Triangle ABC is shown with its incenter at D. The inscribed circle's radius measures 2 units. The length of AB is 9 units. The length of BC is 10 units. The length of AC is 17 units.
What is the area of triangle ACD?
What is the area of triangle ABC?

Answer:

Given:

s = -9

We exchange this value into our inequality;

-23s  ≥ 6

-23(-9) ≥ 6

207 ≥ 6

Distance = √(17) Because 1 + 16 = 17

Answer:

4, 5, and 6

Step-by-step explanation:

Three Consecutive integers are x, x+1, x+2

We are given 3 times the first integer is 2 times the third

So

3x = 2(x+2)

Solve for x

3x = 2x+4

x = 4 (first integer)

so the 3 integers are 4, 5, and 6

Answer:

22%

Step-by-step explanation:

It's 22% because if we want to find the percent change in something, the formula for that is new number - (minus) old number, than divide by old number, and lastly multiply by 100. So,

1. 1037 - 850 = 187

2. 187 / 850 = 0.22

3. 0.22 x 100 = 22 --> 22%

Answer:

139.25 m²

Step-by-step explanation:

Area  of the square = 10 * 10 = 100 m²

Radius of the semicircle = 5 m

Area of the semicircle = π(5)²/2 = 39.25 m²

Total area = 100 + 39.25 = 139.25 m²

Step-by-step explanation:

first, add the whole numbers

6 + 7 = 13

then the fractions

3/8 + 5/6

we need to get common denominators

do you know how to do that

Answer:

4

Step-by-step explanation:

12/3= 4

Answer:

4 bottles

Step-by-step explanation:

Use a proportion.

12 bottles are to $9 as x bottles are to $3.

12/9 = x/3

4/3 = x/3

x = 4

Answer: 4 bottles

Answer:

[tex]\huge\boxed{x=4}[/tex]

Step-by-step explanation:

[tex](3x+8)+(2x+4)=32\\\\3x+8+2x+4=32\qquad|\text{combine like terms}\\\\(3x+2x)+(8+4)=32\\\\5x+12=32\qquad|\text{subtract 12 from both sides}\\\\5x+12-12=32-12\\\\5x=20\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{20}{5}\\\\x=4[/tex]

The term varies or changes, and often there are restrictions set on the variable (eg: x is positive). Think of a variable as a placeholder for a number.

Answer:

10/9 is the simplified fraction for 50/45.

Step-by-step explanation:

Answer:

D. x + 6

Step-by-step explanation:

In the given graph, we have 3 x-intercepts values, which are points at which the line intercepts the x-axis. They are, -6, -3 and 0.

Each of these x-intercepts can be written as a factor of a polynomial function as follows:

x = -6

x = -6 + 6

x + 6 = 0

x = -3

x = -3 + 3

x + 3 = 0

x = 0

Therefore, the factor of the polynomial function must be: x + 6

Answer:

9/4

Step-by-step explanation:

Complete question is;

Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements

might describe Peter's drawing?

I. AC and AP are parallel.

II. PAC is an angle

III. AC and AP are perpendicular

A. I and II

B. II and III

C. I and 111

D. I, II, and III

Answer:

Option B: II & III

Step-by-step explanation:

We are told that Peter drew two rays which are AC and AP.

We are told that A is a common endpoint.

If A is a common endpoint, it means the 2 rays interaction point at A is at an angle.

The angle could also be 90° which means it's possible that the rays AC and AP are perpendicular.

Thus, the correct statements that describe his drawing are: II & III

The surface area of the given ramp is 264 in²

The given ramp is a triangular based prism is calculated as;

Surface area = Area of all the faces of the prism

Surface area = 2[0.5(8*6)] + (6*9) + (9*10) + (8*9)

Surface area = 48 + 54 + 90 + 72

Surface area = 264 in²

Hence the surface area of the given ramp is 264 in²

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Answer:

264

Step-by-step explanation:

Answer:

A. -1. (27)

B. 0.3

C. -14

D. -18

Step-by-step explanation:

I just use the calculator

Answer:

5 times 3 is 15 and if you divide 3 by 15 you answer will be 5

Step-by-step explanation:

Answer:

-2x+y=-3

Step-by-step explanation:

mr clean

2x+y=-3

on algebra, to move something to the other side of the equal sign you must make the variable cancel out.

so, in this case, we will add 2x to cancel out the -2x. after that rules of algebra state whatever we do to one side of the equal sign, we must do to the other. so we get 2x on the left side, resulting in 2x+y=-3

Answer:

answer is 150

Step-by-step explanation:

answer is 150

The option which gets you more pizza is two 12" pizzas.

It can be defined as the longest chord of the circle and it is twice the size of  a radius.

We were told that one 18" pizza or two 12" pizzas costs the same and the one with the largest size is two 12" pizzas which was why it was chosen as the most appropriate choice.

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Answer:

P (A|C) = 0.39

P (C|A) = 0.446

Step-by-step explanation:

The data provided is as follows:

                                              Blood Group

                                  O           A            B           AB         Total

                         1)    0.082    0.101     0.005     0.004     0.192

Ethnic Group   2)    0.140     0.141      0.018     0.009     0.578

                        3)    0.215     0.195     0.070     0.020    0.500

      Total                0.437     0.437     0.093     0.033

The event C = {Ethnic group 3 is selected}

Compute the value of P (A|C) as follows:

[tex]P(A|C)=\frac{P(A\cap C)}{P(C)}=\frac{0.195}{0.5}=0.39[/tex]

If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(A | C) = 0.39.

Compute the value of P (C|A) as follows:

[tex]P(C|A)=\frac{P(A\cap C)}{P(A)}=\frac{0.195}{0.437}=0.446[/tex]

If we know that the individual has type A blood group, the probability that he came from ethnic group 3 is given by P(C | A) = 0.446.

I will start off by defining the angle

[tex] \alpha = 90 - \beta [/tex]

as being the angle between altitude and the hypotenuse of the triangle.

[tex] \alpha = 90 - 30.1 = 59.9[/tex]

Using trigonometry, and the definition of the tan function defined by

[tex] \tan( \alpha ) = \frac{opp}{adj} = \frac{x}{1836.3} [/tex]

[tex] \tan( 59.9 ) = \frac{x}{1836.3} [/tex]

[tex]x = 1836.3 \times \tan(59.9) [/tex]

[tex]x = 3167.78[/tex]

Rounding to the nearest tenth

[tex]x = 3170[/tex]

Answer:  False :)

Step-by-step explanation:

Answer:

Write 13.026 as  

13.026

1

Multiply both numerator and denominator by 10 for every number after the decimal point

13.026 × 1000

1 × 1000

=  

13026

1000

Reducing the fraction gives

6513/500

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's assume this is a function

The points are

Since it is linear relation, we'll get the slope intercept form

Using the points, let's calculate the formula

So the formula is:

Answer:

B

Step-by-step explanation:

Y-intercept is where a graph crosses the y-axis at x=0

f(x) = 6x^2 + 18x + 3

f(0) = 6(0)^2 + 18(0) + 3 = 3

From the plot, g(x) at x=0 is 6.

So the answer is B. g has a greater y-intercept than f.

For f(x)

[tex]\\ \rm\rightarrowtail y=6x^2+18x+3[/tex]

[tex]\\ \rm\rightarrowtail y=6(0)^2+18(0)+3=3[/tex]

From the graph

y intercept of g(x)=6

So option B is correct

The Fugitive Slave Act of 1850 affect enslavement is one that stopped enslavers from looking for people who had run away.

This Act was said to have hinder enslavers from searching for people who had run away.

It was said to have given citizenship to any kind of enslaved person that has ran away to a free state. It also punished individuals that helped enslaved people escape. This law was passed on September 18, 1850.

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