Which transformation will create a similar and a congruent triangle?

1)

Mars2501 [29]

Answer:

$186.86

Step-by-step explanation:

4 eggs cost:

1 dollar per dozen (12 eggs), so by unitary method (ratios), we can find cost of 4 eggs. Shown below:

$\frac{1}{12}=\frac{x}{4}\\12x=4\\x=0.33$

So, 4 eggs cost $0.33 approx

12 lb. flour cost:

2.50 dollar per pound, so 12 pounds would simply cost:

2.5 * 12 = $30

14 lb of sugar cost:

4.50 dollar per pound means 14 pounds would cost:

4.5 * 14 = $63

2 ready-made edible flowers cost:

5 cents for each flower means 2 flowers would cost:

5 cent = 0.05 dollars

0.05 * 2 = $0.10

We add all up to find cost of 1 cake. Shown below:

Cost of 1 cake = $0.33 + $30 + $63 + $0.10 = $93.43

Cost of 2 cakes = $93.43 * 2 = $186.86

8 0

3 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

Assume she starts from the origin (0,0)

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

3 years ago

Simplify the following expression 6X2 plus 8X -3 minus 3X2-6

Murrr4er [49]

Answer:

-24

Step-by-step explanation:

I´m guessing by the big x sign you want me to multiply so the first step in the equation is to multiply because of PEMDAS so(6*2)+(8*-3)-3*2-6,

so 6*2=12,8*-3=-24,-3*2=-6

12+-24-6-6,

12-24=-12,-6+-6=-12

-12+-12=-24

7 0

3 years ago

What is the system of equations for 2x + 2y = 10 and 5x - 2y=4?

vagabundo [1.1K]

$2x + 2y = 10 \\ 5x - 2y = 4 \\ 7x = 14 \\ x = 2 \\ \\ 2(2) + 2y = 10 \\ 4 + 2y = 10 \\ 2y = 6 \\ y = 3$
(2,3)

8 0

3 years ago

Read 2 more answers

What is the unit rate of 183 miles in three hours

Ber [7]

61 miles per hour, because if you divide 183/3 you will get 61.

3 0

3 years ago

Read 2 more answers