Jasmine and Luke used fea part b

To solve for the area of a composite figure, break it down into simpler shapes and calculate their areas, ensuring all measurements are in the same units and converting if necessary, then add the areas together and express the answer to the correct number of significant figures.

The question is about finding the area of a composite figure, which is often a problem in high school mathematics. When calculating the area of a composite figure, we can break it down into simpler shapes such as rectangles and triangles. The area of a rectangle is found by multiplying its height by its width, while the area of a triangle is half the product of its base and height. We can then add these areas together to get the total area of the composite figure. It's important to ensure that all measurements are in the same units before performing the calculation. If necessary, we use conversion factors to change to the appropriate units and report the final answer to the correct number of significant figures.

For example, if we are given a rectangle with dimensions provided in meters and centimeters, we convert all measurements to the same unit, usually the meter, before calculating the area. To maintain accuracy, we use the fact that the number 1 and 100 in the conversion factors (such as 1m = 100 cm) are exact numbers and do not impact the significant figures of our final answer.

The measure of the complimentary angle is 60 degrees.

The complimentary angle is the angle where the sum of angles should be 90 degrees

Since An angle measures 30 degrees.

So, the measure of an angle should be

= Sum of angles - one measurement of angle

= 90 - 30

= 60 degrees

Therefore we can conclude that The measure of the complimentary angle is 60 degrees.

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Step-by-step explanation:

Given

x + 2y = 4

x = 4 - 2y.......... equation 1

-4x -7y = - 9.......equation 2

Putting equation 1 in equation 2

- 4 ( 4 - 2y) - 7y = - 9

-16 + 8y - 7y = -9

y = - 9 + 16

y = 7

Now

x = 4 - 2* 7 = 8 - 7 = 1

hope this helps.

Answer:

X=-10  y=7

Step-by-step explanation:

1) in first equation subtract 2y on both sides

X=4-2y

Substitute as "x" in the second equation:

-4(4-2y)-7y=-9

-16+8y-7y=-9

-16+y=-9

Y=7

Substitute y as 7 to get x)

X=4-2(7)

X=4-14

X=-10

Hope this helps

Answer:

option A

Step-by-step explanation:

log_2(100)

we can simplify it

we can use base change formula

log_2 (100)=\frac{ln\left(100\right)}{ln\left(2\right)}

log_2 (100)=6.643856

Second value is :

log_6(20)

we can simplify it

we can use base change formula

log_6(20)=\frac{ln\left(20\right)}{ln\left(6\right)}

log_6(20)=1.67195

so, we know that

6.6438 is almost 4 times of 1.67195

The value of log₂ (100) is about 4 times the value of log₆(20). The correct answer would be an option (A).

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

According to the problem, we will use some of the basic logarithmic properties,

The logarithms expression is given, as follows:

log₂(100)

It can use the base change formula,

log₂ (100) = ln (100) / ln (2)

log₂ (100) = 6.643856

The second value is :

log₆(20)

It can use the base change formula

log₆(20) = ln (20) / ln (6)

log₆(20) = 1.67195

Since 6.6438 is almost 4 times 1.67195

Hence, the correct answer would be option (A).

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Answer:

B is the correct answer ( square root of ten)

Step-by-step explanation:

I just did it and got it right

The slant-height of the pyramid having perpendicular height as 3 units, base as 1 unit is : (b) √10.

A Pyramid is a three-dimensional geometric shape with a polygonal base and triangular faces that meet at a single point called the apex. The base can be any polygon, and the number of sides of the base determines the type of pyramid (e.g., a square base yields a square pyramid)

The "Slant-Height" of the given pyramid can be calculated by using Pythagoras-Theorem, which states that; (slant-height)² = (perpendicular)² + (base)²;

Substituting Perpendicular height as 3 units, base as 1 unit, and slant-height as "x";

We get,

⇒ 3² + 1² = x²,

⇒ x² = 9 + 1,

⇒ x² = 10,

⇒ x = √10,

Therefore, the slant-height is √10, option (b) is correct.

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Answer:

the answer was 38 sorry

Step-by-step explanation:

Answer:

F(6) = 38

Step-by-step explanation:

F(x) = 7x - 4

Plug in 6 where x is

F(6) = 7(6) - 4

Multiply

F(6)= 42 -4

Subtract

F(6) = 38

Answer: The Answer is D.

Step-by-step explanation: You are trying to get x by itself, and in order to do that, you need to get the 57 away from it. In order to do THAT, you need to do the opposite of what s already being done. Since your already subtracting it, in order to get it away from x, you need to add it to itself, and then add it to the other side, because what you do to one side, you do to one side, you must do to the other.

Answer:

(a)Mean=7 Hours

(b)Mean Absolute Deviation=2.5 Hours

Step-by-step explanation:

Given the number of hours of TV watched each week by 8 seventh grade students shown below.

11, 7, 9, 3, 3, 8, 10, 5

(a)Mean

[tex]Mean=\dfrac{\text{Addition of all the terms}}{\text{Number of Terms}} \\=\dfrac{11+7+9+3+3+8+10+5}{8} \\=\dfrac{56}{8} \\$Mean Number of Hours=7[/tex]

(b)Mean absolute deviation

[tex]M.A.D=\dfrac{|11-7|+|7-7|+|9-7|+|3-7|+|3-7|+|8-7|+|10-7|+|5-7|}{8} \\=\dfrac{4+0+2+4+4+1+3+2}{8} \\=\dfrac{20}{8}\\$Mean Absolute Deviation=2.5 Hours[/tex](c)The Mean Absolute Deviation tells us how far, on average, all values are from the mean. The Mean absolute deviation of 2.5 Hours tells us that each hour is on the average far from the mean number of hours by 2.5 Hours.

Answer:

48 in.

Step-by-step explanation:

Scales are based on proportions. The proportion in this scenario is:

96/6 = x/3

Cross multiply. You are left with the equation:

96x3 = 6x

Simplify.

288 = 6x

288/6 = x

48 = x

Hope this helps :)

A model's scale ratio is the proportionate ratio of dimensions. The actual motorcycle stands at a height of 48 inches.

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

The length of the motorcycle is 96 inches, while the length of the scale model of the motorcycle is 6 inches. Therefore, the scale ratio can be written as,

[tex]\rm Scale\ Ratio = \dfrac{\text{The actual length of the motorcycle}}{\text{The model length of the motorcycle}}\\\\Scale\ Ratio = \dfrac{96}{6} = 16[/tex]

Using the same ratio the height of the motorcycle can be written as,

[tex]\rm Scale\ Ratio = \dfrac{\text{Actual height of the motorcycle}}{\text{Model height of the motorcycle}}\\\\\\16=\dfrac{\text{Actual height of the motorcycle}}{3}\\\\\\{\text{Actual height of the motorcycle}} = 16 \times 3 = 48\ inches[/tex]

Hence, the actual motorcycle stands at a height of 48 inches.

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Answer:

X= 46

Step by Step explanation:

Move all terms not containing x to the right side of the equation.

The coordinate of the point is (-1,-1).

The answer is option B) (-1, -1).

To identify the x-coordinate of a point on a graph, read the number on the x-axis directly above or below the point. To identify the y-coordinate of a point, read the number on the y-axis directly to the left or right of the point. Remember, to write the ordered pair using the correct order (x,y).

An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis that the point lines up with and y is the number on the y-axis that the point lines up with. The numbers x and y in the ordered pair (x, y) are called coordinates.

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Answer:

C. 3+ (-4)

Step-by-step explanation:

First we have three but then we go back 4 spaces which results in -1

The simplified answer of C. would be 3-4= -1

Answer:

C.

Step-by-step explanation:

Answer:

y= 5/2x - 5

Step-by-step explanation:

5x   -   2y   =   10

-5x                  -5x (Subtract both sides by 5x to leave y by itself)

-2y = -5x + 10

-2y/-2 = -5/-2 + 10/-2

(Divide both sides by -2 to leave y with no coefficient. -5/-2 = 5/2 because there are two negatives. 10/-2 = -5.

y = 5/2 - 5

Answer:

A

Step-by-step explanation: i think tell me if im wrong

Answer:

4 3/8

Step-by-step explanation:

8 × 1 + 7 = 15/8

3 × 2 + 1 = 7/3

Now, we'll multiply both numerator and denominators.

(numerators) 15 × 7 = 105

(denominators) 8 × 3 = 24

= 105/24

Now, we'll find the simplest form of 105/24

= 4 3/8

Answer:

Side length = 7 inches

This number is a rational number, because it is a whole number and it can be represented as a fraction (7 = 14/2 for example)

Step-by-step explanation:

The volume of the pyramid can be calculated as:

V = (1/3)*A*h

Where V is the volume, A is the area of the base and h is the height.

If the volume is 73.5 in3 and the height is 4.5 in, we can find the area of the base:

73.5 = (1/3)*A*4.5

A = 73.5*3/4.5 = 49 in2

As the pyramid have a square base, we can calculate the side length of the base:

A = L*L (L = length)

49 = L^2

L = 7 inches

This number is a rational number, because it is a whole number and it can be represented as a fraction (7 = 14/2 for example)

Answer:

7 rational a rational number is a whole number

Step-by-step explanation:

Answer:

B. a rotation

Step-by-step explanation:

The shape appears to have the same size, but it has been moved in a way that  is not reflection. Through the process of elimination, the answer is rotation.

Answer:

D.) dilation

Step-by-step explanation:

Answer:

247.5

Step-by-step explanation:

220 + (12.5% × 220)

220 + 12.5% × 220

(1 + 12.5%) × 220

(100% + 12.5%) × 220

112.5% × 220

112.5 ÷ 100 × 220

112.5 × 220 ÷ 100

24,750 ÷ 100 = 247.5

Answer:

.3 is greater.

Step-by-step explanation:

.13

.3 or .30

These are the same, and obviously .30 is larger than .13.

Answer:

.3 is greater cause it is also read as .30

Answer:

a. = 111 inches squared b.= 506 inches squared c.=143 inches squared

Step-by-step explanation:

a.

To find the area I broke the shape into two parts one where you multiply 7 and 9 to get the area and one where you multiply 12 and 4 to get the area. The first area is 63 and the second is 48 and together the entire area is 111 inches squared    

b.

To find the area here you do the same thing as a. you break the shape into two parts a part where you multiply 29 and 14 and a part where you multiply 20 and 5. In all you get 506 inches squared.

c.

I this problem you find the area of the triangle and the rectangle.The formula of the triangle is b times h times 1/2 in this case. 6 times 13 times 1/2 which is 39. the area of the rectangle is 8 times 13 = 104. So the total area is 143

Sorry i took so long I had to do something

Answer:

A

Step-by-step explanation:

Both points are positive in the 1st quadrant.

Answer:

A. l

Step-by-step explanation:

Both coordinates are in quadrant 1 because both x and y in quadrant 1 must be positive.

Answer:

Step-by-step explanation: the degree is 0

Final answer:

The degree of the monomial -4/9 is 0 since it contains no variables and can be considered to have variables with an exponent of 0.

Explanation:

The degree of a monomial is the sum of the exponents of all its variables. In the case of the monomial -4/9, there are no variables present, which means that the degree is 0. This is because the monomial can be considered to have variables raised to the power of 0, and any number (except zero) raised to the power of 0 is 1, which does not affect the value of the coefficient (-4/9).

Answer:

X = 8√2.

Step-by-step explanation:

In a 45-45-90 triangle the ratio of the sides are x:x:√2 x.

So here, x = 8 and the side X = 8√2.

Answer:

8.5pi

Step-by-step explanation:

We can solve this problem with a rule of three.

The area of the whole circle is represented by a sector with central angle of 2*pi. So, if we want to find the area of a sector that has a central angle of 17pi/9, we can use the following logic:

sector of 2pi -> area equal to 9pi

sector of 17pi/9 -> area equal to X

2pi / (17pi/9) = 9pi / X

18 / 17 = 9pi / X

X = 17 * 9pi / 18 = 17pi / 2 = 8.5pi

Answer:

You could explain it with a box. Fill a box to the brim with objects. Tell him/her that volume is the stuff inside the box. Even if there are no objects in the box, there is still air. That is volume.

Answer:

It is a sound that can be adjusted

Step-by-step explanation:

Volume is something that is on all handheld or console like elctronics.

It can change the sound from loud to quiet.

Answer:

x+2 is answer by division

Answer:

Null Hypothesis, [tex]H_0[/tex] : P = 4.1%

Alternate Hypothesis, [tex]H_A[/tex] : P > 4.1%

Step-by-step explanation:

We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.

Let p = true percentage  of the population that suffers from extreme shyness.

So, Null Hypothesis, [tex]H_0[/tex] : P = 4.1%

Alternate Hypothesis, [tex]H_A[/tex] : P > 4.1%

Here, null hypothesis states that % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.

On the other hand, alternate hypothesis states that more than 4.1% of the population suffers from professional problems due to extreme shyness.

So, the above hypothesis would be appropriate for conducting the test.

Answer:

The second one

Step-by-step explanation:

Answer:

12(3+m)

Step-by-step explanation:

36 + 12m

Factor out 12

12*3 + 12*m

12(3+m)

Answer:

28.27

Step-by-step explanation:

Area=  pi x radius squared

Radius is 1/2 the diameter which in this case is 6 ft

So, pi x 3 squared (9)

= 28.27

Answer:

28.3

Step-by-step explanation:

Hello!

To find the area of a circle we use πr².

In this case, all we have to do is divide 6 by 2 and square that.

6 ÷ 2 = 3. 3² = 9.

9 × π = 28.2743....

Rounding to the nearest tenth:

28.3

Thus, the area of the circle is [tex]\boxed{28.3}[/tex].

Hope this helps!