If x = 6 units, y = 6 units, and h = 7 units, find the area of the trapezoid shown above using decomposition.
A.
126 square units
B.
84 square units
C.
42 square units
D.
63 square

Answer:

4

Step-by-step explanation:

we have 2oranges from you and another 2oranges from your friend, you have 4oranges, simple

Answer:

We get Y=4 when X =24

Step-by-step explanation:

If Y varies directly with X,  find Y when X=24, if Y = 5  when X= 30.​

We are given If Y varies directly with X, we can write:

\(Y\:\alpha\: X\\Y=kX\)

Where k is constant of proportionality

We need to find Y when X=24, first we need to find k, the constant of proportionality.

Now, we are given: If Y = 5  when X= 30.​

We can find value of k

\(Y=kX\\5=k(30)\\k=\frac{5}{30}\\k=\frac{1}{6}\)

So, k=1/6

Now, we will find Y when X = 24

and k=1/6

\(Y=kX\\Y=\frac{1}{6}(24)\\Y=4\)

So, Y=4 when X =24.

​

Answer:

The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.

Step-by-step explanation:

By finding the y-intercept, you can conclude that the member can tolerate a temperature of 173° Fahrenheit for 0 minutes.

Answer:

the answer is A.The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.

Step-by-step explanation:

on edg 2020 :)

Answer:

h=(x/5)-8

Step-by-step explanation:

i hope that helps

Formula for h is, h = 1/5 (x - 8).

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 formula is,

⇒ x = 5h + 8

Now, We can solve the formula for h as;

⇒ x = 5h + 8

Subtract 8, we get;

⇒ x - 8 = 5h + 8 - 8

⇒ x - 8 = 5h

Divide by 5;

⇒ 1/5 (x - 8) = h

⇒ h = 1/5 (x - 8)

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An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

A piece of material measures 38 inches.

Courtney cuts the piece of material into two pieces.

One piece measures 19 inches.

Let x be the length of other pieces.

An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x

Therefore, 19 + x = 38 is an addition equation.

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3.76 many times large is 7.9 x 10⁴ than 2.1 x 10³. This can be solved using scientific notation method.

A method of writing numbers that combines a power of 10 with a number between 1 and 10. Using scientific notation, one may express extremely big or extremely small values. Once a number between 1 and 10 has been multiplied by such a power of 10, it is then expressed in scientific notation. For instance, 6.9 × 10⁸ can be used to represent the number 690,000,000.

The main goal of scientific notation is to simplify computations using numbers that are abnormally big or tiny. When a number is written in scientific notation, all of the digits are important since zeros are no longer utilized to set the decimal point.

For: 7.9 x 10⁴

= (79/10) x 10⁴

= 79 x 10³

on the other hand for: 2.1 x 10³

Thus, 3.76 many times large is 7.9 x 10⁴ than 2.1 x 10³.

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Answer:

Answer: 50 adult tickets and 70 student tickets

Answer: I think the answer is they sold 900 tickets I don't know really

Step-by-step explanation:

Step-by-step explanation:

Answers chosen by you are correct.

you can submit.

The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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Answer:

x=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

6x + 2 = x-8

6x - x = -8 -2

5x=-10

x=-2

Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

This triangle(Fig. 9.120) is a right angled triangle.

So, the three angles in this triangle are :

▪︎angle 90°, angle 63° and angle y.

Sum of all angles in a triangle = 180°

Which means :

\( = \tt90 + 63 + y = 180\)

\( = \tt153+ y= 180\)

\( = \tt \: y = 180 - 153\)

\( \hookrightarrow \color{plum}\tt angle \: y = 27°\)

Since the sum of all angles equals 180°[90+63+27=180] we can conclude that we have found out the correct measure of angle y.

▪︎Therefore, the measure of angle y = 27°

The triangle in Fig. 9. 121 is a right angled triangle.

So, the angles in this triangle are :

▪︎angle 90°, angle 28.3° and angle z.

Sum of all angles in a triangle = 180°

Which means :

\( = \tt 90 + 28.3 + z = 180\)

\( = \tt118.3 + z = 180\)

\( = \tt z = 180 - 118.3\)

\( \hookrightarrow \color{plum} \tt \: angle \: z = 61.7°\)

Since the sum of all angles equals 180°[90+28.3+61.7=180°] we can conclude that we have found out the correct measure of angle z.

▪︎Therefore, the measure of angle z = 61.7°

The triangle in Fig. 9. 122 is a right angled triangle.

So, the angles in this triangle are :

▪︎angle 90°, angle 45.8° and angle x.

Sum of all angles in triangle = 180°

Which means :

\( = \tt90 + 45.8 + x = 180\)

\( = \tt135.8 + x = 180\)

\( = \tt x = 180 - 135.8\)

\( \hookrightarrow \: \color{plum}\tt \: angle \: x = 44.2°\)

Since the sum of all angles equals 180°[90+45.8+44.2=180°] we can conclude that we have found out the correct measure of angle x.

▪︎Therefore, the measure of angle x = 44.2°

The triangle in Fig. 9.123 is a right angled triangle.

So, the angles in this triangle are :

▪︎angle 90°, angle 35.7° and angle y.

Sum of all angles in a triangle = 180°

Which means :

\( = \tt90 + 35.7 + y = 180\)

\( = \tt 125.7 + y = 180\)

\( = \tt y = 180 - 125.7\)

\( \hookrightarrow \color{plum}\tt angle \: y = 54.3°\)

Since the sum of all angles equals 180°[90+35.7+54.3=180°] we can conclude that we have found out the correct measure of angle y.

▪︎Therefore, the measure of angle y = 54.3°

No, angle x is not twice of angle y. As we know the value of angle x in fig. 9.122 is equal to 44.2°. And the value of angle y in fig. 9.123 is equal to 54.3°. Since the measure of angle x is lesser than angle y it cannot be twice as much as angle y.

Therefore, angle x is not twice as much as angle y since angle x < angle y.

Answer:

slope= 4,

Step-by-step explanation:

y = 4x-6

Answer:

Option B

Step-by-step explanation:

As property of angle inside circle, arc BC = 2 x angle BDC.

Let's consider triangle ABD.

BAD = 98 deg  

ABD = (1/2) x arc AD = (1/2) x 80 = 40 deg

As the property of sum of 3 angles in a triangle,

=> ADB + ABD + BAD = 180

=> ADB = 180 - ABD - BAD = 180 - 40 - 98 = 42 deg

=> BDC = 70 - 42 = 28

=> arc BC = 2 x 28 = 56 deg

=> Option B is correct

Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

0.9.30 am to 4.30 p.m. is 7 hours.

If we minus 30 minutes from it then it is 6 hours 30 minutes.

Answer:

11....................

Answer:

11

Step-by-step explanation:

Answer:

10, 13

Step-by-step explanation:

Lets call the other x

x + 6x - 47 = 23

7x - 47 = 23

7x = 70

x = 10

6 x 10 - 47= 60 - 47 = 13

Hope this helps!

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

Answer:

y + 4 = (16/81)(x - 10)

Step-by-step explanation:

The general formula for a parabola passing through (x, y) and with vertex (h, k) is                  y - k = a(x - h)^2.

Here we are told that x = 1, y = 12, h = 10 and k = -4, which gives us:

                         12 + 4 = a(1 - 10)^2, or

                              16  =  81a

Then a = 16/81, and the desired parabola is

                                  y + 4 = (16/81)(x - 10)

Answer:

b

Step-by-step explanation:

ap3x

Answer:\(-10\frac{3}{8}\)

Step-by-step explanation:

I dont know if the live on the other side of 16 is a mistake but if it is than thats the answer above.

Answer:

$1.85 = £1

Step-by-step explanation:

55680/72.50 = 786

55680/128 = 435

435x = (786 + 19.80)

x = 805.8/435

x = 1.85

Answer:

£1 = $1.72

Step-by-step explanation:

55680/72.50=768

55680/128=435

768.00 - 19.80 = 748.20

x = 748.20 / 435

x = $1.72

Answer:

a. \(\tt \frac{1}{9}\)

b. \(\frac{1}{16}\)

c. 4

Step-by-step explanation:

\(\tt a. \:3^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:

\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)

\(\hrulefill\)

\(\tt b.\: -2^{-4}\)

We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:

\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)

\(\hrulefill\)

\(\tt c. \:(\frac{1}{2})^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:

\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)

Answer:

Step-by-step explanation:

(a) 3^-2 = 1/9

(b) (-2)^-4 = 1/(-2)^4 = 1/16

(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4

The significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality.

Quote means to cite something as a form of proof. It has several other senses as a verb and a noun. It should be noted that to quote something or someone is to repeat the exact words they said or to recite the exact words written in a book.

Great speakers often quote other inspiring people when making speeches. When you quote, you include the words and ideas of others in your text exactly as they have expressed them.

You signal this inclusion by placing quotation marks (“ ”) around the source author's words and providing an in-text citation after the quotation.

In this case, the significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality. A quotation is the repetition of a sentence, phrase, or passage from speech or text that someone has said or written.

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A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

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