11. Determine the missing side lengths in each triangle.

Pls help me!

To find the percentage of Farmer Gibson's herd that remains after he sold 60 cows, we need to calculate the new total number of cows he has.

Number of cows remaining = Total number of cows - Number of cows sold

Number of cows remaining = 200 - 60

Number of cows remaining = 140

So, Farmer Gibson has 140 cows remaining in his herd.

To find the percentage of cows remaining, we can use the following formula:

Percentage = (Number remaining ÷ Total number) x 100

Plugging in the values we have:

Percentage = (140 ÷ 200) x 100

Percentage = 0.7 x 100

Percentage = 70%

Therefore, Farmer Gibson has 70% of his herd remaining after selling 60 cows.

~~~Harsha~~~

a) The principal of the account is given as follows: 1238.27 euros.

b) The interest rate of the account is given as follows: 4.3%.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

We can take the ratio between the balances two consecutive years to obtain the interest rate as follows:

r = 1569.4/1504.5 - 1

r = 1.0431 - 1

r = 0.043

r = 4.3%.

After 5 years, the balance was of 1504.50, hence the principal is obtained as follows:

1504.5 = P(1 + 0.043 x 5)

P = 1504.5/(1 + 0.043 x 5)

P = 1238.27 euros.

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The statement that explains the validity of the sampling procedure used by the company is the company applied the same procedure to all three locations and used random sampling to select the times to collect data. The Option A is correct.

The procedure used is valid because they applied the same procedure to all three locations and used random sampling to select the times to collect data.

By using the random sampling, they ensured that they were selecting a representative sample of the entire population of mall visitors.

Also, by applying same procedure to all three locations, they ensured that they were collecting comparable data and this helps to increase the generalizability of their findings and make their decision-making process more reliable.

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Answer:

B. A cube with side lengths of 2 feet has a volume of 8 cubic feet.

v(s) = s^3, so v(3) = 2^3= 8

Answer:is this actually a question!

Step-by-step explanation:

The graph of g(x) = √(x - 16) is given by the image presented at the end of the answer.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function in this problem is given as follows:

f(x) =√x

Which has vertex at the origin.

The function g(x) = √(x - 16) is equivalent to g(x) = f(x - 16), which is a translation right 16 units of f(x), according to the graph presented at the end of the answer.

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Answer: A

Step-by-step explanation: complementary is 180 that’s the angle is A. Supplementary is 90 so that’s incorrect.

Answer:

Step-by-step explanation:

Quadratic form:

ax²+bx+c

>We are going to work backwards from getting an equation and then solving for the x's.

>From a graph, you are given your x's.

>Put those x's (x-intercepts)  into factored form.

Red:

x  = -7            >add 7 to both sides

x+7 = 0

x = -5            >add  5 to both sides

x+5=0

x+5   and x+7    are your factors

y= (x+5)(x+7)   >FOIL

y=x²+7x+5x+35

y=x²+12x+35     for RED

Blue:   follow same pattern as RED

x= -4               and                x=-2

(x+4)=0                                (x+2)=0

-(x+4)(x+2)              There is a negative in front because this one is facing

                               down

-(x²+6x+8)               FOILED and simplified, now distribut negative

y= -x²-6x-8       BLUE

Green:

x=-1      x=1

y=(x+1)(x-1)               FOIL and simplify

y=x²-1    GREEN

Orange:

x= 2   x=4

-(x-2)(x-4)

-(x²-6x+8)

y= -x²+6x-8      ORANGE

Purple:

x=5    x=7

(x-5)(x-7)

y=x²-12x+35    PURPLE

Using Pythagorean's theorem we can see that the variables are:

t = 13.86

w = 12.81

Remember that for any right triangle, Pythagorean's theorem says that the sum of the squares of the legs is equal to the square of the hypotenuse, where the hypotenuse is the side opposite to the 90° angle.

Then for the first triangle we can write:

t² + 8² = 16²

Solving for t:

t = √(16² - 8²) = 13.86

For the second triangle we have:

10² + 8² = w²

Solving for w:

w = √(10² + 8²)

w = 12.81

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Answer: 14 and 14

Step-by-step explanation:

So u would Since 13 and 14 are both consecutive integers and their sum is 27, we have our answer.

The expression to represent the given situation is M =30t.

Let's use the variable M to represent Susan's overall piano practice time over the course of t days.

Given that Susan practices the piano for 30 minutes every day, the sum of her practice time over the course of t days is:

M = 30t

As a result, M = 30t is the equation that describes the total amount of time Susan spends practicing the piano over the course of t days.

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Your close relative has to contribute $17,430 in a bond shared finance that yields 3.0% for it to supply $18,000 a year for you.

To calculate the sum that your close relative has to contribute in a bond common finance to supply you with $18,000 per year, you wish to utilize the equation for the display esteem of an annuity.

PV = PMT * (1 - (1 + r)^(-n)) / r

where:

PV = display esteem

PMT = installment sum (in this case, $18,000 per year)

r = intrigued rate (3.0%)

n = number of periods (in this case, 1 year)

Substituting the values into the equation:

PV = $18,000 * (1 - (1 + 0.03)^(-1)) / 0.03

PV = $18,000 * (1 - 0.9709) / 0.03

PV = $18,000 * 0.0291 / 0.03

PV = $17,430

Subsequently, your close relative has to contribute $17,430 in a bond shared finance that yields 3.0% for it to supply $18,000 a year for you.

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The coordinates of the solution that lies in quadrant I are

In order to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

x² + 4y² = 100    ......equation 1.

4y - x² = -20  ......equation 2.

In this exercise, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph shown in the image attached below, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (6, 4).

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The minimum sample size required to construct a 95% confidence interval for the population mean is 16.

To determine the minimum sample size required to construct a 95% confidence interval for the population mean circumference of tennis balls within 0.05 inch, we need to use the formula for the margin of error:

Margin of error = Z* (σ/√n)

Where Z* is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

Since we want a 95% confidence interval, Z* = 1.96 (from a standard normal distribution table).

We are given that σ = 0.10 inch and we want the margin of error to be 0.05 inch. Plugging in the values, we get:

0.05 = 1.96 * (0.10 / √n)

Solving for n, we get:

n = [(1.96 * 0.10) / 0.05]² = 15.36

We can't have a fractional sample size, so we round up to the nearest whole number. Therefore, the minimum sample size required is 16.

This means that the manufacturer needs to randomly select and measure the circumferences of at least 16 tennis balls to estimate the population mean circumference with 95% confidence and a margin of error of 0.05 inch.

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The best interpretation is  the product of the cube root of 2.07 and the age of the mammal

h = 37.8 (2.07t)³ + 78.6

Now, let's analyze the term (2.07t)³:

Based on this analysis, the best interpretation of (2.07t)³ is:

B. the product of the cube root of 2.07 and the age of the mammal

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Answer:

Yes, the bottom shelf is parallel to the middle shelf. Angle 6 measures 120°, so angles 6 and 11 are congruent alternate exterior angles.

Answer:

26.5

Step-by-step explanation:

The formula for the area of a trapezoid is:

A = (1/2)h(b₁ + b₂)

where h is the height, b₁ and b₂ are the lengths of the parallel bases.

Substituting the given values:

A = (1/2)(4.3 m)(9.2 m + 3.2 m)

A = (1/2)(4.3 m)(12.4 m)

A = 26.52 m²

Rounding to the nearest tenth:

A ≈ 26.5

Therefore, the area of the trapezoid is approximately 26.5 square meters.

The distance between the points G and H is D = 8 units

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be G ( 0 , 8 )

Let the second point be H ( 8 , 8 )

Now , let the distance between G and H be D , where

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( 0 - 8 )² + ( 8 - 8 )²

D = √64 units

D = 8 units

Hence , the distance is 8 units

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Answer:

B' ( -1,-4)

C' (-6,-5)

Step-by-step explanation:

Take each point and move it one unit left and then 3 units up.

Helping in the name of Jesus.

The length of each side of the tile with an area of 790 cm² correct to 3 significant figures is 28.1 cm.

Significant figures are the digits in a number that give a reliable accuracy of the quantity of a measurement.

The significant figures do not include the zeros immediately after the decimal place but those that occur between other numbers are regarded as significant.

The area of a square tile = Length x Length

= 790 cm²

The length of each side = √790 = 28.1069

= 28.1 cm

Thus, we can conclude that the length of each side of the square tile is 28.1 cm.

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The radius of the cylindrical cup is 6 centimeters.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given that the volume of the cylindrical cup is 1356.48 cubic centimeters and the height is 12 cm.

We can substitute these values into the formula and solve for the radius:

V = π × r² × h

r = √( V / (πh) )

r = √( 1356.48 / ( 3.14 × 12) )

r = 6 cm

Therefore, the radius is 6cm.

Option C) 6cm is the correct answer.

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The pair of equivalent expressions that represent the sale price for any one item is  0.75m and m-1/4m. Option C

The sale price of an item is the regular price minus 1/4 of the regular price. This can be represented as:

sale price = regular price - (1/4)regular price

Simplifying this expression, we get:

sale price = (3/4)regular price

Therefore, the sale price for any one item can be represented as 0.75m, which is equivalent to option C.

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Answer:I’m not so sure but I’m pretty sure it’s the 4th one?

Step-by-step explanation:

Answer:

Option b

Step-by-step explanation:

For x=1, y=-0.5

For x=0, y=2

For x=1, y=-7/2

Graphing the equation on the coordinate plane we get the second graph.

The probability of spinning an even number on the spinner is 40%.

The probability of picking a diamond from a standard deck of playing cards is 25%.

P(even) = number of even sections / total number of sections

= 2/5

= 0.4

= 40%

Therefore, the probability of spinning an even number on the spinner is 40%.

P(diamond) = number of diamonds / total number of cards

= 13/52

= 1/4

= 0.25

= 25%

Therefore, the probability of picking a diamond from a standard deck of playing cards is 25%.

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Answer:2.7

Step-by-step explanation:

Formula, divide the value in centimeters by 100 so 1 meter equals 100 centimeters

So 270 centimeters = 270/100 = 2.7

The rectangular shaped array with 3 rows and 4 columns is drawn

X X X X

X X X X

X X X X

Given data ,

Let the number of rows for the rectangle be r = 3

Let the number of columns for the rectangle be c = 4

So , when r = 3 and c = 4

X X X X

X X X X

X X X X

Hence , the rectangle shaped array is solved

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I'm assuming you mean "How do I find the value of x such that the arc length of the circle defined by (10x-23) is 106?" So, there are two possible values of x that would give a circle with arc length 106: x ≈ 2.71 and x ≈ 1.89.

To find the value of x such that the arc length of the circle defined by (10x-23) is 106, we can use the formula for the arc length of a circle:

Arc Length = θr

where θ is the central angle in radians, and r is the radius of the circle.

In this case, we know the arc length is 106, and we need to find the value of x such that the radius is defined by (10x-23). Let's call this radius r.

We can rearrange the formula to solve for the radius:

r = Arc Length / θ

We also know that the central angle in radians is equal to the arc length divided by the radius.

So we can write:

θ = Arc Length / r

Substituting in the values we have:

θ = 106 / (10x-23)

Now we can solve for x. We know that the central angle for a full circle is 2π radians, so the central angle for a circle with radius (10x-23) is:

θ = (2π)(10x-23)

Setting this equal to our previous expression for θ, we have:

106 / (10x-23) = (2π)(10x-23)

Solving for x:

106 = (2π)(10x-23)(10x-23)

106 = (2π)(100x^2 - 460x + 529)

53 = π(100x^2 - 460x + 529)

53/π = 100x^2 - 460x + 529

100x^2 - 460x + (529 - 53/π) = 0

We can solve this quadratic equation using the quadratic formula:

x = [460 ± sqrt(460^2 - 4(100)(529 - 53/π))] / (2(100))

x ≈ 2.71 or x ≈ 1.89

Therefore, there are two possible values of x that would give a circle with arc length 106: x ≈ 2.71 or x ≈ 1.89.

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