Which ratio is equivalent to 7:3

A : 28 : 12
B : 49 : 9
C : 21 : 7
D : 12 : 8

Answer:

54x^2 + 10x

Step-by-step explanation:

I'll do problems 13 and 14 to get you started.

=====================================================

Problem 13

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

Explanation:

Refer to the diagram below for problem 13. Since BD is a tangent of the circle, this means angle ABD is 90 degrees, and furthermore x+y = 90. This solves to y = 90-x.

If we focus on triangle ABC, then we can add the interior angles and set the sum equal to 180

A+B+C = 180

z+y+y = 180

z+2y = 180

z+2(90-x) = 180 .... plug in y = 90-x

z+180-2x = 180

z-2x = 180-180

z-2x = 0

z = 2x

We'll use this later.

Now move onto triangle ABD. This is a right triangle due to angle ABD being 90 degrees. The acute angles z and 26 are complementary, meaning they add to 90. So,

z+26 = 90

z = 90-26

z = 64

Now plug this into z = 2x and solve for x

z = 2x

64 = 2x

2x = 64

x = 64/2

x = 32

=====================================================

Problem 14

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

Explanation:

Refer to the image shown below for problem 14. Like before, I've added various labels to it to help find the angle we're after (the red angle x).

Note how I've drawn a dashed line from point A to point D. This splits up quadrilateral ABCD into two triangles ABD and ACD. These triangles can be shown to be congruent using the HL (hypotenuse leg) theorem.

The congruent triangles also implies that angle DBC and angle BCD are the same measure (both are shown in green as the variable y).

Focus on triangle BCD. It has interior angles of: y, y and 62. Add them up, set the sum equal to 180.

y+y+62 = 180

2y+62 = 180

2y = 180-62

2y = 118

y = 118/2

y = 59

As the image attachment mentions, the angles x and y add to 90 degrees. This is because angle ABD is 90 degrees, due to segment BD being tangent to the circle. So x+y = 90 leads to x = 90-y, and therefore,

x = 90-y

x = 90-59

x = 31

Side note: it is not a coincidence that we ended up with half of the value of 62.

Answer:

35815

Step-by-step explanation:

just subtract

Answer:

35,815 people rooted for the home team.

Step-by-step explanation:

Subtract the total people watching by the people rooting for the away team.

39,945 - 4,130 = 35,815

Hope this helps! :)

Answer:

Step-by-step explanation:

7,802 in

Answer: An increase in demand, all other things unchanged, will cause the equilibrium price to rise; quantity supplied will increase. A decrease in demand will cause the equilibrium price to fall; quantity supplied will decrease. ... A decrease in supply will cause the equilibrium price to rise; quantity demanded will decrease.

Answer:

A

Step-by-step explanation:

[tex]\frac{1}{5} (150x-80y+50-50x-25y+20)[/tex]

step 1 apply the 1/5 to everything that inside of the parenthesis

[tex]\frac{150x}{5} =30x\\\\\frac{-80y}{5} =-16y\\\\\frac{50}{5} =10\\\\\frac{-50x}{5} =-10x\\\\\frac{-25y}{5} =-5y\\\\\frac{20}{5} =4[/tex]

we now have 30x - 16y + 10 - 10x - 5y + 4

Step 2 combine like terms

30x - 10x = 20x

-16y - 5y = - 21y

10 + 4 = 14

we're left with 20x - 21y + 14 Which corresponds with answer choice A

Answer:

20x-21y+14

Step-by-step explanation:

1/5(150x-80y+50-50x-25y+20) is equal to 1/5(150x) + 1/5(-80y) + 1/5(50) + 1/5 (-50x) + 1/5(-25y) + 1/5(20)

So if we simplify, we would have 30x + (-16y) + 10 + (-10x) + (-5y) + 4, or 30x -16y + 10 -10x -5y + 4

When organizing the values by variable, the equation would look like this -

30x - 10x -16y -5y + 10 + 4

Combining like terms will result in 20x -21y + 14.

Hope this helps!

Answer:

Depends on the shape for rectangles its base × height for triangles its base × height × 1/2

Answer:

8

Step-by-step explanation:

Lol hope this helps!

hmmmmm....... 10? :)

Answer:

1.6875

Step-by-step explanation:

Volume of a pyramid = 1/3 (l*w*h)

Volume = 1/3(6 * 6 * 9)

Volume = 2 * 6 * 9

Volume = 108 cm³

Volume of cube = s³ ; s = side length

Volume = 4³ = 4 * 4 * 4 = 64 cm³

Number of wax cube = Volume of pyramid / volume of cube

= 108 cm³ / 64 cm³

= 1.6875

Step-by-step explanation:

Apply angle sum of triangle, that means the sum of all interior angles in a triangle is equal to 180°.

So that, (x + 45) + 50° + 90° = 180°.

However when we simply do 45+50+90, the answer is already bigger than 180.

So the question is made wrong.

Answer:

igure it out based on the explanation

Step-by-step explanation:

do left to right first do the divishon on the left get and answer divide that by 8 then divide the answer by 2 then subtract it by 3!

Answer:

13.5%

Step-by-step explanation:

I hope this helps and also searched the internet for the answer

Answer:

12.5%

Step-by-step explanation:

960-840=120

120/960=12.5%

Answer:

180=3x+7x+10

simplify

180=10x+10

subtract 10 from both sides

170=10x

divide both sides by 10

x=17

Answer:

The point estimate for the difference between the means of the two populations is x1`-x2`= 81-85=-4 where x1` is the mean of the of the first population and x2` is the mean of the second population.

Step-by-step explanation:

The data given is

               Today               Five Years Ago

X`                 81                           85

σ              14.5                        8.5

n                81                          36

The point estimate for the difference between the means of the two populations is x1`-x2`= 81-85=-4 where x1` is the mean of the of the first population and x2` is the mean of the second population.

The test statistics that will be used is

Z= x1-x2/ √σ₁²/ n₁ + σ₂²/n₂

Z=  81- 85/ √14.5² /81 + 8.5² /36

z= -4/√210.25/81+ 72.25/36

z= -4/2.1454

z= -1.8644

Answer:

There are no real values of y for  negative x,  for the function y = log(x).

Step-by-step explanation:

Answer:

A: 88 square inches

Step-by-step explanation:

trust me

Answer:

Choice A

Step-by-step explanation:

f(x) - g(x)

x^3 - 4x + 2 - (x - 2)^2

x^3 - 4x + 2 - (x^2 - 2x - 2x + 4)

x^3 - 4x + 2 - (x^2 - 4x + 4)

x^3 - 4x + 2 - x^2 + 4x - 4

x^3 - x^2 - 2

Answer:

F  0.45

Step-by-step explanation:

Total number of students: 15 + 8 + 27 + 10 = 60

Number of students who took theater: 27

part = 27/60 = 0.45 = 45%

Answer: F   0.45

Answer:

I'm answering for your last question....it wouldn't let me post under the one that I had to

anyways your answer is d

Answer:

8

Step-by-step explanation:

Answer: 8

Step-by-step explanation: For absolute values, all values are positive. It is basically the positive inverse of the number.

Answer:

-7, -6, -3, 2, 9, 18, 29, 42, 57

Rule: + 1, + 3, + 5, + 7, + 9, + 11, + 13, + 15, + 17......................

Answer:

WHATS THE QUESTION, BRO??

Step-by-step explanation:

Answer:

Mode:15

Mean:149

The Range:4

hope this helps don’t be mad if this is wrong pls don’t be mad if it’s wrong if it’s right hope it helps

Answer:

1920 cm³

Step-by-step explanation:

V = w · h · l

V = 8 · 14 · 10

V = 1120 cm³

Now for the smaller one.

V = w · h · l

V = 8 · 10 · 10

V = 800 cm³

1120 cm³ + 800 cm³

1920 cm³

Answer:

1920 cm ^3

Step-by-step explanation:

find the volume of the 2 cuboids seperatly.

bigger one: LXWXH --> 8 X 14 X 10 = 1120

smaller one: LXWXH --> 10X10X8 = 800

add them up

1120 + 800 = 1920 cm

Hope this helps :D

Answer:

Look at the picture

Hope it helped!

Answer:   m^2 - 13m + 42.25  = (m - 6.5)^2

notes:

6.5 = 13/2

42.25 = 169/4

======================================================

Explanation:

The coefficient in front of the m is -13. Cut this in half to get -13/2 = -6.5

Then square this result to get (-6.5)^2 = 42.25

We need to add 42.25 to the expression in order to complete the square

This allows us to factor to get m^2 - 13m + 42.25 = (m - 6.5)^2

Note how the equation is in the form

a^2 - 2ab + b^2 = (a-b)^2

where a = m and b = 6.5

Answer:

The surface area is 177 square inches

Step-by-step explanation:

Given

[tex]Length = 10[/tex]

[tex]Width = 3[/tex]

[tex]Height = 4\frac{1}{2}[/tex]

Required

The surface area

This is calculated as:

[tex]Area = 2 * (Length * Width + Length * Height + Width * Height)[/tex]

So, we have:

[tex]Area = 2 * (10* 3+ 10* 4\frac{1}{2}+ 3* 4\frac{1}{2})[/tex]

[tex]Area = 2 * (30+ 45+ 13\frac{1}{2})[/tex]

[tex]Area = 2 * (88\frac{1}{2})[/tex]

[tex]Area = 177[/tex]

Answer:

The correct order is:

a

c

d

b

Step-by-step explanation:

First, let's write 1/x in a convenient way for us:

a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.

Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:

c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.

Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:

d) Observe that x is the quotient of two integers with the denominator nonzero.

And that is the definition of rational, then we end with:

b) Hence x is rational.

Which is what we wanted to get.

Answer:

degree 0.089

radian -0.92

Step-by-step explanation: