Use special right triangles to find the value of the variables no decimal answers. 30 60 90

By using Euclidean geometry, the set of side lengths  2.5 cm, 1.8 cm, 4 cm can form a triangle.

The sum of the lengths of any two sides must be greater than the length of the third side.

a + b ≥ c

A triangle is a three-sided polygon with three straight sides. It is a basic geometric shape that is found in many areas of mathematics and geometry.

Using this rule, we can determine which of the given sets of side lengths can form a triangle:

(a) 3 cm, 4 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (3 cm + 4 cm = 7 cm) is equal to the length of the third side.

(b) 2 cm, 3 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2 cm + 3 cm = 5 cm) is less than the length of the third side.

(c) 2.5 cm, 1.8 cm, 4 cm: It is possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2.5 cm + 1.8 cm = 4.3 cm) is greater than the length of the third side.

To learn more about triangle visit:

https://brainly.com/question/2773823

#SPJ4

Answer:

what we have to find or to prove.

Answer:

\(z = -0.8\)

Step-by-step explanation:

Given

\(n = 32\) --- samples

\(\mu = 18g\) --- mean

\(\sigma =5g\) --- standard deviation

\(x = 14g\) --- observed value

Required

Find the standardized score

This is calculated as:

\(z = \frac{x - \mu}{\sigma}\)

So:

\(z = \frac{14g -18g}{5g}\)

\(z = \frac{-4g}{5g}\)

\(z = \frac{-4}{5}\)

\(z = -0.8\)

The standardized score is -0.8

Answer:

The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.

Step-by-step explanation:

A newsletter publisher believes that 60`% of their readers own a Rolls Royce.

This means that the null hypothesis is: \(H_{0}: p = 0.6\)

That is, that the proportion of their readers who own a Rolls Royce is of 0.6.

A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim.

The alternate hypothesis is: \(H_{a}: p \neq 0.6\)

After performing a test at the 0.020.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim?

The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.

The expression of 5.39 × 10⁷ metric tons in standard notation is; 53,900,000 metric tonnes

We are given the quantity of wheat produced each year as 5.39 × 10⁷ metric tons.

Now, that quantity is in exponent form and the way to express it in standard notation is to expand the exponent which gives;

5.39 × 10⁷ = 5.39 * 10 * 10 * 10 * 10 * 10 * 10 * 10

⇒ 5.39 * 10000000

⇒ 53,900,000 metric tonnes

The complete question is;

The U.S. produces 5.39 × 10⁷ metric tons of wheat each year. Express that number in standard notation

Read more about Standard notation at; https://brainly.com/question/5756316

#SPJ1

The expression "La luna pesca en el charco". which is equivalent to "The moon fishes in the puddle" and is used to express that an event is not likely to happen.

To begin, this expression is not a literal but a figurative expression. Now, the equivalent of this expression in English is "The moon fishes in the puddle". As this is a figurative expression we know that it is impossible for the moon to fish.

Instead, this expression means that something is impossible or not very likely to happen. For example, winning the lottery if you do not buy the lottery.

Note: Here is the question in English:

What is the meaning of the moon fishes in the puddle?

Learn more about figurative language in https://brainly.com/question/17418053

#SPJ1

Answer:

Step-by-step explanation:

When event A and event B are independent, then probability for P (C n D) is 0.48.

Probability simply means the likelihood that a particular event will take place or occur.

In this case, event C and event D, with the following probabilities: P (C) =80 P (D) = 0.60;

Therefore, the probability for P(C n D) will be:

= P(C) × P(D)

= 0.8 × 0.6

= 0.48

The probability is 0.48.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Answer:

hhhh

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Vertex form of a parabola is expressed as: \(y=a(x-h)^2+k\)

It's also important to note that the axis of symmetry is a vertical line which passes through vertex, so in this form, that axis of symmetry can be defined as such: \(x=h\)

So if we're given the axis of symmetry we know the x-coordinate of the vertex.

Since we're given the axis of symmetry to be: \(x=6\) then that means the x-coordinate of the axis of symmetry is six. Another important thing to note about the vertex is it's y-value is either a minimum or maximum depending on whether it's opening up or down. So when we're given the maximum height to be 6, that's the y-coordinate of the vertex.

So now we know the coordinates to the vertex: \((6, 6)\). Using this we can plug in some values into the vertex form: \(y=a(x-6)^2+6\), but we still don't know the "a" value in front (besides that it's negative). Luckily we're given a point on the equation! We can plug in the coordinates given: \((7, 5)\) into the vertex form as (x, y) to solve for the "a" value, so let's do that.

Original Equation:

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

Passes through the point (7, 5), so substitute it for (x, y)

\(5=a(7-6)^2+6\)

Simplify inside parenthesis:

\(5=a(1)^2+6\)

Square the one:

\(5=a+6\)

Subtract 6 from both sides:

\(-1=a\)

So now let's plug this back into our equation: \(y=-1(x-6)^2+6\), although we don't have to explicitly put the one, and just put the negative sign which does the same thing: \(y=-(x-6)^2+6\)

Answer: 81.64 feet

Step-by-step explanation:

Circumference of a circle = pi * diameter

Circumference of a circle = 3.14 * 26 feet

Circumference of a circle = 81.64 feet

The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

3x +3

Step-by-step explanation:

3x + 1 + 2units(on the x axis)= 3x +3

The width of the dog run is 20 feet.

In the given problem, the length of the dog run is given as 30 feet.

The area of the dog run is also given as 240 square feet.

Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).

Rearranging the formula, we have w = A / l.

Plugging in the values, we get w = 240 / 30 = 8 feet.

Since the width is given as (30 minus x) feet, we can set up an equation:

30 - x = 8. Solving for x, we find x = 22.

Therefore, the width of the dog run is 20 feet (30 - 22 = 8).

In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.

The area of the dog run is given as 240 square feet.

By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.

Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.

This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).

for such more questions on width

https://brainly.com/question/28107004

#SPJ8

Answer:

The answer to this is m equals 16.

Answer:

m= 2

Step-by-step explanation:

1+2m^-1/2=3/2

So, subtract 1

2m^-1/2 = 1/2

Divide by 2.

m^-1/2 = 1/4

m=2.

Hope this helps you!

# Team Rainbows!

Answer:

z= -55 / 5-y

the line is a divided by sign you put 55 on top and the 5-y on bottom

Complete Question

The data represent the membership of a group of politicians. If we randomly select one politician, what is the probability of getting a Republican given that a male was selected?    

        Republican      Democrat           Independent

Male           11                  6                                   0

Female       70                  17                                  7

The probability is approximately_____?

Answer:

The  probability is  \(P(k) = 0.647\)

Step-by-step explanation:  

From the question we are told that

   The  sample size of male is  \(n_m = 11 + 6 =17\)

     The  number of male Republican is  \(k = 11\)  

Generally the probability of getting a Republican given that a male was selected is

            \(P(k) = \frac{k}{n_m}\)

substituting values

          \(P(k) = \frac{ 11}{17}\)

          \(P(k) = 0.647\)

Answer:

A' (7,7)

B' (10,4)

C' (6,5)

Step-by-step explanation:

Add 9 to every x value and 3 to every y value.

Answer:

A'(7,7)

B'(10,4)

C'(6,5)

Step-by-step explanation:

⭐What is a translation?

⭐What is the translation notation?

The problem tells us to translate ΔABC 9 units to the right, and 3 units up because it is inside the <>, and the numbers are positive.

To translate the vertices of ΔABC, we have to add the respective x and y coordinates of the translation rule to each vertecie of ΔABC.

A(-2,4):

B(1,1):

C(-3,2):

⭐if this response helped you, please mark it the "brainliest"!⭐

Answer:

16 and one half pounds

9 x 3 = 27

5 x 3 = 15

1/2 x 3 = 1 1/2

15 + 1 1/2 = 16 1/2

Answer:

1. $950

2. 80

Step-by-step explanation:

Answer:

-8x² - 6

Step-by-step explanation:

-1 + 2 will give us "+1"

+1 - 7 will give us "-6"

The answers given already are correct as they are properly matched, so we are left with the following to complete:

Thus,

-4y³ + 4y³ will give us "0".

We would be left with:

-3x² - 6 - 5x²

Collect like terms again

-3x² - 5x² - 6

-3x² - 5x² will give us "-8x²"

Final result would be:

-8x² - 6

Answer:  6) 35 meters        7) Ф = 10°

Step-by-step explanation:

\(6.\quad \tan\ 68^o=\dfrac{x}{14.3}\\\\\\.\quad 14.3 \tan\ 68^o=x\\\\.\quad 35\ meters =x\)

\(7.\quad \sin \theta =\dfrac{0.7}{4.2}\\\\\\.\qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{1}{6}\bigg)\\\\\\,\qquad \quad \theta =10^o\)

Question 6:

tan 68 = x/14.3

14.3tan(68) = x

35m = x

Question 7:

sinθ = 0.7/4.2

θ = sin^-1(1/6)

θ = 10

Best of Luck!

The difference between the regression equation is Equation 2 is the estimated value of the model in equation 1, to be exact.

Regression analysis evaluates the association between the factors and variable and determines how changes in the independent variable impact the dependent variable. Equation Y is equal to aX plus b, where Y is the dependent variable, an is the slope of the regression equation, x is the independent factor, and b is a constant, is used to represent it.

Regression analysis is one of the most used statistical techniques for determining the relationships between a number of independent and dependent variables.

The two equations are:

y=b0+Bx .........(1)

y=b0+b1x............(2)

The parameter and estimate in the two equations are different.

Equation 1 contains the model that is presumptively present in the data collection. As a result, the parameters or actual values of the regression coefficient make up this model.

Now that these regression coefficients have been determined using the sample data, equation 2 is used to represent the result.

Equation 2 is the estimated value of the model in equation 1, to be exact.

Learn more about regression equation here:

https://brainly.com/question/17079948

#SPJ1

\(\displaystyle f(x) = (x + 2)(x + 2)\)

\(\displaystyle f(x) = (x + 2)^2\)

Answer:

\(f(x) = {(x + 2)}^{2} \)

Step-by-step explanation:

\(f(x) = (x + 2)(x + 2) \\ f(x) = {(x + 2)}^{2} \)

hope this helps you.