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mote1985 [20]
3 years ago
12

The first hexagon is dilated to form the second hexagon. Select answers from the drop-down menus to correctly complete the state

ments. The scale factor is . This represents . A hexagon with a side length of 5. An arrow points to a larger hexagon with a side length of 6.25
Mathematics
1 answer:
shusha [124]3 years ago
3 0

Answer: The scale factor is 1.3  .

Step-by-step explanation:

Given: The first hexagon is dilated to form the second hexagon.

The side length of first hexagon=5 units.

The side-length of second hexagon= 6.25 units

When a shape having measure x is dilated by using a scalar factor of k, then the side measure (y) of the image is given by:-

y=kx

Substitute, y=6.5 and x=5  to find the value of k we get

6.5=5k\\\Rightarrow\ k=\frac{6.5}{5}=1.3

Hence, the scale factor is 1.3

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Which answer describes the transformation of f(x)=x2−1 to g(x)=(x+2)2−1 ?
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A new restaurant is attracting customers with searchlights has a radius of 2 feet. What is the searchlights circumference?
Assoli18 [71]

Answer:

12.56 feet

Step-by-step explanation:

The perimeter of a shape is the sum of all its side.

Since circle doesn't have "sides", the perimeter is the length of the whole circle. This has the name "circumference".

The circumference of a circle has the formula:

C=2\pi r

Where

C is the circumference (perimeter of a circle)

r is the radius

Given,

r = 2 feet

We substitute and find the circumference, using 3.14 as \pi,

C=2\pi r\\C=2(3.14) (2)\\C=12.56

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5 0
3 years ago
If x = 5 cm, y = 12 cm, and z = 13 cm, what is the surface area of the geometric shape formed by this net?
Lera25 [3.4K]

Answer:

the answer is C.  210 sq. cm

Step-by-step explanation:

Find the area of the triangle

The area of one of the triangular faces can be found by using the formula below.  

a = 1/2 bh

a = 1/2 (5 cm) (12 cm)

a = 30 sq. cm

Since there are two triangular faces, multiply the area of one triangular face by 2. The area of two triangular faces is 60 cm2.

Next, find the area of each of the three rectangular faces using the formula, area = lw.

1st rectangle

a = lw

a =  (5 cm) (5 cm)

a = 25 sq. cm

2nd rectangle

a = lw

a = (5 cm) (12 cm)

a = 60 sq. cm

3rd rectangle

a = lw

a = (5 cm) (13 cm)

a - 65 sq. cm

Add the three rectangle areas to find a total of 150 sq. cm.

To find the surface area of the triangular prism, add the area of the two triangular faces to the area of the three rectangular faces.

60 sq. cm + 150 sq. cm = 210 sq. cm

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3 years ago
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