The perimeter of the triangle is 29 cm.
a. Write an equation and solve for x.
b. Use the value of x to find the lengths of the sides of the triangle.
c. What kind of triangle is this: scalene, isosceles, or equilateral? Explain how you know using the calculated side lengths, not the picture
2x+2
3x - 1
x + 4

Answer:

4 1/7

Step-by-step explanation:

16 4/7 ÷ 4 = 4 1/7

Hope this helps!

Answer:

y= -1/3x - 6

Explain:

For the slope, you find the opposite reciprocal of the given slope. Then you plug in the given coordinates into the point-slope formula: y - y = m ( x - x ). So the expression would be y - (-4) = -1/3 ( x - (-6)). So the answer would be           y = -1/3x - 6.

Answer:

60 degrees

Step-by-step explanation:

s = r (theta)

(theta) = s/r

= 1 / (3/π) = π/3

as a degree π/3 x 180/π = 60

60 degrees

*Circumference = 2πr

6 = 2πr

r = 6/2π = 3/π

Answer:

The answer is "0.274 and 0.841"

Step-by-step explanation:

Given:

In this question, let X  the binomial random variable with the parameters:

[tex]n = 1000\\\\P = 0.193[/tex]

Calculating the random variable Z:

[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]

is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.

Using the continuity and tables to calculate:

[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]

(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".

(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".

According to the question,

Majority percentage, P = 19.3% or,

                                       = 0.193

Sample person, n = 1000

Q = 1 - P

   = 1 - 0.193

   = 0.807

By using Normal approx. to Binomial,

→ Mean, E(X) = n × P

By substituting the values,

                     = 1000 × 0.193

                     = 193

Standard deviation, X = √n × p × Q

                                      = √1000 × 0.193 × 807

                                      = 12.4800  

(a)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{210-193}{12.48}[/tex]

  = 1.36

The probability be:

→ P(X > 210) = 1 - P (Z < 1.36)

                    = 1 - 0.9131

                    = 0.08691

(b)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]

  = 8.57

hence,

The probability be:

→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)

                                = 1 - 0.1488

                                = 0.85122  

Thus the answers above are correct.

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Answer:B i think if wrong im so sorry

Step-by-step explanation:

Answer:

B 75+25h

Step-by-step explanation:

$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.

Answer:

27

Step-by-step explanation:

3x−y2​= ? if x= 7 & y= -3

Step 1 insert the numbers where they go:

3(7)-(-3)2=

Step 2 the two negatives become a positive:

3(7)+(3)2=

Step 3 multiply:

21+6=

Step 4 add:

27

Answer:

72

Step-by-step explanation:

Complete question :

Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years

Answer:

8,028.91

Step-by-step explanation:

Given :

Principal, P = 5000

Rate, r = 7% = 0.07

Period, t = 7 years

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

A = 5000(1 + 0.07/1)^(1*7)

A = 5000(1 + 0.07)^7

A = 5000(1.07)^7

A = 5000 * 1.60578147647843

A = 8028.90738239215

Amount saved = 8,028.91

Answer:

Emily ,  don't put your whole name in the questions :DDDD, it's at the top of the page, anyway,     Eloper   .. :DDD

Step-by-step explanation:

It's arithmetic  b/c  you're just adding  1

arithmetic

1

1

are the answers ,  the last one is b/c that's the common difference.

Answer:

The bigger angle is 135, and the smaller angle is 45.

Step-by-step explanation:

First, you have to know that supplementary angles add up to 180°.

We have no equations for the angles, so I will use the variable x for the value of the smaller x.

The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.

Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.

Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.

To solve the equation:

1. Combine like terms

4x=180

2. Divide both sides by 4

x=45

Now that we have the value of x, we can plug that in to 3x and x to find the angles.

3*45=135, which is the bigger angle

45, which is the smaller angle.

Answer:

12 different toppings

Step-by-step explanation:

Total combination / (number of syrup * Numbe rod ive cream flavors)

540 / (9*5)

540 / 45

= 12

Answer:

1/3

Step-by-step explanation:

Slope formula: y2 - y1/x2 - x1

Answer:

23,26,29,32,35,38,41,44

Step-by-step explanation:

In mathematics, WHOLE NUMBERS  are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on.  Whole numbers are the real numbers which includes zero and all the positive integers. Whole numbers don't include negative numbers, fractions, or decimals.  

Answer:

f(x) = (x - 3)(x - 4)

Step-by-step explanation:

f(x)= x^2 - 7x +12 factors immediately into f(x) = (x - 3)(x - 4).

The roots are {3, 4}

Answer:

x = 6

Step-by-step explanation:

3x + 4 = 22

subtract 4

3x = 18

divide by 3

x = 6

Answer:

x=6

Step-by-step explanation:

Subtract 4 from each side of the equation to get 3x=18. divide 18 by 3 to get 6, and divide 3x by 3 to get x. x=6

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Step-by-step explanation:

Exact Form:

[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]

Decimal Form:

x=-0.5, -1.¯3

Hope this helps     :)

Answer:

4 glasses, point is (32,4)

Step-by-step explanation:

Really tired but if you want an explanation, do tell me.

Answer:

Cuba, Venezuela, Colombia, Mexico

Answer:

Step-by-step explanation:

4w⁻¹ = 4/w¹ = 4/w

Answer:

pi 50 x^4

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

The radius is 5x  and the height is 2x^2

V = pi (5x)^2 * 2x^2

V = pi ( 25x^2) (2x^2)

   = pi 50 x^4

Answer:

[tex]50\pi x^{5}[/tex]

Step-by-step explanation:

50π[tex]x^{5}[/tex]

Answer:

30 + 0.89m

Step-by-step explanation:

I think this is the correct answer.

Answer:

Step-by-step explanation:

A

The length of the 1 inch nail weighing 18 mg is 25.4 mm

An equation is an expression showing the relationship between numbers and variables.

Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.

1 inch = 0.0254 meter

1 m = 1000 mm

Given the nail is 1 inch, hence:

1 inch = 0.0254 m

0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm

The length of the nail is 25.4 mm

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Answer:

We have 15 Nickels and 10 Dimes.

Step-by-step explanation:

This is a system of equations! [Literally in a class reviewing that rn}

Lets make a chart:

    Number of Coins  x  Value of Coin = Total Value

Dimes  |   d               |   10                          | 10d

Nickels |   n               |  5                           | 5n

So, When you have a System of Equations with Money, One equations is about the value of the money, and the other about the number of coins.

The First Equation [Number of Coins]:

D + N = 25

the Second Equation [Value of Money]:

10D + 5N = 175

I will use Elimination to solve this, however, graphing and substitution works too.

ELIMINATION:

Multiply First equation by -5

-5[D + N = 25] = -5D - 5N = -125

Add the Two Equations vertically.

-5D - 5N = -125

10D + 5n = 175

---------------------

5D = 50

Divide both sides by 5.

5D/5 = 50/5

D = 10

Substitute D= 10 In any equation and solve for the other variable.

10 + N = 25

Subtract 10 from both sides.

10 - 10 + N = 25 - 10

N = 15

So, we have 15 Nickels and 10 Dimes.

==================================================================

Hope I Helped, have a Great Day!

        -Aadi x

Answer:

1.84

Step-by-step explanation:

I think you gave the wrong information because if you divided 81 by 44 you will get 1.84...

Answer:

30

Step-by-step explanation:

Answer:

3a+5b

Step-by-step explanation:

Variable 1:  a = candy corn

Variable 2: b = chocolate

Inequality 1:  60 ≥ 3a + 5b

Inequality 2: 20 ≤ 3a + 5b

The inequalities are as such because Josh needs to spend no greater than $60.  He must also buy at least 20 bags of candy.  The candy corn costs $3, while the chocolate costs $5.  An expression for the total cost of the candy would be 3a + 5b.

Answer:

[tex]26.68\ \text{feet}[/tex]

Step-by-step explanation:

a = 100 feet

[tex]\angle B=20^{\circ}[/tex]

[tex]\angle C=45^{\circ}[/tex]

[tex]\angle A=180-(20+45)=115^{\circ}[/tex]

From sine rule we have

[tex]\dfrac{\sin B}{b}=\dfrac{\sin A}{a}\\\Rightarrow b=\dfrac{\sin B}{\sin A}a\\\Rightarrow b=\dfrac{\sin 20^{\circ}}{\sin 115^{\circ}}\times 100\\\Rightarrow b=37.73\ \text{feet}[/tex]

[tex]\sin C=\dfrac{h}{b}\\\Rightarrow h=b\sin C\\\Rightarrow h=37.73\times \sin 45^{\circ}\\\Rightarrow h=26.68\ \text{feet}[/tex]

The is seagull is [tex]26.68\ \text{feet}[/tex] above the ground.

Answer:

8

Step-by-step explanation:

good luck. hope this helps.