13. The average age of a high school freshman is 14.5. How many days old is the average high
school freshman?

Answer:

40

Step-by-step explanation:

11+29=40

Answer:

B)0 to 21 electoral votes

Step-by-step explanation:

edge 2023

The volume of the shelter is 1108.25 cu. ft.

A cuboid is a three-dimensional figure with 6 faces, all the faces are rectangular in shape.

The volume is the space occupied by it in a three-dimensional figure.

The volume of a cuboid whose length is l,

The width is w, and

Height is h.

V = length * Width * Height

V = lwh

The length of the shed is 16.25 ft.

The width of the shed is 11 ft.

The height of the shed is 6 1/5 ft

The height of the shed is 31/5 = 6.2ft.

The volume of the shed is given by

V = 16.25 * 11 * 6.2

V = 1108.25 cu.ft

Therefore, the shed has a volume of 1108.25 cu.ft.

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The angles and side lengths for both triangles are;

3) A = 36°; B = 54°; C = 90°; a = 7; b = 9.63; c = 4.11

4) A = 64°; B = 26°; C = 90°; a = 1.798; b = 0.88; c = 2

3) From the diagram, we are already given;

B = 54°

C = 90°

a = 7

We know that sum of angles in a triangle is 180° and so;

A = 180 - (90 + 54)

A = 36°

By trigonometric ratios;

b/7 = tan 54

b = 7 * tan 54

b = 7 * 1.376

b = 9.63

7/c = cos 54

c = 7 * cos 54

c = 4.11

4) From the diagram, we are already given;

B = 26°

C = 90°

c = 2

We know that sum of angles in a triangle is 180° and so;

A = 180 - (90 + 26)

A = 64°

By trigonometric ratios;

b/2 = sin 26

b = 2 * sin 26

b = 2 * 0.4384

b = 0.88

a/2 = cos 26

a = 2 * cos 26

a = 1.798

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Answer:

[tex] {216 \: in}^{3} [/tex]

Step-by-step explanation:

Split the chimney into 2 rectangular prisms. One is the short one, and the other is the tall one.

The dimensions of the short prism are 4 x 3 x 2. The volume of that prism is found by multiplying those numbers together, which is 24.

The dimensions of the tall prism are 4 x 4 x 12. The volume of that prism is 192.

Adding those 2 volumes together, you will get the volume of the composite figure. 192 + 24 = 216

Volume is always in cubic units

Step-by-step explanation:

let's say one integer is X ....

so , Another one is (X -4).....

so , X × (X - 4) = 45

x² - 4x - 45 = 0

x² - 9x + 5x - 45 = 0

x(x - 9) +5(x - 9) = 0

(x-9) × (X+5) = 0

x-9 = 0 OR x+5 = 0

X= 9 X= -5

X is not a negative integer ......

so , X = 9

X-4 = 5 .......

r = 6
A=πr^2

A = 113.09734

Quarter circle formula = πr^2 / 4

113.09734 / 4 = 28.274335

113.09734 - 28.274335 = 84.824005 is the answer

The quadratic graph which has only one zero among the answer choices as given in the task content is; Choice B; y=x^2+8x+16.

It follows from simplification of quadratic equations in a bid to solve for their zeros by means of factorisation that;

The given quadratic equations in answer choice B can be evaluated for its zeroes as follows;

0=x²+8x+16

0 = x² +4x +4x +16

(x+4) (x+4) = 0

Hence, it follows that x = -4 is the only zero of the given quadratic graph in discuss and hence, Choice B is correct.

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While E will increase, C and D won't change.

A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.

Due to the fact that the circle's equation is,

Nevertheless, we are aware of the circle's equation.

                           [tex]x^{2}+y^{2}+C x+D y+E=0[/tex]

(By figuring out the circle's equation[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex], where r is the radius and (h,k) is the center)

                         [tex]x^{2}+y^{2}+2 h x+2 k y+\left(h^{2}+k^{2}-r^{2}\right)=0[/tex]

The following equation is compared to the generic equation above.

Our results are C = 2h, D = 2k, and E [tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]

As a result, C will be unchanged if r lowers ( because C is free from r)

D won't be effected ( because D is also free from r)

E will, however, rise if r falls.

E[tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]

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Answer:

√s(s-a) (s-b) (s-c)

Step-by-step explanation:

123456

herons formula

Answer:

4x-3y+4z

Step-by-step explanation:

There are lot's of process to answer it but i will show one easy way to find the answer.

To find the required answer we need to subtract 5x - 4y + 8z by  x-y + 4z, we get

5x - 4y + 8z

-x   +  y - 4z  [Note: while subtracting we must change the sigh that one       ___________who we are subtracting]

4x-3y+4z which is a required answer

Answer:

4x - 3y + 4z

Step-by-step explanation:

Let the unknown value that we have to add be 'a'.

Let us make an expression like this.

x -y + 4z + a = 5x - 4y + 8z

Now make 'a' the subject of the equation.

a = 5x - 4y + 8z - x + y - 4z

Now combine like terms.

a = 5x - x - 4y + y + 8z - 4z

a = 4x - 3y + 4z

Now let us check whether the answer is correct or wrong.

We can replace 'a' with ( 4x - 3y + 4z ).

Let us see.

x - y + 4z + 4x - 3y + 4z

Combine like terms.

5x - 4y + 8z

Yes, we are getting the same answer!

Therefore,

we need to add 4x - 3y + 4z to get 5x - 4y + 8z to  x - y + 4z.

Answer:

  a = 144

  b = 67

Step-by-step explanation:

Where a transversal meets parallel lines, consecutive interior angles are supplementary.

  a° +36° = 180° . . . . . . consecutive angles are supplementary

  a = 144 . . . . . . . . . . divide by ° and subtract 36

  b° +113° = 180° . . . . . . consecutive angles are supplementary

  b = 67 . . . . . . . . . . divide by ° and subtract 113

In this case this "of" means we will multiply the two fractions "4/5 × 3/4" exists 3/5.

That operation exists utilized to 'simplify' a fraction (reduce it to lower terms).

When there exists no number that goes into both the top and bottom numbers, then the fraction is in simplest form (lowest terms).

We are looking for 4/5 of 3/4. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply

top × top and bottom × bottom

4/5 × 3/4 exists 4 × 3 on top and 5 × 4 on the bottom.

= (4 × 3)/(5 × 4)

= 12 / 20

= 3 / 5

Therefore, the correct answer is 3/5.

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Answer: B

Step-by-step explanation: what I did was I drew a square and folded it if both sides matched i knew that that was a line of symmetry

Each sample has an equal chance of being picked as part of the sampling procedure known as random sampling. A randomly selected sample is intended to provide a fair reflection of the entire population.

Step 1: He should identify and decide which population he wants to study

Step 2: He should decide the size of the sample. He can do this using a sample size calculator.

Step 3: Select the Sample Randomly using:

It is to be noted that the lottery and Random Techniques can be manual or computer simulated.

The sample bar graph for the above sample is attached.

40% of 60% is not likely to catalyze a change in the needed change. A more proper percentage should be 90%.

Based on the figures given, 72% of the students agree that the dress code is nice (that is , it requires not change).

This means that it is highly unlikely that any changes will be made to the dress code soon.

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To find the area, we take into account that your data is:

To calculate the area of the circle, we use the following formula:

Area: π * r²

We substitute the data in the formula, and we begin to solve.

taking the square root

Multiply the two numbers

Therefore, the area of the circle is 113.04 cm². The correct alternative is option "A".

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In the question, it is given that a circle has a radius of 6 cm , we have to find the Area.

To Find the area of the circle , we must know this formula:

[tex] \quad\quad\quad \longrightarrow\underline{\boxed{\color{violet}{A=\pi*r^2}}}[/tex]

Now, we will substitute the values in the formula:

[tex]\rightarrow\sf{A=\pi*r^2} \: \: \: \: \: \: \: ( \red{\pi = 3.14})[/tex]

[tex]\rightarrow\sf{A = 3.14 * 6^2}[/tex]

[tex]\rightarrow\sf{A = 3.14 * 36}[/tex]

[tex]\rightarrow\sf{A = 113.0}[/tex]

The area of circle is 113.0 approx .

[tex] \color{blueviolet}{ \mathfrak{llNotYourll}}[/tex]

Answer:

1. Given.

2. <5 is supplementary to <4.

2. Angles 5 and 4 are consecutive angles, and by the consecutive angles theorem, the two are supplementary.

3. m<4 + m<5 = 180

3. By the definition of supplementary angles, m<4 + m<5 = 180.

4. m<2 = m<4

4. Angles 2 and 4 are corresponding angles, and by the corresponding angles postulate, the two are congruent. By the definition of congruent angles, m<2 = m<4.

5. m<5 + m<2 = 180

5. Substitution property of equality.

Answer:

1-21>151 and -2>5

I think so.

Answer + Step-by-step explanation:

(a)

Check the attached image.

(b)

Range of sample means : 7.5 - 5.75 = 1.25

(c)

The closer the range of the sample means is to 0 ,

the more confident they can be in their estimate . [tex]\huge \checkmark[/tex]

The farther the range of the sample means is from 0 ,

the more confident they can be in their estimate . 

The mean of the sample means will tend to be a better estimate

than a single sample mean . [tex]\huge \checkmark[/tex]

A single sample mean will tend to be a better estimate

than the mean of the sample means .

See attachment for the graph of the reflection of f(x) across the y-axis

The function is given as:

f(x) = 1.5(0.5)^x

The rule of reflection across the y-axis is

(x, y) = (-x, y)

So, we have the following equation

f'(x) = 1.5(0.5)^-x

Rewrite the function as

g(x) = 1.5(0.5)^-x

So, we plot the graph of the function g(x)

See attachment for the graph of the reflection of f(x)

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step 1 :

g(x) = 1.5

step 2 :

g(0): 1.5

step 3 :

plot at (0,1.5)

step 4 :

g(1) = 3

g(-1) = .75

step 5 :

plot (1,3) & (-1,0.75)

step 6:

y=0

The distance between point [tex](8, \sqrt{17})[/tex] and the center (0,0) is of 9 units, which is less than the radius, hence the correct option is:

Yes, the distance from the origin to the point [tex](8, \sqrt{17})[/tex] is of 9 units.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, we have a circle with center at (0,0) and radius 10. Hence, every point that is less than 10 units of distance from point (0,0) will be on the circle.

The distance of [tex](8, \sqrt{17})[/tex] is:

[tex]D = \sqrt{(8 - 0)^2+(\sqrt{17} - 0)^2}[/tex]

[tex]D = \sqrt{81}[/tex]

D = 9 units.

9 < 10, hence the correct option is:

Yes, the distance from the origin to the point [tex](8, \sqrt{17})[/tex] is of 9 units.

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The number of rectangles of different sizes can be formed from 36 identical rectangles is 5

From the question, we have proofs of;

Total number of identical squares = 36

Now, let the measurement of the side of each square be 1 unit

We have that the formula for area of a square is;

Area of a square = Side × Side square units

We have the area of the square to be;

Area of each square = 1×1 = 1 square units

This is so because the rectangles are identical both in length and width

Let's find the area of the identical squares

Area of total 36 identical squares

=  36×1 square units

=  36 square units

So Area of the rectangle = length × breadth square units

if the rectangles are formed from 36 identical squares then their areas are the same

Total area of required rectangles = 36 square units

It can be written as;

36 = length × breadth

(1,36) , (2,18),(3,12),(4,9),(6,6) are the different rectangles formed from 36 identical squares

Total rectangles = 5

Thus, the number of rectangles of different sizes can be formed from 36 identical rectangles is 5

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Triangles DEF and JKL can be proven to be congruent triangles based on:

C. ASA

E. AAS

F. LA

The ASA congruence theorem states that if two triangles that are have two pairs of corresponding congruent angles and a pair of corresponding included congruent sides, then both triangles are congruent to each other.

The LA congruence theorem states that two right triangles are congruent if they have a pair of congruent legs and a pair of congruent angles that are corresponding to each other.

The AAS congruence theorem states that two triangles with two pairs of congruent angles and a pair of congruent non-included sides are congruent.

From the image given, triangles DEF and JKL can be proven to be congruent triangles using the LA, AAS, and ASA congruence theorems.

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Answer:

A

Step-by-step explanation:

Find the ratio of pounds to dollars, [tex]\frac{3}{2}[/tex] or 1.5.

Next test each option by multiply the pounds by that ratio.

A: 28*1.5=42

B: 23*1.5=34.5

C: 11*1.5=16.5

D: 10*1.5=15

You can see A is the incorrect answer as 28 pounds would be 42 dollars, not 44.

The two stadiums are 2,871 meters

A blimp    = point A

stadium 1  = point B

stadium 2 = point C

height of the blimp ,  AD = 1600

depression angle of stadium 1 , ∠y = 71.7°

depression angle of stadium 2 , ∠x = 25.2°

distance between the two stadiums  = d

So, it forms 2 triangles  ABD and ACD,

Using the trigonometric ratios,

tan θ = Altitude / Base

DC = AD × tan (90° - x)

= 1600 × tan( 90° - 25.2° )

= 1600 × cot(25.2°)

= 1600 × 2.13

DB = AD × tan (90° - y)

= 1600 × tan( 90° - 71.7° )

= 1600 × cot(71.7°)

= 1600 × 0.33

∴ d = DC - DB

     = 1600 * [ tan( 90° - 25.2° ) - tan( 90° - 71.7° ) ]

    = 2,871 meters

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Based on the shape shown on the graph, the reflection of the shape would be b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.

The coordinate grid that the shape would be reflected across is the y axis to get a reflection in the negative side of the x axis.

The first reflection would be of the point that is (2,2). It would be reflected to become (-2, 2).

The second reflection would be of point (2, 6) which would then be reflected to become (-2, 6).

Finally the third point would be of point (4, 2) which would then become (-4, 2).

In conclusion, the reflection was across the y axis.

Options include:

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Answer:

Q₃ = 185

Step-by-step explanation:

the first step is to find the median of the data set

the median is the middle value of the data arranged in ascending order

112 , 130 , 132 , 140 , 149 , 151 , 163 , 172 , 185 , 190 , 200

                                            ↑ middle value

median = 151

the upper quartile Q₃ is the middle value of the data to the right of the median

163 , 172 , 185 , 190 , 200

                   ↑ middle value

upper quartile Q₃ = 185

Answer:

x=1, y=4;

x=2, y=13

Step-by-step explanation:

Answer:

These ratios are not equivalent as Marcia is 2 per friend while Jen is 3 per friend

Step-by-step explanation:

Marcia made 10 bracelets for 5 friends where each friend will be getting 2 bracelets with a 1:2 ratio

Jen made 12 bracelets for 4 friends where each friend will be getting 3 bracelets with a 1:3 ratio