Work out the area of a rectangle with base,
b
= 34mm and perimeter,
P
= 88mm.

It will take 20.6 hours to paint the house if both painter A and painter B worked together.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as p: q : : r : s.

This is same as p : q = r : s or p/q = r/s

Let F represent the house fully painted.

Painting done by painter A in 50 hours = F

Painting done by painter A in 1 hour = F/50

Painting done by painter B in 35 hours = F

Painting done by painter B in 1 hour = F/35

If they both paint together,

Painting done by painter A and painter B in 1 hour = F/50 + F/35

                                                                                    = 85/1750 F

                                                                                    = 17/350 F

Time taken to paint 17/350 F = 1 hour

Time taken to paint F = 1 / (17/350)

                                    = 20.588

                                    ≈ 20.6 hours

Hence time taken to paint the house by both working together is 20.6 hours.

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Just find the coordinates and divide the x and y coordinates by the scale factor.

I'll do A.

(4,3)

Divide 4 by 0.5 and 3 by 0.5.

4/0.5=2

3/0.5=1.5

So the original coordinate for A is (2,1.5).

Hope it helps

Answer:

4

Step-by-step explanation:

:)

Answer:

x= -5

Step-by-step explanation:

f(x)= -5x +10

35= -5x +10

35-10 =-5x

25/-5 =x

x= -5

It will take 5 minutes to print a batch of newspapers if 20 printers are used.

What is proportionality?

Proportionality is a mathematical relationship between two variables, where one variable is a constant multiple of the other. In other words, two quantities are proportional if they maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other quantity changes in the same proportion.

We are given that the time it takes to print a batch of newspapers, m, is inversely proportional to the number of printers used, n, and the equation of proportionality is:

m = k/n

where k is a constant of proportionality. We are also given that when k = 100, the equation is satisfied. So we can substitute k = 100 into the equation to get:

m = 100/n

To find the time it will take to print a batch of newspapers if 20 printers are used, we can substitute n = 20 into the equation:

m = 100/20 = 5

So it will take 5 minutes to print a batch of newspapers if 20 printers are used. Rounded to 1 decimal place, the answer is 5.0 minutes.

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Answer:

\(\displaystyle m\angle RTU=73^\circ\)

Step-by-step explanation:

Interior Angle of a Circle

An interior angle of a circle is formed at the intersection of two lines that intersect inside a circle.

Lines AC and BD of the figure attached below intersect forming arcs p and q. The measure of the interior angle x  is:

\(\displaystyle x=\frac{p+q}{2}\)

The question includes the drawing of a circle with lines US and RV intersecting at point T. The measure of the interior angle RTU is:

\(\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}\)

\(\displaystyle m\angle RTU=\frac{146^\circ}{2}\)

\(\boxed{\displaystyle m\angle RTU=73^\circ}\)

The angle, θ, at which the chair is currently reclined is approximately 31.4 degrees. Thus, the correct option is a. 31.4.

To determine the reclined angle, θ, of the patio lounge chair, we can use trigonometry and the given measurements.

In the diagram, we can see that the chair's reclined position forms a right triangle. The length of the side opposite the angle θ is given as 1.2 meters, and the length of the adjacent side is given as 2.3 meters.

The tangent function can be used to find the angle θ:

tan(θ) = opposite/adjacent

tan(θ) = 1.2/2.3

θ = arctan(1.2/2.3)

Using a calculator, we can find the arctan of 1.2/2.3, which is approximately 31.4 degrees.

Therefore, the angle, θ, at which the chair is currently reclined is approximately 31.4 degrees. Thus, the correct option is a. 31.4.

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Answer:

Step-by-step explanation:

The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.

Answer:

180° is galf a full turn, so it takes 1/2 less time that is 20 seconds

90° is 1/4 of a full turm (360°), so it will take (1,4)×40= 10 seconds

45° is 1/8 of 360, so it will take 5 seconds

270° IS 3/4 pf 360°, so the answer is (3/4)×40 = 30 seconds

Answer:

I think it is b

Step-by-step explanation:

let me know what the outcome is

The value of the WZ will be 28.18. The given figure is quadrilateral.

It is concerned with the geometry, region, and density of various 2D and 3D shapes.

In ΔZXY

∠Z+∠X+∠Y=180

∠Z+34°+90°=180°

∠Z = 56°

In Δ WZY

sin Θ = WZ/ZY

sin 56° = WZ/34

WZ= 28.18

Hence, the value of the WZ will be 28.18.

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The side WZ = 30.4.

The angles which lie on the alternate side of the line between two parallel lines.

Given a geometry in which ZY = 34, WY = 38, and ∠ZXY = 34°

In this geometry, opposite sides are equal.

WZ = XY and WX = ZY.....................(1)

The diagonal are perpendicular to each other.

∠XVY = 90°

Diagonal form four right angle triangles. Take ΔXVY

VY = WY/2

VY = 38/2

VY = 17

Using trigonometric property,

sin X° =  VY / XY

sin 34° = 17/XY

XY = 30.4

From equation 1, we have

WZ = 30.4

Thus, the value of WZ is 30.4.

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The value of the function f(x) = g(x) is \(x^2 -8x + 15 = 0\)

Data;

Solving the function above by substitution method, we just need to substitute the values where required and solve.

\(f(x) = g(x)\)

Substituting the value,

\(x^2 - 7x + 13 = x - 2\\x^2 -7x - x + 13 + 2 = 0\\x^2 -8x + 15 = 0\)

The value of the function f(x) = g(x) is \(x^2 -8x + 15 = 0\)

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Answer:

-23°F

Step-by-step explanation:

Since it says "less", we are going to subtract.

-12 - 11 = -23

Best of Luck!

Answer:

-3

Step-by-step explanation:

Answer:

x = 80° im pretty sure

Step-by-step explanation:

Nots sure about the equation but you could do 52° + x° + 48°= 180

Then x = 80°

Answer:

7 + 1.5 = 8.5

Step-by-step explanation:

hopefully i got that right

Answer:

-8

Step-by-step explanation:

The probability of an event can not be more than the number 1.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1.

Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

\(\rm Probability \; of \;failure = 1-Probability\; of \;success\)

Given information-

Rina spins the spinner less than the 30 times.

A success occurs when the spinner lands on a number that is greater than 6.

A spinner is divided into 8 equals sections and the sections are labeled 1 through 8.

As the probability of success occurs when the spinner lands on a number that is greater than 6, thus the number should grater than six.

This number should be less than 30 as the spinner spins less than the 30 times.

Thus the total number of outcome of this event is,

\(=30-6\\=24\)

Thus the probability of success is,

\(P=\dfrac{6}{24} \\P=\dfrac{1}{4}\)

Hence the probability of success is 1/4.

As the probability of failure of a event is equal to the difference of the 1 to the success of the event.

Thus the probability of failure is,

\(P^-=1-P\\P^-=1-\dfrac{1}{4} \\P^-=\dfrac{4-1}{4} \\P^-=\dfrac{3}{4} \\\)

The probability of failure is 3/4.

Hence,

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Answer:

Option B)

Step-by-step explanation:

Correct on edge22

The graph shows that Addison drives away from home, reaches a maximum distance of 20 blocks away from home, and then drives back home, arriving at the same distance of 0 blocks away from home.

A graph of Addison's distance from her home over time, we can plot time on the x-axis and distance on the y-axis.

Here's a step-by-step process to create the graph:

Start by drawing the x-axis and labeling it "Time (minutes)".

Mark the minimum value as 0 and the maximum value as 24 (7 + 5 + 6 + 7 + 7 = 32 minutes total, but we only need to plot until Addison gets home).

Draw the y-axis and label it "Distance from Home (blocks)".

Mark the minimum value as 0 and the maximum value as 13 (7 blocks to the store + 6 blocks to the bank).

Plot Addison's starting point, which is at (0,0).

Addison drives to the store at a speed of 2 blocks per minute, so after 7 minutes she is 14 blocks away from home (7 minutes × 2 blocks/minute = 14 blocks). Plot a point at (7, 14).

Addison stops at the store for 5 minutes, so her distance from home doesn't change during that time.

Draw a horizontal line from the point at (7,14) to (12,14).

Addison drives from the store to the bank at a speed of 3 blocks per minute, so it takes her 2 minutes to travel 6 blocks (6 blocks / 3 blocks/minute = 2 minutes).

After 12 minutes total (7 minutes to the store + 5 minutes at the store), she is 20 blocks away from home (14 blocks + 6 blocks). Plot a point at (12, 20).

Addison stops at the bank for 7 minutes, so her distance from home doesn't change during that time.

Draw a horizontal line from the point at (12,20) to (19,20).

Drives from the bank to home at a speed of 5 blocks per minute, so it takes her 2.6 minutes to travel 13 blocks (13 blocks / 5 blocks/minute = 2.6 minutes).

After 19 minutes total (7 minutes to the store + 5 minutes at the store + 6 minutes to the bank + 1 minute waiting at the bank), she is 13 blocks away from home (20 blocks - 13 blocks). Plot a point at (19,13).

Addison arrives home after 24 minutes (7 minutes to the store + 5 minutes at the store + 6 minutes to the bank + 7 minutes at the bank + 2.6 minutes driving home).

Draw a point at (24,0) to represent her arrival home.

Connect the points with a line to complete the graph:

Distance from Home

    ^

13 _|                •

   |                    |‾‾‾•‾‾‾‾‾‾

12 _|                |     /

   |                    |    /

11 _|                 |   /

   |                    |  /

10 _|                | /

   |                    |/

 9 _|_ ___ _ _|_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

    0               7 12         19                   24    → Time

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SOLUTION

To get h

And also

So

The first option is therefore the correct answer

The solutions of the inequality \(2x^{2} + x - 6 = 0\) are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form \(ax^{2} +bx + c = 0\), the solutions are \(x = -b +/-\sqrt{b^{2} -4ac} /2a\).

Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49

Solution 1: x = \(-b + \sqrt{b^{2} -4ac} /2a\) = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2

Solution 2: x = \(-b-\sqrt{b^{2} -4ac} /2a\)= (-1 - √49)/(2×2) = -8/4 = -2

So, the two solutions are 3/2 and -2.

The equation can also be written as,

\(2x^{2} +4x -3x-6=0\)

\(2x(x+2) -3(x+2) = 0\)

\((2x-3)(x+2) = 0\)

x = 3/2, -2

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Answer:

Y = 16a + 12b

Step-by-step explanation:

Given:

Cost of each neckless = $16

Cost of each bracelet = $12

Find:

Equation for the following state

Computation:

Assume;

Number of neckless sale in a month = a

Number of bracelet sale in a month = b

Total amount she earn = Y

So,

Total amount she earn = (Cost of each neckless)(Number of neckless sale in a month) + (Cost of each bracelet)(Number of bracelet sale in a month)

Y = (16)(a) + (12)(b)

Y = 16a + 12b

It is a graph of a function

Julian factored the expression of \(2x^{4} +2x^{3} -x^{2} -x\), then the

step 2 ( \(x(2x^{2} +1)) -1(x-1)\)) statement is wrong statement.

Julian should have factored (2*2-1) as a difference of squares.

Julian incorrectly factored -1 from the second group of terms.

Julian should have factored 2x from all terms instead of x

Julian incorrectly factored 2*2 from the first group of terms

The expression is,  \(2x^{4} +2x^{3} -x^{2} -x\)

Factors greatest  common factors out,

= \(x(2x^{3} +2x^{2} -x-1)\)

Regroup terms into two proportional parts,

= \(x((2x^{3} +2x^{2} )+(-x-1))\)

Factor the expression,

= \(x(2x^{2} (x+1)+(-x-1))\)

= \(x(2x^{2} (x+1)-(x+1))\)

= \(x(x+1)(2x^{2} -1)\)

Hence, we can write,

= \(2x^{4} +2x^{3} -x^{2} -x\)

= \(x(2x^{3}+2x^{2} -x-1)\)

So step 1 is correct.

= \(x(2x^{2} (x+1)-(x+1))\)

Then, step 2 is wrong.

Therefore, the expression of \(2x^{4} +2x^{3} -x^{2} -x\), then the

step 2 ( \(x(2x^{2} +1)) -1(x-1)\) )statement is wrong statement.

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Answer:

Julian should have factored (2x^2-1) as a difference of squares.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok, so there are 18 people. If 8/9 have umbrellas, how many have umbrellas?

There is a simple solution to this.

First, lets find out how much people is 1/9

We can do this by dividing 18 by 9 to get 2

So 1/9 of the group is 2 people.

Now you can use this to find 8/9 by multiplying 2 by 8

This gives you the total of 16

Another way you could do this was take the answer from the first step and subtract that from the 18

9/9 - 1/9 = 8/9   => 18 - 2 = 16

Hope this helps! =)

Answer:

either y= 5x-3 or y= 3x-3

Step-by-step explanation:

Answer:

What is the question?

Step-by-step explanation:

Step-by-step explanation:

The amplitude is the value that the cosine is being multiplied by.

The general equation of a sinusoid is

\( a \cos(b(x + c) ) + d\)

where a is the amplitude

\( \frac{2\pi}{ |b| } \)

is the period

-c is the phase shift

d is the midline(vertical shift)

Here the amplitude is -1/2 so b is the correct answer.

Answer:

the amplitude of the function that is y= -1/2 cos x, is 1/2.

Step-by-step explanation: