Addition prop of equality
subtraction prop of quality
multiplication prop of equality
Division prop of equality
simplifying
distrib prop

[tex]\\ \rm\longmapsto cot40=\dfrac{7.6}{EF}[/tex]

[tex]\\ \rm\longmapsto EF=\dfrac{7.6}{cot40}[/tex]

[tex]\\ \rm\longmapsto EF=\dfrac{7.6}{1.19}[/tex]

[tex]\\ \rm\longmapsto EF=6.38units[/tex]

Answer:

[tex]\displaystyle 6,38\:units[/tex]

Step-by-step explanation:

You would set your proportion up like so:

[tex]\displaystyle \frac{7,6}{EF} = cot\:40° \\ \\ 7,6 = EFcot\:40° → 6,3771571969... = \frac{7,6}{cot\:40°} \\ \\ 6,38 ≈ EF[/tex]

I am joyous to assist you at any time.

Answer:

the correct answer is B) 10 + 10 + x = 50

Answer:

15.5kg

Step-by-step explanation:

12.4kg × 5 = 62kg,

= 62kg - (14.6kg + 11.4kg + 10.3kg + 10.2kg)

= 62kg - 46.5kg

= 15.5kg

Graphs are used to show relationships between related entities. See attachment for the graph that shows the relationship between the number of students and the number of buses.

Given that:

[tex]People = 45\\[/tex]

[tex]Bus = 1[/tex]

The given parameters can be represented as:

[tex](x_1,y_1) = (45,1)[/tex]

Where:

[tex]x \to[/tex] people

[tex]y \to[/tex] bus

When there is nobody (i.e.  0 people), then the number of bus will also be 0. So, we have:

[tex](x_2,y_2) =(0,0)[/tex]

To sketch the graph that represents the given relationship, we simply plot points (0,0) and (45,1) and connect both points

See attachment for the graph

Read more about graphs at:

https://brainly.com/question/1971145

Answer:

64

------

125

Step-by-step explanation:

(4/5)^3

We can rewrite this as

4^3

----------

5^3

64

------

125

Answer:

V = 904.32 ft^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The radius is 6 and pi = 3.14

V = 4/3 ( 3.14) (6)^3

V = 904.31999 ft^3

Rounding to the hundredths place

V = 904.32 ft^3

[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: of \: sphere \: = \: \frac{4}{3} \: \pi \: {r}^{3} }}}}}\end{gathered}[/tex]

[tex] \bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: \frac{4}{3} \: \times \: 3.14 \: \times \: {6}^{3} \\ [/tex]

[tex]\bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: \frac{4}{3} \: \times \: 3.14 \: \times \:216[/tex]

[tex]\bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: \frac{4}{ \cancel3} \: \times \: 3.14 \: \times \: \cancel{216 \: {ft}^{3} } \: \: \: ^{72 \: {ft}^{3} } [/tex]

[tex]\bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: 4 \: \times \: 3.14 \: \times \: 72 \: {ft}^{3} [/tex]

[tex]\bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: 12.56 \: \times \: 72 \: {ft}^{3} [/tex]

[tex]\bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: 904.32 \: {ft}^{3} [/tex]

Answer: 30 million people must be added.

Step-by-step explanation: 50% of 144 million is 72 million. You add these to find Indonesia’s population. 144 million + 72 million= 216 million. If 216 million is only 72% of the US population, then divide 216 million by 72 to find 1%. 216 million/72=3 million. Multiply this by 100 to find the US population. 3 million times 100= 300 million. Now, multiply Canada’s population by 10. 33 million times 10= 330 million. Finally, subtract 300 million from 330 million to find the amount needed to make the US population 10 times that of Canada’s. 330 million-300 million=30 million. So , you need 30 million people in order to make the US population 10 times that of Canada’s.

Answer:

hope this help you a lot

have a great day

Answer:

$3,300

Step-by-step explanation:

The salary given falls in the third range, meaning it should get a 5.5% income tax on the $60,000.

5.5% = 0.055

0.055 * $60,000 = $3,300

Therefore, the state income tax owed on the provided salary is $3,300.

Answer:

Step-by-step explanation:

The lengths of the sides of a 30-60-90 triangle are in the ratio 1:√3:2.

Let the length of the side opposite the 30° angle be 1, then the length of the side opposite the 60° angle is √3, and the length of the hypotenuse is 2.

sin(30°) = (leg opposite the 30° angle)/hypotenuse = 1/2

cos(60°) = (leg adjacent to the 60° angle)/hypotenuse = 1/2

Answer:

770,7272727272727

Step-by-step explanation:

Answer:

8478 divided by 11= 770.7272727

Answer:

D

Step-by-step explanation:

let the width = w

w = w

L = 4 + w

Area = 4*w + 25 = L * w

4w + 25 = L * w                  Substitute for the length

4w + 25 = (w*(w + 4))

4w + 25 = w^2 + 4w          Subtract 4w from each side

w^2 = 25                            Take the square root.

w = +/- 5

- 5 has no meaning.

w = 5

9514 1404 393

Answer:

  58°

Step-by-step explanation:

The measure of arc HI is the supplement of the angle shown:

  arc HI = 180° -122° = 58°

Answer:um

Step-by-step explanation:

Answer:

y= -(1/6)x -2

Step-by-step explanation:

We know:

y= mx +b is the general equation of the line

Was given:

y= 6x +3, has the slope m=6

Find the equation of the line

y= -(1/6)x + b, perpendicular lines have their slope negative reciprocal m=-1/6

Find the y-intercept that is b

for point (x=12, y= -4) the equation of our line becomes

-4 = -(1/6)(12) + b, multiply a fraction and a number  (a/b)*c = ab/c

-4 = -12/6 +b, simplify the fraction

-4 = -2 + b , add 2 to both sides

-4+2 = -2+2 +b , solve for b

-2 = b

The equation of the line that passes through the point (12,-4) and is perpendicular to the line with the equation y=6x +3 is :

y= -(1/6)x -2

Answer:

2*√2

Step-by-step explanation:

You need to use the trigonometrical function of angle (You should use the side sqrt2 and x to find the x). Take any acute angle (for example, 60 degrees)

The cos of this angle is equal to the ratio of adjoined leg (sqrt2) to the hypotenude (the side opposite to right angle, it is x)

cos60degrees= sqrt2/ x

1/2= sqrt2/x

x= 2*sqrt2= 2*√2

Answer:

I am pretty sure that your answer would be 3.

Step-by-step explanation:

The reason why is because if B if half of line segment AD and AD is equal to 12, then B must be equal to 6 since half of 12 is 6. Next, since C is the mid-point for line segment BD then C must be 3 since half of 6 is 3. And finally, that means line segment BC is three since it is 1/2 of BD.

Hope this helps! :)

Answer:

BC = 3

Step-by-step explanation:

If B is the midpoint of AD, that means AB = BD

AD = 12 so BD = 1/2 of AD  and BD = 6

If C is the midpoint of BD, that means BC = CD

BD = 6 so BC = 1/2 of BD  and BC = 3

Answer:

b. The solution is a non empty set.

Step-by-step explanation:

There are no common elements.

Answer:

Step-by-step explanation:

149 11/16" ÷ 12 = 12.4739583333333333... ft

We subtract off the whole number part and call it 12'

0.4739583333333333 × 12 = 5 11/16 "

149 11/16" = 12'  5 11/46"

120 7/8" ÷ 12 = 10.07291666666

We subtract off the whole number part and call it 10'

0.07291666666 × 12 = 7/8"

120 7/8" = 10'  7/8"

The third one is moot as 0 1/8" equals 0' 1/8"

I suspect your photo framing has cut off some important numbers.

9514 1404 393

Answer:

 D.  y≤1/3x+6; y>−3x−6; y>x

Step-by-step explanation:

The shading is below the solid line, so the answer must include the form ...

  y ≤ ( )

That solid line has a rise of 1 for each run of 3, so its slope is ...

  m = rise/run = 1/3

The only answer choice with y ≤ 1/3x + ( ) is the last one.

Answer:

A

f(x) = 1/4 x^2 + 3

Resultado

f(x) = x^2/4 + 3

x^2 + 12 = 4 f(x)

Forma alternativa

f(x) = 1/4 (x^2 + 12)

Raíces complejas

x = -2 i sqrt(3)

x = 2 i sqrt(3)

Answer:

convert the 27 degree into grades

Answer:

Step-by-step explanation:

It’s a cube with edge length of 12 cm.

The cube has six faces, and the are ma if each face is 144 cm²

Total surface area = 6×144 = 864 cm²

Answer:

cube    864

Step-by-step explanation:

Answer:

nbbhhghhhjjjjjjjjjkjjjjnnmmmmmmmmbv b b j

B.The failures of the past should inspire people to accomplish more in the future.

Answer:

8.6 N

Step-by-step explanation:

Let T be the unknown force

Let θ be the slope of the inclined plane to horizontal

Let φ be the angle of the force to the plane

Let μ be the coefficient of static friction

Let m be the mass

Let N be the Normal force of plane on mass

Let Ff be the friction force which will have a maximum at μN

Let g be gravity

Forces acting parallel to the plane. Upslope is positive

For minimum force T, friction will be max and acting upslope.

                               F = ma

Tcosφ - mgsinθ + Ff = m(0)

Tcosφ - mgsinθ + μN = 0

Tcosφ - mgsinθ + μ(mgcosθ - Tsin(θ + φ)) = 0

T(cosφ - μsin(θ + φ)) + μmgcosθ - mgsinθ = 0

T  = mg(sinθ - μcosθ) / (cosφ - μsin(θ + φ))

T  = 2(9.8)(sin30 - 0.25cos30) / (cos30 - 0.25sin(30 + 30))

T = 8.5547537...