Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as it is greater than 4 in. Which statement about Aziza’s claim is correct?
Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.
Aziza’s claim is not correct. The third side can be any length less than 26 in.
Aziza’s claim is not correct. The third side can be any length.
Aziza’s claim is not correct. The third side must create a scalene triangle.

Answer:

the answer of given question is 1/5

Answer:

Step-by-step explanation:

Initial value is 10 minutes and additional time is 4 minutes per week.

This is a linear function with

The formula for the time of run after n weeks is

Daily run time after 8 weeks is

Step-by-step explanation:

[tex]y = 6 \tan( \frac{x}{2} ) - 3[/tex]

Set y=0

[tex]0 = 6 \tan( \frac{x}{2} ) - 3[/tex]

[tex]3 = 6 \tan( \frac{x}{2} ) [/tex]

[tex] \frac{1}{2} = \tan( \frac{x}{2} ) [/tex]

[tex] \tan {}^{ - 1} ( \frac{1}{2} ) + \pi = \frac{x}{2} [/tex]

Multiply both sides by 2

[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi = x[/tex]

So the x intercepts of the function is

[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi[/tex]n

Answer:

Step-by-step explanation:

Discussion

Question One

The first question is just to derive a formula that represents the cost of anything bought in Idaho.

c = p + 6/100 * p

c = p + 0.6 * p

c = 1.06 p

Question Two

The second question requires an entirely different formula. You don't use the first formula. You just use it's idea. Further, you take the sales tax only when you know how much money has exchanged hands.

c  = (p - 30/100 p) + 6/100*(p - 30/100 * p)

c = (p - 0.3p) + 0.06* (p - 0.3p)

c = 0.7 p + 0.06*(0.7p)                          Combine the right side

c = 0.7p + 0.042p                                 Combine

c = 0.742p

33.39 = 0.742p                                        Divide by 0.742

33.39/0,742 = p                            

p = 45 dollars

The original cost was 45 dollars

Answer:

First box - divide both by 2

Second box - subtract 8 by 6

last box - subtract x

Answer:

1. 2

2. 4

3. 20

4. 10

5. 4

6. 4

Step-by-step explanation:

I'm not sure about the last one.

hope this helps

have a good day

Answer:

27 and 28

Step-by-step explanation:

x+x+1=55

2x+1=55

2x=55-1

2x=54

divide each side by 2

x=27

x+1=28

check your answer adding the two integers

27+28=55

the given expression does not represent a polynomial

Answer:

BCA

CAB

ABC

that kind of triangle is a scalene triangle, meaning there are no equal sides. if you see, B is the smallest of the sides and C is the largest, so A is in the middle.

Answer:

same

Step-by-step explanation:

A line remains same if the center of dilation is on the line.

Answer:

Formula  for arc length  =

arc length  =  r  θ         where θ is in radians

So  we  have

2pi  =  5 θ             solve for θ  and we have that

θ  =  [ 2 pi ]  / 5

The area  of the sector   =

(1/2) r^2 θ   =   (1/2)(5^2) (2pi) / 5   =   5 pi  in^2  ≈ 15.7  in ^2

The rectangular  shape  has more area  = (5 * 4)   = 20 in ^2

Step-by-step explanation:

I don't think this will help but hope it does

The fraction of people who chose summer is 1/9.

Fraction is a number that represents the part of the whole.

It is given that

The fraction of people who chose either spring or summer = 6/9

This can also be represented as P( Spring ∪ Summer) = 6/9

P( Spring ∪ Summer) =  P( Spring ) + P( Summer)   ---------- (1)

It is also given that

The fraction of people who chose spring = 5/9

The fraction of people who chose summer = ?

From the equation 1

6/9 = 5/9 + P(  Summer)

P(  Summer) = 1/9

Therefore , The fraction of people who chose summer is 1/9.

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Answer:

y=-9x-9

Step-by-step explanation:

Just plug in your Ys and Xs in order to get y=-9x-9

Answer:

D

Step-by-step explanation:

2x²-24x-14=0

2(x²-12x-7)=0

x²-12x-7=0

Expand A, B, C, D

A. (x-6)²=50 => x²-12x+36=50 => x²-12x-14=0 [not correct]

actually from here you can see B, C are not correct

D. (x-6)²=43 => x²-12x+36=43 => x²-12x-7=0 [correct)

The equation that shows the miles Andrea drove is $104 = $50 + $3x.

The total cost of renting the moving truck is a function of the cost to rent per day and the total miles driven. The cost to rent the truck per day is the fixed cost while the cost per mile is the variable cost.

Total cost = cost to rent per day + (cost per mile x total mile driven)

$104 = $50 + $3x

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Answer:

[tex]y = \frac{x}{5}[/tex]

Step-by-step explanation:

I am going to assume that by "f-1(x)" you mean [tex]f(x)^{-1}[/tex], which makes this an inverse function problem. To find the inverse of a function, simply swap x and y, then solve for y.

[tex]x = 5y\\y = \frac{x}{5}[/tex]

Answer:

[tex]2-\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}[/tex]

Answer:

The coordinates of the epicenter are (1,2) ie x=1, y =2

Step-by-step explanation:

We use the fact that the distance d  between 2 points, (C y₁) and (x₂, y₂) is computed by the Pythagorean formula:
(x₁ - x₂)² + (y₁ - y₂) = d²

Let the epicenter be located at (x, y)

Distance dA from point A(5,2) is known to be 4 and is given by the equation:
(x-5)² + (y - 2)² = dA² = 4² = 16 ==>

(x-5)² + (y-2)² = 16              (1)

Similarly, the distance  from point B(-2,2) is given as 3. Therefore,
(x - (-2))² + (y-2)² = 3² = 9 or
(x + 2)² + (y-2)² = 9     (2)

Distance from point C(1,-3) ==>

(x-1)² + (y-(-3))² ==> (x-1)² + (y +3)² = 25 ...(3)

(1) - (2) cancels out the y terms and gives us
(x-5)² - (x+2)² = 7   (4)

This simplifies to
x² + -10x + 25 - (x² +4x + 4)  = 7
or
x² + -10x + 25 -x² -4x -  4 = 7
-10x -4x = 7 - 21 = -14
Therefore, -14x = -14 giving us x = 1

Substituting for x = 1 in equation (3) gives us
(1-1)² + (y+3)² = 25 or
y + 3 = √25 = 5 giving y = 2

So we get the epicenter coordinates as x=1, y =2

Crosscheck in each of the equations (1), (2) and (3) for consistency
Equation 1 : (1-5)² + (2-2)² = -4² = 16           Check!

Equation 2: (1-(-2))² + (2-2)² = (1+2)² = 3² = 9  Check!

Equation 3: (1-1)² + 2-(-3))² = (2+3)² = 5²   Check!

Answer:

because -12 is smaller than x

Step-by-step explanation:

for example some one got 14$ and lost 12$ it mean this -12 and the remaining keep it as 12$ no plus sign

each interior angle= 168°

the number of sides the polygon has.

180- 360/n= 168

12= 360/n

n= 360/12

n= 30

therefore, the polygon has 30 sides.

the answer to your question is 30 sides

hope this helps

Answer:

Step-by-step explanation:

Let

Eqautions as per question

Combined, there are 182 ​Asians, Africans,​ Europeans, and Americans in a village.

The number of Asians exceeds the number of Africans and Europeans by 59.

The difference between the number of Europeans and Americans is 14.

If the number of Africans is​doubled, their population exceeds the number of Europeans and Americans by 16

Substitute a, b and c into the first equation and solve for d

Find the other variables

We found that

Answer:

5/7

Step-by-step explanation:

It goes up 5, and goes to the right 7.

Answer:

Step-by-step explanation:

Here's an example:

x^2 + 6x + 9 = 0

First factorise it:

(x + 3)(x + 3) = 0

So the solution is  x = -3 (multiplicity 2)

That is there are 2 roots both -3.

If each of A, B, and C are mutually independent, then

P(A and B and C) = P(A) P(B) P(C)

so that the probability of the three-way intersection is

P(A and B and C) = 0.66 × 0.52 × 0.78 = 0.267696 ≈ 0.27

We can translate word equations into number equations by recognizing key words as operations:

We're given:

Divide the sentence into parts:

Translate into numbers and operations:

Isolate n:

15 = 3 × (3n - 4)

15 = 9n - 12

27 = 9n

n = 3

15 = 3 × (3n - 4)

n = 3

Answer: 1 3/4

Step-by-step explanation:

8 1/2 - 6 3/4

change the 1/2 to 2/4

then take away 1 from 8 and add 4 to the 2 and it gets 6

6-3=3

7-6=1

Answer:

90°.

Step-by-step explanation:

if AR is diameter and the angle ∠AOR (it's m∠2) is based on this diameter, then its measure is 90°. It is central angle.

Answer:

ad r4

Step-by-step explanation:

rfrrrrfe

[tex]\text{Apply sine rule,}\\\\~~~~~~\dfrac{28}{\sin 27^{\circ}}=\dfrac x{\sin 64^{\circ}}\\\\\\\implies x = \dfrac{28 \sin 64^{\circ}}{\sin 27^{\circ}}\\\\\\\implies x \approx 55.4334[/tex]