A triangle has a perimeter of 32 inches. The medium side is 7 more than the short side, and the longest side is 3
times the length of the shortest side. Find the shortest side

Answer:

1

Step-by-step explanation:

it can be the rational number

Answer: 3

Step-by-step explanation:

Square root of 2 times square roof of 8 = square root of 16 = 4

Area of parallelogram to 2 significant figure is,

= 28 cm²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Parallelogram with 2 given sides, 4cm and 7cm respectively, and angle between them = 100°

Required:

Area of the parallelogram to 2 significant figure.

Since,

Area of the parallelogram = ab sin(θ)

Here, a = 4cm

b = 7 cm

θ = 100°

Hence, We get;

Area of parallelogram = 4 x 7 x sin(100)

Area = 28 x 0.9848

Area = 27.57

Thus, Area of parallelogram to 2 significant figure is,

= 28 cm²

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In comparison to the pre-image triangle, the image triangle is generally smaller, upside down, displaced to the left, and raised.

A dilatation is a transformation that alters the size but not the shape of a figure. Because it is a similarity transformation, matching angles and sides remain unchanged and are proportionate. Each point's coordinates are multiplied by a scale factor, which can be larger than 1 (enlargement) or between 0 and 1 (dilation), to create a figure (reduction). The fixed point around which the figure is enlarged or contracted is known as the centre of dilatation. There are several uses for dilations, including in maps, models, and visual arts.

For the transformations given the triangle undergoes the following:

1/3 scale factor dilated about the origin: The triangle becomes smaller after this change by a factor of three.

Reflected over the x-axis: The triangle's orientation is reversed as a result of this transformation's reflection of the triangle across the x-axis.

Left translation 2 units and above: The triangle is moved 2 units up and 3 units to the left by this transformation.

Thus, in comparison to the pre-image triangle, the image triangle is generally smaller, upside down, displaced to the left, and raised.

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your answer would be 5 1/4

Number of marbles were not chosen = 62 marbles

Number of marbles were in the bag before the game = 86 marbles

Number pf blue marbles were chosen = 24

Number of blue marbles = 40

Number of white marbles = 46 marbles

Total number of marbles = 40 + 46

= 86 marbles

Of the 40 blue marbles, 3/5 fraction were chosen

Number of blue marbles chosen = 40 × (3/5)

= 24 marbles

Part a

Number of bag's marbles were not chosen = 86 - 24

= 62 marbles

Part b

Number of marbles were in the bag before the game = 86 marbles

Part c

Number of blue marbles were chosen = 40 × (3/5)

= 24 marbles

Therefore, the 62 marbles were not chosen. There were 86 marbles before the game and number of blue marbles were chosen is 24 marbles

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Answer:

The probability of finding the entry in the period between 30 and 32 minutes is 5%.

Step-by-step explanation:

Given that the time required to find an entry is uniformly distributed between 0 and 60 minutes, it implies that 100% of the chances are in that period of time distributed equally. Therefore, since 100/60 is equal to 1.66, each minute has a 1.66% chance that the entry will be there.

Thus, since between minutes 30 and 32 there are 3 minutes in total (30, 31 and 32), to determine the probabilities of finding the entry in that period it is necessary to perform the following calculation:

1.66 x 3 = X

5 = X

Therefore, the probability of finding the entry in the period between 30 and 32 minutes is 5%.

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

46.75 dollars

Step-by-step explanation:

If the jeans are on sale for 45% off, then they will cost 55% of the original price (100%-45%=55%).

Therefore, the sale price is:

85×55%

Change % into a decimal

= 85×0.55

= 46.75

Therefore, the sale price of the jeans is 46.75 dollars.

I hope this helps!

The quadratic function that represents the given graph is:

y = ¹/₂(x − 4)² - 1

The general form of a quadratic equation in Vertex Form is expressed as:

y = a(x − h)² + k,

where

(h, k) is the vertex.

From the given graph, we can see that the coordinates of the vertex is (4, -1). Thus, we have:

y = a(x − 4)² - 1

Looking at the four given options from Option A to Option D, we can deduce that only given option that gives us the coordinates of the quadratic curve vertex is option D.

Thus, we can conclude that the quadratic function that truly represents the given parabolic graph curve is:

y = ¹/₂(x − 4)² - 1

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The marginal demand to estimate the change in demand when the price is increased by one dollar is -157.

Given, \(D(p)=-4p^2+3p+8,\) where p represents the price of the item in dollars.

Currently, the price of the item is $20.

In economics, marginal demand refers to the shift in demand for a product or service in reaction to a price adjustment. Normally, as the price of a good or service rises, demand decreases, and vice versa, as the price of a good or service decreases, demand increases.

We have to use the marginal demand to estimate the change in demand when the price is increased by one dollar.

The rate of change of demand with respect to price is obtained by differentiating D with respect to p in \(D(p)=-4p^2+3p+8\).

That is, dD/dp = -8p+3

Given, p = $20

dD/dp = -8×20+3=-157

Therefore, the marginal demand to estimate the change in demand when the price is increased by one dollar is -157.

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We can find the slope with the slope formula and the points (0,0) and (2,6)

The equation would be: D= 3*t (D= distance, t=time)

Answer:

16.2

Step-by-step explanation:

a²+b²=c²

a=10, b=y, c=19

100+y²=361

y²=361-100

y²=261

√y²=√261

y=√261

y=16.2

Answer:

none of the choices is correct

Step-by-step explanation:

To find the length of the side of square 1, divide the perimeter, 104÷4 = 27

That is the hypotenuse of the triangle.

The square of 27 is 729

Subtract the given square of Square 2, 576

729 - 576 = 153

Take the square root of 153 to find the length of the side of Square 3

√153= 12.37

I hope this helps. It's just a bit more challenging version of Pythagorean Theorem: a² + b² = c²

Answer:

➨ f(-1) = 0

Step-by-step explanation:

➨ Look at the table and compare.

Notice that when x = -1, f(x) = 0

f(-1) is like substituting x = -1 and get the f(x) value at x = -1.

Thus, f(-1) = 0

Answer:

It means her score is the median of the distribution of score for that examination  

Step-by-step explanation:

Basically 50th percentile of a distribution is the median of a distribution hence from question given that the student score falls on the 50th percentile of the distribution it mean that her score is the median of the  distribution of score for that examination  

ac is congruent to pr because those sides correspond

Answer:

4

Step-by-step explanation: 77-49 is 28 and 7 times 4 is 28

Answer:

16864

Step-by-step explanation:

16694 + 170 = 16864

Answer:

a. A completely randomized design experiment

Step-by-step Explanation:

An experiment that is completely randomised is practically an effective way of controlling and reducing the influence of the confounding variables in a research study, especially when you have a sample that is large enough.

Randomisation will ensure that both the group that will wear the new shoe (treatment group) and the group that will not wear the new shoe (control group) will have averagely the same values for age and height. This will eliminate the chances of these confounding variables of correlating with the independent variable in the study, as there would be no difference, in terms of characteristics, between both groups.

solve  -6x2-3x+12 dived by 3x-3 using pemdas

Step-by-step explanation:

The question is how to divide this this is how to solve it

Part A:  If her finance charge will be $51, an equation to determine Rebecca's current credit card balance is x = (51 - 1) ÷ 0.02.

Part B: Rebecca can save $27 in finance charges by making the purchase on the last day of the billing cycle instead on the first day.

An equation is a mathematical statement showing that two or more mathematical expressions share equality in value.

Equations are depicted using the equation symbol (=).

A finance charge includes the interest and other fees charged on credit cards.

The finance charge is usually based on a stated APR (annual percentage rate).

The billing cycle for the month = 28 days

Current beginning balance = x

Annual percentage rate (APR) = 24%

Monthly percentage rate (MPR) = 2% (24% ÷ 12)

Purchase on the last day = $1,400

Total finance charge for the month = $51

Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)

Finance charge for the beginning balance = $50 ($51 - $1)

The current beginning balance, x = $2,500 ($50 ÷ 2%)

Equation for current beginning balance, x = 51 - 1 ÷ 0.02

Total finance charge for the last-day purchase = $28 ($1,400 x 2%)

Savings in finance charge by purchasing ont the last day = $27 ($28 - $1)

Thus, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.

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Kevin's error is that he incorrectly identified the vertex of the parabola as (3, 2) instead of (2, 3), which resulted to the parabola opens downward. The correct vertex is at (2, 3) and the parabola opens upward.

You are correct that the vertex of the parabola can be determined using the equation f(x) = a(x - h)² + k, where the vertex is at (h, k). In this case, we have f(x) = -(x-2)² + 3, so the vertex can be found by setting x - 2 = 0, which gives x = 2. Plugging this value into the equation,

we get f(2) = -(2-2)² + 3 = 3, so the vertex is at (2, 3).

However, your reasoning for why h is positive is not correct. The expression x - h represents the horizontal distance from the vertex to any point on the parabola. So if x is greater than h, then the expression x - h will be positive, and if x is less than h, then the expression x - h will be negative. In this case, the vertex is at (2, 3), so we have h = 2. This means that any point to the right of the vertex will have a positive value of x - h, while any point to the left of the vertex will have a negative value of x - h.

Therefore, the correct explanation of Kevin's error is that he incorrectly identified the vertex as (3, 2) instead of (2, 3), and as a result, he also incorrectly concluded that the parabola opens downward. In fact, the parabola opens upward because the coefficient of the x² term, -1, is negative.

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Answer: buy all the crop tops

Step-by-step explanation:

Answer:

Well with that amount of money u should most definitely buy them, if you liked the of course

Step-by-step explanation:

I'm just saying

Answer:

1) 6041921252.76

2) 3783786034.9

Step-by-step explanation:

You move the decimal point 9 spaces to the right

Answer:

24

Step-by-step explanation:

The shape that CANNOT possibly describe the cross section is a rectangle.

1. The given three-dimensional object consists of two congruent parallel trapezoids.

2. A plane intersects the object perpendicularly to the trapezoids, resulting in a cross section.

3. To determine the shape that cannot possibly describe the cross section, we need to examine the possible outcomes.

4. When a plane intersects the object perpendicularly to the trapezoids, the resulting cross section can be various shapes, such as a parallelogram, triangle, trapezoid, or rectangle.

5. Let's consider each of these possibilities:

  a. Parallelogram: If the cross section is a parallelogram, it means the intersecting plane is parallel to the bases of the trapezoids.

  b. Triangle: If the cross section is a triangle, it means the intersecting plane passes through one of the vertices of the trapezoids.

  c. Trapezoid: If the cross section is a trapezoid, it means the intersecting plane is parallel to one base of the trapezoids and intersects the other base.

  d. Rectangle: If the cross section is a rectangle, it means the intersecting plane is perpendicular to both bases of the trapezoids.

6. Out of these possibilities, the shape that cannot possibly describe the cross section is a rectangle because a perpendicular plane would not intersect both bases of the trapezoids at right angles simultaneously.

7. Therefore, the shape that cannot possibly be the cross section is a rectangle.

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Circumference = 2pi*r

r = radius

In our problem,

circumference = 36pi

r = ?

Let's plug our values into the formula above.

36pi = 2pi * r

Divide both sides by 2pi

18 = r

Sorry it's been longer than 10 min I hope this is accurate.