If x:y=11:8 and z:y=6:7

(i) Calculate x:y:z

(ii) x:z​

Answer and Step-by-step explanation:

1.

We are told to give the transformations needed to map the triangle ABC onto the triangle XYZ.

First off, we should move the triangle to the right. We need to have point B of triangle ABC to overlap point Y of triangle XYZ.

Once that is done, we need to do a dilation by scale 1.5. This would perfectly align triangle ABC onto triangle XYZ.

2.

To find the length of XZ, we need to find the dilation factor. Since we know that the triangles are similar, we can divide the bigger side by the little side (though only the sides that correspond).

We will divide side CB by ZY to get the dilation scale factor.

6 divided by 4 equals 1.5.

Now, to find the length, we will divide side CA by 1.5.

21 divided by 1.5 equals 14.

The length of ZY is 14.

#teamtrees #PAW (Plant And Water)

Answer:

1200

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

The complete question is

The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. which type of function best models this situation? a) exponential b) linear c) quadratic d) radical

Solution

After 1 year the salary of delivery boy will be

[tex]35000 + 35000*0.03\\35000+1050\\36050[/tex]

Salary of delivery boy after 2nd year =

[tex]36050 + 36050*0.3 = 37131.5[/tex]

Salary after 3rd year

[tex]37131.5 + (37131.5*0.03) = 38245.45[/tex]

The growth in salary is linear as depicted from the values obtained.

Hence, option B is correct

Answer:

All you have to do is multiply 14 by 8.

14 x 8 = 112

Step-by-step explanation:

Answer: 3902.4633

Step-by-step explanation: 3902.46 from deltamath

Answer: C

You are looking for a shape that mirrors the question. If you mirror the question, your answer will be option C.

I hope you have a great day and take mental health breaks!

The correct reflection of the given shape is shown in option (c).

Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.

The given image shows the shape which is faced toward east direction, when we place a mirror in front of the shape, the reflection of the image changes in west direction.

Option (c) shows the exact reflection of the given shape.

To learn more about Reflection on:

https://brainly.com/question/15487308

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Answer:

The salary of Sydney to meet the loss due to inflation should be 11.85 per hour

Step-by-step explanation:

The inflation rate is 3%

This means that the alary amount will reduce by 3%.

3% of Sydney's hourly salary is

[tex]\frac{3}{100} *11.50[/tex] = 0.345

Hence, the new salary must increase by 0.345 dollar per hour

The salary of Sydney to meet the loss due to inflation should be 11.50 + 0.345 = 11.845 or 11.85

Answer:

y=2x-5

Step-by-step explanation:

i took algebra

Answer:

Point of intersection is - (x, y) = (1, 2)

Step-by-step explanation:

Given - y=3x-1 y=2x

To find - For each pair of equations draw the lines for each the point of intersection represents the sol.

Proof -

Given that, the two lines are

y = 3x - 1            .........(1)

y = 2x                 .........(2)

For the intersection point, Compare the two equations (1) and (2)

By comparing, we get

3x - 1 = 2x

⇒3x - 2x - 1 = 0

⇒x - 1 = 0

⇒x = 1

Now,

Put the value of x in equation (1), we get

y = 3(1) - 1

   = 3  - 1

   = 2

⇒y = 2

∴ we get

Point of intersection is - (x, y) = (1, 2)

The graph is as follows :

Answer:

$400

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

when you are dividing two numbers with an exponent you want to subtract the exponents.

7-4 =3

Answer:

Part A

The system of equations are;

x = y/18

x + 1/6 = y/13

Part B

13/30 hours

Step-by-step explanation:

The path on which Anita is riding = The path on which Brad is riding

The point at which Anita starts riding = The start of the park

The rate at which Anita is riding = 18 miles per hour

The time at which Bras began = 10 minutes ahead of Anita

The rate at which Brad is riding = 13 miles per hour

Part A

Let 'x' represent the number of hours it takes Anita and Brad to travel 'y' miles along the path, we have;

The 'x' number of hours it takes Anita to travel 'y' miles is given as follows;

x = y/18

For Brad, we have;

10 minutes = 1/6 of an hour

The 'x'' number of hours it takes Brad to travel 'y' miles is given as follows;

x' = y/13

The duration Brad has traveled, when Anita has traveled for 'x'' hours = x + 1/6 hour

x' = x + 1/6

∴ x + 1/6 = y/13

Part B

Therefore, to travel the same 'y' mile as Anita , we have;

x + 1/6 = y/13

y = 13 × (x + 1/6) = 13·x + 13/6

y = 13·x + 13/6

For Anita, we had; x = y/18

∴ y = x × 18 = 18·x

Equating both y-values gives;

y = y

∴ 13·x + 13/6 = 18·x

18·x - 13·x = 5·x = 13/6

x = 13/(5 × 6) = 13/30 hours

The number of hours it will take Anita and Brad to meet on the path = 13/30 hours (equivalent to 13/30 hour × 60 minutes/hour = 26 minutes)

Answer:

A = 4

B = 2

2* (6 * 4) = 48

Please mark as brainliest if answer is right

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Answer:

y = -17x + 10

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= -8-9/0-(-1)

m= -17/1

m=-17

then use point slope formula (y-y1) =m(x-x1)

(y-9) = -17(x-(-1))

simplify

y-9 = -17x + 1

turn into slope intercept form

y = -17x + 10

Answer: See the image below for the filled out table.

The other root is x = -2

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Explanation:

The turning point is at (1, -45) which is the vertex. This is where the graph goes downhill, and then turns around to go uphill, or vice versa. Depending on the direction, the vertex is the lowest point or the highest point on the parabola.

We have (h,k) = (1,-45) as the vertex, so h = 1 and k = -45

y = a(x-h)^2 + k

y = a(x-1)^2 + (-45)

y = a(x-1)^2 - 45

Now plug in any other point from the table. You cannot pick (1,-45) or else you won't be able to solve for the variable 'a'. Let's go for (0,-40)

We'll plug x = 0 and y = -40 into the equation above to solve for 'a'

y = a(x-1)^2 - 45

-40 = a(0-1)^2 - 45

-40 = a(-1)^2 - 45

-40 = a - 45

a-45 = -40

a = -40+45

a = 5

Therefore, the equation for this parabola is

y = 5(x-1)^2 - 45

As a way to check, we can plug in something like x = -3 to find that...

y = 5(x-1)^2 - 45

y = 5(-3-1)^2 - 45

y = 5(-4)^2 - 45

y = 5(16) - 45

y = 80 - 45

y = 35

Which matches what the table shows in the first column. I'll let you verify the other columns. As you can probably guess at this point, we'll plug in the x values to get the corresponding y values.

So for x = -2, we get...

y = 5(x-1)^2 - 45

y = 5(-2-1)^2 - 45

y = 5(-3)^2 - 45

y = 5(9) - 45

y = 45 - 45

y = 0

The result of 0 here indicates we have a root at x = -2. This is the other x intercept. The x intercept already given to us was x = 4.

The rest of the table is filled out using the same idea. You should get what you see below.

Answer:

Ameilia will receive 42 candles.

Step-by-step explanation:

5+7=12

72/12=6

6*7=42

Ameilia will recieve 42 candles.

6*5=30

Amanda will recieve 30 candles.

hope this helped have an amazing day! :)

Answer:-13=b, b=-13

Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13

Answer:

[tex]b=-13[/tex]

Step-by-step explanation:

[tex]-19 = b - 6[/tex]

Switch sides

[tex]b-6=-19[/tex]

Add 6 to both sides

[tex]b-6+6=-19+6[/tex]

Simplify

[tex]b=-13[/tex]

Answer: a) no. The p value of the appropriate test is greater than 0.05

Step-by-step explanation:

The statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

Sample size n = 400 teachers

Sample mean X = 12.5 hours

Standard deviation S = 6.5 hours

Population mean u = 13 hours

Null hypothesis H0: u = 13

Alternativ hypothesis u <13

T-test:

[tex]\rm t = \frac{x-u}{\frac{s}{\sqrt{n} } }[/tex]

[tex]\rm t = \frac{12.5-13}{\frac{6.5}{\sqrt{400} } }[/tex]

t = -1.5385

Now degree freedom df = n -1  = 400 - 1

df = 399,  α = 0.05

P-value = p[1+t<-1.5385]

P-value = 0.0624

∴ P-value is greater than α because of this the null hypothesis failed.

Thus, the statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.

Learn more about the standard deviation here:

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Answer:

The result is about 70.9 degrees

Step-by-step explanation:

Easy for a calculator.  If you're not using a calculator, it's much more tedious!

There is an inverse sine key on your calculator, but you may have to press a key (likely labeled 2nd or INV) first.  The attached image shows a TI-83 display.  To get the inverse sine, I first pressed the yellow 2nd key, then the sin key.

Check MODE first to make sure you're measuring angles in degrees (if that's what you want!).  Some calculators display angle mode with a small letter at the top of the display, D, R, or G usually.

The left side of the equation produces just x.

[tex]\sin{x}=.945\\\\\sin^{-1}(\sin{x})=\sin^{-1}(.945)\\x=\sin^{-1}(.945) \approx 70.9^\circ[/tex]

Answer:

The answer should be 18: 3 x 3 x 2

Answer:

Multiply row 1 by [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

The augmented matrix of the system of linear equation is described below:

[tex]\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]

Where [tex]a_{11} = 2[/tex], if we need to create [tex]a_{11} = 1[/tex], we need to multiply row 1 by [tex]\frac{1}{2}[/tex], that is to say:

[tex]\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]

Hence, the correct answer is: Multiply row 1 by [tex]\frac{1}{2}[/tex].

Answer:

[tex]h(-6) = -\frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]

Required

Determine h(-6)

To do this, we make use of:

[tex]h(x) = \frac{x + 4}{10}[/tex]

Because [tex]-7 \le -6 <-5[/tex]

So, we have:

[tex]h(x) = \frac{x + 4}{10}[/tex]

[tex]h(-6) = \frac{-6 + 4}{10}[/tex]

[tex]h(-6) = \frac{-2}{10}[/tex]

Simplify

[tex]h(-6) = -\frac{1}{5}[/tex]

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

Explanation:

Refer to the diagram below. I've added the points A, B, C, D, and E. Point A is the center of the circle while points B, C and D are along the circle's edge. The radius AC and chord BD intersect at point E.

Recall that whenever we have a radius perpendicular to a chord like this, it means that the radius bisects the chord. So that means chord BD is cut into two equal pieces BE and ED. The diagram given to you tells us that ED = x, so BE is also x units long as well. Overall, BD = BE+ED = x+x = 2x units.

Since BE = ED, the arcs formed are congruent as well. Minor arc BC is the same measure as minor arc CD. Both are 45 degrees. They combine to 90 degrees. In turn, this leads to central angle DAB to be 90 degrees.

Note how triangle DAB is an isosceles right triangle. The two equal legs are the two radii AB and AD, both which are 9 units long. The hypotenuse BD is equal to sqrt(2) times the leg length, so BD = 9*sqrt(2) units long.

Earlier I mentioned that BD = 2x also. We'll equate the two right hand side expressions and solve for x like so:

2x = 9*sqrt(2)

x = (9*sqrt(2))/2

x = (9/2)*sqrt(2)

x = 4.5*sqrt(2)

x = 6.36396103067892

That value is approximate. Rounding to the nearest tenth leads to the final answer of 6.4; therefore, the answer is choice A.

Answer:

18

Step-by-step explanation:

You would have 27 then add 7 subtract 10 and subtract 6 to get 18.

Answer:

-8/19

Step-by-step explanation:

-11/19 + 3/19

Since the denominators are the same, we add the numerators

(-11+3) /19

-8/19