Find X.
Round to the nearest tenth.
Z
17 ft
8 ft
Х
16 ft
Y
X= [?]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Fnter

9514 1404 393

Answer:

  (b)  x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

  x +2y = 8

__

We can check the other choices:

  x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

  2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

Getting there from scratch

The standard form equation for a line can be written from ...

  (y2 -y1)x -(x2 -x1)y = constant

  (-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

  -4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

  x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

 x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

  x +2y = 8

Answer:

B on edge

Step-by-step explanation:

Answer:

Solution given:

radius=r=2cm

height=h=9cm

Volume of cone =⅓πr²h=⅓×π×2²×9=36π0r 113.1cm³

The required volume is 36π0r 113.1cm³

Answer: Y=83

Step-by-step explanation:

Answer:

y = 92

Step-by-step explanation:

plug in x = 27 into the equation y = 3x + 11,

y = 3(27) + 11

=> y = 81 + 11

=> y = 92

Answer:

The answer would be B  [tex]120ft^{3}[/tex]

Step-by-step explanation:

volume of triangular prism is 30 and volume of the cube is 90 :)

Answer:

[tex]\sin L = \frac{3}{5}[/tex]

[tex]\tan N = \frac{4}{3}[/tex]

[tex]\cos L = \frac{4}{5}[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

[tex]LN^2 = LM^2 + MN^2[/tex]

[tex]10^2 = LM^2 + 6^2[/tex]

[tex]100 = LM^2 + 36[/tex]

Collect like terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

Take positive square root

[tex]LM=8[/tex]

Solving (a): Sin L

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

[tex]\sin L = \frac{6}{10}[/tex]

Simplify

[tex]\sin L = \frac{3}{5}[/tex]

Solving (b): tan N

[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan N = \frac{LM}{MN}[/tex]

[tex]\tan N = \frac{8}{6}[/tex]

Simplify

[tex]\tan N = \frac{4}{3}[/tex]

Solving (c): cos L

This calculated as:

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

[tex]\cos L = \frac{8}{10}[/tex]

Simplify

[tex]\cos L = \frac{4}{5}[/tex]

Solving (d): sin N

This is calculated using:

If [tex]a + b = 90[/tex]

Then: [tex]\sin a = \cos b[/tex]

So:

[tex]\sin N = \cos L[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Answer:

During halftime of a footballgame, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 48 feet above the field.

Answer:

The dimension of the room is 8m by 3m

The length and width of the rectangle are 8 meters and 2 meters.

Given,

A rectangular room is 5 meters longer than it is wide.

Perimeter = 22 meters.

We need to find the dimension of the room.

A rectangle perimeter is given by :

P = 2 ( length + wide )

Find the length and width of the rectangle.

Let width = W

Let length = L

L = W + 5

Find the perimeter of the rectangle.

P = 2 ( L + W )

P = 22

22 = 2 ( W + 5 + W )

Divide both sides by 2.

11 = W + 5 + W

11 = 2W + 5

Subtract 5 on both sides.

11 - 5 = 2W + 5 - 5

6 =  2W

Divide both sides by 2.

3 = W

W = 3

We see that W = 2 and L = W + 5 = 3 + 5 = 8.

Thus the length and width of the rectangle are 8 meters and 2 meters.

Learn more about the perimeter of a rectangle here:

https://brainly.com/question/897975

#SPJ2

Answer:

Kela will be able to travel for 7 stops before her money runs out.

Step-by-step explanation:

Since Kela wants to visit a friend who lives 8 kilometers away, and she'll ride the subway as she can before walking the rest of the way, and she needs to buy an access pass that costs $ 5.50 and there is also a fee of $ 1.25 for each stop, if Kela doesn't want to spend more than $ 15 on the trip, to determine the largest number of stops she can afford, the following calculation must be performed:

(15 - 5.5) / 1.25 = X

9.5 / 1.25 = X

7.6 = X

Therefore, Kela will be able to travel for 7 stops before her money runs out.

Answer:

a and b

Step-by-step explanation:

i think b i know a for sho

Answer:

32w+3

Step-by-step explanation:

8x4w=32w and you are left with the 3, so it ends up 32w+3

Ani do niot know lol

Step-by-step explanation:

Answer:

J. 20ft

Step-by-step explanation:

1 2/3 = 5/3

5/3 * 12/1 = 60/3

60/3 = 20

Answer:

x³/4z²

Step-by-step explanation:

Invert and multiply:

48x^5y²/12z^5 x z³/16x²y²=

(48x^5y²)(z³)/(16x²y²)(12z^5)

the y² cancel out

48÷16=3 (on top)

x^5÷x²=x³

12z^5/z³=z²(on bottom)

This leaves a 3x³ on top and 12z² on the bottom.  3÷12=4 (on bottom):

3x³/12z²

x³/4z²

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.

[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]

Take the square root of both sides

[tex]15=c[/tex]

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

Answer:

12r ft

Step-by-step explanation:

you're welcome have a nice day

Answer:

x/9

Step-by-step explanation:

x divided by 9

=> x ÷ 9

Take that and turn it into a fraction

=> x/9

hope this helps and is right. p.s. i really need brainliest :)

Answer:

45

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A quadratic trinomial has the form of ax² + bx + c

e.g. 3x² + 4x + 2

A quadratic binomial has the form of ax² + bx

e.g. 3x² + 4x

A cubic binomial has the form : ax³ + bx

3x³ + 4x

9514 1404 393

Answer:

Step-by-step explanation:

A graphing calculator shows the points of interest nicely.

  The rocket splashes down after 48.0 seconds.

  The maximum height is 2833 meters above sea level.

__

The equation for the motion is ...

  h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m

The vertex (maximum height) is found at ...

  t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds

Then the maximum height is ...

  h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters

The value of t when h(t) = 0 can be found using the quadratic formula.

  t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8

  t ≈ 48.023 ≈ 48.0 . . . seconds

Answer:

YES ITS MEDIAN!!!

Step-by-step explanation:

Answer:

yes you are correct it is the median.

Step-by-step explanation:

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

Answer:

C (95 people)

Step-by-step explanation:

380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)

Answer:

C.95

Step-by-step explanation:

25/100=0.25

380*0.25=95

Answer:

Do 16 times pi.

Step-by-step explanation:

The closest answer is D.

Answer:

8 (option 1)

Step-by-step explanation:

Mark it as option 1 => 8 is the crt answer

2pi r = 16

r = 8

Answer:

Step-by-step explanation:

1) the formula for the area of the square is:  side^2

2) by solve the square root of the area

3) √81 ; √89

4) the side of the first square is a rational number, in fact Its value is 9, a number that can be expressed as a fraction (9/1).

the side of the second square is irrational, because √89 can‘t be expressed with a fraction, in fact it is a decimal number whose figures don’t repeat.

Answer:

Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6

Answer:

0.1249

Step-by-step explanation:

that's what answer my calculator gives me. Hope that helped. <3

xoxo

Answer:

6/48 or 1/8 when simplified

Step-by-step explanation:

Answer:

1500 millimeters is your answer

Answer:

Phil ate more

Step-by-step explanation:

The LCD of both fractions is 9. Thus,

Phil ate 6/9 of a pizza while

Erica only ate 4/9 of the same sized pizza

Answer:

x=7°      y=4°

Step-by-step explanation:

7x+131=180

7x=180-131=49

x=49/7=7°

11x+y+99=180

77+y+99=180

y=180-99-77

y=4°

Answer:

f(4) = 7

Step-by-step explanation:

The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.

In our case

f(a) = 2(a + 4) -9

could be rewritten as

y = 2(a + 4) - 9

the thing on the inside of the parentheses signifies what the equation is dependent on.

so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.

f(4) = 2((4) + 4) - 9

Now, just follow the order of operations

f(4) = 2(8) - 9

f(4) = 16 - 9

f(4) = 7

Answer:

-10

Step-by-step explanation:

Answer:

- 10

Step-by-step explanation:

- √100

= - 10

( - 10 is a real number )

Any angle that measures less than 90 degrees