Use the Law of Cosines to find the measure of ∠F. Round to the nearest degree.
f = 5, g = 6, h = 7

Use: f² = g² + h² – 2gh cos F

Answer:

x=63

Step-by-step explanation:

The degree measure of a line is 180 degrees.

180 degrees is made up of 117 and x

117+x=180

x=63

9514 1404 393

Answer:

  x = y = 12

Step-by-step explanation:

A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...

  1 : 1 : √2

Multiplying these ratios by 12 gives ...

  12 : 12 : 12√2 = x : y : 12√2

The side lengths x and y are both 12 units.

Answer:

33.92

Step-by-step explanation:

Answer:

i think its num 4

Step-by-step explanation:

Answer:

167 books.

Step-by-step explanation:

30% =  50 books

1% = 50/30

100% =  (50/30) * 100

= 167 books.

Answer: 664

Step-by-step explanation:

Take the amount of days, and multiply it by the miles per day

so

8 x 83 = 664 miles

Hope this helps!! (^_^)

The day in June, Jessica volunteered at both locations if she volunteers at the library every 6 days and at a veterinarian's office every 10 days is June 30, so option F is correct.

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

For instance: The LCM of 2 and 3 is 6.

Given:

Jessica volunteers library every 6 days,

Jessica's veterinarian's office, every 10 days,

So for her visit to both, the place takes the LCM of 6 and 10,

LCM of 6 and 10 = 30,

Hence, on the 30th day, she visits both places so if she starts volunteering from the 1st of June then she will visit both places on the 30th of June.

Therefore, The day in June, Jessica volunteered at both the location if she volunteers at a library every 6 days and at a veterinarian's office every 10 days. Jessica’s first visit to the library was on June 6 and her first visit to the veterinarian's office was on June, 1st is June 30.

To know more about LCM:

https://brainly.com/question/20739723

#SPJ2

Answer:June 30th

Step-by-step explanation:

So Jessica volunteers every 6 days and 10 days at different places.From June 6th and June 1st you see which one is good for both of them and then June 30th is the answer.

Answer:

a[tex] \alpha [/tex]

1/b

a=k/b

k=a×b

where a=9

b=2

k=?

k=9×2

k=18

where a=?

b=6

k=18

a=k/b

a=18/6

a=3

Answer:

100

Step-by-step explanation:

−300 + 174.83 = -125.17. A is the answer!

Answer:

Step-by-step explanation:

To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side

[tex]44 - 4 = -2y ----equation 1[/tex]

[tex]10 = 7x + 4y --- equation 2[/tex]

We can simply evaluate equation 1 to have

[tex]40 = -2y\\y = 40/-2 = -20\\[/tex]

y = -20

From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.

Answer:

screenshot

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZ

Answer:

median

Step-by-step explanation:

Answer: An equation may have more than one solution, or the solution(s) may be complex, rather than real, but it will always have one solution - and sometimes more than one.

Step-by-step explanation:

Answer:

The solution is 4 >/= -21

4 is greater than or equal to negative 21

Step-by-step explanation:

7x + 4 >/= 7(x - 3)

We'll start by distributing the y7 to the items in parentheses

7x + 4 >/= 7x - 21

Subtract 7x from both sides

4 >/= -21

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  A.  15.250

Step-by-step explanation:

The applicable trig function is the cosine function:

  Cos = Adjacent/Hypotenuse

  cos(57°) = y/28

  y = 28×cos(57°) ≈ 15.24989

  y ≈ 15.250 . . . . matches choice A

_____

Additional comment

From your knowledge of "special" triangles, you know that y would be 14 if the angle were 60°. Of course, the length must be shorter than 28, so answer choices B and C are immediately eliminated. The fact that the length is closer to half of 28 than it is to 28 makes choice A look like a pretty good guess.

Exponentiation is not clear

If so Exponentiation

a²b²+2ab(a²+1)+a²-b²-1

this answer

a²b²+2a³b-b²+2ab+a²-1

As for if so Exponentiation

[tex]a²b²+2ab(a²+1)+a² - b {}^{2 - 1} [/tex]

this answer

a²b²+2a³b+2ab+a²-b

Answer:

288

Step-by-step explanation:

First, find how much of the desk each person can finish in 1 hour. Paul can finish 1/12 because he finishes the whole thing in 12 hours and Shawn can finish 1/8 because he finishes the whole thing in 8 hours.

Then find a common denominator and add those together to find how much they could do together in 1 hour.

2/24 + 3/24 = 5/24 So they can finish 5/24 of the desk in 1 hour if they work together.

So to finish 24/24 of the desk, they'll need to do 4 hours (20/24 of the desk) and 48 minutes (4/24 of the desk)

It asked for the number of minutes, so multiply 4 by 60 and add 48 to find the total number of minutes. 4*60 = 240 and 240 + 48 = 288

So it will take them 288 minutes to build the desk together.

Answer:

P = 3/8

q = 1/2

Step-by-step explanation:

(3/8)^3/8 × (3/8)^1/8 = P^q

Because of the same base, pick one of the bases

Then, add the powers

(3/8)^3/8 × (3/8)^1/8 = P^q

= (3/8)^3/8 + 1/8

= (3/8)^(3+1)/8

= (3/8)^4/8

= (3/8)^1/2

Therefore,

P^q = (3/8)^1/2

Where,

P = 3/8

q = 1/2

P^q = (3/8)^1/2

= √(3/8)

Answer: 88 cm^3

Step-by-step explanation:

= 1/2 • bh

= 1/2 • 6 • 8

= 24

= 1/3 • 24 • 11

= 88 cm^3

The volume of the oblique triangle-based pyramid, having dimensions 6 cm, 8 cm, 11 cm, and 36.2 cm, is 88 cm³.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The dimension of the pyramid are 6 cm, 8 cm, 11 cm, and 36.2 cm,

Calculate the volume as shown below,

The Volume of the pyramid = 1 / 3 × Area of the triangle × height

The volume of the pyramid =  1 / 3 × 1 / 2 × 6 × 8 × 11

The volume of the pyramid = 528 / 6

The volume of the pyramid = 88

Thus, the volume of the pyramid is 88 cm³.

To know more about volume:

brainly.com/question/13807002

#SPJ2

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The dot product is the sum of products of corresponding coefficients.

  u·v = (4)(-1) +(0)(2) = -4

  u·v = -4