6. The box plot displays the temperature
of saunas in degrees Fahrenheit. What is
the median?
110 112 114 116 118 120 122 124 126
degrees (Fahrenheit)​

Keep in mind that:

With this information, I have created a diagram. I encourage you to always draw a diagram when you can - it aids in the solving process.

Now, to find a, set the measures of the interior angles equal to 180.

(a + 15) + 7a + 7a = 180

Solve for a.

a + 15 + 7a + 7a = 180

15 + 15a = 180

15a = 165

a = 11

Find the angle measures by plugging 11 for a.

a + 15

(11) + 15

26

7a

7(11)

77

Check your work by adding the angles measures.

77 + 77 + 26 = 180

a = 11

Each base angle measures 77 degrees and the vertex angle measures 26 degrees.

Final answer:

To find the unknown angles in the isosceles triangle, we set up an equation using the fact that the sum of angles in a triangle is 180°, which gives a value of 11° for 'a.' Consequently, the vertex angle is 26°, and each base angle is 77°.

Explanation:

The question involves finding the unknown angle measures in an isosceles triangle when given the vertex angle and one of the base angles as algebraic expressions. Since we are dealing with an isosceles triangle, two base angles are equal, and the sum of all angles in a triangle is 180°. The vertex angle is given as (a+15)° and one of the base angles as 7a°. According to the properties of an isosceles triangle, the other base angle is also 7a°. Therefore, we can set up the equation:

(a+15)° + 7a° + 7a° = 180°

Combining like terms, we get:

15° + 15a° = 180°

Subtracting 15° from both sides:

15a° = 165°

Dividing by 15:

a = 11°

Now we can find each angle:

Vertex angle = a + 15° = 11° + 15° = 26°

Each base angle = 7a° = 7(11°) = 77°

The measures of the angles are therefore 26° (vertex angle) and 77° (each base angle).

Step-by-step explanation:

base = 19 inch

height = 14 inch

[tex]area \: of \: triangle \: = \frac{1}{2} \: ( base)(height) \\ \\ area \: of \: triangle \: = \frac{1}{2} (19)(14)[/tex]

area of triangle = 133 inch² !!

Answer:

A.2.251 cm , 2.349 cm, 2.295 cm

B. 0.023 meters.

Step-by-step explanation:

a. The possible actual measurements are 2.251 cm, 2.349 cm and 2.295 cm.

b. Rounded measurement in meters is 0.023 meters

a. To determine which measurements could be the actual measurement of the rainfall, we need to consider how rounding works.

When rounding to the nearest tenth of a centimeter, any measurement with a hundredth digit of 5 or greater rounds up, and any measurement with a hundredth digit less than 5 rounds down.

Given that the rounded measurement is 2.3 cm, let's evaluate the measurements:

2.251 cm: Rounds down to 2.3 cm

2.349 cm: Rounds up to 2.3 cm

2.352 cm: Rounds up to 2.4 cm

2.295 cm: Rounds down to 2.3 cm

So, the possible actual measurements are 2.251 cm, 2.349 cm and 2.295 cm.

b. To convert the rounded measurement to meters, we need to divide it by 100, since there are 100 centimeters in a meter.

Rounded measurement: 2.3 cm

Conversion to meters: 2.3 cm / 100 = 0.023 meters

Equation: Rounded Measurement (in meters) = Rounded Measurement (in centimeters) / 100

Rounded Measurement (in meters) = 2.3 cm / 100

= 0.023 meters

Learn more about Rounding figures click;

https://brainly.com/question/12146052

#SPJ3

Answer:

1,498,420

Step-by-step explanation:

Answer:

X is 18, and Y is 10.5

Step-by-step explanation:

The 92 degree measure is an example of a vertical angle relationship with the (6x-16) which means that that expression would have to equal 92. Solve for X by adding 16 and then dividing by 6. The 92 and 8y together nake a straight line which is equal to 180 degrees. (180-92) divided by 8 to get y

Answer:

Variable

Step-by-step explanation:

A variable is a letter that takes the place of a number.

Answer:

Variable

Step-by-step explanation:

A variable is a letter that represents a number. It can also be solved for. As in 2x+3=100. You would have to solve for the x.

Answer:

7

Step-by-step explanation:

3x14+7=28

Answer:

-7 most definitely.

Step-by-step explanation:

Ok for this you will use absolute value. Absolute value of -7 is 7, and absolute value of 3 is 3. After taking the absolute value, compare the distance by subtracting every value by 1. Whichever value has the largest leftover will be further. This can also be done on number line by plotting it evenly and checking which distance is farther apart.

Answer:

-7

Step-by-step explanation:

If you were to draw a number line and you drew where 1 was, and where 3 and -7 where, which one would have the larger distance? It would be -7.

Answer:

= (a^2 + ab + ab + b^2)

Step-by-step explanation:

Distribute the first a to the second a and b

Distribute the first b to the second a and b

Answer:

Jamar should hit the wall opposite to the side of the barrier(if there is a space), which will cause the ball to bounce off the wall at an angle and into Target.

Aiming for the coordinate (0, 2.5) along the plane AB would ensure that the ball hits the plane AB and travels diagonally to the point T which is the target.

Learn more :https://brainly.com/question/15748955

Answer:

9.3 x 10 to the 4th power

Step-by-step explanation:

Put the decimal between the 9 and 3 to get 9.3.

Then ask yourself how far the decimal is from 0.

Put that number as a power of 10.

So, you get 9.3 x 10 to the 4th power

The required scientific notation of 0.00093 is [tex]9.3 \times 10^{-4}[/tex].

The scientific notation of a number is expressed in the form of "[tex]a\times 10^b[/tex]", where "a" is a decimal number greater than or equal to 1 but less than 10, and "b" is an integer representing the exponent.

To convert 0.00093 to scientific notation, we count the number of decimal places we need to move to the right until we have a single non-zero digit in front. In this case, we need to move four decimal places:

[tex]0.00093 = 9.3 \times 10^{-4}[/tex]

So, the scientific notation of 0.00093 is [tex]9.3 \times 10^{-4}[/tex].

Learn more about scientific notation here:

https://brainly.com/question/19625319

#SPJ6

The probability that the spinner landing on a number that is a multiple of 5 or 2 is 0.6, calculated by dividing the number of favorable outcomes (9) by total outcomes (15).

To find the probability that the spinner lands on either a multiple of 5 or a multiple of 2, we first need to identify these numbers.

The multiples of 5 between 1 and 15 are 5, 10, and 15. The multiples of 2 between 1 and 15 are 2, 4, 6, 8, 10, 12, and 14.

Note that 10 is both a multiple of 2 and 5. When we combine these sets, we have 9 unique numbers out of total 15. This gives us a total of 9 favorable outcomes.

The probability is the ratio of favorable outcomes to the total number of outcomes. So, the required probability would be 9/15 or 0.6 when simplified.

https://brainly.com/question/32117953

#SPJ12

The probability that the spinner lands on a multiple of 5 or a multiple of 2 is 9 out of 15, or 0.6 (60%).

The subject of this question is probability, which falls under Mathematics. To determine the probability that a spinner numbered from 1 to 15 would land on a multiple of 5 or a multiple of 2, we need to first identify the amount of numbers that meet these criteria. The multiples of 5 between 1 and 15 are 5, 10, and 15, which totals to 3 numbers. The multiples of 2 between 1 and 15 are 2, 4, 6, 8, 10, 12, and 14, which totals to 7 numbers.

However, the number 10 is a common multiple of both 5 and 2; to avoid counting it twice, we subtract 1 from our total. Therefore, there are 3 + 7 - 1 = 9 favorable outcomes. With 15 equally likely possibilities on the spinner, the probability is then 9/15 or 0.6, meaning there's a 60% chance the spinner lands on a multiple of 5 or a multiple of 2.

https://brainly.com/question/32117953

#SPJ12

Answer:

True

Step-by-step explanation:

The n th term rule for an arithmetic sequence is

[tex]a_{n}[/tex] = a + (n - 1)d

where a is the first term and d the common difference

here d = 9 - 7 = 2 and a = 7, thus

[tex]a_{n}[/tex] = 7 + 2(n - 1)

Answer:

Her 6 monthly payments totaled in $225, $37.5 payed per month.

Step-by-step explanation:

7.5% of $3000 is

[tex]3000 \times 0.075 = 225[/tex]

If Lori needs to pay back $225 over a period of 6 months, with monthly payments, that means Lori is paying her bank

[tex]225 \div 6 = 37.5[/tex]

$37.5 per month.

Answer:

The monthly payment of Lori per month is $37.5

Solution:

Given that Lori borrowed $3000 from bank for 6 months at fixed installment loan of 7.5 %

So the amount borrowed by Lori is given as,

= 7.5% of 3000

[tex]= \frac{7.5}{100} \times 3000[/tex]

[tex]= 7.5 \times 30[/tex]

= 225

So the total payments for 6 months is 225. Lori’s monthly payment can be found out by dividing the total payment by 6 months.

Monthly payment of Lori = [tex]\frac{225}{6}[/tex] = 37.5

So Lori has to pay $37.5 per month over a period of 6 months.

Hence the 6 monthly payment of Lori is $37.5

Answer:

K is the midpoint of AB

Step-by-step explanation:

The line AB is 10 units long. KB is 5 units long. that makes AK 5 units long.

Add them together, you get 10 units long for AB.

Answer:

K is the midpoint of AB

Step-by-step explanation:

I would because the B is much closer to the T which mess with every other answer making it unpropartional.

Answer:

2 and 3

Step-by-step explanation:

2 because integers are counting numbers (1,2,3,...) zero, and their opposites ( 1 and -1). 3 because a rational number is any number can be written is the form a/b where a and b are integers but b is not 0 ( i can explain this further) or is a decimal that either ends or has a repeated pattern

Answer:

Discount = $1,464  New Price =$16,836

Step-by-step explanation:

The initial price is given as $18,300.

The price is reduced by a discount of 8%.

Discount = 8% of 18300

                = 8/100 =0.08 x 18300 =$1,464.

New price = $18,300 -$1,464

                  = $ 16,836

This can also be worked out as follows:

After the discount of 8%, the new price is 92% of the initial price.

92% = .92 x  $18300 = $16,836

Answer:

Discount = $1,464  New Price =$16,836

Answer:

1/3

Step-by-step explanation:

2/3 plus -1/3 is the same as subtracting 1/3 from 2/3.

Answer:

1/3

Step-by-step explanation:

2/3 + (-1/3) is the same as 2/3-1/3 which is 1/3

Answer:

It takes Jupiter 11.87 years to complete a full orbit around the sun

Step-by-step explanation:

* Lets explain how to solve the problem

- It takes the earth 365 days to complete a full orbit around the sun

- It takes Jupiter approximately 4332 days 14 hours and 9 minutes to

 complete a full orbit round the Sun

- We need to know how many years it takes Jupiter to complete a

 full orbit around the sun

* Lets put the time of Jupiter by days only by change the minutes and

 the hours to days

∵ 1 day = 24 hours

∵ 1 hour = 60 minutes

∴ 9 minutes = 9 ÷ 60 = 0.15 hours

∵ There are 14 hours

∴ 14 + 0.15 = 14.15 hours

∵ 1 day = 24 hours

∴ 14.15 hours = 14.15 ÷ 24 = 283/480 days

∵ There are 4332 days

∴ 4332 + 283/480 = 4332.59 days

∴ takes Jupiter approximately 4332.59 days to complete a full

  orbit round the Sun

- To find how many years divided the number above by the number

 of days in one year

∵ There are 365 days in a year

∴ The number of years = 4332.59 ÷ 365 = 11.87 years

* It takes Jupiter 11.87 years to complete a full orbit around the sun

Answer:

3n^2 AKA C would be the answer.

Step-by-step explanation:

Reason: any number 1-9 is a mononomial number. Coefficient of three just means to add a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Answer: 2415

Step-by-step explanation:

2407 - -8

2407- -8 is the same as 2407 take away -8.

When you take away negative numbers, the answer becomes more positive

Hence 2407- -8 is the same as make 2407 more positive by 8

That means 2407- -8 is the same as 2407+8

2407+8=2415

Answer:

The correct ones are:

B. One major arc is GHE

C. Arc FE is a minor arc.

D. The measure of FE IS 41°

Answer: B,C,D

Step-by-step explanation: just did it

Answer:

13 driveways with a quarter of an hour to spare

Step-by-step explanation:

To calculate the number of driveways you and your friend can shovel, we need the rate at which you can shovel one driveway. Multiplying this rate by the total hours worked will give the number of driveways shoveled.

To determine how many driveways you and your friend can shovel in the given time, we need more specific data about how long it takes for you to shovel one driveway. However, I will provide a general formula based on an assumption:

Let's assume you can shovel X driveways in 1 hour. Therefore, in 5 hours (a day), you can shovel 5X driveways. Over 2 days, this would be 10X driveways. Hence, if you work together for 5 hours each day for 2 days, together you can shovel 10X driveways, where X is the number of driveways you can shovel per hour.

Answer:

Use fraction circles to add: 1% + 1% | Use fraction circles to model 1% and 1%. Whole and 1 Whole and 1 Whole and 1 eighth equals 3 wholes and 1 eighth. - Add the fractions and add the whole numbers separately. or: 0 Write each mixed number as an improper fraction, then add.

Step-by-step explanation:

Answer:  No

Step-by-step explanation:

Let f(x) = x² + 1

then 3*f(2) = 3[(2)² + 1]

                  = 3[4 + 1]

                  = 3[5]

                  = 15

f(3*2) = f(6) = (6)² + 1

                  = 36 + 1

                  =  37

3*f(2) ≠  f(3*2)

Final answer:

The ordered pair that must also be on the graph of y=f(x−2)−3 is (3, -1), which is the result of shifting the original point (1,2) to account for the horizontal and vertical transformations.

Explanation:

To determine the corresponding point on the graph of y=f(x−2)−3, we begin with the given point (1,2) on the graph of f(x). This point means that f(1)=2. The function y=f(x−2)−3 shifts the graph of f(x) two units to the right and three units down. Therefore, to find the x-value for the new function that will give us the y-value of 2, we add 2 to the original x-value of 1, giving us 3. Then to find the new y-value, we subtract 3 from the original y-value of 2, giving us -1. So the new point is (3, -1).

The ordered pair that must also be on the graph of y = f(x−2)−3, given that (1,2) is a point on the graph of f(x), is (-1, -1).

When you have the transformation y = f(x−2)−3, it implies two transformations are applied to the original function f(x): a shift to the right by 2 units and a downward shift by 3 units. To find the corresponding point on the transformed graph, we need to reverse these transformations.

The original point (1,2) on the graph of f(x) represents f(1) = 2. Applying the transformation x−2 shifts the x-coordinate by 2 units to the right, resulting in f(1−2) = f(-1). This gives us the x-coordinate for the transformed point on y = f(x−2)−3.

To account for the downward shift by 3 units, we subtract 3 from the y-coordinate of the original point. Hence, f(1) = 2 becomes f(1)−3 = 2−3 = -1. This provides the y-coordinate for the transformed point on y = f(x−2)−3.

Therefore, combining the x and y coordinates, the point (-1, -1) corresponds to (1,2) on the graph of f(x), satisfying the transformations of x−2 and -3 on y, hence making it a point on the graph of y = f(x−2)−3.

Answer:

The algebraic expresion is, (2/3)X^2

Step-by-step explanation:

The two thirds are 2/3

When you square a number, you do x.x, or X^2

1. -√8, -2.1, 3/2, 12/6, 4

sorry man I'm tired but here's ya first set of answers