Triangle FED is a dilation of triangle ABC What is the scale factor used to transform ABC into FED?

Answer:

Step-by-step explanation:

Givens

b1 = 12

b2 = 50

h = 21

Area = ?

Equation

Area = (b1 + b2) * h / 2

Solution

Area = (12 + 50) * 21 / 2

Area = 62 * 21 / 2

Area = 31 * 21

Area = 651

Answer: 2

Hope this Helps!

The common difference of the given arithmetic sequence is 2.

The given arithmetic sequence is -17, -15, -13, .....

We need to find the common difference in the given arithmetic sequence.

A common difference is a difference between consecutive numbers in an arithmetic sequence. To find it, simply subtract the first term from the second term, or the second from the third, or so on...

Now, common difference=-15-(-17)=-15+17=2

-13-(-15)=-13+15=2

Therefore, the common difference of the given arithmetic sequence is 2.

To learn more about an arithmetic sequence visit:

https://brainly.com/question/12952623.

#SPJ2

Answer:

I think the answer is d.)120

Answer:

D. 66

Hope this helps!!

Answer:

540

Step-by-step explanation:

fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45

Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540

Answer:

12.57

Step-by-step explanation:

V=πr^2 h/3

=π×2^2×3/3

Answer:

[tex]12.57\ ft^3[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\Radius\ of\ the\ base\ of\ the\ cone(r)=2\ feet\\Perpendicular\ height\ of\ the\ cone(h)=3\ feet\\Hence,\\We\ know\ that,\\Volume\ of\ a\ cone\ of\ perpendicular\ height\ h,\ and\ a\ base\ radius\ of\ r\ is:\\V=\frac{1}{3} \pi r^2h\\Here,\\Substituting\ r=2\ and\ h=3,\ we\ get:\\Volume\ of\ the\ given\ cone=\frac{1}{3}*\pi*(2)^2*3=\frac{\pi*4*3}{3}=\pi*4 \approx 12.57\ ft^3[/tex]

Answer:

-11,-1, square root of 5-13

Step-by-step explanation:

Answer:

lets use what we know.

given lengths are: 6, 3, 6, and 15.

We need to split the right triangle from the small little rectangle.

Now we add the lengths of the triangle to get the full length:

6 + 6 = 12

now we need to find the base:

15 - 3 = 12

Now we get our area of the triangle:

12 x 12 = 144

144 divided by 2 = 72

Now the small rectangle's area:

6 x 3 = 18

Add both of their areas to get:

72 + 18 = 90 ft2

Answer: Tu respuesta es 90² o la parte inferior.

Step-by-step explanation: Divida la forma en un rectángulo y tringle, luego recomiendo https://www.omnicalculator.com/math/area para los cálculos

Answer:

[tex] \angle HIG \: and \: \angle KLI[/tex]

Step-by-step explanation:

[tex] \angle HIG \: and \: \angle KLI[/tex] are corresponding angles.

Answer:

0.80c

Step-by-step explanation:

'c' represents the original price.  20% off leaves 80% of c, which is the sales price:  0.80c

the second one.

Step-by-step explanation:

sjisidjdododpdpddod

Answer:

Area is: 17.25 because you multiply length * width

Answer:

[tex]7.5 \times 2.3 = \frac{69}{4} [/tex]

is it?

Answer:

276 degrees

Step-by-step explanation:

Angle <CBD

90 - 48 = 42 degrees

Corrisponding center angle = 84 degrees

m arc CAD

360 - 84 = 276 degrees

Answer:

sin θ = [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Substitute cos θ = [tex]\frac{\sqrt{15} }{8}[/tex] into the Pythagorean identity

(sin θ )² + ( [tex]\frac{\sqrt{15} }{8}[/tex] )² = 1

(sin θ )² + [tex]\frac{15}{64}[/tex] = 1

(sin θ )² = 1 - [tex]\frac{15}{64}[/tex] = [tex]\frac{49}{64}[/tex] ( take the square root of both sides )

sin θ = [tex]\sqrt{\frac{49}{64} }[/tex] = [tex]\frac{7}{8}[/tex]

Answer:

Below

Step-by-step explanation:

The answer I got was (-5/2, -9/2) but in your case the answer is:

(-2.5, -4.5)

Answer:

x=1+√13 or x=1−√13

Step-by-step explanation:

Step 1: Subtract 39 from both sides.

5x2−10x−21−39=39−39

5x2−10x−60=0

For this equation: a=5, b=-10, c=-60

5x2+−10x+−60=0

Step 2: Use quadratic formula with a=5, b=-10, c=-60.

x=

−b±√b2−4ac

2a

x=

−(−10)±√(−10)2−4(5)(−60)

2(5)

x=

10±√1300

10

x=1+√13 or x=1−√13

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form by subtracting 39 from both sides.  We get:

5x^2 - 10x - 60 = 0

Reduce this by dividing all four terms by 5:

x^2 - 2x - 12 = 0

Use the quadratic equation to find the roots.  The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:

(-2)^2 - 4(1)(-12)  = -44   of which 4 is a perfect square factor and 11 is not.

Because the discriminant is negative, the given equation has two unequal, complex roots, which are:

      -(-10) ± i√4√11

x = -----------------------

                10

or x = 1 ± (1/5)√11

Answer: the one to the bottom right. The one under the red one.

Step-by-step explanation:

Hope this helps

Answer:

hello your question is incomplete attached below is the missing part

answer : Path C

Step-by-step explanation:

when a positively charged particle is launched past the fixed negatively charged particle in the attached diagram the most likely  Path that will be formed is "C".  and this is

Given that the launched charge is positive hence the field lines will point radially away from the point charge ( fixed negative charge )

Answer:

3 is the answer

Step-by-step explanation:

Mark brainliest

Answer:

B

Step-by-step explanation:

Given:

Two vectors are:

[tex]u=\left <0,6\right>[/tex]

[tex]v=\left <2,17\right>[/tex]

To find:

The projection of u onto v.

Solution:

Magnitude of a vector [tex]v=\left <a,b\right>[/tex] is:

[tex]|v|=\sqrt{a^2+b^2}[/tex]

Dot product of two vector [tex]v_1=\left <a_1,b_1\right>[/tex] and [tex]v_2=\left <a_2,b_2\right>[/tex] is:

[tex]v_1\cdot v_2=a_1a_2+b_1b_2[/tex]

Formula for projection of u onto v is:

[tex]Proj_vu=\dfrac{u\cdot v}{|v|^2}v[/tex]

[tex]Proj_vu=\dfrac{\left <0,6\right>\cdot \left <2,17\right>}{(\sqrt{2^2+17^2)^2}}\left <2,17\right>[/tex]

[tex]Proj_vu=\dfrac{0\cdot 2+6\cdot 17}{4+289}\left <2,17\right>[/tex]

[tex]Proj_vu=\dfrac{0+102}{293}\left <2,17\right>[/tex]

On further simplification, we get

[tex]Proj_vu=\dfrac{102}{293}\left <2,17\right>[/tex]

[tex]Proj_vu=\left <\dfrac{102}{293}\cdot 2,\dfrac{102}{293}\cdot 17\right>[/tex]

[tex]Proj_vu=\left <\dfrac{204}{293},\dfrac{1734}{293}\right>[/tex]

Therefore, the projection of u onto v is [tex]Proj_vu=\left <\dfrac{204}{293},\dfrac{1734}{293}\right>[/tex].

Answer:

tara and range

Step-by-step explanation:

Answer: 50.4

Step-by-step explanation:

The area of a triangle is base multiplied by height, then divided by two.

8* 6.3= 50.4

since theres two triangles you don't divide it

Answer

25(x2−4)

Rewrite 4

as 22.25(x2−22)

Answer:

3+2 = 22 +30=  59 1/2

(x + c)2 = d or (x – c)2 = d. = (c * d)(x) = 4x^3 + 18x^2 - 10x

X=1+2

Step-by-step explanation:

sorry if wrong was every confused

Answer:

Two Real Solutions

Step-by-step explanation:

Use quadratic equation discriminant5t^2+3t-7=0

[tex]\sqrt{b^2-4ac} \\\sqrt{9-4*5*-7}\\\sqrt{149}\\discriminant>0 two real solutons[/tex]:

Since the discriminant is greater then 0, it two real solutions.

Answer:

Step-by-step explanation:

The idea here is to find the value for x and y, then add them together. See the pic I attached below. We will solve for side x first.

Side s is across from the reference angle of 48 degrees; side measuring 50 m is adjacent to the reference angle 48 degrees. Therefore, we will use the tangent ratio to solve for x:

[tex]tan48=\frac{x}{50}[/tex] and

50tan(48) = x so

x = 55.53m

Now we will do the same and solve for y. This time the reference angle is 28 degrees. Side y is opposite the reference angle and the side measuring 50 is adjacent to the reference angle, so we will use the tangent ratio again:

[tex]tan28=\frac{y}{50}[/tex] and

50tan(28) = y so

y = 26.59. Therefore,

x + y = 55.53 + 26.59 and

the height of the taller building is

82.1 m