Lucas weighs 78kg. Convert his weight to pounds. Round to the nearest pound.

Answer:

|-30| + |25|

Step-by-step explanation:

The helicopter is 25 ft above the ledge. The stunt actor is 30 below the edge. The distance from the helicopter to the stunt actor is the sum of the two distances, 25 + 30 = 55 ft. The correct expression must equal 55.

A. |-30| + |25| = 30 + 25 = 55

B. -30 - 25 = -55

C. -30 + 25 = -5

D. |-30| - |25| = 30 - 25 = 5

The correct expression is |-30| + |25| since it it the only expression that equals 55.

Step-by-step explanation:

The opposite side is the side of the triangle facing the given angle. The adjacent side is the side that the given angle and the right angle lies on. The hypotenuse side is the side facing the right angle. (The hypotenuse side usually looks like a slanted line. Do note that this is not true if your adjacent and hypotenuse side is not horizontal and vertical respectively on the plane of your paper.)

I'll explain a bit more below using the some of the questions.

Q1) The given angle here is 27°.

X is facing the given angle hence it is the opposite side.

The side that is 10 units long is the adjacent side as 27° and the right angle sits on it.

tanθ= opp/adj

tan27°= x/ 10

x= 10(tan 27°)

x= 5.1 units (nearest tenth)

Q3) x is the adjacent side, while the side that is 7 units long is the hypotenuse side.

cosθ= adj/hyp

cos39°= x/7

x= 7(cos39°)

x= 5.4 units (nearest tenth)

Q4) x is the hypotenuse and the opposite side is 8 units long.

sinθ= opp/hyp

sin46°= 8/x

x(sin46°)= 8

x= 8/ sin46°

x= 11.1 units (nearest tenth)

Q5) x is facing the given angle, hence it is the opposite side. The adjacent side is given here, which is 6 units long.

tanθ= opp/adj

tan23°= x/6

x= 6(tan 23°)

x= 2.5 units (nearest tenth)

Feel free to ask if you still do not understand any concepts :)

sinθ= opp/hyp

cosθ= adj/hyp

tanθ= opp/adj

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 9) and (x₂, y₂ ) = (12, 20)

m = [tex]\frac{20-9}{12-4}[/tex] = [tex]\frac{11}{8}[/tex] → C

Answer:

C

Step-by-step explanation:

So you should be looking for the right function.

Remember that any number to the power of 0 is by definition 1.

3 * 1 = 3

In the graph you see point (0,3), so what you do is to check for each function if f(0)=3.

So if you substitute x= 0 the result should be 3.

3 * 1 = 3

The two functions that comply with that, are the ones in answers B or C.

In the graph you can also see point (1,6). So if you substitute x= 1 the result should be 6.

The only function that complies with that is in answer C.

9514 1404 393

Answer:

  3

Step-by-step explanation:

The image of line XY is 9 units after dilation by a factor of 3, so the original length of XY is 9/3 = 3.

Answer:

short answer middle picture :)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

a=5

Step-by-step explanation:

3a-5b=10

a+7b=12

multiply the second row with -3

-3a-21b=-36 now we gonna add this to the first row

3a-5b=10

_________+

-26b=-26 b=1 now we gonna put in one of the equations to find a

a+7b=12

a+7.1=12 a=5

Answer:

i hope its clear . the answer is a = 5

Answer:

Step-by-step explanation:

function 1

slope=(1-0)/(0+2)=1/2

or slope=(4-1)/(2-0)=3/2

which is not same.

so it is not linear.

Function 2.

slope=(1+2)/(-3+4)=3/1=3

or slope=(4-1)(-2+3)=3/1=3

or slope=(7-4)/(-1+2)=3/1=3

slope is same. so it is linear.

Answer:

0

Step-by-step explanation:

we can use difference of squares to factor the equation into (x+y)(x-y)/(x-y)

The (x-y) cancel out so the fraction becomes (x+y)

The two (x+y) also cancel out so it becomes 0

Answer:

0

Step-by-step explanation:

[tex]x+y-\dfrac{x^2-y^2}{x-y}= \\\\\\x+y-\dfrac{(x+y)(x-y)}{x-y}= \\\\\\x+y-(x+y)= \\\\\\\boxed{0}[/tex]

Hope this helps!

47.5 millimeters longer

The pencil is 47.5 millimeters longer than the crayon.

To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.

Given that length of the pencil = 13.5 centimeters

Length of the crayon = 87.5 millimeters

To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.

So, the length of the pencil in millimeters is:

13.5 centimeters × 10 millimeters/centimeter = 135 millimeters

Now we can calculate the difference in length between the pencil and the crayon:

Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters

Subtracting the lengths, we find that the pencil is:

135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.

Therefore, the pencil is 47.5 millimeters longer than the crayon.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

7/8 < 15/16

Step-by-step explanation:

Get a common denominator of 16

7/8 *2/2

14/16

14/16 < 15/16

so 7/8 < 15/16

Answer:

6<x<8? I think this is the answer. I am not sure so please do not rely on me. I am not the smartest!

Step-by-step explanation:

Answer:

1.41

Step-by-step explanation:

3/4 = 75/100 = 0.75

0.75 + 0.66 = 1.41

Answer:

1.41

Step-by-step explanation:

4 divided by 3 = 0.75

0.66 + 0.75 = 1.41

Answer: 2

Step-by-step explanation:

Answer:

The Radius of the circle of center (-4, 3) is 2.

Radius = 2

Step-by-step explanation:

This is the general form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

Let's convert this to standard form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

[tex]x^2+y^2+8x-6y=-21[/tex]

Group/organize [tex]x[/tex] and [tex]y[/tex] terms:

[tex]x^2+8x+y^2-6y=-21[/tex]

[tex](x^2+8x)+(y^2-6y)=-21[/tex]

Now, let's begin the process to complete the square in both parentheses.

[tex](x^2+8x+16)+(y^2-6y+9)=-21+16+9[/tex]

[tex](x+4)^2+(y-3)^2=4[/tex]

Answer:

BE = 3.6 units

BD = 12.4 units

Step-by-step explanation:

From the picture attached,

Since DE║AC, ΔBDE and ΔABC will be similar.

In these similar triangles corresponding side will be in the same ratio.

[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]

[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]

[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]  

1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]

1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]

1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]

1 = [tex]BE(\frac{3+2}{48})[/tex]

BE = [tex]\frac{18}{5}[/tex]

BE = 3.6 units

Therefore, AD = BE = 3.6 units [given]

Now BD = AB - AD

              = 16 - 3.6

              = 12.4 units

Answer:

480

Step-by-step explanation:

The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480

Step-by-step explanation:

1.Draw a triangle

2. Measure one of the sides of the triangle

3. Place a point at the midpoint of one of the sides of the triangle.

4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.

5. Repeat steps 2-4 for the remaining two sides of the triangle.

Answer:

no

Step-by-step explanation:

y = –5x + 4

Substitute the point into the equation

0 = -5(4) +4

0 = -20+4

0 = -16

This is not true so it is not a solution to the equation

Answer:

false

Step-by-step explanation:

Answer: A. True  because multiplying a negative number by a negative number gives you positive.

Step-by-step explanation:

Answer:

3x+6y =0

-6y

3x=-6y

x=-2y

Step-by-step explanation:

Answer:

Option C. 90.0 g glucose per 500 cm3 water

Step-by-step explanation:

1.00 M (mol/dm3) aqueous solution of glucose (C6H12O6) means that 1 mole of glucose is dissolved in 1dm³ (1000cm³) of water.

The concentration of a substance is defined as the mole of solute per unit volume of solvent (water) in dm³.

Option A is wrong since it state: 180g of C6H12O6 per 1000cm³ of solution. Concentration is always expressed as per 1000cm³ or dm³ of water.

For option B:

We shall determine the number of mole of C6H12O6, followed by the concentration.

This is illustrated below:

Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 180g/mol

Mass of C6H12O6 = 10g

Mole = Mass /Molar Mass

Mole of C6H12O6 = 10/180 = 0.056 mole.

Volume of water = 10cm³ = 10/1000 = 0.01dm³

Concentration = mole /Volume

Concentration = 0.056/0.01 = 5.6mol/dm³

Option B is wrong

For option C:

We shall determine the number of mole of C6H12O6, followed by the concentration.

This is illustrated below:

Molar mass of C6H12O6 = 180g/mol

Mass of C6H12O6 = 90g

Mole = Mass /Molar Mass

Mole of C6H12O6 = 90/180 = 0.5mole

Volume of water = 10cm³ = 500/1000 = 0.5dm³

Concentration = mole /Volume

Concentration = 0.5/0.5 = 1mol/dm³

Option C is correct.

For option D is wrong as well as it states 0.1g of C6H12O6 per cm³ of solution. Concentration is always per 1000cm³ or dm³ of water.

From the above illustrations, option C is the correct answer.

Answer:

6x³+14x²-5x-3

Step-by-step explanation:

I'm assuming 2x2 is 2x²

(2x²+4x–3)(3x+1)=

6x³+2x²+12x²+4x-9x-3=

6x³+14x²-5x-3

1. 6x³+10x²-5x+3

2. 6x³+14x +5x-3

3. 6x³+14x²-5x-3

4. 6x³-10x²-5x-3

Answer:

-4

Step-by-step explanation:

Given the following function:

f(x) = -4x + 6

We have to find the difference quotient of​ f(x); that​ is,

[f(x + h) - f(x)]/h

So, we ned to compute f(x + h) as follows:

f(x+h) = -4(x+h) + 6 = -4x - 4h + 6

Replacing into the difference quotient, we get:

[f(x + h) - f(x)]/h = [-4x - 4h + 6 - (-4x + 6)]/h

[f(x + h) - f(x)]/h = [-4x - 4h + 6 + 4x - 6)]/h

[f(x + h) - f(x)]/h = [- 4h)]/h

[f(x + h) - f(x)]/h = -4

Answer:

Volume of the box = [tex]2244inches^{3}[/tex]

Step-by-step explanation:

Given

Number of reams in one stack = 4

Number of stacks in the box = 3

Dimensions of a ream = 8.5 inches, 11 inches and 2 inches respectively

To find

Volume of one ream = Length × Breadth × Height

                                   = 8.5 × 11 × 2

                                   = [tex]187 in^{3}[/tex]

Volume of all the four reams in one stack = 187 × 4

                                                                      = [tex]748in^{3}[/tex]

Volume of all the three stacks in the box = 748 × 3

                                                                    = [tex]2244in^{3}[/tex]

∴ Volume of the box = [tex]2244inches^{3}[/tex]

Answer:

The answer is 2244 in3. hope this helps☻♥.

Answer:

if you divide the first 2 in half you get the one in the bottom, if you unite each 2 in bottom you get the ones in top, its all i could think of, sorry

Step-by-step explanation:

Answer:

top right corner

Step-by-step explanation:

Step-by-step explanation:

The perfect square numbers between 100 and 200 are :

10^2 =100

11^2 =121

12^2 =144

13^2 =169

14^2 =196

Answer:

B.) -16

Step-by-step explanation:

-10=-2+1/2d

-8=1/2d

d=-8/1/2

d=-16

So B

Hey!!

5x(2x-3y)

=5x*2x- 5x*3y

= 10x^2-15xy

So the right answer is of option A

hope it helps.....

Answer:

the answer is 10x^2-15xy

Step-by-step explanation:

i cant make it any simpiller