Match each drawing on the left with its geometric notation on the right. Some of the answer choices on the right may not be used.

Answer:

Step-by-step explanation:

The diagonal of a rectangular garden forms a hypotenuse with the width and length sides.  We can use the Pythogorean Theorem to calculate the remaining side.

Let W, L, and H stand for the Width, Length, and Hypotenuse, all in meters.

W^2 + L^2 = H^2

Enter the data:

(63/4)^2 + L^2 = (111/4)^2

248.06 + L^2 = 770.06

L^2 = 522

L = 22.847 meters

Perimeter is 2W + 2L

Perimeter = 2(63/4) + 2(22.847)

Perimeter = 77.19 meters

Answer:

The least common multiple of 12a^4b^2c^5 and 40a^3b^7c^1, is 1

Step-by-step explanation:

The figure after the transformation is added as attachment

From the question, we have the following parameters that can be used in our computation:

A(-1, -2) , B(-4, 2), C(1, 4) and D (3, 0)

Also, we have

The transformation = rotation 180 about the origin

To perform a rotation of 180 degrees about the origin on a figure,

i.e.

(x, y) = (-x . -y)

So, we have

A(1, 2) , B(4, -2), C(-1, -4) and D (-3, 0)

See attachment for the figure

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Explanation:

The given sequence is 5, 12, 33, 96, 285, ...

The sequence of increases is: 7, 21, 63, 189

Then notice,

Assuming this pattern keeps up, the next increment will be 189*3 = 567

We add this increment to the last term of the original sequence

285+567 = 852

The sequence is now 5, 12, 33, 96, 285, 852, ...

Answer:

$3192.5.

Step-by-step explanation:

First $3000 tax is 3000 * 0.02 = $60.

Second $2000 tax is 2000 * 0.03 = $60.

Third $12000 tax is 12000 * 0.05 = $600.

Last $43,000 tax is 43000 * 0.0575 =$2472.5

Total income tax = $3192.5.

To graph the line with a slope of -4 and a y-intercept of 8, you can start by plotting the y-intercept point on the y-axis, which is (0, 8). Then, use the slope to find additional points on the line. Since the slope is -4, you can move down 4 units and to the right 1 unit to find another point on the line. Plot this point and draw a straight line through both points to complete the graph. The resulting line will be a straight line that slopes downward to the right and passes through the points (0, 8) and (1, 4).

Answer

approximately 0.0067

Step-by-step explanation:

If you multiply 0.0067 with 16,500 you get about 110.55 and the more you keep going with the 6, the closer it gets to 110$.

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

WX = 73

Step-by-step explanation:

If this is a rhombus, it means that all the sides have the same length. Therefore with what you know, you can set 14t-3 and 16t-7 equal to each other and solve for t. After solving you would get the answer t=5. Now plug this into 16t - 7 to find WX; 73.

Answer:  0.42171717 miles

Step-by-step explanation:

 for  inches to mile conversion  divide  by 63350

so got 0.421717

Answer:

The answer is 3

Step-by-step explanation:

B/c 8+2=10 just add one more and 2+1=3

Answer:

3

Step-by-step explanation:

first you subtract 11 to 8 and when you count it youll get 3 so 8+3=11

hope this helps :)))))

Answer:

a² + 2ab + b² + ac + bc

Step-by-step explanation:

(a + b + c) * (a + b) = aa + ab + ac + ba + bb + bc

= a² + 2ab + b² + ac + bc

The trick you use here is called the distributive property.

Answer:

\(a^2+b^2+2ab+ac+bc\)

Step-by-step explanation:

\((a+b+c(a+b)=\\a^2+ab+ac+ab+b^2+bc=\\a^2+b^2+ab+ab+ac+bc=\\a^2+b^2+2ab+ac+bc\)

Answer:

Choice C) The triangles are similar

Step-by-step explanation:

Choice B was close but the statement ∠AOR≅∠EOD should have been ∠AOR≅∠DOE

Answer:

Period = pi

Angular frequency = 2

Amplitude = 5

Midline is the line y = 3

Step-by-step explanation:

A sinusoidal wave is written in the general form as:

f(x) = A*cos(w*x) + C

Where:

- A is the amplitude.

- w is the angular frequency, this is equal to 2*pi/T

  where T is the period.

- y = C is the midline.

Then in the equation:

f(x) = 5*cos(2*x) + 3

- 5 is the amplitude.

- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)

- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:

2 = 2*pi/T

T = 2*pi/2 = pi

pi is the period.

- y = 3 is the midline.

Answer:

Import in 2012 was the greatest

Step-by-step explanation:

Given

l(t) = -33t² + 800t - 3000

9 ≤ t ≤ 13

Required

Determine the year with highest import.

To do this we simply substitute the values of t from 9 to 13 in the given function.

When t = 9

l(t) = -33t² + 800t - 3000

l(9) = -33 * 9² + 800 * 9 - 3000

l(9) = -33 * 81 + 800 * 9 - 3000

l(9) = -2673 + 7200 -3000

l(9) = 1527

When t = 10

l(10) = -33 * 10² + 800 * 10 - 3000

l(10) = -33 * 100 + 800 * 10 - 3000

l(10) = -3300 + 8000 - 3000

l(10) = 1700

When t = 11

l(11) = -33 * 11² + 800 * 11 - 3000

l(11) = -33 * 121 + 800 * 11 - 3000

l(11) = -3993 + 8800 - 3000

l(11) = 1807

When t = 12

l(12) = -33 * 12² + 800 * 12 - 3000

l(12) = -33 * 144 + 800 * 12 - 3000

l(12) = -4752 + 9600 - 3000

l(12) = 1848

When t = 13

l(13) = -33 * 13² + 800 * 13 - 3000

l(13) = -33 * 169 + 800 * 13 - 3000

l(13) = -5577 + 10400 - 3000

l(13) = 1823

Comparing the values of l(t) for the range of t = 9 to 13,

The highest value of l(t) is:

l(12) = 1848

Hence, the year with the highest import is 2012

The oil imports to the country are greatest during the year 2012

Given the model where t is time in years since the start of 2000 expressed as I(t) = −33t² + 800t − 3,000

The oil imports more oil during the year 2012, is t = 12

I(12) = −33(12)² + 800(12) − 3,000

I(12) = -33(144) + 9600 - 3000

I(12) = -4752 + 6600

I(12) = 1848

Hence the oil imports to the country are greatest during the year 2012

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Answer:

100 cm²

Step-by-step explanation:

In a square

length of the sides (L) = 10 cm

Area of square (A) = L² = ( 10 ) ² = 100 cm²

Answer:

100cm^2

Step-by-step explanation:

10×10 is 100

so it's 100cm squared

The probability that these four females have pulse rates with a mean between 69 beats per minute and 81 bears per minute, using the normal distribution and the central limit theorem, is of:

0.663 = 66.3%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for the problem are given as follows:

\(\mu = 75, \sigma = 12.5, n = 4, s = \frac{12.5}{\sqrt{4}} = 6.25\)

The probability that these four females have pulse rates with a mean between 69 beats per minute and 81 bears per minute is the p-value of Z when X = 81 subtracted by the p-value of Z when X = 69, hence:

X = 81:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

Z = (81 - 75)/6.25

Z = 0.96

Z = 0.96 has a p-value of 0.8315.

X = 69:

Z = (69 - 75)/6.25

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.8315 - 0.1685 = 0.663 = 66.3%.

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Using the highest common factor, the greatest number of identical binders that the teacher can make is 18.

The highest common factor or multiple of the given numbers is the highest number that can divide them without a remainder.

We know that 2, 9, and 18 can divide 54, 36, and 72 without leaving a remainder.

We can see that the highest common factor is 18.

When we divide 54 by 18, the quotient is 3. If you divide 36 by 18, the quotient is 2.  When you divide 72 by 18, the result is 4.

The number of lined paper = 54 pieces

The number of grid paper = 36 pieces

The number of dividers = 72 dividers

The common factors of 54, 36, and 72 are 2, 9, and 18.

The highest common factor of 54, 36, and 72 is 18.

Thus, 18 binders containing 3 pieces of lined paper, 2 pieces of grid paper, and 4 dividers can be made from the collection, using their HCF.

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Step-by-step explanation:

To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.

Let's first find the prime factorization of each number:

- 8 = 2 * 2 * 2

- 16 = 2 * 2 * 2 * 2

- 40 = 2 * 2 * 2 * 5

Now, let's identify the common factors by finding the minimum exponent for each prime factor:

- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).

- 5 is not a common factor since it appears only in the prime factorization of 40.

The GCF is obtained by multiplying the common factors with their respective minimum exponents:

GCF = 2^2 = 4

Therefore, the greatest common factor of 8, 16, and 40 is 4.

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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The volume of the solid rounded to the nearest whole number is approximately 262 cubic units.

If we rotate a semicircle about its diameter, we get a solid called a hemisphere. The volume of a hemisphere is given by the formula:

V = (2/3)πr³

where r is the radius of the hemisphere.

In this case, the diameter of the semicircle is given as 10, so the radius is half of that, i.e., r = 5. Substituting this value in the formula, we get:

V = (2/3)π(5)³

= (2/3)π(125)

= 250π/3

≈ 261.8

What is the area and volume of hemisphere?

The curved surface area of a hemisphere = 2r² square units. The total surface area of a hemisphere = 3r² square units. The volume of a hemisphere is determined by the formula (⅔)r cubic units.

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Answer:

C

Step-by-step explanation:

For example, if a is equal to 2.

\( \sqrt{2} {}^{2} = 2\)

The answer is still the given number a.

The solution of the expression √a² is,

⇒ a

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ √a²

Where, 'a' is nonnegative real number.

Now, We can simplify as;

⇒ √a²

⇒ √ a × a

⇒ a

Thus,  The solution of the expression √a² is,

⇒ a

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Answer:

6 times 10 times 3.

Then divide by three, I hope that helps

Answer: 864

Step-by-step explanation:

mulitiply all

The true statement about the axis of rotation is the option;

It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.

The axis of rotation is a straight line around which all points on a rotating body rotates.

The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle

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