An elephant weighs 1.1 × pounds. A giraffe weighs 2.1 × pounds.
How much more does the elephant weigh than the giraffe?
A. 1.0 × pounds
B. 8.9 × pounds
C. 1.0 × pounds
D. 8.9 × pounds

Answer:

Perpendicular bisector

Step-by-step explanation:

Given

The above statement

Required

What describes the given statement?

The term that describes the given statement is the perpendicular bisector.

This is so because:

- The perpendicular bisector passes through midpoints

- The point of intersection is at the \(90^o\)

In mathematics, SAS stands for 'Side-Angle-Side' which is a criterion used to determine congruence (equality in size and shape) between two triangles.

The SAS criterion states that if two triangles have two sides that are proportional in length

and the included angles between those sides are congruent, then the two triangles are congruent.

To understand how SAS works,

Side,

This refers to a specific side of a triangle.

In the SAS criterion, we compare the lengths of the sides of two triangles to determine if they are proportional.

Angle

This refers to a specific angle within a triangle.

In the SAS criterion, compare the angles formed by the corresponding sides of the two triangles to determine if they are congruent.

Side-Angle-Side

This combination of a side, an angle, and another side is what we compare between two triangles.

If the two triangles have the same proportions for the corresponding sides and the same measures for the included angles,

they are considered congruent.

To illustrate this, let's consider an example

Suppose we have two triangles, triangle ABC and triangle DEF.

If side AB is proportional in length to side DE, angle BAC is congruent to angle EDF, and side BC is proportional in length to side EF,

then conclude that triangle ABC is congruent to triangle DEF using the SAS criterion.

By applying the SAS criterion,

mathematicians can determine whether two triangles are congruent without relying on other criteria such as Side-Side-Side (SSS),

Angle-Angle-Side (AAS), or Side-Angle-Angle (SAA).

Congruence is a fundamental concept in geometry and plays a significant role in various geometric proofs and constructions.

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Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99    (cm^2)

Answer:

4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

is the situation could the expression model.

Answer:

10.4443

I hope this helps :D have a good day!

The function for the given situation is m=200+0.8t.

Given that, Leticia is selling raffle tickets for her class fundraiser. Her class receives four-fifths of the money raised from selling the raffle tickets.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the amount of money in Leticia's class fund=m and  the amount of money Leticia has made from selling raffle tickets is t

Now, the function is

m=200+4/5 t

⇒m=200+0.8t

Therefore, the function for the given situation is m=200+0.8t.

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Answer: 2-4h

Step-by-step explanation: les do 3(2-0.9h) first. to do this, multiply each term in the bracket by 3.

3 x 2 = 6

3 x -0.9h = -2.7h

now we have 6 - 2.7h + -1.3h -4.

collect like terms

-2.7h + -1.3h = -4h ad 6-4 = 2

final answer is 2-4h

Answer:

-5/4

Step-by-step explanation:

To find the slope, we have to use this formula:

\(\frac{y2-y1}{x2-x1}\)

in this case -2 is your first x

5 would be your first y

2 would be your second x

and 0 is your second y

so:

0 - 5

-------    = -5/4

2 - (-2)

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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This is because the decimal is a representation of the fraction 23/999 in base 10.

The repeating decimal .230230230... can be written in rational form (the quotient of two integers) using the sum of a geometric series as follows:

First, identify the repeating part of the decimal, which is 0.230.

Let this be represented by x, and let y represent 10 raised to the power of the number of decimal places in the repeating part of the decimal.

In this case, since there are 3 decimal places in the repeating part of the decimal,

y = 1000.

Next, we can use the formula for the sum of an infinite geometric series:

sum = a / (1 - r)

where a is the first term and r is the common ratio.

In this case, the first term is x / y and the common ratio is 1 / y.

So, the sum of the infinite geometric series can be written as:

sum = x / y / (1 - 1 / y)

= x / (y - 1)

Substituting

x = 0.230 and

y = 1000, we get:

sum = 0.230 / (1000 - 1)

= 23 / 999

Therefore, the repeating decimal .230230230... can be written as the rational number 23/999.  

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we have the equation

step 1

Group similar terms and move the constant term to the right

step 2

Complete the square

step 3

Rewrite as perfect squares

hope it helps✓✓✓✓✓✓✓✓✓

Answer: A for 10

Step-by-step explanation:

the width of the actual porch will be 20 feet.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A rectangle is a closed, four-sided figure in two dimensions. All of a rectangle's angles are equal to 90 degrees, and its opposite sides are equal and parallel to one another. See the shape, sides, and angles of the rectangle in the illustration below.

The scale of the Drawing was 14:5

If the width of the porch is 56 inches then what is the length of the porch

Since the scale of the drawing is 14:5 this implies that ratio of width of drawing and the original is 14:5.

Let x be the original width of porch and the width of the drawing is given as 56 inches, therefore by the given ratio we have

56:x=14:5

x = 56*5/14 = 20 feet

Hence the width of the actual porch will be 20 feet.

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323333543

Step-by-step explanation:

To find the parametric equations for the line through (2, 4, 6) that is parallel to the plane x − y + 3z = 7, we can use the point-direction form of the equation of a line.

We know that the point on the line is (2, 4, 6) and the direction vector of the line will be parallel to the normal vector of the plane. The normal vector of the plane x − y + 3z = 7 is (1, -1, 3).

Therefore, the parametric equations of the line through (2, 4, 6) that is parallel to the plane x − y + 3z = 7 will be:

x = 2 + t, y = 4 - t, z = 6 + 3t

To find the parametric equations for the line through (2, 4, 6) that is parallel to the plane x − y + 3z = 7, we need to first find the direction vector of the line.

Since the line is parallel to the plane, the direction vector of the line is perpendicular to the normal vector of the plane. The normal vector of the plane is given by the coefficients of x, y, and z, which are (1, -1, 3).

To find a vector that is perpendicular to the normal vector, we can take the cross product of the normal vector with any other vector. For simplicity, let's take the cross product of the normal vector with the vector (1, 0, 0):
(1, -1, 3) × (1, 0, 0) = (0, 3, 1)
So the direction vector of the line is (0, 3, 1).
Now we can write the parametric equations of the line using the point (2, 4, 6) and the direction vector (0, 3, 1):
x = 2 + 0t = 2
y = 4 + 3t
z = 6 + 1t
So the parametric equations of the line are:
x = 2
y = 4 + 3t
z = 6 + 1t

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We estimate with 95% confidence that the number of cigarettes smoked per day in the United States is between 14.38 and 15.62 million.

To estimate the number of cigarettes smoked per day in the United States, we need to use the following formula for a confidence interval:

sample statistic +/- z* (standard error of the statistic)

where the sample statistic is the mean number of cigarettes smoked per day, z* is the critical value from the standard normal distribution for the desired confidence level, and the standard error of the mean is given by:

standard deviation / sqrt(sample size)

We do not have the sample mean or standard deviation directly, but we can estimate them from the sample of American adults who smoke.

Let's assume that the sample size is n = 1000, and that the sample mean and standard deviation of cigarettes smoked per day are 15 and 10, respectively. Then the standard error of the mean is:

standard error = 10 / sqrt(1000) = 0.316

To find the critical value of z* for a 95% confidence level, we look up the value in the standard normal distribution table or use a calculator. For a two-tailed test with alpha = 0.05, the critical value is approximately 1.96.

Thus, the 95% confidence interval for the mean number of cigarettes smoked per day in the United States is:

15 +/- 1.96*0.316 = (14.38, 15.62)

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The measure of the supplement angle is 54 degrees.

Step-by-step explanation:

Let's denote the measure of the obtuse angle as x.

One-half of the obtuse angle is 9 more than its supplement,

The supplement of an angle is 180 degrees minus the angle itself. Therefore, the supplement of the obtuse angle is 180 - x.

The equation based on the given information:

(1/2)x = (180 - x) + 9

Solve for x:

(1/2)x = 189 - x

Multiply both sides of the equation by 2 to eliminate the fraction:

x = 2(189 - x)

x = 378 - 2x

Add 2x to both sides of the equation:

x+2x = 378 -2x+2x

3x = 378

Divide both sides of the equation by 3:

x = 378 / 3

x = 126

Therefore, the measure of the obtuse angle is 126 degrees.

To find the measure of the supplement, subtract the obtuse angle from 180:

Supplement = 180 - x = 180 - 126 = 54 degrees

Hence, the measure of the supplement is 54 degrees.

Answer:

The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, ...

Step-by-step explanation:

Answer:

n = 104

Step-by-step explanation:

Answer:

n = 104

Step-by-step explanation:

Answer:

A Sheila travels 180 miles in 3 hours. At this rate, how far will she travel in 7 hours?

Step-by-step explanation:

\(\frac{180 miles}{3 hours} = \frac{x miles}{7 hours}\)

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Base² + altitude² =hypotenuse²

x² + 19² = 21²

x² + 361 = 441

         x² = 441 - 361

          x² = 80

          \(x =\sqrt{80}=\sqrt{2*2*2*2*5}=2*2*\sqrt{5}=4\sqrt{5}\)

Tara's average heart rate from r = 30 to 1 = 60 is given by the expression ∫h(t) dt [30 to 60], option A is correct.

An expression consists of variables, numbers, and operators combined together.

The differentiable function h is used to represent the Tara's heart rate during a workout.

The average value of a function over an interval is given by the integral of the function over that interval divided by the length of the interval.

We want to find Tara's average heart rate from t = 30 to t = 60.

The correct expression for the average heart rate is ∫h(t) dt [30 to 60]

This expression integrates the function h(t) over the interval [30, 60], giving us the total "area" under the curve.

Dividing this area by the length of the interval (60 - 30 = 30) gives us the average value.

Hence, the expression ∫h(t) dt [30 to 60] gives Tara's average heart rate from r = 30 to 1 = 60.

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Tara's heart rate during a workout is modeled by the differentiable function h, where h(t) is measured in beats per minute and 1 is measured in minutes from the start of the workout. Which of the following expressions gives Tara's average heart rate from r = 30 to 1 = 60 ?

(a) ∫h(t) dt [30 to 60]

(b) 1/30∫h(t) dt [30 to 60]

(c) 1/30∫h'(t) dt [30 to 60]

(d) h'(30)+h'(60)/2

Answer: unit of account

Step-by-step explanation:

I learned this in Macro Chapter 34.

Answer:

3rd one

Step-by-step explanation:

The X-intercept is the point where the line crosses the x-axis. This happens where the Y is equals to zero.

The point slope form of a line is an equation of the line that takes on the form y - y1 = m(x - x1). In this equation, m is the slope of the line, and (x1, y1) is a point on the line. The x-intercept of a line is the x-coordinate of the point where the line crosses the x-axis. This always happens at the point where y is equal to 0. Therefore, we find the x-intercept of a line in point-slope form by plugging y = 0 into the equation and then solving for x. The point-slope formula is composed of a specific point of coordinates and a slope indicating a type of change over a given variable, such as distance over time. It is said to be as the x-coordinate of a point where a line, curve, or surface intersects the x-axis.

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By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Answer:

Each term in pattern B is 9 less than the corresponding term in pattern A.