Solve for x:
AD bisects ZBAC
A

Answer:

Trigonometry Examples

Since π3 is in the first quadrant, the reference angle is π3 .

Since π3 is in the first quadrant, the reference angle is 60 degrees

Step-by-step explanation:

HOPE THIS WILL HELP YOU

Answer:

10

Step-by-step explanation:

find the square root of the sum of the squares

The length of the hypotenuse for the given right angled triangle is 10 units.

Pythagoras theorem states that the square of the hypotenuse is equivalent to the square of the base and perpendicular.

We can write the formula for Pythagoras theorem as -

(hypotenuse)² = (base)² + (perpendicular)²

Given is to find the length of the hypotenuse in the right angled triangle shown.

Using the Pythagoras theorem, we can write that -

(hypotenuse)² = (base)² + (perpendicular)²

(hypotenuse)² = (5√2)² + (5√2)²

(hypotenuse)² = 2 x (5√2)²

(hypotenuse)² = 2 x 25 x 2

(hypotenuse)² = 100

(hypotenuse) = 10

Therefore, the length of the hypotenuse for the given right angled triangle is 10 units.

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Answer:

126 square units

Step-by-step explanation:

Area of section 1 is 8 square units which is triangle and,

Area of triangle is =  [tex]\frac{1}{2}\times b\times h[/tex]

b= 2 units and height =8 units

So,

Area of section 1  =  [tex]\frac{1}{2}\times 2\times 8=8 \quad\text{ square units}[/tex]

Same Area is of section 2 which is also a triangle and has same base and height.

So,

Area of Section 2 = [tex]\frac{1}{2}\times 2\times 8=8 \quad\text{ square units}[/tex]

Now the Area of section 3 which is square with side of 10 units

So,

Area of section 3 =  [tex]a^{2} =10\times10=100\quad \text{square units}[/tex]

Total Area of Trapezoid = [tex]8+8+100=126 \quad \text{square units}[/tex]

Answer:

25 years

Step-by-step explanation:

Answer:

1: 3

Step-by-step explanation:

2 triangles : 6 circles

Divide each side by 2

2/2 : 6/2

1 :3

1 triangle : 3 circles

Answer:

Estos pares de factores son (1, 35) y (5, 7).

espero que esto ayude.

➡ (1,35)

➡ (5,7)

Answer:

2 the change in expected height for every additional centimeter of femur length

Step-by-step explanation:

1 and 4 have 55 is the starting point but is just there to throw you off and 3 has expected femur length, but the graph says expected height

Answer:

(0 , 4)

Step-by-step explanation:

The Y-intercept is when a line crosses sector y at any point. This means x will be zero. Simply to find the y-intercept from this quadratic function, just look at where the line crosses the y-line.

This clearly passes at (0,4), therefore (0,4) is the y-intercept.

Answer:

$114.19

Step-by-step explanation:

7.25*15 = 108.75

108.75*1.05 = 114.1875

You can't have less than a cent, so it is $114.19

Answer: $114.19

Step-by-step explanation:

Answer:

3,052.08

Step-by-step explanation:

Formula for sphere: (4/3)(pi)(r^3)

Filled in: (4/3)(3.14)(729)

Calculated: 3,052.08

Since the diameter for a segment is 68 centimeters long, we must divide that number by 4, since there are four circles. Next, we get 17.

Then, we use the formula for solving a circle, which is [tex]A = \pi r^2[/tex]. Plug in 8.5 (half of 17) for the radius, and then convert pi into 3.14. The equation should now look something like this: [tex]A = 3.14 * 8.5^2[/tex]. When solving, we get 265.865 for one circle only. We next multiply 256.856 by 4 since there are four circles. After multiplying you should get a total of 907.46 centimeters squared.

If this isn't correct, then do the same thing, but the radius is 34 centimeters.

Answer:

1) 108 A+    2) 98 B+

Step-by-step explanation:

Answer:

[tex] \dfrac{1}{9^6} [/tex]

Step-by-step explanation:

[tex] \dfrac{9^3}{9^9} = 9^{3 - 9} = 9^{-6} = \dfrac{1}{9^6} [/tex]

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ M(\stackrel{x_1}{0}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x + 0}{2}~~~ ,~~~ \cfrac{ y + 8}{2} \right)~~ = ~~\stackrel{\textit{\Large Q}}{(4~~,~~10)}\implies \begin{cases} \cfrac{x+0}{2}=4\\[1em] \boxed{x=8}\\[-0.5em] \hrulefill\\ \cfrac{y+8}{2}=10\\[1em] y+8=20\\ \boxed{y=12} \end{cases}[/tex]

Answer:

D

Step-by-step explanation:

f(x) = g(x) at x=5

means

f(5) = g(5)

3n+19

Explanation:

(1/2)(6n + 38)

Find the volume of a cylinder with a radius of 4 meters and a height of 13 meters. Use * 3.14.

radius of the cylinder = 4 m

height of the cylinder = 13 m

To find: The volume of the cylinder (where pi = 3.14)

We know that volume of cylinder

[tex] \pi {r}^{2} h[/tex]

Now by using the formula = 3.14 × (4) × (4) × 13

= 3.14 × 208

= 653.12 m³

Answer:

48.2 feet

or

578.4 inches

Step-by-step explanation:

Perimeter is the distance around the shape or in this case the room. Assuming the room is a rectangle you would have two walls of the same length totaling 4 walls.

To find the perimeter add up 14.5 + 14.5 + 9.6 + 9.6 = 48.2 feet

Since it askes for the answer in inches you have to convert from feet to inches by multiplying your answer by twelve.

Answer:

All of them but the last one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Out of all the answers given as a choice B makes the most sense because the triangle AB and point of intersection of the two circles form an equilateral triangle.

In general to construct a perpendicular bisector after we drew the two circles we have to ...draw a straight line trough the points where the two circles intersect and that is our perpendicular bisector of AB.

Answer:

x^14 y^9

Step-by-step explanation:

Add the exponent of the x's

(x^5) + (x^9) = x^14

Add the exponent of the y's

(y^7) + (y^2) = y^9

You can't combine different varibles so your answer will be x^14 y^9

Answer:

root 7

Step-by-step explanation:

apply tan60=p/b=root 21/ x

The probability of getting exactly 8 hits in his next 20 at-bats is 0.153 (Round off to the nearest thousandth.).

The correct option is (c)

Binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.

Probability= [tex]C^{n}_r\; p^{r} \;q^{(n-r)[/tex]

where, n= number of trial,

r= number of success desire,

p= probability of success,

q= probability of Failure

probability of success = 0.34

To find the probability of winning exactly 8 hits in next 20 at-bats we find

dbinom (8, 20, 0.34)

Since p= 0.34

q= 1-p

 = 1-0.34

 = 0.66

n= 20, r=8

Using Binomial Distribution, we get

Probability= [tex]C^{n}_r\; p^{r} \;q^{(n-r)[/tex]

                 =[tex]\frac{n!}{r!(n-r)!} p^{r}\; q^{(n-r)}[/tex]

                 = [tex]\frac{20!}{8!(20-8)!} (0.34)^{8}\; (0.66)^{(20-8)}[/tex]

                = 125970 x 0.0001785794 x 0.00683168

                = 0.1536830

                ≈ 0.153 (Round off to the nearest thousandth.)

Hence, the probability of getting exactly 8 hits in his next 20 at-bats is 0.153.

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Answer:

I hope dis helps

Step-by-step explanation:

Simplify  

           x2 + 5x + 4

Trying to factor by splitting the middle term

1.1     Factoring  x2 - x - 2

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   1 • -2 = -2

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is   -1 .

     -2    +    1    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  1

                    x2 - 2x + 1x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-2)

            Which is the desired factorization

Trying to factor by splitting the middle term

1.2     Factoring  x2+5x+4

The first term is,  x2  its coefficient is  1 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  +4

Step-1 : Multiply the coefficient of the first term by the constant   1 • 4 = 4

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is   5 .

     -4    +    -1    =    -5

     -2    +    -2    =    -4

     -1    +    -4    =    -5

     1    +    4    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  4

                    x2 + 1x + 4x + 4

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+1)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x+1)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (x+1)

            Which is the desired factorization

Canceling Out :

1.3    Cancel out  (x+1)  which appears on both sides of the fraction line.

Final result :

 x - 2

 —————

 x + 4