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vlabodo [156]
3 years ago
12

The regular pentagon below is a scale drawing of an original pentagon that was made by using a scale factor of One-fourth. A hex

agon with side lengths of 5.5 inches. If each side of the pentagon has the same measure, which applies to the original pentagon? Select three options.
Mathematics
1 answer:
Lana71 [14]3 years ago
8 0

Answer:

-The scale drawing represents a reduction

-each side of the original is 22 in long

-the scale drawing is proportional to the original

Step-by-step explanation:

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Carpet costs $21.95 per square yard and the padding to put under it costs $2.55 per square yard. Felix plans to install padding
marusya05 [52]

Answer:

$1679.175 or $1679.18

Step-by-step explanation:

split the carpet into rectangles to make it easier to look at

one rectangle is 2 yards in height and 9 yards in width (5 yards plus 4 yards)

area of a rectangle = (w)(h), so 9 x 2 = 18 yards in area.

second triangle is 4 yards in width, and 3 yards in height.

area of a rectangle = (w)(h), so 4 x 3 = 12 yards in area.

Total area = 30 yards

30(21.95)(2.55) = $1679.175 or $1679.18

3 0
3 years ago
Read 2 more answers
Find the area of the figure 3m 6m 8m<br> A.48m<br> B.36m<br> C.24m<br> D.60m
Pavlova-9 [17]

Answer:

B. 36 square meters

Step-by-step explanation:

Find the areas of the rectangle and triangle. Then, subtract the area of the triangle from the area of the rectangle to get the area of only the figure.

rectangle A = 8(6) = 48 square meters

triangle A = 1/2(8)(3) = 12 square meters

48 - 12 = 36 square meters

3 0
2 years ago
The areas of the two watch faces have a ratio of 16:25 What is the ratio of the radius of the smaller watch face to the radius o
Leona [35]

Answer:

The ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

Step-by-step explanation:

Let the Area of smaller watch face be A_1

Also Let the Area of Larger watch face be A_2

Also Let the radius of smaller watch face be r_1

Also Let the radius of Larger watch face be r_2

Now given:

\frac{A_1}{A_2} =\frac{16}{25}

We need to find the ratio of the radius of the smaller watch face to the radius of the larger watch face.

Solution:

Since the watch face is in circular form.

Then we can say that;

Area of the circle is equal 'π' times square of the radius 'r'.

framing in equation form we get;

A_1 = \pi {r_1}^2

A_2 = \pi {r_2}^2

So we get;

\frac{A_1}{A_2}= \frac{\pi {r_1}^2}{\pi {r_2}^2}

Substituting the value we get;

\frac{16}{25}= \frac{\pi {r_1}^2}{\pi {r_2}^2}

Now 'π' from numerator and denominator gets cancelled.

\frac{16}{25}= \frac{{r_1}^2}{{r_2}^2}

Now Taking square roots on both side we get;

\sqrt{\frac{16}{25}}= \sqrt{\frac{{r_1}^2}{{r_2}^2}}\\\\\frac{4}{5}= \frac{r_1}{r_2}

Hence the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

7 0
3 years ago
3. Find the volume for the rectangular prism.<br> 7.5 ft<br> 9.25 ft<br> 4 ft
Sunny_sXe [5.5K]

Answer:

277.5 square units

Step-by-step explanation:

To find the volume of a rectangular prism you must multiply length times width times height. When you multiply 7.5 x 9.25 x 4 you get the answer 277.5. Hope this helps:))

6 0
3 years ago
Question 5 (12 points)
Dima020 [189]

Answer:

see attached for diagram

a) √13

b) √29

c) 4

Step-by-step explanation:

Equation of the circle:  (x + 1)^2 + (y - 3)^2 = 16

⇒ center = (-1, 3)

⇒ radius = √16 = 4

Distance between 2 points formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

a)  let (-1, 3) = (x_1,y_1)

    let (2, 1) = (x_2, y_2)

 \implies \sqrt{(2+1)^2+(1-3)^2} =\sqrt{13}

b)  let (-1, 3) = (x_1,y_1)

    let (4, 1) = (x_2, y_2)

\implies \sqrt{(4+1)^2+(1-3)^2} =\sqrt{29}

c)  let (-1, 3) = (x_1,y_1)

    let (3, 3) = (x_2, y_2)

\implies \sqrt{(3+1)^2+(3-3)^2} =4

4 0
2 years ago
Read 2 more answers
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