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zalisa [80]
3 years ago
5

Andy estimated that he would need 75 feet of lumber for a tree house project. he later found that the actual amount of lumber ne

eded was 64 feet. what was the percent error of andy's estimation?
Mathematics
1 answer:
Kipish [7]3 years ago
8 0
Step 1
<span>Calculate the error
</span>error=75-64-----> 11 ft

step 2
<span>Divide the error by the exact value
</span>11/64=0.1719

step 3
<span>Convert that to a percentage 
</span>0.1719*100=17.19%

the answer is
17.19%

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The sum of two numbers is 39 and the difference is 3. What are the numbers?
frosja888 [35]

Answer: 21 & 18

Step-by-step explanation:

Sum of two numbers is 39

Difference is 3

Let the numbers be x & y

X+y=39........equation 1

X-y=3...........equation 2

X=3+y............equation 3

Substitute equation 3 into equation 1

(3+y)+y=39

3+y+y=39

3+2y=39

2y=39-3

2y=36

Y=36/2

Y=18

Substitute for y in equation 2

X-y=3

X-18=3

X=3+18

X=21

The two numbers are 21 & 18

8 0
3 years ago
Which is the graph of the sequence defined by the function f(x + 1) = Three-fifthsf(x) when the first term in the sequence is 37
nadezda [96]

Answer: On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

Step-by-step explanation:

We have the relation:

f(x + 1) = (3/5)*f(x)

such that the first term is 375

Then:

f(1) = 375.

Using the above relation, we have that:

f(1 + 1) = f(2) = (3/5)*f(1) = (3/5)*375 = 225

Then we have the pair (2, 225)

The next term is:

f(2 + 1) = f(3) = (3/5)*f(2) = (3/5)*225 = 135

Then we have the pair (3, 135)

the next term is:

f(3 + 1) = f(4) = (3/5)*f(3) = (3/5)*135 = 81

Then we have the pair (3, 81)

Then the correct option is the first one; On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

9 0
2 years ago
Read 2 more answers
What is the circumference, in centimeters, of the circle? Use 3.14 for π. Enter your answer in the box. (the diameter is 24cm)
gizmo_the_mogwai [7]

The circumference of the circle is 75.36 cm.

  • Step 1: Given data:

Diameter of the circle is 24 cm,

\pi = 3.14

  • Step 2: Formula used and calculation:

Circumference of the circle is 2\pi r.

So, Radius, r = 24/2 = 12 cm.

Now, Putting the value in the above formula, we get

2 × 3.14 ×12 = 3.14 × 24 = 75.36 cm.

Hence, the circumference of the circle is 75.36 cm.

Learn more about circumference of the circle, refer:

brainly.com/question/23964435

8 0
2 years ago
The net of a rectangular prism is shown below.
Mamont248 [21]

Answer:

28

Step-by-step explanation:

Using a net to find the surface area of a rectangular prism

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units.

Surface Area of a Rectangular Prism using Nets

A rectangular prism or cuboid is formed by folding a net as shown −

Cuboid

We can see from the net that there are two rectangles with dimensions 3 cm by 6 cm, two rectangles with dimensions 2 cm by 6 cm and two rectangles with dimensions 2 cm by 3 cm. The total surface area is then

2 × 3 × 6 + 2 × 2 × 6 + 2 × 2 × 3 = 72 cm2

Example 1:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism in Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 6 ; w = 5; h = 3

Step 2:

Surface area of given prism = 26×5+6×3+3×5

= 230+18+15

= 126 square cm

Example 2:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 5; w = 6; h = 4

Step 2:

Surface area of given prism = 25×6+5×4+6×4

= 230+20+24

= 148 square cm

6 0
2 years ago
Read 2 more answers
The length of the minute hand of a clock is
svetlana [45]

Answer:

Therefore,

The length of the path traced  by the outer tip of the minute hand in one hour, is 88 inches.

Step-by-step explanation:

Given:

The length of the minute hand of a clock is,

Which is as Radius,

Therefore,

Radius = r = length of the minute hand = 14\ inches

pi = 22/7

To Find:

The length of the path traced  by the outer tip of the minute hand in one hour, will be One full rotation, that is

Circumference, C = ?

Solution:

Circumference, is given by,

Circumference = 2\pi r

Circumference = 2\times \dfrac{22}{7}\times 14=88\ inches

Therefore,

The length of the path traced  by the outer tip of the minute hand in one hour, is 88 inches.

7 0
2 years ago
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