Suppose a scale model has a scale of 2 inches = 3 feet. What is the scale factor?

Answer:

0.78

Step-by-step explanation:

0.78 is 25% of 3.12

to check just multiply 0.78 by 4

0.78*4=3.12

Answer:

0.78

Step-by-step explanation:

     3 1 2

×       2 5

+   1 5 6 0

+   6 2 4  

=  7 8 0 0

= 0.78

Hope this helps.

The value of angle RPQ in the circle is 115 degrees.

The intersecting chords theorem, also known as the chord theorem, is an elementary geometry statement that describes a relationship between the four line segments formed by two intersecting chords within a circle.

If two chords intersect inside a circle, then the measure of the angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

The angle is 115°.

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Answer:

None of them, the answer is 250

Step-by-step explanation:

Answer:

(4)^-3 or 1/64

Answer: 47.5

Step-by-step explanation:

Given

2x-10+x+x=180

combine like term x      

       4x-10=180

addition property of equality (add 10 on both sides)

             4x=190

division property (divide 4 on both sides)

               x=47.5

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

your answer will be 47.5

Answer:

  x = 6

Step-by-step explanation:

Compare the given formula to the equations shown in the attachment. First of all, you see that all of the numbers are scaled by a factor of 4. Removing that gives ...

  \(r=\dfrac{6.6}{1+1.1\cos{\theta}}=\dfrac{1.1\cdot6}{1+1.1\cos{\theta}}\)

This matches the formula for the hyperbola with e=1.1 and d=6, for a directrix of x = 6.

Answer:

A, B, E

Step-by-step explanation:

Notice that A, B, and E all maintain their common ratios, while C and D do not.

Answer:

3

Step-by-step explanation:

I think the answer is 3 because there are 3 spaces between each dot but I am also not the smartest person so if that's right sorry!

Answer:

50

Step-by-step explanation:

35=70%*x

35=70/100*x

35=7/10*x

350=7*x

x=50

The fraction of magazines that were delivered to families who were home written as a decimal is 0.4

Difference between fraction and decimal?

Total number of families = 25

Number of families in home = 10

Then, number of families away = 25 - 10 = 15

Fraction of magazines that were delivered to families who were home

= Number of families in home/ Total number of families

= 10 / 25

= 0.4

Hence, the fraction of magazines that were delivered to families who

were home written as a decimal is 0.4

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None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Answer:

I'm pretty sure they're all rational numbers since they're all whole numbers.

Answer:

x=2,y=3

Step-by-step explanation:

x-2=0

x=2

y-3=0

y=3

Answer:

y - 9 = 1/2(x + 3)

Step-by-step explanation:

find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2

substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:

=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)

point-slope form:

Answer:

C

Step-by-step explanation:

Non proportional graphs are non-linear and don’t go (necessarily) through 0,0

Proportional graphs are linear and always (eventually) cross through with 0,0

Answer:

The probability that they purchased a green or a gray sweater is \(\frac{12}{31}\)

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

\(P(A)=\frac{number of favorable cases}{number of possible cases}\)

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

You know:

So:

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= \(\frac{8}{31}+ \frac{4}{31}\)

P(A∪B)= \(\frac{12}{31}\)

The probability that they purchased a green or a gray sweater is \(\frac{12}{31}\)

Answer:

b×h/2 b=base h-height so h=2 * area /b.

Answer:

z = 12.52 in.

Step-by-step explanation:

Because this is a right triangle, we can solve for z using on the trigonometric ratios.

If we allow 37° to be our reference angle, the 10 in. side is the adjacent side and z (directly across from the right angle) is the hypotenuse.

Thus, we can use the cosine ratio which is

\(cos(angle)=\frac{adjacent}{hypotenuse}\)

Now, we can plug everything into the formula and solve for z, the hypotenuse:

\(cos(37)=10/z\\z*cos(37)=10\\z=10/cos(37)\\z=12.52135658\\z=12.52\)

Answer:

7 meters by 5 meters, or vice versa

Step-by-step explanation:

p = 24 meters

a = 35 meters²

Formula for perimeter = l + l + w + w

Formula for area = l · w

7 and 5 are the only values where the rules are satisfied.

x + x + y + y = 24

7 + 7 + 5 + 5 = 24

14 + 10 = 24

x · y = 35

7 · 5 = 35

Answer:

Option c.

Step-by-step explanation:

Volume = length * breadth *height

According to the question,

(3/2 * 1/2 * 2)ft^3

= 3/2ft^3

Hope this helped :)

Answer:

2 kilograms =2000grams

2000grams - 125grams =1875grams

1875grams of grapes did Susan have left

Answer:

this polygon has four sides shown here

Step-by-step explanation:

Answer:

\(b=3\sqrt{13}\)

Step-by-step explanation:

In a right angled triangle, if a perpendicular is drawn from a vertex of the right angle then triangles on both sides of the perpendicular are similar.

In ΔPDY, ∠D = 90° and DM ⊥ PY

So, ΔPMD ≈ ΔDMY

If two triangles are similar then their corresponding sides are proportional.

\(\frac{PM}{DM}=\frac{MD}{MY}\)

Put \(PM=4\,,\,DM=c\,,\,MD=c\,,\,MY=9\)

So,

\(\frac{4}{c}=\frac{c}{9}\\\\c=36\\c=6\)

According to Pythagoras theorem, square of hypotenuse is equal to sum of squares of the other two sides.

In ΔDMY,

\(DY^2=DM^2+MY^2\\b^2=c^2+9^2\)

Put \(c=6\)

\(b^2=6^2+9^2\\b^2=36+81\\b^2=117\\b=\sqrt{3^2(13)}\\b=3\sqrt{13}\)

The equation is  \(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)  Graphing this equation below, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.

To graph function g, we need to find its equation that satisfies the given properties. We know that the y-intercept of g is less than that of f, so we can choose it to be 1. Also, the parabola of g opens downwards and its vertex is between the two x-intercepts, which are at x = -2 and x = 4. We can use these points to find the equation of the parabola in the standard form: g(x) = a(x - h)² + k. Using the fact that g(0) = 1 and the x-intercepts, we can solve for a, h, and k. The resulting equation is:

\(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)

Graphing this equation, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

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Answer:

Step-by-step explanation: the y would be 50

Given:

Order of operations to evaluate an expression.

Find-:

Choose the correct option

Explanation-:

If a calculation involving mixed operations contains both multiplication and division then evaluate form left to right. This means that sometimes division can be performed before multiplication.

So.

The correct option is sometimes

The total amount left to pay is $ 745,945.74.

Supposing you took out a $ 120,000 loan to go to med school. Your loan has a 6.9% APR to be paid in 30 years, and you make monthly payments of $ 790.32, and to date, you have made 180 payments, to determine what is the total amount you have left to pay if you simply make payments for the next 180 months the following calculation must be performed:

Therefore, the total amount left to pay is $ 745,945.74.

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Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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Step-by-step explanation:

The slope of the equation tangent to y = f(x) at x = 4 is equal to f'(4). Therefore,

\(m = f'(4) = \dfrac{1}{(4)^2 - 9} = \dfrac{1}{7}\)

We also know that the line passes through the tangent point at (4, -1) so we can write the slope-intercept form of the equation as

\(y = mx + b \Rightarrow -1 = \dfrac{1}{7}(4) + b\) or

\(b = -\dfrac{11}{7}\)

so our equation is

\(y = \dfrac{1}{7}x -\dfrac{11}{7}\)

or in standard form,

\(x - 7y = 11\)

The amount of force is moving the wagon along ground level will be 26.8 pound

A force in physics is an effect that has the power to alter an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe force. Being a vector quantity, a force has both magnitude and direction.

Given a wagon is being pulled by a handle making a 40° angle with a force of 35 pounds

We have to find amount of force is moving the wagon along level ground

The angle with force is given 40 degree

So the formula to find amount of force is moving the wagon along level ground will be as follow:

Fₓ = F cosθ

Fₓ = 35 * cos40

Fₓ = 26.8 pound

Hence amount of force is moving the wagon along ground level will be 26.8 pound

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