example,

initial value of the car (a) = 22300

The value of the car depreciates at 7.5% per year.

So, the rate (r) = 7.5%

We can write 7.5 percent as,

7.5% = 7.5/100

        = 0.075

So, r = 0.075

Let 't' represents the number of years

We need to find the number of years when the car value is 7700 dollars.

y = $7700

Using the formula of exponential decay,

⇒ y(t) = a × (1 - r)^t

⇒ 7700 = 22300 × (1 - 0.075)^t

⇒ 0.3453 = (0.925)^t

⇒ t = 13.63

⇒ t ≈ 13

Therefore, after 13 years the value of the car would be $7700

Learn more about an exponential decay here:

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The selling price of a skateboard is 147 $. The store has 75% markup policy. What uis the selling price of the skateboard

Answers

Answer:

Selling Price = $147

Mark Up = 75%

------------------

The selling price of the skateboard is $84.

What is the average rate of change over the interval 1

Answers

move it up or go look for a clean graph n try to do it

How to solve the equation: -2(-3x-4)=14​

Answers

Answer:

1

Step-by-step explanation:

-2(-3x-4)=14

6x + 8 = 14

6x= 14-8

6x=6

x=1

helps fast plzzzzzzzzz

Answers

Answer:

I believe it would be the third option; 5k = 90

Please let me know if I'm incorrect.

Answer:

5k - 90, is the answer

The Capulet's are building a horse stall for their horse, Shaggy. The length, y, of the stall must be more than twice the width, x. However, they only have enough material to build 50 feet of fencing. Write the system of equations or inequalities used to solve it. Identify one option that would meet the criteria.

Answers

Answer:

y = 18

x = 7

Step-by-step explanation:

Since the Capulet's only have a total of 50 feet of fencing then that will also be the maximum perimeter of the fence and cannot exceed that value. Therefore, using the information provided we can conclude the following

y > 2x

y + y + x + x <= 50ft

2x + 2x + x + x <= 50ft

Now that we have these equations we can first solve for x and then solve for y

2x + 2x + x + x <= 50ft

6x <= 50ft   ... divide by 6

x <= 8.33

y > 2 * 8.33

y > 16.66

Therefore, one possible value would be

90 centimeters tall when 2 years old 100 centimeters tall when 5 do the number of centimeters and the number of years have a proportional relationship?

Answers

Answer:

10

Step-by-step explanation:

Usually you need more data to be sure but based on those two points it would be 10cm every 3 years.

The Children's play area at the Community pool holds a total of 3185 gallons of water it takes 2.5 hours to fill the pool with 1625 gallons of water how many gallons of water does the pool have after 1 hour find the unit rate

Answers

Answer:

650 gallons after 1 hour

Unit rate:650gallons/hour

Step-by-step explanation:

We are given that

Total capacity of pool=3185 gallon

In 2.5 hours water pool fill=1625 gallon

We have to find how many gallons of water fill in the pool after 1 hour and unit rate.

Using unitary method

1625 gallons of water takes time to fill the pool=2.5 hours

1 gallon of  water takes time to fill pool=[tex]\frac{2.5}{1625}[/tex]hours

3185 gallon of water takes time to fill the pool=[tex]\frac{2.5}{1625}\times 3185[/tex] hours

3185 gallon of water takes time to fill the pool=4.9 hours

1 hours , water fill in  pool =[tex]\frac{1625}{2.5}[/tex]gallons

1 hours , water fill in  pool=650 gallons

Unit rate: How many  volumes of water fill in 1 hour.

Unit rate=[tex]\frac{1625}{2.5}=650gallons/hour[/tex]

If p = 15, what is p ÷ 5 - 2?

Answers

Answer:

1

Step-by-step explanation:

p ÷ 5 - 2, If p = 15

15/5 - 2

(15/5=3)

3 - 2 = 1

1 is the answer

Please help .......................

Answers

Answer: slide the triangle to the right 3 times and down 1

Step-by-step explanation:

Matt has 3 different colored T-shirts and 2 different colored shorts

How many outfits can Matt make with these clothes?

Answers

Answer:

Step-by-step explanation:

3 x 2 = 6

Matt can make 6 different outfits with these clothes.

What are the Combinations?

Combinations are the procedures used in mathematics to pick k things from n different items without replacement.

The following formula computes the combinations of k items from n:

(n, k) = n! / k!×(n-k)!

Given that Matt has 3 different colored T-shirts and 2 different colored shorts.

Matt can make 3 x 2 = 6 different outfits with these clothes.

This is because for each T-shirt color, he has 2 options for shorts, and he has 3 different T-shirt colors.

So for each T-shirt color, the number of outfit combinations is 2. And since he has 3 T-shirt colors, the total number of outfits is 3 x 2 = 6.

Learn more about permutation here:

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if x = 7, then 7 = x is an example of which property

Answers

Answer/Step-by-step explanation:

What do you mean by property?

I will guess for now, but if it is not right I will update it.

It would be the associative property since you are flipping the equation around.

Hope this helps :)

If Angela made $75, how many hours did she tutor?

Answers

Answer:

2hours

Step-by-step explanation:

Answer:

2.14285714286 or simplifyed 2.14

Step-by-step explanation:

75 divided by 35= 2.14285714286

Find side x, giving your answer to 1 decimal place.
810
7 cm
40°
Х

Answers

Answer:

10.8

Step-by-step explanation:

By sine rule:

[tex] \frac{x}{ \sin 81 \degree} = \frac{7}{ \sin 40 \degree} \\ \\ x = \frac{7 \sin 81 \degree}{ \sin 40 \degree} \\ \\ x = \frac{7 \times0.9876883406 }{0.6427876097} \\ \\ x = \frac{6.91381838}{0.6427876097} \\ \\ x = 10.755992 \\ \\ x \approx 10.8[/tex]

Using the tangent formula we can write as,

Tan 40° = 7 / x

Tan 40 = 0.84

The value of x is 8.3 cm

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

A triangle with angle 40° angle 81° and 7 cm on on side of the triangle.

Using the tangent formula we can write as,

Tan 40° = 7 / x _____(1)

Now,

Tan 40 = 0.84

From (1) we get,

0.84 = 7 / x

x = 7 / 0.84

x = 8.3 cm

Thus,

The value of x is 8.3 cm

Learn more about trigonometric identities here:

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Marisa spent $8 on a movie ticket. Then she spent $5 on
popcorn and one half of what was left on a drink. She
had $2 left.
How much did she have initially?

Answers

She initially had 17 dollars.
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