In the triangle below, with right angle , suppose that and .

Find the degree measure of each angle in the triangle.

The p value is calculated as 0.116

Null u = 70

alternate u ≠ 70

The alternate is a two tailed test

the test statistic calculation

t = x - u / s/√n

x = 85 + 77 + 82 + 68 + 72 + 69 / 6

= 75.5

standard deviation s = \(\sqrt{\frac{(85- 75.5)^2+(77- 75.5)^2+...(69- 75.5)^2}{6-1} }\)

= 7.01

Test stat = (75.5 - 70) / 7.01/√6

= 1.92

degree of freedom = 6 - 1 = 5

this is 2 tailed

p value using excel = tdist( 1.8, 5 , 2)

= 0.116

We fail to reject the null hypothesis because it is greater than the level of significance

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To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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This is a quadratic function's graph. This is easily graphed using transformations if we write it in vertex form.

Y=x-2 is the first equation.

This line has a slope of 1 and a y-intercept of -2, making it simple to graph.

The second formula reads: y = x^2-6x+8.

To obtain the function in the vertex form, we finish the square as follows:

Y = x^2 -6x+9+8-9

Y = (x-3)^3 -1

The minimum point (vertex) of this quadratic graph is located at (3,-1).

We equalize the two functions and solve for x to locate the intersection of the two graphs.

X^2-6x+8 = x-2

We rewrite in formal language.

X^2-7x+10=0

Factor to consider (x-2)

(x-5) = 0

The answers are x=2 and x=5.

If x=2, then y=2-2=0.

As a result, the point of intersection is (2, 0).

If x=5, then y=5-2=3.

As a result, we now have another intersection at (5,3).

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Answer:

8.55 miles in all

Step-by-step explanation:

hope this helps

Answer:

Kara has 67 in total

Tyrone has 82 in total

and together they have 149

im not to sure what your asking but heres what i got...

Answer: B

Step-by-step explanation:

20 divided by 5 =4 and 5x4=20

f(x) = 2| x + 3| - 8

EXPLANATION

The graph is said to be vertically stretched, this implies that it is being multiplied by a positive constant that is greater than 1, if it is multiplied multiplied by a function between 0 and 1, then that is compression. But since it is a vertical stretched, the value(constant) must be greater than 1.

It was shifted 3 units left, this implies we will add 3, 8 units down implies we will subtract 8 units.

Hence, the function is represented as:

f(x) = 2| x + 3| - 8

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Therefore , the solution of the given problem of triangle comes out to be the triangle can have side lengths AB = 7, AC = 7, and BC = 2√2,

AC = 4.

A polygon is a hexagon if it has two maybe more additional components. It is shaped like a simple rectangle. A and B are the only two clearly defined edges of a form that can set it apart from a regular triangle. While the limits remain perfectly collinear, Euclidean geometry produces one section rather than a full cube. Three sides plus three angles make up a triangle.

Here,

With the aid of this knowledge, we can determine if each set of side lengths conforms to the Pythagorean theorem:

This pair of side lengths, AB = 7 and AC = 7, is conceivable because the triangle is an isosceles right triangle with 7-length legs.

BC = 2√2, AC = 4: This set of side lengths is feasible because

=> BC²+ AC² = (2√2)² + 4² = 8 + 16 = 24, and

=> AB = BC√2 = 2√2√2 = 4√2.

=> AB = 4, AC = 4√2:  

This set of side lengths is feasible because

=> AB²+ AC² = 4² + (4√2)²= 16 + 32 = 48, and

=>  BC = AB/√2 = 4/√2√2 = 2√2.

If AB = 6 and BC = 6, then this pair of side lengths cannot exist.

If BC = 4 and AC = 43, then this pair of side lengths cannot exist.

This set of side lengths has AB = 4, BC = 3 is not conceivable

As a result, the triangle can have side lengths AB = 7, AC = 7, and BC = 2√2, AC = 4.

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The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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Answer:

Step-by-step explanation:

Area of a triangle is 1/2 * b * h

b = base, the one labeled b on the diagram

h = height, the dotted line in the middle

so, you do pythagorean theorem with a and b to find the dotted line

a² + b² = h² (h is for height)

h = \(\sqrt{a^{2} +b^{2}}\)

Then, you just plug in the numbers from question 3 to find h and then you do

1/2 * b * h

The correct option is y = 2x + 8

Answer:

The answer is 35

Can I have brainliest

Answer:

the answer is 45.

Variables expression is done as given below.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Variables are the values for a specific item.

Example:

Apple cost = $4 per kg

Banana cost = $6 per kg

Total cost = $60

To find the number of kg for each item we have to consider x as the number of kg of apple and y as the number of kg of banana.

Here,

x and y are the variables.

Now,

The expression with the variables x and y.

4x + 6y = 60

Thus,

The expression with variables is given above.

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Answer:

x=6.8

Step-by-step explanation:

x^2+21^2=25^2

x=√46=6.8

can i have brainliest

Answer:

b d f  i think sorry if this doesnt help but have a great day :)

Step-by-step explanation:

The 10 minutes duration used for stretching and the fraction of 2/3 of the practice time used for scrimmaging, indicates;

The duration of the practice on Wednesday = 2.25 hours

A fraction is a part of a specified quantity, represented as quotient or a smaller number (the numerator), placed on another number (the denominator) separated by a line.

The time duration of the stretching during the daily practice = 10 minutes

The fraction of the entire practice time used for scrimmaging during the practice = 2/3 of the entire practice

Duration of working on drills of specific skills = The remaining time of the practice

The time the coach planned for stretching and scrimmaging on Wednesday = 100 minutes

Therefore;

The time for scrimmaging = 100 minutes - 10 minutes for stretching = 90 minutes
Therefore;

(2/3) of the time for the entire practice = 90 minutes

The time for the entire practice = (3/2) × 90 minutes = 135 munites

The duration of the entire practice = 135 minutes

135 minutes = 2.25 hours

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Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

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Answer:

594.60

Step-by-step explanation:

basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3

Answer:

The first two are functions, the last one is not

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

An equation is written as :

Taking the first row data (x = 2, y = 1),

Answer:

Option A, 0.5

Step-by-step explanation:

Step 1:  Determine the slope/proportionality

\(Slope = \frac{y_2 - y_1}{x_2 - x_1}\)

\(Slope = \frac{1.5-1}{3-2}\)

\(Slope = \frac{0.5}{1}\)

\(Slope =0.5\)

Answer:  Option A, 0.5

The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)

From the question, we have the following function that can be used in our computation:

y = –2 cos (x + π/2) + 1.

Calculating the maximum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the maximum points to be (π/2, 3)

Calculating the minimum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the minimum points to be

(3π/2, -1) (-π/2, -1)

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Answer:

95% of confidence intervals are

(31.5215 , 53.4785)

Step-by-step explanation:

Explanation:-

Given sample size 'n' =24

Mean of the sample  x⁻ = 42.5

Standard deviation of the sample 'S' = 26

95% of confidence intervals are determined by

\((x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })\)

Degrees of freedom

                ν =n-1 = 24-1 =23

\(t_{0.05} = 2.0686\)

95% of confidence intervals are

\((42.5 - 2.0686 \frac{26}{\sqrt{24} } , 42.5+ 2.0686 \frac{26}{\sqrt{24} })\)

( 42.5 -10.9785 ,42.5 +10.9785)

(31.5215 , 53.4785)

Answer:

a

Step-by-step explanation:

edge

Answer:

Length: 9

Width: 3

Perimeter: 24

Step-by-step explanation:

First you can set up a few equations. You know that L x W is your area, or 27.

L * W = 27

Then you also know that your length is equal to three times the width.

L = 3W

So you can substitute L into the first equation to solve for W.

3W * W = 27

3W^2 = 27

W^2 = 9

W = 3

Then you can plug 3 into either equation to solve for your length.

L = 3(3)

L = 9

Then your perimeter is just 2L + 2W

2(9) + 2(3) = 24

Answer:

Step-by-step explanation:

Let the dimensions of the rectangle be length = L and width = W. Then P = perimeter = 2L + 2W.  A = area of rectangle = L * W.  Finally, L = 3W.

Here A = 27 units^2 = W*(3W) = (3*W^2), or 3W^2 = 27 units^2, or

W^2 = 9 units^2, or W = 3 units.  Then L = 3W = 3(3 units) = 9 units.

The length of the rectangle is 9 units.  See above.

The perimeter of the rectangle is 2(9 units) + 2(3 units) = 24 units.

Answer:

x=8

Step-by-step explanation:

you know that the total of all the angles should add up to 360 so if you add up all of the known numbers you get 264 and then subtract from 360 you get 96. So the angle measure is 96; 12x=96. Then you divide both sides by 12 to get x alone and you get x=8

Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.

To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.

Derrick planted 20% of the 150 strawberry plants:

20% of 150 = (20/100) * 150 = 30 strawberry plants.

Janis planted 60% of the 150 strawberry plants:

60% of 150 = (60/100) * 150 = 90 strawberry plants.

Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.

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