are the ratios 1:3 and 4:12 equivalent

Answer:

To find angle x we must first find y

For angle y

Angles on a straight line add up to 180°

56 + 51 + y = 180

y = 180 - 56 -51

y = 73°

Now for angle x

Angles in a triangle add up to 180°

y + x + 72 = 180

y = 73°

73 + x + 72 = 180

x = 180 - 73 -72

x = 35°

Therefore angle x is 35°

Hope this helps.

First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:

180-52-59=69

y=69°

Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:

63+y+x=180

63+69+x=180

180-63-69=x

x=47°

Answer:

15

[tex] \\ [/tex]

Step-by-step explanation:

[tex] = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15[/tex]

Answer:

the missing side of the triangle is of length 15

Step-by-step explanation:

This problem is asking to find the hypotenuse (longest side) of a right angle triangle, so we can use the Pythagorean theorem, which tells us that the square of the hypotenuse in a right angle triangle equals the addition of the squares of the legs of the triangle (in our case 9 and 12).

We can then find the length of the hypotenuse applying the square root on both sides:

[tex]hyp^2=leg_1^2+leg_2^2\\hyp^2=9^2+12^2\\hyp^2=81+144\\hyp^2=225\\hyp=\sqrt{225} \\hyp=15[/tex]

Answer:

2pi(3x + 7)

Step-by-step explanation:

In order to solve for the circumference, consider the area and circumference formulas. What is common among them? The radius. Take a look at their formulas below;

[tex]Circumference = 2\pi r,\\Area = \pi r^2,\\\\Where, r = radius[/tex]

Now if the area of this circle is given to be π ( 9x^2 + 42x + 49 ) we can plug it into the area formula as " Area " and solve for r ( radius );

[tex]\pi * ( 9x^2 + 42x + 49 ) = \pi r^2,\\( 9x^2 + 42x + 49 ) = r^2[/tex]

As you can see, π was eliminated on either side of the equation, leaving us with the simplified equation ( 9x^2 + 42x + 49 ). This expression is a perfect square. How so? Well you can rewrite the expression as ( 3x )^2 + 2 * ( 3x ) * ( 7 ) + ( 7 )^2, or ( 3x + 7 )^2;

[tex]( 3x + 7 )^2 = r^2,\\r = | 3x + 7 |,\\r = 3x + 7, r = - 3x - 7\\\\Solution, r = 3x + 7[/tex]

If r = 3x + 7, let us plug it into the circumference formula as to solve for the circumference;

[tex]Circumference = 2\pi r,\\Circumference = 2\pi * ( 3x + 7 )[/tex]

Solution = 2pi(3x + 7)

Answer:

option b,c,d

Step-by-step explanation:

Given choices are

A: x^2-5x+6

B: 11> (w-4)^2

C: y< 3^4

D: 5+9<5\cdot 95

E: \dfrac{z+11}{2z-1}

Inequality is the phrase that contains variables or numbers and inequality symbols like <  or > or <= or >=

option A goes not have inequality symbol , so it is not an inequality

Option B has > symbol. It is an inequality

Option C has < symbol. It is an inequality

Option D has < symbol. It is an inequality

Option E has only fraction. So it is not an inequality

Answer:

400

Step-by-step explanation:

5=4=78+400

Answer: f(x)=400(1.1)^x

Step-by-step explanation:

Answer:

I believe the answer is four there is twice as many horses so you would double the amount of original goats.

The number of goats that went with 6 pigs and 10 horses is; 4 goats.

Let the number of horses be h.

Let the number of pigs be p

Let the number of goats be g.

We are told that horses vary directly as goats.

Thus;

h ∝ g

Thus; h = k1g - --(eq 1)

Also, we are told that horses varies inversely as pigs squared.

Thus;

h ∝ 1/p²

h = k2/p² - - - (eq 2)

Where k1 and k2 are constant of proportionality.

When there are 5 horses there are 2 goats. Thus;

5 = 2k1

k1 = 5/2

k1 = 2.5

When there are 10 horses, we will have;

10 = 2.5g

g = 10/2.5

g = 4

Read more at;https://brainly.com/question/6843518

Answer:

a=2

b=93

I hope this helps you

Step-by-step explanation:

Answer:

1. 2  

2. 93

Step-by-step explanation:

First we have to put the values of x and y into the equation

4(3)-2(5)

(4×3)-(2×5)

12-10=2

Now the second one

2(3)²+3(5)²

18+75=93

Answer:

So in this question im guessing you simplify with parenthesis

Since its too easy, I cant really explain, but heres the answer:

(q+3)*10

Answer:

A

Step-by-step explanation:

16x-16=4y

4(4x-4)=4y

y=4x-4

Therefore, the correct answer is choice A. Hope this helps!

Answer:

16x-16=4(4x-4)

Step-by-step explanation:

16x-16=4(4x-4)

4(4x)=16x

4(-4)=-16

Answer:

5,000,000 cm

Step-by-step explanation:

1 km=100000cm

we just multiply 50km x 100000,which we get 5 million cm

Answer:

5 000 000 cm

Step-by-step explanation:

1km = 1000 m (meter)

1m = 100 cm

then

1km = 1000×100 cm

      = 100 000

then

50km = 50×100 000

          = 5 000 000

Answer:

B ) x³ -7 x² -49 x +343

 (f .g) (x)  = x³ -7 x² -49 x +343

Step-by-step explanation:

Explanation:-

Given f(x) = 49 - x²  and g(x) = 7-x

  (f .g) (x)  = f(x) .g(x)

  (f .g) (x) = ( 49 - x² ) (7-x)

              = 49 ((7-x))- x²(7-x)

             = 343 -49 x -7 x² + x³

 (f .g) (x)  = x³ -7 x² -49 x +343

Conclusion:-

(f .g) (x)  = x³ -7 x² -49 x +343

Answer:

The answer is number three

Step-by-step explanation:

I know this because the formula for pythageon theorm is.                         (A)squared + (B)squared = (C)squared so if you substitude the value of number three into the therom it would be equal to this 6x6+8x8=10x10

then if you simplify it would equal 36 + 64 = 100 and so this would satisfy the therom.

Answer:

The ratio of right handed to left handed players is 13 to 2

Step-by-step explanation:

Here in this question, we are asked to give the ratio of right handed to left handed players.

To give this ratio, we shall need to know the numbers of right handed players and left handed players.

From the question, we can see that there are 13 right handed and 2 left handed players.

Thus, the ratio of right handed to left handed players is 13:2

Answer:

d. 63

Step-by-step explanation:

sum of 3 interior angles= 180°

78°+39°+a=180°

a= 180°- 117°

a= 63°

Answer:

D. 63°

Step-by-step explanation:

The Triangle Sum Theorem says that all of the angles in a triangle add up to 180°.

78° + 39° = 117°. Think of it like algebra. 180° - 117° = 63°. I hope this helps :)

Answer:

6 x^3

Step-by-step explanation:

3x(2x^2).

3*2 = 6

x * x^2 = x^3

6 x^3

Answer:

8 nickels and 18 dimes

Step-by-step explanation:

Make a system of equations:

n + d = 26

5n +10d = 220

Solve by elimination by multiplying the top equation by -5. This gives you:

-5n -5d = -130

5n +10d = 220

Then solve to get 5d= 90, then d= 18.

Then plug 18 for d in the equation n + d= 26, so n + 18= 26

n= 8

Corrected Question

Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72

Answer:

[tex]P(A \cup B) =0.72[/tex] (Proved)

Step-by-step explanation:

Sue travels by bus or walks when she visits the shops.

Let the event that she catches the bus to the shop=A

Let the event that she catches the bus from the shop=B

P(A)=0.4

P(B)=0.7

Both A and B are independent events.

Therefore,Probability that she catches the bus to and from the shop:

P(A∩B) = 0.4 X 0.7= 0.28

Probability Sue walks at least one way [tex]P(A \cup B) = 1 - P(A \cap B)[/tex]

[tex]= 1 - 0.28\\= 0.72[/tex]

Hence, the probability that Sue walks at least one way is 0.72.

Answer:

[tex]x=\frac{8}{3}[/tex]

Step-by-step explanation:

I don't know if this has an =0 at the end, but I assume it does.

This is how you would work it out:

[tex]-2x-x+8=0\\-3x=-8\\x=\frac{-8}{-3} \\x=\frac{8}{3}[/tex]

_______________________________

Hey!!

Solution,

cost of 120 ounce of coffee= $9.60

cost of an ounce of coffee= 9.60/120

=$ 0.08

Hope it helps

Good luck on your assignment

_____________________________

Answer:

So for an estimation my answer would be 0.08

Step-by-step explanation:

Do 9.60 divided by 120.

Hope this helps, have a good day! :)

(Picture of formula and work below)

Answer:

area of the kitchen

Step-by-step explanation:

in real life the dimensions are 10*40=400 cm=4 m and 18*40=720 cm=7.2 m

Area of the bedroom is A=4*7.2=28.8  m^2

Area of the kitchen  is  300.000 cm^2=30 m^2

30>28.8

The bigger area is  area of the kitchen

The bigger area between bedroom and kitchen is kitchen which is 30 m^2

Area can be find of l length and b breadth sides is

Area = l b

Here the scale of bedroom is given that is 1 : 40

If bedroom is rectangle and measuring 10 cm and 18 cm then dimensions are

l = 10x40 = 400 cm = 4 m

b = 18x40 = 720 cm = 7.2 m

Therefore the area will be

Area of bedroom = 4x7.2 = 28.8 m^2

And we have given

Area of the kitchen = 300,000 cm^2

Convert into m^2 we have

Area of the kitchen = 30 m^2

This shows the area of the kitchen is bigger than the area of the bedroom

This is the conclusion to the answer.

Learn more about area here-

https://brainly.com/question/24487155

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Answer:

If he got 9 out of 15 correct, he got 6 problems incorrect.

6/15 is incorrect

6/15 × 100

40 % is your answer

Answer:

40% are incorrect

Step-by-step explanation:

If 9 are correct then 15-9 = 6

6 are incorrect

6/15 = 2/5

Change to a percent

2/5 *20/20 = 40/100

Percent means out of 100

40% are incorrect

Answer: -5/18 - (-1/4) = -1/36

Step by step:

To subtract,  find the LCD and then combine

So this is your answer,

-1/36

Answer:

D. 71.61 ft

Step-by-step explanation:

A=pi*r^2

408.3=pi*r^2

solve for r

r=11.4 ft

C=2*pi*r

C=2*pi*11.4=71.61 ft

Answer:

They Played 15 games total

Step-by-step explanation:

Make ratios:

9:60 %

x:100 %

Cross multiply: 60 times x =60x and 9x100= 900 = 60x=900

Divide to get x: 60x/60=900/60

x=15

They Played 15 games total

Please mark brainliest and have a awesome day

Answer:

Step-by-step explanation:

Our P is 72300; our r is .071, e is Euler's number (a constant) and t is 19 years. Filling in:

[tex]V=72300e^{(.071)(19)}[/tex] and

[tex]V=72300e^{1.349[/tex] and

V = 72300(3.853570033) so

V = $278,613.11

Hi! I'm here to help. So what you're gonna wanna do is do 6 divided by 2.

6 / 2 = 3

Have a good day/night!

Answer:

[tex]2/6=1/3[/tex]

Answer:

368

Step-by-step explanation:

Answer:

x squared+ 4x + 4

Step-by-step explanation:

Answer:

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Step-by-step explanation:

The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]

The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Answer:

P = 36 units

Step-by-step explanation:

Pythagoras

ip = √(12² + 9²)

= √(144 + 81)

= √225

= √15²

= 15 units

P = 9units + 12units + 15units = 36 units

Answer:

Vertical: 2 units down

Horizontal: 1 unit left

Step-by-step explanation:

X +/- numbers: means it will go up or down

If its parentheses then it is the opposite