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4 years ago

What is the perimeter of a square whose diagonal is 13.010

Mathematics

1 answer:

miskamm [114]4 years ago

8 0

The perimeter would be ≈ 36.797836892947.

Rounded would be about 37, or 36.8.

Hope this helps!!!!

$P=4a$

$d\sqrt{2a}$

Solving for P:

$P=2\sqrt{2d} =2*\sqrt{2*13.01}$ ≈36.79784

Hope this helps!!

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A house number is displayed on a plaque in the shape of a regular 7-sided polygon. The area of the plaque is 70 squared inches.

Svetllana [295]

Answer:

The perimeter of the plaque is 28 inches.

Step-by-step explanation:

Given : A house number is displayed on a plaque in the shape of a regular 7-sided polygon. The area of the plaque is 70 squared inches. The perpendicular distance from a side to the center is 5 inches to the nearest inch.

To find : What is the perimeter of the plaque?

Solution :

The 7-sided polygon can be divided into seven triangles whose height, h is equal to the perpendicular distance from each side to the center.

The base of each triangle is equal to the length of a side, s.

The area of each triangle is $A=\frac{1}{2}\times s\times h$

The area of the whole polygon is $A_p=\frac{1}{2}\times 7s\times h$

Now, the perimeter of a regular 7-sided polygon is $P=7s$ .

Substitute in area,

$A_p=\frac{1}{2}\times P\times h$

We have given, $A_p=70\ in^2 and h=5\ in$

$70=\frac{1}{2}\times P\times 5$

$P=\frac{70\times 2}{5}$

$P=28$

The perimeter of the plaque is 28 inches.

3 0

4 years ago

Santa's Wonderland is an extravagant holiday light display that is open from early November through January each year. The entry

Fofino [41]

Ok,
f(0.35)= 7f/20

f(-5.2)=-26f/5

f(10)= 10f

f(-0.5)= -f/2

as for the last question I am not quite sure, sorry....hope I helped a little :)

5 0

4 years ago

If the area of a rectangle with width X can be represented with the expression a(x) = x(14-x), what is the perimeter of the rect

dimaraw [331]

Expression for perimeter is 2(14-x + x) = 28

Step-by-step explanation:

Step 1:

Given expression for area of the rectangle = a(x) = x(14-x) where x is the width. Then length = 14-x since area = length × width

Step 2:

Find expression for perimeter of the rectangle.

Perimeter of the rectangle = 2(length + width) = 2(14 - x + x) = 2 × 14 = 28

7 0

4 years ago

PLEASE HELP ME WITH ALL ITS DUE TODAY!!

Vadim26 [7]

Answer:

Line 1 Slope: - 4/3

Line 2 Slope: 3/4

Line 3 Slope: 3/4

---------------------------------------------------------------------------------------------------------------

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Perpendicular

Line 2 and Line 3: Parallel

Step-by-step explanation:

Line 1: Passes through (6, -4) and (0, 4).

We first find the slope by using this equation (y2 - y1) / (x2 - x1) -

(4 - (-4)) / (0 - 6)

(4 + 4) / (-6)

8 / -6

-4 / 3

Slope = - 4/3

___________________________________________________________

Line 2: Passes through (-4, -2) and (8, 7).

We first find the slope by using this equation (y2 - y1) / (x2 - x1) -

(7 - (-2)) / (8 - (-4))

(7 + 2) / (12)

9 / 12

3 / 4

Slope = 3/4

___________________________________________________________

Line 3: Passes through (-4, -5) and (4, 1).

We first find the slope by using this equation (y2 - y1) / (x2 - x1) -

(1 - (-5)) / (4 - (-4))

(1 + 5) / (4 + 4)

6 / 8

3 / 4

Slope = 3/4

___________________________________________________________

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Perpendicular

Line 2 and Line 3: Parallel

5 0

2 years ago

Shelly compared the number of oak trees to the number of maple trees as a part of a study about hardwood trees in a woodlot. She

Dovator [93]

With the new ratio

3 maple trees for every 11 oak trees

132 oak trees (11*12=132)
3*12 = 36 maple trees

36 maple trees plus 132 oak trees = 168 total trees

since your original ratio was 9:5 that means 9/14 of the trees were maple; so set up a proportion to find the number of trees that were maple before the bugs
$\frac{9}{14}= \frac{x}{168}$ cross multiply
14x = 1512
x= 108 maple trees before there were bugs

Finally do 108 - 36 (maple trees before, minus, maple trees after)

difference = 78 maple trees

6 0

3 years ago