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Masteriza [31]
3 years ago
10

Triangle ABC ​is transformed with the center of dilation at the origin.

Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0
Dilation is a transformation that maps an object to an image by stretching or diminishing it but retaining the original shape. It is described by stating the center of dilation and the dilation scale factor.
Dilation scale factor is given by dividing the coordinate of the image with the corresponding coordinate of the object.
In this case, if we consider A and A' then; k(-5,-4) = (-3.75, -3)
Thus, -5k = -3.75 or -4k = -3
          k = 3/4
Hence the scale factor of dilation is 3/4
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11(4t + 1) what is the answer
stepladder [879]

Answer:

44t + 11

Step-by-step explanation:

11(4t + 1)

Distribute 11 amongst the values inside the parenthesis

11(4t) + 11(1)

Multiply

44t + 11

Hope this helps :)

4 0
3 years ago
Read 2 more answers
F(x)=5(x-2) <br> find x if f(x)=-20
Lapatulllka [165]

Answer:

x = -2

Step-by-step explanation:

f(x)= 5(x-2)

since, f(x)= -20

-20 = 5(x-2)

x-2 = -20/5

x = - 4 + 2

x = -2

3 0
2 years ago
10(2.1q -2) + (7.5q+18)
aliina [53]

Answer:

Simplify the expression.

28.5q−2

Step-by-step explanation:

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6 0
3 years ago
X
sergeinik [125]

Answer:

A. x = 58°

B. x = 10m

C. a = 44°

All approximated to nearest whole number.

Step-by-step explanation:

All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.

Recall: SOHCAHTOA

a. Adjacent = 4.8cm,

Hypotenuse = 9cm

Angle to find =x°

Thus, we would apply the following formula:

Cos θ = Adjacent/Hypotenuse

Cos θ = 4.8/9 = 0.5333

θ = Cos-¹(0.5333) = 57.77

x ≈ 58° (to nearest whole number)

b. Opposite side = x

Hypothenuse = 40 m

Included angle = 14°

We would use:

Sine θ = opposite/hypothenuse

Sin (14) = x/40

Multiply both sides by 40

40*sin(14) = x

40*0.2419 = x

x = 9.676 = 10 m (to nearest whole number)

c. Opposite = 87mm

Adjacent = 91mm

θ = a°

We would use:

Tan θ = opposite/adjacent

Tan θ = 87/91

Tan θ = 0.9560

θ = tan-¹(0.9560)

θ = a = 43.71

a ≈ 44° (to nearest whole number)

7 0
3 years ago
Please explain how to do this, I'm using all my points<br><br>A. 40 L<br>B. 80 L<br>C. 4 L <br>D. 8L
exis [7]

Answer: choice A. 40 liters

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

Explanation:

x = number of liters of the 50% alcohol solution

If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).

So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below

0.50*x + 36 = 0.70*(40+x)

0.50*x + 36 = 0.70*(40)+0.70*(x)

0.50*x + 36 = 28+0.70*x

36 - 28 = 0.70*x - 0.50x

8 = 0.20x

0.20x = 8

x = 8/0.20

x = 40

So that is why the answer is choice A. 40 liters

6 0
3 years ago
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