Find the area and perimeter.



Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.

12x + 72; 10x + 3
6x + 36; 10x + 3
12x + 72; 3x + 10
6x + 36; 3x + 10

Answer:

isn't it 5?

by counting the lines from C to B

from C to B the length is 5 while the length of D to C is 6

Answer:

8 and -10

Step-by-step explanation:

B. x = 8 and x = -10

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

\(Speed=\dfrac{Distance}{Time}\)

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

\(2.5=\dfrac{d}{t}\)

\(2.5t=d\)      ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

\(4=\dfrac{d}{t-15}\)

\(4(t-15)=d\)      ...(2)

From (1) and (2), we get

\(4(t-15)=2.5t\)

\(4t-60-2.5t=0\)

\(1.5t=60\)

\(t=40\)

Put t=40 in (1).

\(d=2.5(40)=100\)

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

\(\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}\)

\(\text{Average speed}=\dfrac{200}{65}\)

\(\text{Average speed}\approx 3.08\)

Therefore, the average speed is 3.08 km/h.

Answer:

\( \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}\)

Step-by-step explanation:

\( \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ \)

The magnitude of the number of the minutes in the school is 2.

Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.

There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).

The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.

On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.

The value storage is where you may find the number into the various magnetic.

As a result, the number of minutes spent in school is 2.

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Complete question -

What is the Order of Magnitude of the number of minutes in a school day?

Answer:

V= L x w x h

it is the correct answer

Answer:

First we distribute the -5:

-5(7+x) = -5(7) - 5(x) = -35 - 5x

Then we combine like terms:

-35 - 5x + 2 5/6x = -35 + 2/6x - 5x = -35 + 1/3x - 5x

So:

-5(7+x)+2 5/6x = -35 + 1/3x - 5x

The probability of picking a card with an even number is \(\frac{3}{10}\).

To find the probability of picking a card with an even number:

Therefore, the probability of picking a card with an even number is \(\frac{3}{10}\).

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COMPLETE QUESTION:

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. The probability of picking a card with an even number is _____.

To solve complex fractions there are two methods -

1 - Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator and then simplify further if necessary.

2 - Multiply the numerator and denominator of the overall complex fractions and then simplify further if necessary.

What is a complex fraction?

A rational expression with a fraction in the numerator, denominator, or both is referred to as a complex fraction.

There are two ways to solve a complex fraction -

Method 1 : Take an example - (1/3-1/4)/(1/8+1/2)

Step 1 - If necessary, combine the denominator and numerator into a single fraction.

Add the numerator -

=1/3-1/4

=(4-3)/12

=1/12

Add the denominator -

=1/8+1/2

=(1+4)/8

=5/8

Combine back to form a complex fraction -

=(1/12)/(5/8)

Step 2: Multiply the numerator by the denominator's reciprocal, then divide the result by the denominator.

Step 3: Simplify the rational expression if necessary.

=(1/12)×(8/5)

=8/60

=2/15

Method 2: Take an example - [(2x+1)/(x^2-25)]/[(4x^2-1)/(x-5)]

Step 1 - Divide the LCD of the smaller fractions by the numerator and denominator of the total complex fractions.

(x^2-25)=(x+5)(x-5)

The denominator of the denominator’s fraction  has the following factor -

(x-5)

Using the highest exponent and combining all the other factors, we arrive at the LCD shown below for all the little fractions -

(x+5)(x-5)

By multiplying the LCD by the numerator and denominator -

=[{(2x+1)/(x+5)(x-5)}×(x+5)(x-5)]/[{(2x+1)(2x-1)/(x-5)}×(x+5)(x-5)]

=(2x+1)/(2x+1)(2x-1)(x+5)

Step 2 - Simplify the rational expression if necessary.

=(2x+1)/(2x+1)(2x-1)(x+5)

=1/(2x-1)(x+5)

Therefore, there are two methods to solve complex fractions.

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Answer:

ur welcoem

Step-by-step explanation:

-43/204

Step-by-step explanation:

−5/12 × 17/17 + 7/34 × 6/6 =

= −85/204 + 42/204

= −85 + 42/204

= −43/204

Solution:

Using the formula;

B=p(1+r)t

Where B = balance, p = principal, r = rate, t = time p= 30, r= 10%= 0.1, t=1

B=30(1+ 0.1)1

Answer= 33$

Answer:

Step-by-step explanation:

the x is 40

Answer:

13.2 miles

Step-by-step explanation:

To solve this, we will need to first solve for the base of the triangle and then use the information we find to solve for the shortest route.

(5.5 + 3.5)² + b² = 15²

9² + b² = 15²

81 + b² = 225

b² = 144

b = 12

Now that we know that the base is 12 miles, we can use that and the 5.5 miles in between Adamsburg and Chenoa to find the shortest route (hypotenuse).

5.5² + 12² = c²

30.25 + 144 = c²

174.25 = c²

13.2 ≈ c

Therefore, the shortest route from Chenoa to Robertsville is about 13.2 miles.

Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

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The events a and b are independent events because P(a∣b) = P(a) = 0.18

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

               0 Siblings       1 Siblings      2 Siblings    3+ Siblings  Total

Pet              29                  84                   27               10                150

No Pet        31                   45                    18               6                  100

Total           60                  129                  45               16                250

Also, we have

A = Event that the person has 2 siblings

B = Event that the person does not have a pet

From the above, we have

P(A and B) = 18/250

P(A) = 45/250

P(B) = 100/250

So, we have

P(A | B) = 18/250 ÷ 100/250

Evaluate

P(A | B) = 18/100

Simplify

P(A | B) = 9/50

By comparison, we have

P(A | B) = 9/50 = 0.18

P(A) = 45/250 = 9/50 = 0.18

This means that

P(A) = P(A | B)

Hence, a and b are independent events because P(a∣b) = P(a) = 0.18

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The area of the base is 1/2 x s x s = 1/2 x 12 x 12 = 72 square cm

Volume = area of base x height/3

Volume = 72 x 14/3 = 336 cm^3

The percentage of the logo that is shaded is given as follows:

4%.

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr².

The radius of the larger circle is given as follows:

r = 5 + 2 + 3

r = 10 cm.

Hence the area of the larger circle is given as follows:

A = π x 10²

A = 100π cm².

The radius of the shaded circle is given as follows:

r = 2 cm.

Hence the area of the shaded circle is given as follows:

A = π x 2²

A = 4π cm².

Meaning that the shaded percentage is given as follows:

4π/100π x 100% = 0.04 x 100% = 4%.

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A source of money that allows individuals to pay for goods and services later is called consumer credit and an advantage of this source of money is that there are no interest charges.

Consumer credit, also known as consumer debt, enables the consumers to incur debt or borrow money and to defer repayment of that money over time. It allows consumers to buy goods without having to pay for them in cash at the time of purchase. Examples of consumer credit include credit cards, student loans, etc. Among the advantages of using consumer credit is that there is no interest charge to borrow the money for a certain period of time until the due date.

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The volume of the same shape with the width changed by a scale factor of 1/3 is 256 ft³.

Scale factor is a numerical value used to resize a shape.

It maintains the proportional relationships between the corresponding sides of the original and resized shape.

Scale factor can be used to compare the sizes of similar shapes.

Let's assume that the original dimensions of the rectangular prism are length = l, width = w, and height = h. Then we know that the volume V is given by:

V = l × w × h

We are given that the volume V is 768 ft³. Therefore:

768 = l × w × h ......(1)

Now, let's change the width by a scale factor of 1/3. This means that the new width w' is:

w' = w × (1/3)

The other dimensions (length and height) remain the same. So, the new volume V' is given by:

V' = l × w' × h

Substituting w' = w × (1/3), we get:

V' = l × (w/3) × h

V' = (l × w × h) / 3 .......(2)

But we know from equation (1) that l × w × h = 768. Substituting this into equation (2), we get:

V' = 768 / 3

V' = 256

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Step-by-step explanation:

\( \frac{(y - b)}{(x - a)} = m \\ y - b = m(x - a) \\ y - b = mx - am \\ mx = y - b + am \\ x = \frac{y - b + am}{m} \)

Answer:

below

Step-by-step explanation:

volume of cone =.3*π*r^2h= .3*22*6*6*6/(7)=203.5ft^3

Answer:

The most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2) is a parallelogram.

To see why, we can use the slope formula to find the slope of each side of the quadrilateral. If opposite sides of a quadrilateral have the same slope, then it is a parallelogram.

Slope of AB: (4 - 2) / (-1 - (-3)) = 2/2 = 1

Slope of CD: (2 - 4) / (2 - 4) = -2/2 = -1

Slope of BC: (4 - 4) / (-1 - 4) = 0/-5 = 0

Slope of AD: (2 - 2) / (-3 - 2) = 0/-5 = 0

We can see that the slopes of AB and CD are equal, and the slopes of BC and AD are equal. Therefore, ABCD is a parallelogram.

While it is also true that the opposite sides of this parallelogram are equal in length, we cannot say that it is a rhombus because the diagonals are not perpendicular. We also cannot say that it is a rectangle because the angles are not all right angles. Therefore, the most precise name for this quadrilateral is a parallelogram.

Step-by-step explanation:

The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.

To find the area below z=1.04 for an Upper N(0,1) density, you will need to use the standard normal distribution table or a calculator with a z-table function. Here are the steps:

1. Locate the value of z=1.04 in the table or use the calculator's function.
2. Find the corresponding area value (which represents the probability or percentage of values below z=1.04).

The area below z=1.04 is approximately 0.851, rounded to three decimal places.

(b) To find the area above z=-1.4 for an Upper N(0,1) density, follow these steps:

1. Locate the value of z=-1.4 in the table or use the calculator's function.
2. Find the corresponding area value.
3. Since we need the area above z=-1.4, subtract the area value found in step 2 from 1.

The area above z=-1.4 is approximately 1 - 0.0808 = 0.919, rounded to three decimal places.

(c) To find the area between z=1.1 and z=2.1 for an Upper N(0,1) density, follow these steps:

1. Locate the values of z=1.1 and z=2.1 in the table or use the calculator's function.
2. Find the corresponding area values for both z=1.1 and z=2.1.
3. Subtract the area value of z=1.1 from the area value of z=2.1 to find the area between them.

The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.

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Answer:

z = z

Step-by-step explanation:

first you should combine like terms on the left side of the equation

9z + 7z = 16z

now rewrite

16z-6 = 16z-6

add 6 to both sides

16z = 16z

divide both sides by 16

z = z

Answer:

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Step-by-step explanation:

9z - 6 + 7z = 16z - 6

16z - 6 = 16z - 6

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Answer: Greater than 10.

Answer:20.25

Step-by-step explanation:

Answer:

\(n = \frac{m - 2p}{3} \\ \\ p = \frac{m - 3n}{2} \)

Step-by-step explanation:

\(1. \: m - 2p = 3n \\ 2. \: \frac{m - 2p}{3} \\ 3. \: n = m - 2p \\ \\ 1. \: m - 3n = 2p \\ 2. \: \frac{m - 3n}{2} = p \\ 3. \: p = \frac{m - 3n}{2} \)

Answer:

D

Step-by-step explanation:

we'll use the complex number system to solve this exercice

the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then

 \(1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a\)

for the points to be aligned the fraction \(\frac{c-a}{b-a}\) should be a real number

\(\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3\)

so the points are aligned

Answer:

D (1, 2), (2, 4), (4, 8)

Step-by-step explanation:

Hope this helps

All the conditions for creating a confidence interval for the population proportion been met.

The probability that a population parameter would fall between a set of values for a certain percentage of the time is described by a confidence interval in statistics. Analysts typically employ confidence intervals that cover 95% or 99% of predicted observations.

The prerequisites for establishing the confidence sampling are as follows:

The requirements for establishing a confidence interval for the population proportion have been satisfied because all of the aforementioned requirements are satisfied.

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