Find the missing angle

It is possible to construct a triangle whose sides are 18 cm 24 cm and 30 cm because the sum of two sides are greater than three sides.

In the given question, we have to check that it is possible to construct a triangle whose sides are 18 cm 24 cm and 30 cm.

The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.

To check this we firstly add the 18 and 24

18 + 24 > 30

42 > 30

Now we add 18 and 30

18 + 30 > 24

48 > 24

Now we add 24 and 30

24 + 30 > 18

54 > 18

It is possible to construct a triangle whose sides are 18 cm 24 cm and 30 cm because the sum of two sides are greater than three sides.

To learn more about construct a triangle link is here

brainly.com/question/29156739

#SPJ4

Answer: the answer is 5

Step-by-step explanation:

good luck

Answer:

2 a^2

Step-by-step explanation:

cube root of 8 = 2    cube root a^6 = a^2

Calculations

\(\sqrt[3]{8a^6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \bf{We \ factorize}\)

\(\bf{8=2^{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ a^{6}=(a^{2})^{3},now }\)

\(\sqrt[3]{8a^6}\)

\(\sqrt[3]{8a^6}=\)

\(\sqrt[3]{2^{3}*(a^2)^3 }=\)

\(\sqrt[3]{2^3 }*\sqrt[3]{(a^2)^3 } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \bf{We \ simplify }\)

\(\sqrt[3]{8a^6}=\bf{2a^2 }\)

\(\red{\boxed{\green{\boxed{\bf{\purple{Pisces04}}}}}}\)

Given:

The quadratic equation is

\(y=6x^2-15x+6\)

To find:

The x-intercepts of the given equation.

Solution:

We have,

\(y=6x^2-15x+6\)

Splitting the middle term, we get

\(y=6x^2-12x-3x+6\)

\(y=6x(x-2)-3(x-2)\)

\(y=(x-2)(6x-3)\)

For x-intercepts, y=0.

\((x-2)(6x-3)=0\)

Using zero product property, we get

\(x-2=0\text{ and }6x-3=0\)

\(x=2\text{ and }6x=3\)

\(x=2\text{ and }x=\dfrac{3}{6}\)

\(x=2\text{ and }x=0.5\)

So, the x-intercepts are (0.5,0) and (2,0).

Therefore, the correct option is a.

Answer:

r=-7

Step-by-step explanation:

Let (x1,y1) be (1,r)and (x2,y2) be (5,1)

Slope m=2

\(slope = \frac{rise}{run} = \frac{y2 - y1}{ x2 - x1 } \\ = \frac{1 - r}{5 - 1} = 2 \\ 1 - r = 8 \\ r = - 7\)

The (⍺3β3) oligomer of ATP synthase can have 3 different functional conformations.

The (⍺3β3) oligomer of ATP synthase, which consists of three α-subunits and three β-subunits, can exhibit three different functional conformations. These conformations are known as "open," "loose," and "tight" states. The binding change mechanism describes the sequential transition of the catalytic sites within ATP synthase as they alternate between these conformations, facilitating the synthesis of ATP.

Learn more about oligomer

brainly.com/question/31035311

#SPJ11

The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

for similar questions on sandbox.

https://brainly.com/question/31290675

#SPJ8

The height of the apple tree in Susan's yard is 9 feet.

To find the height of the apple tree in Susan's yard, we can use similar triangles.
Step 1: Identify the two similar triangles.
Triangle 1 is formed by Susan's eye height (4.5 feet), the ground, and her distance from the tree (15 feet). Triangle 2 is formed by the tree's height, the ground, and the same 15 feet distance.
Step 2: Set up the proportion.
Let 'h' be the height of the tree. The proportion can be written as:
(height of eye) / (distance from tree) = (tree height) / (distance from tree)
4.5 / 15 = h / 15
Step 3: Solve for 'h'.
Cross-multiply the proportion to solve for 'h':
4.5 × 15 = h × 15
67.5 = h × 15
Divide both sides by 15:
h = 67.5 / 15
h = 4.5
Step 4: Add Susan's eye height to find the total height of the tree.
Total tree height = height of eye + height of tree above eye level
Total tree height = 4.5 + 4.5
Total tree height = 9 feet
for such more question on height

https://brainly.com/question/28122539

#SPJ11

Answer:

D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

Step-by-step explanation:

i took the test and got it right

Answer:

12

Step-by-step explanation:

Answer:

THE RATIO OF THE TANGENTS OF ANGLE M ARE:

IJ/MJ

KL/ML

MARK ME THE BRAINLIEST!

Answer:

second box:0.01

third box:0.032

fifth box: 0.3

fourth box: 0.333

first box:1

Step-by-step explanation:

Answer:

Its True

Step-by-step explanation:

The signs of stress include feeling of emotional or physical tension, headache, dry mouth, heartburn, constipation, depression, and insomnia. However, stress isn't necessarily a bad thing.

Answer:

True

Step-by-step explanation:

It is

Answer:

1) A = 48 sq units  2) 42 sq units

Step-by-step explanation:

The formula to find the area of a trapezoid of a trapezoid is A = 1/2(b1+b2)h.

So for number 1, it is stated that the height of each unit is 2. Now let's substitute the variables in the formula with the actual bases and heights. I got A = 1/2(8+4)8, A=6*8, A=48 sq units.

For number 2, each unit also has a height of 2. Let's substitute the variables in the formula again. And we get A = 1/2(10+4)6, A = 7*6, A = 42 sq units.

This is how you find the areas of the trapezoids!

When you multiply 4 with any number, you can use the doubling-up trick (that's the one you used for the two times table) twice. Here is an example: 2 x 4 is the same as 2 + 2 = 4 and then 4 + 4 = 8. So, 2 x 4 = 8.

Here is next double, double example are: 5 x 4 is the same as 5 + 5 = 10, so then 10 + 10 = 20. So, the answer is 5 x 4 = 20.

Here, is the table of four.

4×1=4

4×2=8

4×3=12

4×4=16

4×5=20

4×6=24

4×7=28

4×8=32

4×9=36

4×10=40

To know more about Multiplication:

https://brainly.com/question/5992872

#SPJ4

The upper bound for the 98% confidence interval for the difference in true averages number of flowers visited a day between anna's and allen's hummingbirds is 28.77.

To find the upper bound for the 98% confidence interval for the difference in true average numbers of flowers visited a day between Anna's and Allen's hummingbirds, we need to use the following formula:

Upper bound = (x1 - x2) + zα/2 * √(s1^2/n1 + s2^2/n2)

where x1 and x2 are the sample means, s1^2 and s2^2 are the sample variances, n1 and n2 are the sample sizes, and zα/2 is the critical value from the standard normal distribution for a 98% confidence interval (which is 2.33).

Plugging in the given values, we get:

Upper bound = (220 - 196) + 2.33 * √(47.2/30 + 40.6/30)

Upper bound = 24 + 2.33 * √(2.84 + 1.35)

Upper bound = 24 + 2.33 * √4.19

Upper bound = 24 + 2.33 * 2.046

Upper bound = 28.77

Therefore, the upper bound for the 98% confidence interval for the difference in true average numbers of flowers visited a day between Anna's and Allen's hummingbirds is 28.77 (rounded to 2 decimal places).

Learn more about Upper bound:

https://brainly.com/question/28725724

#SPJ11

Answer:

You need 3-4 tests with at least 10pts with a 90-100%

Step-by-step explanation:

I have an A

Answer:

it depends on how much your quizzes and tests are worth but it looks very close to an A so I'd say maybe 1 quiz

Answer:

Answer:

6.39 pounds, 102.29 ounces.

Step-by-step explanation:

The weight of baby in pounds and ounces are:  6.39 pounds , 102.29 ounces.

We have the following information available from the question is:

A newborn baby weighs 2900 grams.

We have to calculate the weight of baby in pounds and ounces.

Now, According to the question:

The weight of baby is = 2900 gm

We know that :

1gm = 0.00220462 pounds

so, 2900 × 0.00220462 = 6.39 pounds

Now, 1gm = 0.035274

So, 2900 × 0.035274

=> 102.29 ounces.

Learn more about OUNCES at:

https://brainly.com/question/26950819

#SPJ3

Answer:

(in the image)

Step-by-step explanation:

for the slope one - both triangle a and b have a slope of 5/3 (b's goes from 15/9 to 5/3 because of simplifying)

for the second one - 5/3=15/9 because the sides of both triangles correspond

My Answer to that:

5 - 3= 15 - 9 (Statement)- 5/3 = slope (Reason)

Definition of slope (Statement) - triangle A is similar to triangle B (Reason)

- sorry if wrong but that is the answer I would put

The situation that probably does not have a lurking variable operating in some way is, option D: Neighborhoods with more station wagons tend to have more playgrounds. So, the correct option is, option D.

This is because it is unlikely that there is a hidden variable that is causing both the presence of station wagons and the presence of playgrounds. It is possible that neighborhoods with more families and children tend to have both more station wagons and more playgrounds, but this is not a hidden variable as it is already known and understood.

In contrast, the other options all involve relationships between variables that could be explained by a hidden variable.

For example, in option A, it is possible that the lurking variable is the weather, which affects both the sales of cold medication and the sales of ice cream.

Similarly, in option E, the lurking variable could be the overall economic health of the town, which affects both the number of teachers and the sales of floor wax and cat litter.

Know more about lurking variable here:

https://brainly.com/question/13285819

#SPJ11

The direction angle of the vector v = 2i -6j is approximately 288.43 degrees.

What is a vector ?

In mathematics, a vector is a mathematical object that has both magnitude (length) and direction. Vectors are commonly used to represent physical quantities such as displacement, velocity, and force in physics and engineering, but they are also used in many other fields such as computer graphics, machine learning, and economics.

The direction angle of a vector is the angle it makes with the positive x-axis in the counterclockwise direction.

To find the direction angle, we first need to calculate the angle that the vector makes with the positive x-axis.

Using trigonometry, we can see that:

tan θ = (opposite side) / (adjacent side)

     = (-6) / 2

     = -3

Taking the inverse tangent of both sides, we get:

θ = tan⁻¹(-3)

Using a calculator, we find that:

θ ≈ -71.57°

However, since we are looking for the direction angle in the counterclockwise direction, we need to add 360 degrees to get the final answer:

θ = -71.57° + 360°

Thus, the direction angle of the vector v is approximately:

θ ≈ 288.43°

Therefore, the direction angle of the vector v = 2i -6j is approximately 288.43 degrees.

To learn more about Vector from given link.

https://brainly.com/question/29740341

#SPJ1

Answer:

5*10^-7

Step-by-step explanation:

Liam volunteered for approximately 0.32 hours (or 19 minutes) during the first month.

Let's start by using algebra to solve the problem.

First, we'll use x to represent the number of hours Liam volunteered during the first month. Then, since he volunteered 123 times as many hours the second month as he did the first month, he volunteered 123x hours during the second month.

According to the problem, Liam volunteered a total of 40 hours over the two months. We can set up an equation to represent this:

x + 123x = 40

Simplifying this equation:

124x = 40

Dividing both sides by 124:

x = 0.3225806451612903

So Liam volunteered for approximately 0.32 hours (or 19 minutes) during the first month.

Learn more about volunteered here

https://brainly.com/question/26230314

#SPJ11

Examples of substantive procedures, which are used in auditing, include observation, inquiry, confirmation, and more.

Substantive procedures are specific audit procedures performed to gather evidence and assess the reasonableness of financial statement assertions. These procedures aim to obtain substantive evidence about the accuracy, completeness, and validity of the financial information.

Examples of substantive procedures include observation, where auditors directly witness a process or activity, such as counting physical inventory. Inquiry involves seeking information from management or other personnel regarding financial transactions or events. Confirmation refers to the direct communication with third parties, such as banks or customers, to verify the accuracy of reported balances or transactions.

Other examples of substantive procedures include analytical procedures, inspection of records and documents, and reperformance of calculations or controls. Therefore, all answer choices (A. observation, B. inquiry, C. All of these answer choices are correct, and D. confirmation) are valid examples of substantive procedures in auditing.

Learn more about auditing here:

https://brainly.com/question/14652228

#SPJ11

Answer:

t-7

Step-by-step explanation:

$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x