the question is on the sheet.​

Answer:

x = √145

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Leg a = 12

Leg b = x

Hypotenuse c = 17

Step 2: Solve for x

Answer:

A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter.

Step-by-step explanation:

Answer:

4.35/5= 0.87 liters

you divide the total by how many to find out what the unit rate is for each sample

Step-by-step explanation:

Answer:

M=54.62

O=59.69

N=65.68

Step-by-step explanation:

M is the smallest, and N is the largest:)

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Result, Rachel can be certain that the temperature is suitable for her cake.

Rachel cannot be certain that the temperature displayed on the oven is suitable for cooking her cake.

The manufacturer's claim of a 5% error on the displayed temperature means that the actual oven temperature can be off by 5% in either direction. To calculate the range of possible actual temperatures, we need to find 5% of 310°C. 5% of 310 = (5/100) * 310 = 15.5°C This means that the oven temperature could be 15.5°C higher or 15.5°C lower than the displayed temperature.

To find the maximum possible temperature, we add the error to the displayed temperature: 310°C + 15.5°C = 325.5°C Since the maximum possible temperature is slightly above 325°C, Rachel cannot be certain that the temperature is suitable for cooking her cake, as it needs to be cooked at a temperature below 325°C. It's important for Rachel to consider using an alternative thermometer or verifying the actual temperature with the oven manufacturer to ensure the cake is cooked at the desired temperature.

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Answer:

27.72

Step-by-step explanation:

Answer:

12 pounds of oranges would cost $27.72

PLEASE CHECK, THANK YOU

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Answer:

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where

∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6

→ Compare it with the formula above

∴ a = -1 ⇒ 1st term

∴ d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a[tex]_{n}[/tex]  = -1 + (n - 1)(-6)

∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)

∴ a[tex]_{n}[/tex]  = -1 + -6n - (-6)

∴ a[tex]_{n}[/tex] = -1 - 6n + 6

→ Add the like term

∴ a[tex]_{n}[/tex] = 5 - 6n

∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Answer:

10

Step-by-step explanation:

The measure of an angle∠I  is 10 degrees between the 450 cm and 640 cm sides.

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

In the given triangle ΔHIJ,

Sides:

h = 450 m

i = 210 m

j = 640 m

The angle of ∠I  is 10 degrees between the 450 cm and 640 cm sides.

According to the cosine rule,

j² = h² + i² − 2ab cos(I)

Substitute the values in the Cosine Rule,

450² = 210² + 640² - 2(210)(640)cos(I)

After solving we get the value of  angle ∠I :

∠I = 9.56038°

Rounded to the nearest degree.

∠I = 10°

Thus, the measure of an angle∠I  is 10 degrees.

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Answer:

24

Step-by-step explanation:

Answer:

Angie is thinking of the number 24.

Explanation:

24 can be divided into 8 three times & can be divided by 12 only two times.

Answer:

G 42/6

H 2+5

K 7+0

L 7^1

Step-by-step explanation:

Answer:

x ≤ ∞

Step-by-step explanation:

Let x represent the height of the space probe above sea level in meters.

Initially, before launch, the space probe is launched from a platform that is just above 100 meters below sea level, hence:

x < -100 (the negative sign shows that it is below sea level).

After launch, The probe is expected to travel into deep space indefinitely. Therefore the height of the probe after it is launched is represented by the inequality:

x ≤ ∞

Answer: y = -1/3x - 1

Step-by-step explanation:

Slope-intercept = y = Mx + b

M = slope

B= y

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

C=45h+30

C=45(6.5)+30

Im using a decimal because it should be clear 1/2=0.5

C= 292.5+30

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

C=$322.50

Answer:

18ft

Step-by-step explanation:

2+3+7 = 12 (this means that 108ft is [tex]\frac{12}{12}[/tex])

The shortest side would be [tex]\frac{2}{12}, or \frac{1}{6}[/tex] of 108ft

To find this, we divide 108 by the denominator (6) to get 18ft

We would usually multiply this by the numerator when finding a fraction of an amount, but as the numerator is 1, the answer would stay as 18ft.

Answer: 8.66666666667

Step-by-step explanation:

Answer:

26/3 in the simplest fraction.

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Answer:

33.333333333333%

Step-by-step explanation:

Answer:

Red

Step-by-step explanation:

Y intercept is 1

Slope is -2 (line is going down so the slope is negative)

Answer:

the yellow box

Step-by-step explanation:

Answer:

The number is irrational because it can’t be written as a fraction

Step-by-step explanation:

Here, we want to state why the given number is irrational

Mathematically, an irrational number is one that cannot be expressed as the ratio of two integers

Thus, the reason why the number is irrational is because it can’t be written as a fraction

Answer:10 presents fell off

Step-by-step explanation: to find 2/6 we can start with finding 1/6 because it’s easier. To do that we divide 30 by 6 which equals 5. because 5 is 1/6 5x2 is 2/6 so the answer is 10

Answer:

you put 30 over 1 than you then you 2 over 6 then subtract then

Step-by-step explanation:

so it would look like this

30/1 - 2/6=

Answer:

3.5

Step-by-step explanation:

If you get more like this just divide the big triangle to the small one. on the same lengths. Example: on this one do 14/4 = 3.5, 10.5/3 = 3.5, 21/6 = 3.5

Hope this helps! :)

Answer:

It's ( - 4, 5 )

Answer:

The new figure is not congruent with the old figure. They are similar

Step-by-step explanation:

Transformations

We are given the vertices of rectangle ABCD and the vertices of rectangle A'B'C'D'.

It can be clearly noted all the coordinates of the second rectangle are half the value of the coordinates of the first rectangle.

This type of transformation corresponds to a dilation across the origin with a scale factor of 1/2.

Since the transformed rectangle is smaller than the first one, it cannot be congruent with it.

But since all the dimensions of this smaller rectangle are proportional to those of the bigger rectangle, they are similar.

Answer: -1/10

Step-by-step explanation:

Y2- Y1 over X2 - X1

-4 - - 3 over 5 - - 5

-4 + 3 over 5 + 5

-1 over 10

Answer: A, arithmetic

Step-by-step explanation:

An arithmetic sequence has a constant difference between each term. If she spend 36 dollars each week, the first week would be 36 the second week would be 72, and so on.

The answer is A, square root of 29

Answer:

20 percentile

Step-by-step explanation:

im sorry for your loss with your bad score.