A master baker can decorate a cake in 6 minutes and a student baker can decorate the same cake in 12 minutes. If they work together on one cake for one min what part of the cake is left to decorate

Answer:

800 cm

Step-by-step explanation:

x = height of lamp post

set up a proportion:

90/160 = 450/x

cross-multiply:

90x = 72000

x = 800

Answer:

Since you did not want the answer the things you need to solve this question are below.

Step-by-step explanation:

In order to solve this, you will need to read about the scale factor. Here is a picture telling about it briefly.

Answer:

volume = 261.79938779915 m3

Step-by-step explanation:

And rounded to nearest number is 261.8 mi3 or answer b.

Answer:

y = 6(sq rt 3)

x = 18

Step-by-step explanation:

y = (0.5)(12)(sq rt 3) = 6(sq rt 3)

x = (0.866)(12)(sq rt 3) = (10.392)(sq rt 3) = sq rt 324

reduced

x = 18

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of x and y is 18 and 6√3 units respectively.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Let the side with label x be the base of the triangle and y be the perpendicular.

As the length of the base is x while the angle is 30°, and the length of the hypotenuse is 12√3, therefore, the value of x can be written as,

[tex]Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Cos (30^o)=\dfrac{x}{12\sqrt3}\\\\\\Cos (30^o) \times {12\sqrt3}={x}\\\\x = {12\sqrt3} \times \dfrac{{\sqrt3}}{2}\\\\x = 18[/tex]

Now, as we know that the length of the perpendicular side is y, therefore, the value of y can be written as,

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Sin (30^o)=\dfrac{y}{12\sqrt3}\\\\\\Sin (30^o) \times {12\sqrt3} ={y}\\\\\\y = \dfrac{1}{2} \times 12\sqrt3\\\\\\y = 6\sqrt3[/tex]

Hence, the value of x and y is 18 and 6√3 units respectively.

Learn more about Trigonometric functions:

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[tex]\tt{} {2x}^{2} - 19x + 42[/tex]

[tex]\tt{} {2x}^{2} - 7x - 12x + 42[/tex]

[tex]\tt{}x \times (2x - 7) - 6(2x - 7)[/tex]

[tex]\tt{}(2x - 7) \times (x - 6)[/tex]

Answer:

180 pounds

Step-by-step explanation:

In six months Bill's weight will be increased by 60 pounds

10 pounds*6 months=60 pounds

120+60=180

In six months Phil will lose 24 pounds decreasing his weight from 204 to 180

4 pounds*6 months=24 pounds

204-24=180

Answer:

180 lbs

Step-by-step explanation:

204-24= 180

120+60=180

multiply each by 6  

Answer:

y = 13√2

x = 13

Step-by-step explanation:

y: The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

x: Find the last side of the triangle using the Pythagorean theorem.

good luck, i hope this helps :)

answer for the first one

1) [tex]6 {y}^{2} - 24y[/tex]

[tex] = > 6y(y - 4)[/tex]

2) [tex]6pq - 4q + 6 - 9p[/tex]

[tex] = > (6pq - 4q) + ( - 9p + 6)[/tex]

[tex] = > [2q(3p - 2)] + [- 3( 3p - 2)] [/tex]

[tex] = > 2q(3p - 2) - 3(3p - 2)[/tex]

[tex] = > (3p - 2)(2q - 3)[/tex]

3) [tex] {x}^{2} + 14xy + 49y[/tex]

[tex] = > {x}^{2} + 2 \times x \times 7y + {(7y)}^{2} [/tex]

[tex] = > {(x + 7y)}^{2} [/tex]

[tex] = > (x + 7y)(x + 7y)[/tex]

4) [tex]25 {y}^{2} - 16[/tex]

[tex] = > {(5y)}^{2} - {4}^{2} [/tex]

[tex] = > (5y + 4)(5y - 4)[/tex]

5) [tex]9 {x}^{2} - 30x + 25[/tex]

[tex] = > {(3x)}^{2} - 2 \times 3x \times 5 + {(5)}^{2} [/tex]

[tex] = > {(3x - 5)}^{2} [/tex]

[tex] = > (3x - 5)(3x - 5)[/tex]

6) [tex] {p}^{2} + 2p - 15[/tex]

[tex] = > {p}^{2} + 5p - 3p - 15[/tex]

[tex] = > p(p + 5) - 3(p + 5)[/tex]

[tex] = > (p + 5)(p - 3)[/tex]

7) [tex] {y}^{2} + 8y + 12 = 0[/tex]

[tex] = > {y}^{2} + 2y + 6y + 12[/tex]

[tex] = > y(y + 2) + 6(y + 2)[/tex]

[tex] = > (y + 2)(y + 6)[/tex]

Answer:

D

Step-by-step explanation:

If something is not constant we know it is non-linear. We know this is not constant because when graphed, the line is not straight.

Answer:

D.

Step-by-step explanation:

Here the rate of change is not constant. For example:

10-5 / 20-17 = 5/3

13-10/23-20 = 3/3 = 1

Answer:

[tex]it \: is \: \: \: \: {x}^{2} + 7x[/tex]

Step-by-step explanation:

I hope this is be useful for you ^_^

Expand x(x+7)

▶️x(x+7)

▶️x² + 7

▶️7x²

▶️7x²

Answer:

4

Step-by-step explanation:

2*radius

Answer:4

Step-by-step explanation:

2*2=4

Answer: 16.7%

I took the k12 unit test

The inflation rate is given by the percentage error and is given by the equation A = 16.71 %

What is Percentage Error?

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage error is the difference between the measured value and the true value , as a percentage of the true value

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Given data ,

Let the inflation rate of percentage error be represented as A

Let the cost of the Jolly Peanut butter be = $ 3.59

So , the original cost = $ 3.59

Let the increased rate of Jolly Peanut butter be = $ 4.19

So , the increased rate = $ 4.19

Now , the inflation rate is given by the equation

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Substituting the values in the equation , we get

Inflation rate A = ( ( 4.19 - 3.59 ) / 3.59 ) x 100

On simplifying the equation , we get

Inflation rate A = ( 0.6 / 3.59 ) x 100

Inflation rate A = 0.16713 x 100

Inflation rate A = 16.71 %

Therefore , the value of A is 16.71 %

Hence , the inflation rate is 16.71 %

To learn more about percentage error click :

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Answer:

the answer is 2/5

Step-by-step explanation:

Answer:

z = 7/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

7/100z

Answer:

5 1/2 is your second answer :)

Answer:

[tex]A)5\frac{1}{2}[/tex]

Step-by-step explanation:

To multiply a number and a mixed number, first convert the improper fraction to a mixed number. This can be done by multiplying the "number" part of the mixed number by the denominator (number underneath the fraction bar) and then adding the result to the numerator. After doing so, one can either multiply the improper fraction by the number, and then simplify the result, or one can cross simplify the number and the denominator, then multiply by the numerator.

[tex]4 * 1\frac{3}{8}\\\\4 * \frac{11}{8}\\\\=\frac{44}{8}\\\\= \frac{11}{2}[/tex]

Now one must convert this improper fraction to a mixed number. One can do this by diving the numerator by the denominator, writing the result as the "number" part of the mixed number, and then writing the remainder as the numerator of the fraction.

[tex]5\frac{1}{2}[/tex]

Answer:

7

Step-by-step explanation:

They only have to 2 factors for example: 2,3,5,7,11

Answer:

h.7

Step-by-step explanation:

2 is the lowest prime # and the sum of 2 and 5 is 7

Answer:

You know you could just look up every single one of these

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

100% - 36% = 64%

This answer is correct 101% trust me!

Answer:

The second statement.

Step-by-step explanation:

Once it gets to 10, if you keep multiplying by 2 it will always end in 0.

Answer:

4x-30=2-10

4x= 2-10+30

4x= 2-40

4x=-38

x-38/4

Answer:

55%

Step-by-step explanation:

1/4 - Micah will only have a 25% chance of selecting a blue pencil.

1/5 - Micah will only have a 20% chance of selecting a red pencil.

So, to conclude this, Micah only has a 55% chance of selecting a yellow pencil.

Answer:

C

Step-by-step explanation:

Answer: It's C.

Step-by-step explanation:

Answer:

D&E

Step-by-step explanation:

The graph that looks like this

Answer: D

Step-by-step explanation:

I think

Answer:

I believe so! good luck!

Step-by-step explanation:

Answer:

I had it before and it is 15 ft²

Answer:

Step-by-step explanation:

Answer:

1872 in

Step-by-step explanation:

156 ft x 1ft = 156ft cause if you multiply 1 with any number its what ever number you multiplied 1 with.