if triangle ABC is dilated by a scale factor of 2 what are the coordinates of the image of a ?

Answer:

blank one: greater than blank two: less than

Step-by-step explanation:

Answer: The volume is equal to 1922.65.

Step-by-step explanation:

Diameter is 12 ft, height is 17 ft.

V = πr2h

V = πr2h = π·62·17≈ 1922.65

The volume of the tank is approximately 1814 cubic feet.

A cylinder is a 3-D figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume.

= 3.14 x 2 x 2 x 5

= 62.8 cm³

We have,

The formula for the volume of a cylinder is:

V = πr²h

where V is the volume, r is the radius, h is the height, and π is a constant equal to approximately 3.14.

We are given the diameter of the tank, which is 12 feet.

The radius is half the diameter, so:

r = 12/2 = 6 feet

We are also given the height of the tank, which is 17 feet.

Substituting these values into the formula, we get:

V = πr²h

V = 3.14 × 6² × 17

V ≈ 1814

Therefore,

The volume of the tank is approximately 1814 cubic feet.

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Answer:

306

Step-by-step explanation:

There are 102 triangles, a triangle has 3 sides, each side is 1 cm. 102 x 3=306

Answer:

Step-by-step explanation:

The ratio of nickels to dimes to quarters is given as ...

  N : D : Q = 6 : 1 : 4

The total number of ratio units is 6 +1 +4 = 11. The total number of coins is given as 99, so each "ratio unit" must represent 99/11 = 9 coins. That is, the actual coin count ratios are ...

  N : D : Q = 54 : 9 : 36

Zachary has 54 nickels, 9 dimes, and 36 quarters.

__

Check

The value of the coins is ...

  $0.05 × 54 +$0.10 × 9 +$0.25 ×36 = $2.70 +0.90 + 9.00 = $12.60

Answer: y > x + 4

Step-by-step explanation:

First lets find a linear equation for the dividing line, in the form:

y = mx + b

We know that b is 4, since this is the y-intercept

lets use any point on the graph, I'll use (-4, 0):

y = mx + 4

0 = m(-4) + 4

-4 = -4m

m = 1

So the slope is 1. Our completed formula for the line is:

y = x + 4

Since the left side of this graph is shaded, we know it will either be > or ≥. Since the line is also dotted we know it is denoted by a simple ">" sign.

So our completed inequality equation is: y > x + 4

Hope this helped!

Answer:

[tex]\sf y > x+4[/tex]

Step-by-step explanation:

Choose 2 points on the line:  (-4, 0) and (0, 4)

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-0}{0-(-4)}=1[/tex]

point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=1(x-(-4))[/tex]

[tex]\implies \sf y=x+4[/tex]

Solid line : ≤ or ≥

Dashed line: < or >

Therefore as the line is dashed, and the shading is above the line,

[tex]\implies \sf y > x+4[/tex]

Answer:

Cost per bottle. Therefore cost/bottle. Set 1: 3.79/6=.63 Side note, don’t forget to round each time to the nearest cent. Set 2: 4.50/9=.50 Set 3: 6.89/12=.57 The second package (9-pack for $4.50) is the costs least per bottle.

Step-by-step explanation:

Answer:1 inch = 42 miles

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Change in price =7-4 (new-original)

Percent is (change/orginal) 3/4

.75x100=75%

Answer:75% increase

Step-by-step explanation:

x² + 12x + 27 ≥ 0 ?

french reasoning

it is necessary to factorize therefore to seek the roots of the polynomial

Δ = 12² - 4*1*27 = 144 - 108 = 36 = 6²

x' = (-12 + 6)/2 = -3

x'' = (-12 - 6)/2 = -9

so x² + 12x + 27 = (x + 3) (x + 9)

x              - inf              -9              -3            + inf

x+3                      -               -        0       +

x+9                     -        0      +                +

( ) ( )                    +       0       -       0       +

x² + 12x + 27 ≥ 0  on ] -inf ; - 9 ] U [- 3 ; + inf [

on a graph

XXXXXXXXXX - 9.............-3 XXXXXXXXX

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

no bc the two figures need to be exactly the same size

Step-by-step explanation:

Answer:

Triangle ABC is similar to triangle EDC because Measure of angle 3 equals measure of angle 4 and Measure of angle 1 equals measure of angle 5

Step-by-step explanation:

Answer:

D)     Triangle ABC is similar to triangle EDC , because m∠6 = m∠2 and m∠3 = m∠4

Step-by-step explanation:

trust me on this one ;)

A soccer coach plans to order more shirts for her team so Each shirt costs $9.85 and She has $77 left in her uniform budget. The possible number of shirts she can buy is  7 shirts.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that A soccer coach plans to order more shirts for her team. Each shirt costs $9.85 and She has $77 left in her uniform budget. WE need to find the possible number of shirts she can buy.

Therefore,

77/9.85 = 7.88888

We an’t have part of a shirt so, she can buy 7 shirts.

Hence,  A soccer coach plans to order more shirts for her team so Each shirt costs $9.85 and She has $77 left in her uniform budget. The possible number of shirts she can buy is  7 shirts.

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Answer:

Step-by-step explanation:

Answer:

t=V‒x/a

Step-by-step explanation:

V=x+at (add ‒x in both side)

V‒x=x+at‒x

V‒x=at

V‒x/a=at/a

V‒x/a=t

so the formula is t=V‒x/a

Answer:

x=-3 and 2x-3y=-12

Step-by-step explanation:

The solution to lines 1 and 2 is (-3, 2)

The only lines that intersect that point are x=-3 and 2x-3y=-12

Answer:

For the small boxes on the side, drag the one that you think is correct to the grey spaces. Your supposed to enter the fraction in the simpliest form

Step-by-step explanation:

Answer:

Ruth needs 5quarts of oil, she has 2quarts in one bottle and 1 quart in another.

therefore:

2+1=3

5-3=2

Ruth needs 2 more quarts.

Answer:

2( 4 + 2X) = 3x + 4

8 + 4x = 3x + 4

8 + 4x - 3x - 4 = 0

x + 4 = 0

x = -4

Step-by-step explanation:

Answer:

[tex]\tt volume=\boxed{6}\: units^3[/tex]

Step-by-step explanation:

[tex]\tt volume=(\frac{9}{2})(\frac{4}{3} )[/tex]

[tex]\tt volume=\frac{36}{6}[/tex]

[tex]\tt volume=6[/tex]

~

Given :

Maximum speed limit, s = 80 km/hr

Elena's mom is driving at u = 75 mph.

The police officer explains that 8 kilometres is approximately 5 miles.

To Find :

Was she speeding and by how many km/hr.

Solution :

It is given that 8 km = 5 miles

So,

[tex]1\ miles=\dfrac{8}{5}\ km\\\\1\ miles = 1.6\ km[/tex]

Now, Speed of Elena's mom in km/hr is :

[tex]Speed =\dfrac{75\ miles\times\dfrac{1.6\ km}{1\ miles} }{1 \ hour}\\\\Speed = \dfrac{120\ km}{1 \ hour}\\\\Speed = 120\ km/hour[/tex]

Yes, she is over speeding and by ( 120 - 80 ) = 40 km/hr.

Hence, this is the required solution.

Elena's mom was driving at 120 km per hour, with which she was effectively speeding, exceeding the allowed speed by 40 km per hour.

To determine if Elena's mom was speeding and to determine how many kilometers per hour was she over the speed limit of 80kph the following calculation should be performed:

Therefore, Elena's mom was driving at 120 km per hour, with which she was effectively speeding, exceeding the allowed speed by 40 km per hour.

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Answer:

1 inch:2 feet

Step-by-step explanation:

Answer:

48ft²

Step-by-step explanation:

I am not sure, but thinking it as a rectangle,

area of rectangle= l×b=6×8=48ft²

Answer:

Your answer is 140

Step-by-step explanation:

Rectangle:

16 x 8 = 128

Triangle:

1/2(6 x 4)

1/2(24)

24 / 2 = 12

Add areas:

128 + 12 = 140

Answer:

(-2, 1)

Step-by-step explanation:

The 4th point must be vertically above (-2, -4) and horizontally to the left of (3, 1).

Its coordinates are (-2, 1).