Solving for a missing side.
Find the missing side. Round to the nearest tenth. Please show the work. Part 1
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Hello.

The angle shown for 1 (and 3) is ∠40.

A straight line is shown, which is 180°. So the measure of ∠4 is 140°

Step-by-step explanation:

Simple

If Amelia is 10 years old and so half of Amelia age = 5

Caleb is 2 years more so = 5 + 2 = 7

It means Caleb age = 7

And Amelia age = 10

Answer:

I would say add it up

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct answer would be C - h(x) = f(x) + g(x). The total cost for serving everyone at the barbecue would consist of adding the cost of both the buns and turkey burgers.

Approximately 95.44% of people take between 123 and 171 minutes to read the book.

To find the percentage of people who take between 123 and 171 minutes to read the book, we'll use the properties of the normal distribution.

First, we need to find the z-scores for both 123 and 171 minutes using the formula:

[tex]\[ z = \frac{{X - \mu}}{{\sigma}} \][/tex]

Where:

-[tex]\( X \)[/tex] is the value (in minutes),

-[tex]\( \mu \)[/tex] is the mean (147 minutes),

- [tex]\( \sigma \)[/tex] is the standard deviation (12 minutes).

For 123 minutes:

[tex]\[ z_1 = \frac{{123 - 147}}{{12}} = -2 \][/tex]

For 171 minutes:

[tex]\[ z_2 = \frac{{171 - 147}}{{12}} = 2 \][/tex]

Now, we'll use a standard normal distribution table or calculator to find the percentage of values between these z-scores. For a standard normal distribution, approximately 95.44% of the data falls within ±2 standard deviations from the mean.

So, to find the percentage of people who take between 123 and 171 minutes, we subtract the percentage outside this range from 100%:

[tex]\[ \% = 100 - (100 - 95.44) = 95.44\% \][/tex]

Approximately 95.44% of people take between 123 and 171 minutes to read the book.

Answer:

Step-by-step explanation:

The distance of point A from the top of the pole that will make the pole be  perpendicular position to the ground

so, for the pole to be in perpendicular position it must obey Pythagorean theorem

Then, using Pythagoras theorem

c² = a² + b²

x² = 10² + 6²

x² = 100 + 36

x² = 136

x = √136

x = 11.662ft

To nearest tenth

x = 11.7 ft.

So, the pole must be at a distance of 11.7 ft from the top of the pole to point A.

To justify,

10 font long board and an 18 foot long board. To make the ramp right triangle. How long should ramp

So, to calculate the ramp, which is the hypotenuse we will still apply Pythagorean theorem

Then, using Pythagoras theorem

c² = a² + b²

x² = 10² + 18²

x² = 100 + 324

x² = 424

x = √424

x = 20.59 ft

To nearest tenth

x = 20.6 ft.

So, the ramp is 20.6 ft long

Jalen needs to measure 8 feet from point A to the base of the pole to set it perpendicularly to the ground.

To make the pole perpendicular to the ground, Jalen needs to measure the distance from point A to the base of the pole, which forms a right angle at point B.

Using the Pythagorean theorem: Distance AB = √((10)^2 - (6)^2) = √(100 - 36) = √64 = 8 feet.

Therefore, Jalen needs to measure 8 feet from point A to the base of the pole for it to be positioned perpendicularly.

Answer: point B should be the 2nd number on the number line.

Step-by-step explanation:

the answer is shove it up your  whole

hAHA JK ITS B

Answer:

2.67 ounce of cashews are in the mix.

Step-by-step explanation:

Since we are dealing with a 32 ounce bag of mixed nuts and 1/12 of this bag is cashews (1/12 of the mix),

Then:

1/12 × 32 ounce = The actual quantity of cashew nuts in the mix.

= 1/12 × 32

= 32/12

= 2.67 ounce of cashews are in the bag.

Answer:

2.666ounce is contained in the bag

Step-by-step explanation:

Given that 32 ounce of bag has mixed nuts of which 1/12 of this bag contain cashews.

(1/12 of the entire mix),

Hence,

1/12 × 32 ounce

= 1/12 × 32

= 32/12

= 2.666ounce of cashews are in the bag.

Answer:

14 /3- fraction

(Decimal: 4.666667)

Step-by-step explanation:

The value of the numerical expression is 26

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the expression be A = (2/5)^2 • 100 ÷ 2/3 + [2^4 ÷ (13 - 5)]

Now , on simplifying the equation , we get

A = ( 2/5 )² x 100 / ( 2/3 ) + [ 2⁴ / 8 ]

A = ( 4/25 ) x ( 100 x 3 ) / 2 + 2

So , the equation will be

A = 4/25 x ( 300/2 ) + 2

A = 4/25 x 150 + 2

A = 4 x 6 + 2

A = 24 + 2

A = 26

Therefore , the value of A is 26

Hence , The value of the numerical expression is 26

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Answer:

5 [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

A thirty minute TV program means that is the total.

If each commercial is 2 1/2 minutes long then we multiply that my three (for each of the times they show a commercial)

2 1/2 * 3 = 7 1/2 minutes (That's the commercials)

30 (Total) - 7 1/2 = 22 1/2 (That all the entertainment segments together)

Since there is 4 segments we divide 22 1/2 by 4

(22 1/2) / 4 = 5.625 or 5 and 5/8

Final answer:

To solve the system of equations, you can substitute the value of y in terms of x from the third equation into the first two equations.

Explanation:

The system of equations given is:

Y = ½x + 1

Y = -½x - x + 1

y = x - 1

To solve these equations, we can substitute the value of y in terms of x from the third equation into the first two equations:

Substituting y = x - 1 into Y = ½x + 1:

Y = ½(x - 1) + 1

Simplifying, we get:

Y = ½x - ½ + 1

Substituting y = x - 1 into Y = -½x - x + 1:

Y = -½(x - 1) - (x - 1) + 1

Simplifying, we get:

Y = -½x + ½ + 1

Therefore, the system of equations can be simplified to:

Y = ½x - ½ + 1

Y = -½x + ½ + 1

Answer:

1.25 m.

Step-by-step explanation:

Given,

Area of base = 1.2 m²

Number of gold fish = 6

Density of the tank should be = 4 fish/m³

Height of the tank= ?

4 fish = 1 m³

6 fish = 1.5 m³

Volume required for 6 fish is 1.5 m³

V = area of base x height

1.5 = 1.2 x h

h = 1.25 m

Hence, height of the tank is equal to 1.25 m.

Answer:

1.25

Step-by-step explanation:

Answer:

Median = 42  pounds

Step-by-step explanation:

It is given that the following are the weights,in pounds, of some dogs at a kennel: 36,45,29,39,51,49.

Arrange the data in ascending order.

29, 36, 39, 45, 49, 51

Total number of terms = 6 (even)

So, the formula for median is

[tex]Median=\dfrac{\frac{n}{2}\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}[/tex]

[tex]Median=\dfrac{\frac{6}{2}\text{th term}+(\frac{6}{2}+1)\text{th term}}{2}[/tex]

[tex]Median=\dfrac{3\text{rd term}+4\text{th term}}{2}[/tex]

[tex]Median=\dfrac{39+45}{2}[/tex]

[tex]Median=42[/tex]

Hence, the median weight is 42 pounds.

To find the median, units of the data should be same. If one of the weights were given in kilograms, then we cannot find median.

Answer:

  y = 1/8(x -2)^2 -1

Step-by-step explanation:

The vertex form of the equation of a parabola can be written as ...

  y = (1/(4p))(x -h)^2 +k

for vertex (h, k) and vertex-to-directrix distance p. Here, the vertex has a y-value of -1, and the directrix has a y-value of -3, so the distance between them is -1 -(-3) = 2, and the desired equation with vertex (2, -1) is ...

  y = 1/8(x -2)^2 -1

_____

Comment on the graph

One description of a parabola is that it is the locus of points equidistant from the focus and the directrix. I like to show that a point on the parabola (not the vertex) meets that requirement. That is what the dashed orange lines are for in the diagram. You can easily see that each has length 4.

Answer:

$91,749.04

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 2.3% into a decimal:

2.3% -> [tex]\frac{2.3}{100}[/tex] -> 0.023

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

[tex]A=65,000(1+\frac{0.023}{12})^{12(15)}[/tex]

[tex]A=91,749.04[/tex]

You will have $91,749.04 in 15 years.

Answer:

{13, 23, 11, 16, 15, 10, 26}

Step-by-step explanation:

The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number. Example: find the Median of {13, 23, 11, 16, 15, 10, 26}. The middle number is 15, so the median is 15.

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Answer:

The answer would be the last one.  18, 15, 11, 14, 19, 6

Here's Why:

To find the median, you must first put these numbers in order from least to greatest.

Least ----> Greatest

6, 11, 14, 15, 15, 18, 19

The next step is to find the middle number. In this case, the middle number is 15, therefore, you're median is 15.

6, 11, 14, 15, 15, 18, 19

(: hope this answers your question

Answer:

7*4

14*2

Step-by-step explanation:

Answer:

Answers will vary

Step-by-step explanation:

There are many possibilities, especially if you're going beyond whole numbers, meaning decimals work as well

Whole numbers

1 and 28

2 and 14

4 and 7

Decimals

3 and 9.33 or 9 1/3

5 and 5.6

6 and 4.67 or 4 2/3

8 and 3.5

9 and 3.11

10 and 2.8

These are just a few simple ones, it gets even more complicated if you have two numbers both with decimals

Answer:

8.75 per hour

you would put the overall money earned and divide it by how many hours he worked

example:

87.50 ÷ 10 = 8.75

Answer:

The possibility that John And sue both miss their shots = 0.39

Step-by-step explanation:

John makes 35% of his free throw shots = 0.35

The probability of John missing his shot = 0.65

Sue makes 40% of her free throw shot = 0.4

The probability of Sue missing his shot = 0.6

The possibility that John And sue both miss their shots = 0.65 (0.6)

= 0.39

The common ratio of the geometric sequence –1,-8, -64, ... is 8. This is calculated by dividing a term in the sequence by its preceding term and is same across all consecutive terms.

In a geometric sequence, the common ratio is found by dividing any term by its preceding term. Here, the sequence given is –1,-8, -64, ...

Let's calculate the ratio for this series: We divide the second term (-8) by the first term (-1), which is 8. Let's check it with the next terms, where we divide the third term (-64) by the second term (-8). We find the ratio to be 8 again.

Therefore, the common ratio of the given geometric sequence –1,-8, -64, ... is 8.

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The common ratio of the geometric sequence -1, -8, -64, ... is -8, which results from dividing any term of the sequence by its preceding term.

Geometric sequence: -1, -8, -64, ...

Common ratio:

To find the common ratio, we divide each term by its preceding term.

In this case, -8 ÷ (-1) = 8 and -64 ÷ (-8) = 8.

Therefore, the common ratio is 8.

From the information given, the area of the circle is: "113 sq. cm".

The formula to find the area of a circle is πr².

Using the side as the radius of the circle, we can calculate the area of the base area.

Note;

r = 6

Thus,

A = π * 6²

A = (22/7) * 36

A = 3.14285714286 * 36

Hence, The area of the circle A = 113.142857143 or 113 sq. cm.

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Answer:

360 miles

Step-by-step explanation:

15 times 8= 120 miles I. September

Times 3 in August=360 miles

Answer:

Quadratic equations will have two real number solutions that are

A. 0 = 2x2 – 7x – 9

C. 0 = 4x2 – 3x – 1

D. 0 = x2 – 2x – 8

In a quadratic equation, the variable x is an unknown value, for which we need to find the solution. Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.

Solving Quadratic Equations

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Answer:

a. f(x) is continuous for all real numbers

Step-by-step explanation:

At x = 1

Piece 1:

f(x) = 1² + 4 = 5

Piece 2:

f(x) = 1 + 4 = 5

First piece ends at (1,5)

Second piece starts at (1,5)

So no discontinuity

Answer:

$45,000

Step-by-step explanation:

Let Kevin's Salary=x

Ethan's Salary=$34,200.

Since Ethan is earning a salary that is 28% lower than the salary of Kevin.

Ethan is earning (100-24)%=76% of Kevin's Salary.

76% of Kevin's Salary=$34,200.

0.76x=34200

Divide both sides by 0.76

x=45000

Kevin's Salary is $45,000.

Answer:

30.10

Step-by-step explanation:

Given:

In ΔPQR, ∠Q = 90°

PQ = 8 cm

QR = 15 cm and

PR = 17 cm

To find the value of ∠P.

Formula

By Trigonometric ratio we get,

[tex]tan \theta=\frac{opp}{adj}[/tex]

Now let us take ∠P = θ

With respect to θ, QR be the opposite side and PQ be the adjacent side.

So,

tan θ = [tex]\frac{QR}{PQ}[/tex]

tan θ = [tex]\frac{15}{8}[/tex]

θ = [tex]tan^{-1} (\frac{15}{8} )[/tex]

θ = 61.93° (approx)

Hence, the value of ∠P is 61.93° (approx).

Answer:

61.93°

Step-by-step explanation:

Using cosine law:

15² = 8² + 17² - 2(8)(17)cosP

225 = 353 - 272cosP

cosP = 8/17

P = 61.92751306

Answer: the school paid $80 for the book.

Step-by-step explanation:

Let x represent the amount that the school paid for the book.

Her school charges a lost book fee equal to 75% of the cost of the book. It means that the amount that the school would charge on a book that cost $x is

75/100 × x = 0.75 × x = 0.75x

Sarah received a notice stating that she owed the school $60 for he lost book. It means that

0.75x = 60

x = 60/0.75

x = $80

Answer:

Bethanie and Laney walked a total of = 0.66 miles or ([tex]\frac{33}{50}[/tex]th of a mile)

Step-by-step explanation:

Bethanie walked 3/10th of a mile

Laney walked 36/100th of a mile

Lets divide and convert them to decimal:

3 divided by 10 gives us 0.30

36 divided by 100 gives 0.36

Total they walked:

0.30 + 0.36 = 0.66 miles

That would be (in fraction):

66/100 = 33/50 of a mile