D is at the top of a tree 8 meters tall. you are on the ground, 10 meters away from the bird. how far are you
the base of the tree?
710 meters
36 meters
6 meters
v6 meters

The solving of the fractions simply shows that the value of 1 2/3 + 3 1/2 is 5 1/6.

The first fraction give is:

= 1 2/3 + 3 1/2

= 1 4/6 + 3 3/6

= 4 7/6

= 4 + 1 1/6

= 5 1/6

Also 3/4 - 5/7 will be:

= 3/4 - 5/7

= 21/28 - 20/28

= 1/8

It should be noted that when solving fractions, it's important to have a common denominator.

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The factorization of the given polynomial is:

p(x) = (x - 2/3)*(x - 1) = (1/3)*(3x - 2)*(x - 1)

We have:

[tex]p(x) = 3x^2 - 5x + 2[/tex]

First, we need to find the two roots for the equation, then we use Bhaskara's formula to get:

[tex]x = \frac{5 \pm \sqrt{5^2 - 4*3*2} }{2*3} \\\\x = \frac{5 \pm 1}{6}[/tex]

So the two solutions are:

x = (5 + 1)/6 = 1

x = (5 - 1)/6 = 4/6 = 2/3

Then the polynomial can be written as:

p(x) = (x - 2/3)*(x - 1)

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Answer: (3x -2) and (x-1)

Step-by-step explanation:

Just took the test

Answer:

centre = (0, 0 ) , radius = 2

Step-by-step explanation:

the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 4 ← is in this form

with centre (0, 0 ) and r = [tex]\sqrt{4}[/tex] = 2

Answer:

B

Step-by-step explanation:

Answer:

OBtuse <

Step-by-step explanation:

Answer:

k=-2

Step-by-step explanation:

Using substitution to find what you're missing, (in this case k) is when you plug each letter into the other equation:

-4k+3=3k+17

So now solve for k:

subtract 3 from both sides...

-4k=3k+14

subtract 3k from both sides to combine with -4k...

-7k=14

divide -7 from both sides...

k=-2

2.                                                                                                                   Answer: 35

Step-by-step explanation:

4x3 grid so 4!= 24 and 3!= 6                                                                        4+3=7 so 7! = 5040     now     7!/4!*3!=35.                            

Answer:

1 and a half

Step-by-step explanation:

There is one full half cup in a 3/4 cup.  A half of a half is a fourth and there is still one more fourth left so 1/2 plus 1/4 is 3/4.

Lets see

radius of small cone= 4 cm

radius of large cone= 6 cm

height of small cone= 4 cm

height of large cone= 20 cm

[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]

[tex]v = \frac{1}{ 3} \times \pi \times {6}^{2} \times 20[/tex]

[tex]v = 753.98 \: {cm}^{3} [/tex]

[tex]v = \frac{1}{ 3 } \pi {r}^{2} h[/tex]

[tex]v = \frac{1}{3} \times \pi \times {4}^{2} \times 4[/tex]

[tex]v = 67.02 \: {cm}^{3} [/tex]

[tex]v = 753.98 - 67.02[/tex]

[tex]v = 686.96 \: {cm}^{3} [/tex]

volume of smaller cone:

[tex] = 67.02 {cm}^{3} [/tex]

volume of larger cone:

[tex] = 753.98 {cm}^{3} [/tex]

frustum:

[tex] = 686.96 {cm}^{3} [/tex]

Answer:

(2x - 3)  cm

Step-by-step explanation:

Area of window = height × length

Given:

To find the length of the window, factor the expression for Area.

Factor  [tex]4x^2+2x-12[/tex]:

Find 2 two numbers that multiply to the product of the leading coefficient and the constant (4 × -12 = -48) and sum to the coefficient of the middle term (2):  -6 and 8

Rewrite the middle term as the sum of these 2 numbers:

[tex]\implies 4x^2-6x+8x-12[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 2x(2x-3)+4(2x-3)[/tex]

Factor out the common term (2x - 3):

[tex]\implies (2x+4)(2x-3)[/tex]

Therefore, the length of the window is (2x - 3)  cm

(2x-3)cm

Answer:

Solution given:

height =2x+4

length=?

Area of window =(4x²+2x-12)cm²

we have

length*height =Area

length*(2x+4)=4x²+2x-12......(1)

Firstly let factorize 4x²+2x-12

taking common 2(2x²+x-6)

doing middle term factorization 2(2x²+4x-3x-6)

=2(2x(x+2)-3(x+2))

=2(x+2)(2x-3)

substituting it in equation 1

length*(2x+4)=2(x+2)(2x-3)

length*2(x+2)=2(x+2)(2x-3)

length =2x-3 cm

The length of window is (2x-3)cm

[tex]5^2(5^3 \cdot 5^2)\\\\=5^{2+3+2}\\\\=5^7\\\\=78125[/tex]

Answer:

5^7 or 78125

Step-by-step explanation:

5^2 (5^3 x 5^2)

This is the 5^2 is the same thing as 5x5 while 5^3 is the same as saying 5x5x5, when we evaluate these equations we get a new formula:

= 25 ( 125 x 25)

now we simplify.

= 25 (3125)

= 78125

Answer:

2:35 pm

If an hour is 60 minutes, what we know is that 30 minutes is half. However, we must subtract 55 from 30 (In time)

To make this easier, subtract 55 by actual 30, and split 55 into 2 parts, the result of subtraction, and the other value, 30

[tex]55-30=25[/tex]

Now, subtract.

[tex]3:30 - 30 = 3:00[/tex]

[tex]3:00-25=35[/tex]

If this is the case, the lesson must have started at 2:35 pm

[tex]\large\displaystyle\text{$\begin{gathered}\sf 1. \ \sqrt{5x+4} -1=2x \end{gathered}$}[/tex]

The root of the equation is solved first. Afterwards, both members of the equality are squared, the powers are developed and it is solved.

     [tex]\large\displaystyle\text{$\begin{gathered}\sf \sqrt{5x+4}=2x+1 \Longrightarrow 5x+4=(2x+1)^2 \end{gathered}$}[/tex]

           [tex]\large\displaystyle\text{$\begin{gathered}\sf 0=4x^2 +4x+1-5x-4 =4x^2-x-3 \\ &= 4\left(x^2-\dfrac{1}{4}-\dfrac{3}{4} \right)\\ &=4\left(x-1\right)\left( x+\dfrac{3}{4}\right) \end{gathered}$}[/tex]

                                           [tex]\large\displaystyle\text{$\begin{gathered}\sf x_1=1 \qquad x_2=-\dfrac{3}{4} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf 2. \ 3\sqrt{x-1}+11=2x \end{gathered}$}[/tex]

The root of the equation is cleared. Then, both sides of the equality are squared, the powers are developed and it is solved by the general formula.

               [tex]\large\displaystyle\text{$\begin{gathered}\sf 3\sqrt{x-1}=2x-11 \Longrightarrow 9(x-1)=(2x-11)^2 \end{gathered}$}[/tex]

            [tex]\large\displaystyle\text{$\begin{gathered}\sf 0=4x^2 -44x+121 -9x+9 =4x^2-53x+130 \end{gathered}$}[/tex]

   [tex]\large\displaystyle\text{$\begin{gathered}\sf x_{1,2}=\dfrac{53\pm \sqrt{(-53)^2-4(4)(130)}}{2(4)}=\dfrac{53\pm \sqrt{2809-2080}}{8}\\ &=\dfrac{53\pm \sqrt{729}}{8} = \dfrac{53\pm 27}{8}; \end{gathered}$}[/tex]

                               [tex]\large\displaystyle\text{$\begin{gathered}\sf \begin{matrix} \ \ \ \ \ \ x_{1}=\dfrac{53+ 27}{8} \qquad &\ \ \ \ \ x_2=\dfrac{53 - 27}{8}\\ x_1=\dfrac{80}{8} \qquad &\ \ x_2=\dfrac{26}{8}\ \ \ \\ x_1=10 \qquad &x_2=\dfrac{13}{4} \end{matrix} \end{gathered}$}[/tex]

Answer:

1,3,5,15

Step-by-step explanation:

The approximate mass of the spherical weight is 51 pounds

To answer the question, we need to know what the mass of the sphere is

The mass of the sphere m = ρV where

So, m = ρV

= ρ4πr³/3

Substituting the values of the variables into the equation, we have

m = ρ4πr³/3

= 0.284 lb/in³ × 4π(3.5 in)³/3

= 0.284 lb/in³ × 4π × 42.875 in³/3

= 48.706π lb/3

= 153.014 lb/3

= 51 lb

The approximate mass of the spherical weight is 51 pounds

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Answer:

you can find the given attachment

The area of a 2D form is the amount of space within its perimeter. The plastic that would be needed to cover the paper towel roll is 263.76 in².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The plastic that would be needed to cover the paper towel roll is equal to the surface area of the paper towel roll, therefore, the surface area is,

Total surface area = (2πrl) + 2(πr²)

                              = (2×π×3×11) + 2(π×3×3)

                              = 66π + 18π

                              = 263. 76 in²

Hence, The plastic that would be needed to cover the paper towel roll is 263.76 in².

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Answer:

i think so 4.32 L

Answer:

5.5 Hours

or

5 Hours 30 Minutes

Step-by-step explanation:

Answer:

x = -22.5

Step-by-step explanation:

Assuming 4x + 90 = 0

4x + 90 = 0

4x = -90

-90/4 = -22.5

Step-by-step explanation:

angle ADC = angle ABC / 2

= 135/2 = 67.5°

AC = 2r * sin (62.5)

AC = 1.84r

r is the radius of circle

Answer: a= - [tex]\frac{b}{x}[/tex]- [tex]\frac{c}{x2}[/tex]

Step-by-step explanation:

1. Move all terms not containing [tex]\alpha[/tex] to the right side of the equation.

[tex]\alpha[/tex][tex]x^{2}[/tex]=-bx-c

2. Divide each term in [tex]\alpha x^{2}[/tex]=-bx-c by [tex]x^{2}[/tex] and simplify.

a= - [tex]\frac{b}{x}[/tex] - [tex]\frac{c}{x^{2} }[/tex]

Answer:

Sum equation: x + y = 29

Difference equation: x - y = 13

Answer:

3 1/2

Step-by-step explanation:

the letter j is HALFway between four and three so it is 3 1/2

If the radius of the cylinder is 47 feet. Then the volume of the cylinder will be 277,450.4 cubic feet.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Jerry, Skyler, and kyle were measuring the tank (cylinder) for storing the water tower on the hill.

Working together jerry and Skyler determine the circumference was approximately 295.3 feet.

Kyle measured the height to be about 40 feet.

Then the volume of the cylinder will be

Volume = πr²h

Then the value of r will be

We know the circumference. Then the radius will be

295.3 = 2πr

       r = 47 ft

Then we have

Volume = π x 47² x 40

Volume = 277,450.4 cubic ft

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Answer:

x = 50°

Step-by-step explanation:

The three angles of any triangle always add up to 180°. Here, we have a 40° and a right angle. Right angles are always 90°.

To find the value of x, find the sum of the two other angles.

90 + 40 = 130°

Since we know that all angles add to 180, we can conclude the following:

x + 130 = 180

x = 50°

Hope this helps

Answer:

473.145 in squared

Step-by-step explanation:

Trick reminder: the top of the cylinder does not need to be calculated because it is the same as the negative part of the rectangle beneath.

20.25*3.14 = 63.585

6*28.26 = 169.56

10*10 = 100

10*3.5*4 = 140

63.585 + 169.56 + 100 + 140 = 473.145

The true speed and direction of the football thrown by the  quarterback is 39.139 mph and 7⁰ respectively.

The true speed and direction of the football is determined by applying the concept of relative velocity.

Vr/w = Vb - Vw

where;

Vr/w is the velocity of the football with respect to the wind

Vb is the velocity of the football

Vw is the velocity of the wind

Vr/w = 42 mph - 13 mph = 29 mph

The direction speed can be determined by a triangle

Direction of the speed, θ = (360 - 345) - (180 - 172)

                                      θ = 15 - 8 = 7⁰

Resultant speed;

[tex]R^2 = 42^2 + 13^2 - 2(42 \times 13 \times cos7)\\\\R^2 =849.139\\R = \sqrt{849.139}\\R = 29.139 mph[/tex]

Thus, the true speed and direction of the football thrown by the  quarterback is 39.139 mph and 7⁰ respectively.

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Answer:

29.140 ; 175

Step-by-step explanation:

Answer:

x =12

Step-by-step explanation:

combine like terms 32+ = -8 = 24 then divide 2x on each side  24/ 2x  which simipfy to 12