Triangle ABC has perimeter 22 cm.
AB = 8 CM
BC = 5cm

By calculation, deduce whether triangle ABC is a right-angled triangle.

Answer:

[tex]9 {e}^{6 } [/tex]

Step-by-step explanation:

yes

Answer:

12.566 inches

Step-by-step explanation:

2πr/4

2π x8 divided by 4

Answer:

3 1/2 or 3.5 cups is equal to 1 pound

Step-by-step explanation:

1 Pound brown sugar is equivalent to ___3 1/2 or 3.5__ cups.

Hope This Helped

Answer:

3½ cups

Step-by-step explanation:

Answer:

[tex]\sf m=\dfrac{1}{3}[/tex]

Step-by-step explanation:

The slope of a line can be found using the following formula:

[tex]\sf m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Given the points (1, 5) and (4, 6):

where:

x₁ = 1, x₂ = 4

y₁ = 5, y₂ = 6

Substitute these values into the formula:

[tex]\sf \sf m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{6-5}{4-1}\\\\m=\dfrac{1}{3}[/tex]

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The equation that matches the graph of the greatest integer function is y = [x] - 2

The parent function of an step function is represented as:

y = [x]

From the given graph, we can see that the lines are shifted 2 units down.

This means that:

(x,y) = (x,y - 2)

So, we have:

y = [x] - 2

Hence, the equation that matches the graph of the greatest integer function is y = [x] - 2

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Answer:

A.  -5x = -23

Step-by-step explanation:

First you have to simplify the equation - 4(x - 5) + 8x = 9x - 3

-4x + 20 + 8x = 9x -3

9x - 4x = 20 + 3

5x = 23

=> equivalent to answer A.

The equivalent expression is,

⇒ - 5x = - 23

We have to given that,

An expression is,

- 4 (x - 5) + 8x = 9x - 3

Now, We can simplify the expression for equivalent expression,

- 4 (x - 5) + 8x = 9x - 3

Apply distributive property, we get;

- 4x + 20 + 8x = 9x - 3

4x + 20 = 9x - 3

4x - 9x = - 20 - 3

- 5x = - 23

Therefore, The equivalent expression is,

⇒ - 5x = - 23

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Answer:

The image has the ans.

Step-by-step explanation:

Image explains.

Answer:

yes . because the given number satisfy the equation a2+b2=c2

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ (30)^{2} + (40)^{2} = (50)^{2} \\ 900 + 1600 = 2500 \\ 2500 = 2500 [/tex]

Yes. because the given numbers do satisfy the equation a²+b²=c².

Answer:

C

Step-by-step explanation:

199+(14*72) = 1207

annual fee plus cost for each hour used

The solution  [tex]P(x \leq 4),p{x= 3), p(2 \leq * \leq 4)[/tex]  is mathematically given as

Generally, the equation for the Probability of P(X=3) is mathematically given as

b)

[tex]P(X=3) = P(X \leq 3)-P(X\leq 2)[/tex]

Therefore

[tex]P(X=3)= 0.65-0.48[/tex]

P(X=3)= 0.17

c)

[tex]P(2\leq X\leq 4) = P(X\leq 4)-P(X\leq 1)\\\\\\P(2\leq X\leq 4) = 0.84-0.31'[/tex]

[tex]P(2 < =X\leq 4)=0.53[/tex]

a)

[tex]P(2\leq X\leq 4)=0.84[/tex]

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Therefore, any point on the perpendicular bisector of a segment is the same distance from each endpoint. Perpendicular Bisector Theorem: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment

Answer:

1/3

Step-by-step explanation:

[tex]|\Omega|=30\\|A|=10\\\\P(A)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]

Answer:

The correct answer is x^2 + x + 1.

Step-by-step explanation:

A prime polynomial is one that cannot be factored. To solve this problem, we can use the process of elimination by eliminating all answer choices that can be factored.

x^2 - x - 2 = (x - 2)*(x + 1)

x^2 - 12x + 11 = (x - 11)*(x - 1)

x^2 + 2x - 8 = (x + 4)*(x - 2)

Since we cannot factor x^2 + x + 1, and we can factor all of the other answer choices, we know that x^2 + x + 1 is the answer.

Hope this helps!

Answer:

-A.

Step-by-step explanation:

/Correct Me If I'm Not Correct/

"Hope it's Help"

Answer:

make variables and solve with A

that's the song pota pota pota

Step-by-step explanation:

Answer:

I believe your answer is Nicholas is 53 and Martina is 21

Step-by-step explanation:

44+12=56

9 years later

53 and 21

Horizontal distance traveled is 12unit, Equation in standard form is y = -4x² + 120x - 680 and Equation in vertex form is y = -4(x - 15)² + 220

Horizontal Distance Traveled

To find the horizontal distance traveled by Red Bird, we need to calculate the difference between the largest and smallest values of the X-axis data points. In this case, the horizontal distance traveled is:

Horizontal Distance Traveled = Largest X value - Smallest X value

                = 17 - 5

                = 12 units

The horizontal distance traveled by Red Bird is 12 units.

Equation in Standard Form

To find the equation in standard form, we need to determine the equation of a quadratic function that fits the given data points. Since we have more than three data points, we can use a quadratic regression to find the equation.

Using a regression tool or mathematical software, the equation in standard form for the given data points is:

y = -4x² + 120x - 680

Equation in Vertex Form

To find the equation in vertex form, we can convert the equation from standard form to vertex form by completing the square. The vertex form of a quadratic equation is given by:

y = a(x - h)² + k

To convert the equation to vertex form, we need to rewrite it by completing the square. The steps are as follows:

y = -4x² + 120x - 680

First, factor out the common coefficient -4:

y = -4(x² - 30x + 170)

To complete the square, we need to add and subtract the square of half the coefficient of x, which is (30/2)² = 225:

y = -4(x² - 30x + 225 - 225 + 170)

Now, rewrite the equation by grouping:

y = -4((x - 15)² - 55)

y = -4(x - 15)² + 220

The equation in vertex form is:

y = -4(x - 15)² + 220

So, the equation in vertex form for the given data points is y = -4(x - 15)² + 220.

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Answer:

x=13

Step-by-step explanation:

9*2+8x-5=3x^2

9*2 = 18

18-5=13

13+8x=3x^2

3x^2 = 9x

13+8x=9x

   -8x -9x

13=x

x=13

Answer:

$44.69

Step-by-step explanation:

150 x 1.3687 = $205.305 = $205.31

250 - 205.31 = $44.69

(Hope this helps ^-^)

Answer

44.70 US dollars

Step-by-step explanation: Edg right? If thats what youre reffering too then this is correct

The answer is the green K in quadrant IV

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates.

Given here: The K in the fourth quadrant is a reflection of K in the first quadrant because it first flips the K and but there is no change in the position of the x-axis quite clearly.

Hence, The answer is the green K in quadrant IV

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The regression line will be y = 20.64 - 0.3038x.

It should be noted that regression is a statistical method that determine the relationship between the variables.

Here, the regression line will be y = 20.64 - 0.3038x. The slope coefficient is -0.03038 and the intercept is 20.460.

The slope coefficient defines that for a unit increase in the percentage of vacancy rate will reduce 0.3038 unit of monthly office rent.

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Answer:

Larger number: 21

Smaller number: 6

Step-by-step explanation:

Step 1: Make equations.

x ... larger number

y ... smaller number

First equation: The larger of two numbers is 15 more than the smaller number.

x = y + 15

Second equation: Sum of the two numbers is 27.

x + y = 27

Step 2: Solve the system of equations.

First equation: x = y + 15

Second equation: x + y = 27

Substitute x in second equation with x from first.

x + y = 27

(y + 15) + y = 27

Solve for y.

y + 15 + y = 27

2y = 27 - 15

2y = 12

y = 6

Substitute the calculated value of y back in first equation to get x.

x = y + 15

x = 6 + 15

x = 21

The amount of time that Nora practices flips is; t = 1 ¹/₄

We are told that;

Nora spends time practicing flips on the trampolines. Let this be t.

Then, she spends 1/2 of an hour eating birthday cake with her friends.

Thus, total amount of time spent on flips and eating with her friends is;

t + ¹/₂ = 1 ³/₄

t = 1 ³/₄ - ¹/₂

t = 1 ¹/₄

Complete Question is;

After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?

Solve this equation for (t) to find the amount of time Nora practices flips

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Using linear functions, it is found that the two stocks will be nearly equal in 30 months.

A linear function is modeled by:

y = mx + b

In which:

Each of the stocks can be modeled by these following functions:

They will be equal when:

S1(t) = S2(t).

Hence:

39.63 + 0.3t = 24.45 + 0.8t

0.5t = 15.18

t = 15.18/0.5

t = 30.36.

Rounding, approximately 30 months.

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Answer:

  9.80 m

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.

__

The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...

  Tan = Opposite/Adjacent

Using the given values, we have ...

  tan(24°) = AC/AB = (tree height)/(distance from tree)

  tan(24°) = AC/(22 m)

Multiplying by 22 m gives ...

  tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m

The height of the tree is about 9.80 meters.

Answer:

Answer = most college students do not use students loans.

Step-by-step explanation:

To find the percentage of students taking out student loans we take 1,000/6000 to get roughly 17%. This is a very small number of students taking out student loans.

The slope of the graph is 745 and the y-intercept of the graph is 500

The points are given as:

(2, 1990) (5, 4225) (9, 7205)

The slope is calculated using:

m = (y2 - y1)/(x2 - x1)

So, we have:

m = (4225 - 1990)/(5 - 2)

Evaluate

m = 745

This means that the amount earned per day is 745

Hence, the slope of the graph is 745

In (a), we have

m = 745

To calculate the y-intercept, we use the following points

(x1 , y1) = (0,y)

Recall that:

m = (y2 - y1)/(x2 - x1)

So, we have:

745 = (4225 - y)/(5 - 0)

Evaluate the difference

745 = (4225 - y)/(5)

Multiply both sides by 5

3725 = 4225 - y

Solve for y

y = 500

This means that the initial amount earned is 745

Hence, the y-intercept of the graph is 500

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Applying the Pythagorean theorem and the trigonometric ratios, the perimeter of triangle ABC is: 68.8 units.

The perimeter of a triangle = sum of its 3 sides.

Given the following:

Use the Pythagorean theorem to find AD considering triangle ADB as a right triangle:

AD = √(15² - 9²)

AD = 12 units

Use the trigonometric ratios to find DC and AC:

sin 30 = AD/AC

sin 30 = 12/AC

AC = 12/sin 30

AC = 24 units

tan 30 = AD/DC

tan 30 = 12/DC

DC = 12/tan 30

DC ≈ 20.8 units

BC = BD + DC = 9 + 20.8

BC = 29.8 units.

Perimeter of triangle ABC = BC + AB + AC

Perimeter of triangle ABC = 29.8 + 15 + 24

Perimeter of triangle ABC = 68.8 units.

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