How many pairs of triangles appear congruent? The triangles may overlap

(−3, −1)(−3, −1) , (1, 3)(1, 3) , (3, 1)(3, 1) , and (−1, −3)(−1, −3) ?

Enter your answer in the box. Do not round any side lengths.

Answer: 16 Units

2.) What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?

Answer: 26.8 Units

3.) What is the area of a triangle with vertices at 

(0, −2) ,  ​ (8, −2) ​ , and ​ (9, 1) ​ ?

Enter your answer in the box.

(−2, 1) , ​ (−2, 4) ​,  (2, 7) , ​ (6, 4) ​, and (6, 1) ​?

Enter your answer in the box. Do not round any side lengths.​

Answer: 24 Units

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To determine the radius and circumference of a circle with an area of 153.86 square inches, one must first divide the area by 3.14 to solve for r², then take the square root to find the radius, and finally use the radius to calculate the circumference. The radius is approximately 7.00 inches, and the circumference is approximately 43.96 inches.

To find the radius and circumference of a circle with an area of 153.86 square inches, we first use the formula for the area of a circle, which is A = πr². Given that A is 153.86 and π is approximately 3.14, we can rearrange the formula to solve for the radius (r) as follows:

Performing the calculations, we get:

Therefore, the radius of the circle is approximately 7.00 inches, and the circumference is approximately 43.96 inches.

To find the radius from the area of a circle, use the formula r = sqrt(A/pi), with A = 153.86 sq inches and pi as 3.14. Once the radius is determined, calculate the circumference with the formula C = 2*pi*r. Both values should respect the significant figures.

The student is asking for help finding the radius and circumference of a circle given its area using 3.14 for pi. To find the radius, we start with the area formula for a circle, which is A = πr². Given the area A as 153.86 square inches, and using 3.14 for π, the radius r can be found by rearranging the formula to r = √(A/π). Plugging the numbers in, we get r = √(153.86/3.14), which we then calculate.

Once we have the radius, we can find the circumference C of the circle using the formula C = 2πr. Now that we know the radius, we plug the value into this formula to get the circumference.

Both radius and circumference should be calculated carefully, keeping in mind significant figures. The radius should then be used to calculate the circumference, which will be limited by the same degree of precision.

First we calculate the volume of the foundation:

Volume (V) = 20 ft * 12 ft * 4 in (1 ft / 12 in)

V = 80 ft^3

Since the cost is in cubic yard (yard^3) so convert:

V = 80 ft^3 * (1 yard^3 / 27 ft^3) = 2.963 yard^3

So the total cost is:

cost = ($125 / yard^3) * 2.963 yard^3

cost = $370.37

Answer:

$370.37.

Step-by-step explanation:

We have been given that a general contractor is constructing a building that requires a concrete foundation that is to be 20 feet by 12 feet and 4 inches thick.

First of all, we will convert the given dimensions of foundation in yards.

[tex]\text{3 feet}=\text{1 yard}[/tex]

[tex]20\text{ feet}=\frac{20}{3}\text{ yards}[/tex]

[tex]12\text{ feet}=\frac{12}{3}\text{ yards}[/tex]

[tex]\text{36 inches}=\text{1 yard}[/tex]

[tex]\text{4 inches}=\frac{4}{36}\text{ yards}=\frac{1}{9}\text{ yards}[/tex]

Since the foundation of building is in form of cuboid, so volume of foundation will be the product of 3 sides.

[tex]\text{Volume of foundation}=\frac{20}{3}\text{ yards}\times \frac{12}{3}\text{ yards}\times \frac{1}{9}\text{ yards}[/tex]

[tex]\text{Volume of foundation}=\frac{20\times 12\times 1}{3\times 3 \times 9}\text{ yards}^3[/tex]

[tex]\text{Volume of foundation}=\frac{240}{81}\text{ yards}^3[/tex]

[tex]\text{Volume of foundation}=2.962962962962963\text{ yards}^3[/tex]

Since the local home supply store sells concrete for $125 per cubic yard, so the cost of the concrete for the foundation will be the volume of foundation times $125.

[tex]\text{The cost of the concrete for the foundation}=2.962962962962963\text{ yards}^3\times \frac{\$125}{\text{ yards}^3}[/tex]

[tex]\text{The cost of the concrete for the foundation}=\$370.37037\approx \$370.37[/tex]

Therefore, the cost of the concrete for the foundation is $370.37.

Answer:

The correct Option is C).  quadratic function; quadratic term: −18x²; linear term: −21x ; constant term: −6

Step-by-step explanation:

Given : f(x) = (3x + 2)(-6x - 3)

Now, f(x) = -18x² -9x -12x - 6

⇒ f(x) = -18x² - 21x - 6

Now, since the highest degree of the given function f(x) is 2 so the function f(x) is quadratic.

Now, quadratic term is one which has highest power x = 2 So, quadratic term = -18x²

Linear term is one which has  power x = 1 So, linear term = -21x

Constant term is one which has power of x = 0. So, constant term = -6

Hence, The correct Option is C).  quadratic function; quadratic term: −18x²; linear term: −21x ; constant term: −6

80 * 1/4 = 80 /4 = 20

80-20= 60

 she has 60 dollars saved still

We have that the statement  If four points are collinear, they are also coplanar is

True

From the Question we are told that

four points are collinear

Collinear

This occurs when three or more lines lines on the same plane or line

While

Coplanar is when simply means on the same plane

Therefore

If four points are collinear, they are also coplanar

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Final answer:

The correct formula for the surface area of a triangular prism is SA = 2B + Ph, where B is the area of one triangular base, P is the perimeter of this base, and h is the height of the prism.

Explanation:

To find the surface area of a triangular prism, we don't use any of the formulas mentioned for the area of a triangle or volume. The correct formula is one that combines the area of the base triangles and the rectangles formed by the sides of the prism. In this case, the correct formula is SA = 2B + Ph, where B represents the area of one of the triangular bases, P is the perimeter of the triangular base, and h is the height of the prism that is perpendicular to the bases.

Let's clarify the correct formula with an example: Imagine a triangular prism with a triangular base having sides of lengths 3m, 4m, and 5m, and a height of 6m. To find the base area B, you'd use the formula for the area of a triangle, which is B = bh/2, where b is the base and h is the height of the triangle. The perimeter P would simply be the sum of the sides of the triangular base. The surface area would then be calculated by plugging these values into the SA = 2B + Ph formula.

Answer: A) all real numbers

Step-by-step explanation: I got it right on my quiz I’m also FLVS.

Answer:

[tex]y-1= \frac{4}{5} (x+2)[/tex]  

Step-by-step explanation:

Using point-slope intercept form:

The equation of line is given by:

[tex]y-y_1 = m(x-x_1)[/tex]              .....[1]

where,

m is the slope of the line and [tex](x_1, y_1)[/tex] is the point on the line.

As per the statement:

A line with slope 4/5 that contains the points (-2,1)

⇒m = [tex]\frac{4}{5}[/tex] and [tex](x_1, y_1)=(-2, 1)[/tex]

Substitute these values in [1] we have;

[tex]y-1= \frac{4}{5} (x+2)[/tex]  

Therefore, [tex]y-1= \frac{4}{5} (x+2)[/tex]  is the point slope form of a line with slope 4/5 that contains the points (-2,1).

The value of 1.580 hectoliters in decilitres will be 1580.

Unit conversion is the process of changing a quantity's measurement between different units, usually using multiplicative conversion factors.

The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given that the fluids have a value of 1.580 hectoliters.

The value of hectoliters in deciliters will be converted as below,

1 hectoliters = 1000 deciliters

1.580 hectoliters = 1.580 x 1000 deciliters

1.580 hectoliters = 1580 deciliters

Therefore, the value of 1.580 hectoliters in decilitres will be 1580.

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Option: C is the correct answer.

              C.)  F(x)= x

We know that a linear parent function is a function whose graph is a straight line passing through the origin and the equation of such a function is given by:

                                y=F(x)=x

Since, it is the simplest form of the equation of all the linear functions that are known to us and hence known as the parent linear function.

The correct answer is A. H - 625.

Sure, let's go step by step to find the correct answer.

Given:

- Median of the original data set = h

- Subtracted 625 from each value in the data set

Let's represent the original data set as {x1, x2, x3, ..., xn} where n is the number of values in the data set.

1. Median of the original data set:

The median of a data set is the middle value when the values are arranged in ascending or descending order. Since the data set has been modified by subtracting 625 from each value, the new data set would be {x1 - 625, x2 - 625, ..., xn - 625}.

2. Median of the modified data set:

If we subtract 625 from each value, it doesn't affect the relative order of the values. Therefore, the median of the modified data set would also be h.

So, the correct answer is A. H - 625.

The median represents the middle value in a sorted data set. When we subtract a constant (625 in this case) from each value in the data set, it shifts the entire set downwards without changing the order of values relative to each other. Therefore, the position of the middle value, which determines the median, remains the same. This means the median of the modified data set will still be h.

complete question

The median of the values of the data set is h. If 625 were subtracted from each of the values in the data set what would be the median of the resulting data ?

A. H - 625

B.625 - h

C.h + 625

D.625 • h

they need to equal 180 degrees

180-72 = 108 degrees

Answer: 108, 108, and 72 degrees

Step-by-step explanation:

Angle A = 72

Angle B = Angle D

Angle C = 72 (Since it is congruent to Angle A)

Angle D = Angle B

Since Angle A and C are congruent, so are angles B and D. Now you would have to subtract 72 from 180.

180 - 72 = 108

Angle A = 72

Angle B = 108

Angle C = 72

Angle D = 108

50 degrees Celsius is hotter than 50 degrees Fahrenheit because the Celsius scale rises at a faster rate of 1.8 times the Fahrenheit scale per degree, which measurably shows the greater warmth of 50°C compared to 50

Yes, 50 degrees Celsius is hotter than 50 degrees Fahrenheit. To understand why, let's look at how temperature is measured on both scales. On the Celsius scale, the freezing point of water is 0°C and the boiling point is 100°C, whereas on the Fahrenheit scale, the freezing point is 32°F and the boiling point is 212°F. This means that 100 Celsius degrees cover the same range as 180 Fahrenheit degrees.

The rate at which temperature increases per degree is faster on the Celsius scale compared to the Fahrenheit scale. Specifically, each degree on the Celsius scale corresponds to a 1.8 times larger temperature change than one degree on the Fahrenheit scale. Therefore, a temperature of 50°C is significantly warmer than 50°F. so, 50°C is equivalent to 122°F, a fact made evident by the conversion formula: °F = (°C × 9/5) + 32.

volume = l x w x h

 to increase volume by 3 you would have  3*l*w*h

so 3*l*w*h= l*2*w* x *h  ( x is the scale factor)

cancel out the l w and h on both sides

3 = 2x 

Divide both sides by 2   

 x = 3/2 = 1.5

 the height should increase by a factor of 1.5

Answer:

3/2 or 3 over 2

Step-by-step explanation:

A cereal manufacturer decides to offer a new family-sized box based on the regular-sized box.

They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.

If they decide to double the width to create the family-sized box, by what factor must they increase the height?

Odyssey Question

Answer:

its -5 not five

Step-by-step explanation: