Please Somebody Help Me!

Answer:

-34

Step-by-step explanation:

-6-(11)-17

-6-11-17

-34

Answer:

For the pen to be as large as possible, the length the farmer should choose for the third side should be 20.52 feet

Step-by-step explanation:

The length of one side of the right triangle = 14 feet

The length of the other side = 15 feet

Therefore, the length of the third side can be one of the following side lengths;

[tex]S_{3,1} = \sqrt{14^2 + 15^2} = \sqrt{421} = 20.52 \ feet[/tex]

[tex]S_{3,2} = \sqrt{15^2 - 14^2} = \sqrt{29} = 5.39 \ feet[/tex]

The possible lengths of the third side of the triangle are;

Third side = 20.52 feet and

Third side = 5.39 feet

b. For the area of the pen to be as large as possible, we have;

With third side = 20.52 feet,  area of the pen = 0.5 × 15 × 14 = 105 ft²

With third side = 5.39 feet,  area of the pen = 0.5 × 5.39 × 14 = 37.7 ft²

Therefore, for the pen to be as large as possible, the farmer should choose 20.52 feet as he third side.

Answer:

a. c ≈ 20.5 ft (first possibility)

    b ≈ 5.4 ft(other possibility)

b. The farmer should choose the side that has 20.5 ft for the third side because it provide more larger area as needed by the farmer.

Step-by-step explanation:

The pen the farmer wants to build is a right angle triangle. one side of the triangle is 14 ft while another side is 15 ft.

A right angle triangle has opposite side, adjacent side and an hypotenuse which is the longest side.

a. To the nearest tenth of a foot, find all possible lengths for the third side of the triangle.

Pythagoras theorem can be used to solve any sides of the triangle when given 2 sides.

We are not told which side is the hypotenuse or the adjacent or the opposites side. Therefore , the possible length for the third side can be computed using Pythagoras theorem.

c² = a² + b²

c = hypotenuse

while a and b can be any of opposite or adjacent sides. The first possible length can be when both sides are the legs of the triangle (no hypotenuse)

c² = 14² + 15²

c² = 196 + 225

c² = 421

c= √421

c = 20.5182845287

c ≈ 20.5 ft (first possibility)

The other possibility of the third side is when the hypotenuse is Known and one other side(either adjacent or opposite). We can use only 15 since it should be the longest side.  

c² = a² + b²

c² - a² = b²

15² - 14² = b²

225 - 196 = b²

b² = 29

b = √29

b = 5.38516480713

b ≈ 5.4 ft(other possibility)

b. The farmer wants the area of the pen to be as large as possible. What length should he choose for the third side? Justify your answer.

The two scenarios are as follows

First area

area = 1/2 × base × height

area = 1/2 × 14 × 15 = 210/2 = 105 ft²

Second area

area = 1/2 × base × height

area = 1/2 × 5.4 × 14 = 75.6/2 = 37.8 ft²

The farmer should choose the side that has 20.5 ft for the third side because it provide more larger area as needed by the farmer.

Answer:

32p

Step-by-step explanation:

Times between 8pm and 11.30 are:

8pm,9pm,10pm,11pm,11.30pm

Costs for associated times:

8pm: 12p

9pm: 12p

10pm : 12p

11pm: 8p

11.30 pm: 4p

Total/sum = 32p

Answer:

32P

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

[tex]Midpoint \\ \\ = \frac{4.5 + ( - 2.5)}{2} \\ \\ = \frac{4.5 - 2.5}{2} \\ \\ = \frac{2}{2} \\ \\ = 1[/tex]

Answer:

A=12

B=54

C=18

Step-by-step explanation:

A=first

B=second

C=third

A+B+C=84

B=3C

A=C-6

C-6+3C+C=84

5C-6=84

5C=90

C=18

A=C-6

=(18)-6

=12

B=3C

=3(18)

=54

12, 54, and 18 so, what he said is true

Step-by-step explanation: he already gave this to you

Take sides as [tex] a, \: ar, \: ar^2[/tex]

Answer:

The values of F will be "16.58 i + 11.18 j".

Step-by-step explanation:

The given values are:

Force, F = 20 N

Angle, Ф = 33°

The formula use in the given scenario will be:

⇒  [tex]x=a \ Cos\theta[/tex]

⇒  [tex]y=a \ Sin\theta[/tex]

Now,

For Force, [tex]F=ai+bj[/tex]

⇒  [tex]a=F \ Cos\theta[/tex]

⇒     [tex]=20 \ Cos(34^{\circ})[/tex]

⇒     [tex]=20\times .829[/tex]

⇒     [tex]=16.58[/tex]

and,

⇒  [tex]b=F \ Sin\theta[/tex]

⇒     [tex]=20 \ Sin(34^{\circ})[/tex]

⇒     [tex]=20\times .55[/tex]

⇒     [tex]=11.18[/tex]

So that,

⇒  [tex]F=16.58 \ i+11.18 \ j[/tex]

Answer:I think it's D.

Answer:

y = 1/3x - 1

Step-by-step explanation:

1. if the gradient is -3, then the gradient of the perpendicular line should be 1/3.

2. substitute the new gradient and points into y - y1 = m (x - x1)

3. rearrange/move everything to give you the equation in y = mx + c form

Answer:

Angle 2 measures 58°

Step-by-step explanation:

Sum of all three angles formed = 180

Because the sum of angles on a straight line is always 180

Angle 1 =3x-4

Angle 2 = 4x+10

Angle 3= 90° (given)

So,

90+3x-4+4x+10=180

(4x+3x)+(90+10-4)= 180

7x+96=180

Bring 96 to the other side, making it negative,

7x = 180-96 = 84

x = 12

Therefore angle 2

= 4x+10

= (4)(12)+10

=48+10

=58°

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

Explanation:

f(x) = -x+9

f(0) = -0+9 .... replace x with 0

f(0) = 9

We will replace f(0) with 9 in the g(x) function. In other words, we plug in x = 9 into the g(x) function

This is because g( f(0) ) = g( 9 )

g(x) = x^2 - 6x + 9

g(9) = 9^2 - 6*9 + 9 ... replace x with 9

g(9) = 81 - 54 + 9

g(9) = 36

Therefore, g(f(0)) = g(9) = 36 or simply g(f(0)) = 36

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

Another method is to compute g(f(x)) algebraically first

g(x) = x^2 - 6x + 9

g(f(x)) = ( f(x) )^2 - 6*( f(x) ) + 9 .... replace every x with f(x)

g(f(x)) = ( -x+9 )^2 - 6*( -x+9 ) + 9 .... replace f(x) with -x+9

g(f(x)) = x^2 - 18x + 81 + 6x - 54 + 9

g(f(x)) = x^2 - 12x + 36

then we plug in x = 0

g(f(x)) = x^2 - 12x + 36

g(f(0)) = 0^2 - 12*0 + 36 ... replace x with 0

g(f(0)) = 36

Answer:

False

Step-by-step explanation:

When triangles are similar, their sides are proportional, not congruent.

I hope this helps :))

Answer:

C

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], since you are multiplying the area of the base (a circle) by the height of the cylinder to find the volume. Therefore, the volume of this cylinder is:

[tex]\pi r^2 h= \\\\3.14 \cdot 8^2 \cdot 15=\\\\3.14 \cdot 960=\\\\3014.4[/tex]

Hope this helps!

Answer:

[tex]3014.4ft^3[/tex]

even though this is not the most precise answer, ths is the answer you will be looking for

Step-by-step explanation:

To find the volume of a cylinder you use the formula [tex]V=\pi r^2h\\=\pi *8^2*15\\=3015.93ft^3[/tex]

Answer:

2.

Step-by-step explanation:

(4x-5)(x+3)

=4x^2+12x-5x-15

=4x^2+7x-15

Answer:

1/6 +√6 = 2.6162

Step-by-step explanation:

Answer:

B:2.6161564...

Step-by-step explanation:

edge2020

Answer:

[tex]5[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

Where [tex]b[/tex] is the y-intercept.

[tex]y=3x+5[/tex]

[tex]b=5[/tex]

Answer:

-3 is the slope

5 is the intercept

Answer:

See below in bold.

Step-by-step explanation:

The cost of what he wants to buy = 4.25 + 0.89 + 10.99

= $16.13

a) He does have enough to buy everything.

b) He has  20 - 16.13 = $3.87 left over.

Answer:

2π/3 I believe !

Step-by-step explanation:

Answer:

Area of the rectangle = 95 cm²

Step-by-step explanation:

Perimeter of the rectangle = Sum of the measures of the sides of the rectangle

From the figure attached,

Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]

                                       39 = 2(5x + 2)

                                       39 = 10x + 4

                                      10x = 39 - 4

                                      10x = 35

                                          x = 3.5

Therefore, measure of the given sides will be,

Length = (3x - 1) cm

3x - 1 = (3×3.5) - 1

        = 10.5 - 1

        = 9.5 cm

Width = (2x + 3) cm

2x + 3 = (2×3.5) + 3

          = 7 + 3

          = 10 cm

Area of the rectangle = Length × width

                                   = 9.5 × 10

                                   = 95 cm²

Therefore, area of the rectangle is 95 cm².

Answer:

v = 7i + 2j

w= - 4i + j

10v = 10(7i + 2j) = 70i + 20j

3w= 3(- 4i + j) = -12i + 3j

10v + 3w

= 70i -12i + 20j +3j

= 58i + 23j

Hope this helps.

Answer:

The area of semi-circle is 2π units²

Step-by-step explanation:

Answer:

Step-by-step explanation:

Expand first

-24+6x=14x

-6x on both sides

-24=8x

/x on both sides

X=-3

Answer: [tex]x=-3[/tex]

Step-by-step explanation:

You want to apply the distributive property. Or, you could just divide by 6 on both sides. Ill just apply the distributive property:

[tex]14x = -24 +6x[/tex]

Now subtract 6x from both sides to get:

[tex]8x = -24[/tex]

Divide both sides by 8 to get x = -3

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

How to get this answer:

The largest angle ABD is 90 degrees because of the small little angle square marker. Another clue is the notation [tex]BA \perp BD[/tex]. The upside down T symbol means "perpendicular", showing the lines BA and BD form a 90 degree angle. The pieces of the angle (ABC = 4x and CBD = 5x) must add up to 90 degrees, or else they wouldn't fit like a jigsaw puzzle.

--------

(angle ABC) + (angle CBD) = angle ABD

4x + 5x = 90

9x = 90 ... combining like terms

9x/9 = 90/9 ... dividing both sides by 9

x = 10

-------

If x = 10, then 4x = 4*10 = 40, which is the measure of angle ABC

If x = 10, then 5x = 5*10 = 50 is the measure of angle CBD

We see that ABC+CBD = 40+50 = 90

Answer:

1

Step-by-step explanation:

The slope intercept form for this problem is y = x - 16

Answer:

Let the first trip be x

Second trip is 2x-4

Third trip is 2(2x-4)

Fourth trip is 3x + 18

x + (2x-4) + 2(2x-4)+3x+18 = 426

x + 2x -4 + 4x - 8 + 3x + 18 = 426

10x + 6 = 426

10x = 426-6

x = 420/10 = 42 km

Second trip was

2x-4 = 2(42)-4 = 84-4 = 80 km

Third trip was

2 * 80 = 160 km

Fourth trip was

3(42) + 18 = 144 km

Answer:

The answer is no solution because these two lines have the same slope, meaning they are parallel. Parallel lines never intersect.

Answer:

No solution.

Step-by-step explanation:

Because y equals 7/2x-3, and 7/2x+3, we can say that both of these equations are equal to each other.

Thus, we have 7/2x-3=7/2x+3

(7/2)x-6=(7/2)x

x-6=x

-6=0

This is a false statement, so therefore this system of equations has no solution.

However, you can clearly see this as these lines are parallel lines as they have the same slope, 7/2. The solution to  a system of equation is the intersecting point, but as we know about parallel lines they  never intersect!

Hope this helps!

Answer:

a. 65

b. D

Step-by-step explanation:

The question asks for an expression that solves for the profit that the company will make from each phone. The expression would be 65x, where 65 represents $65 profit from each phone, since $50 is spent and $115 is made, 115-50 gives you the profit, $65

D is the answer because the question asks for the expression that shows the earnings, or how much is made from each phone

Answer:

  2. ±1, ±2, ±3, ±4, ±6, ±9, ±12, ±18, ±36

  3. see below for synthetic division

  4. complex roots: ±3i

  5. see the second attachment for a graph (has no symmetry)

Step-by-step explanation:

2. The Rational Root Theorem tells you possible rational roots are the form of ...

  ±(divisor of constant term) / (divisor of leading coefficient)

Here, we're lucky in that the leading coefficient is 1. The constant is 36, and its divisors are 1, 2, 3, 4, 6, 9, 12, 18, 36. Possible rational roots, according to the Rational Root Theorem are ...

  ±1, ±2, ±3, ±4, ±6, ±9, ±12, ±18, ±36

__

3. When actually searching for possible roots, it is useful to narrow down this list of 18 candidates. We can do this using Descarte's Rule of Signs and a couple of other simple tests. The rule of signs has us look at the signs of the coefficients. They are ...

  + + + + +

There are no sign changes, hence no positive real roots. This means we're looking at negative roots only.

We know that p(0) = 36, the constant term. We can evaluate p(-1) simply, by reversing the signs of the odd-degree coefficients and adding them up:

  1 -4 +13 -36 +36 = 10

So p(0) = 36 and p(-1) = 10. The average rate of change is -26, so we expect p(-2) to be zero or less. That value (-2) may be a good first choice for a possible root.

The synthetic division for the root -2 is shown in the first attachment. It shows a remainder of 0, so -2 is a root. The polynomial with the corresponding factor divided out is ...

  q(x) = x^3 +2x^2 +9x +18

__

We can apply the above steps to this polynomial. It will have no positive real roots. The value of q(0) is 18, and the value of q(-1) is -1 +2 -9 +18 = 10. The average rate of change between these points is (18 -10)/(0 -(-1)) = 8, so we expect the function to be zero or negative between x=-2 and x=-3.

Further, we observe that the ratio of the first two coefficients is 1 : 2, the same as the 9 : 18 ratio of the last two coefficients. This suggests we can factor this polynomial by "grouping."

  q(x) = (x^3 +2x^2) +(9x +18) = x^2(x +2) +9(x +2) = (x^2 +9)(x +2)

So, without doing any more synthetic division, we have found a second root at x = -2. This means -2 is a double root.

Our factorization so far is ...

  p(x) = (x +2)^2(x^2 +9)

__

4. The remaining polynomial factor (x^2 +9) has only complex roots:

  x^2 +9 = 0

  x^2 = -9

  x = ±√(-9)

  x = ±3i . . . . the complex roots

__

5. The graph is shown in the second attachment, along with the graph of the final quadratic factor.

The leading coefficient is positive and p(x) is of even degree, so it will have a general U shape, going to +∞ for large positive and negative values of x.

Since x = -2 is a double root, the graph touches the x-axis there, but does not cross it.

The graph of p(x) shows no symmetry.

______

Comment on the graph

With modern graphing calculator software it is entirely feasible to start by graphing the polynomial, then reading the (rational) roots from the graph. The same calculator can effectively divide out those roots. If the result is a quadratic, its vertex form equation can be read from the graph, making it easy to find any additional real or complex roots.

This graph shows ...

  p(x) = (x +2)^2·q(x)

  q(x) = x^2 +9

Kelas : VII (1 SMP)

Materi : Geometri

Kata Kunci : Garis, Sisi, Rusuk, Bidang

Pembahasan :

Titik adalah bentuk yang paling dasar dalam geometri. Titik ditulis dengan tanda titik dan diberi nama dengan huruf besar. Sebuah titik hanya untuk menunjukkan posisi dan memiliki ukuran nol (panjang nol, lebar nol, dan tinggi nol).

Garis adalah kumpulan titik-titik yang memanjang secara tak berhingga ke dua arah. Sebuah garis memiliki panjang tidak terbatas.

Ruas garis adalah potongan sebuah garis. Sebuah ruas garis memiliki dua titik ujung dan diberi nama menurut kedua titik ujungnya.

Sinar garis merupakan bagian dari sebuah garis, namun hanya memiliki satu titik ujung. Sebuah sinar garis diberi nama dengan huruf titik ujungnya dan titik lain pada sinar garis tersebut.

Sudut adalah dua sinar yang memiliki titik ujung yang sama.

Titik ujung tersebut dinamakan titik sudut dan sinar-sinar garisnya dinamakan sisi-sisi sudut. 

Bidang adalah kumpulan titik yang jumlahnya tak terhingga yang membentuk permukaan rata yang melebar ke segala arah sampai tak terhingga. Sebuah bidang memiliki panjang tak terbatas, lebar tak terbatas, dan tinggi nol. Sebuah bidang biasanya digambarkan dengan gambar segi empat dan diberi nama dengan satu huruf besar.

Rusuk adalah suatu garis yang merupakan pertemuan dari dua sisi bidang.

Dua bidang berpotongan bila terdapat garis persekutuan atau garis potong antara kedua bidang tersebut.

Dua bidang sejajar bila antara kedua bidang tersebut tidak memiliki garis persekutuan.

Dua bidang berhimpit bila setiap titik terletak pada kedua bidang tersebut.

Mari kita lihat soal tersebut.

Jika dua bidang saling berpotongan dan tidak berhimpitan, maka perpotongannya berbentuk garis.

Jadi, jawabannya adalah B.

Semangat!

Answer:

C.

Step-by-step explanation:

a. 2^7 = 128

b. 2^11 = 2048

c. 2^12 = 4096

d. 2^64 = 1.844674407 * 10^19

16^3 = 4096