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rosijanka [135]
3 years ago
10

A bookmark has an area of 21 square centimeters. Its perimeter is 20 centimeters. What are the dimensions of the bookmark?

Mathematics
1 answer:
user100 [1]3 years ago
4 0

Answer: The dimensions are 7cm and 3cm.

Step-by-step explanation:

The following equation can be deduced from the question

L × W = 21 ....... i

2L + 2W = 20 .......... ii

Divide equation ii through by 2

(2L + 2W = 20) / 2

L + W = 10 ....... iii

From equation iii

L = 10 - W ......... iv

Put equation iv into I

L × W = 21

(10 - W) × W = 21

10W - W² = 21

W² - 10W + 21 = 0

W² - 7W - 3W + 21 = 0

W(W - 7) - 3(W - 7) = 0

W - 3 = 0

W = 0+3

W = 3 centimeter

Since,

Length × Width = 21

Length = 21/3

Length = 7 centimeters

The dimensions are 7cm and 3cm.

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A pentagon can be divided into five congruent triangles. The function t=5 tan theta models the height of each triangle. What is
pentagon [3]
We assume that the dimension 5 has units of feet.

The area of each triangle will be
  A = (1/2)bh
where b=2×(5 ft), h=(5 ft)tan(54°)
Then
  A = (1/2)(2×5 ft)(5 ft)(tan(54°)
  A = 25×tan(54°) ft²

There are 5 such triangles making up this pentagon, so the total area is
  total area = 5×25×tan(54°) ft² ≈ 172 ft²

6 0
3 years ago
What is the degree of vertex B and G?
Marat540 [252]

Answer:

degree of vertex B = 2

degree of vertex g = 4

Step-by-step explanation:

Using given picture we need to find about what is the degree of vertex B and G.

In graph theory, we know that the degree (or valency) of a vertex of a graph is the number of edges incident to the vertex.

So we just need to count how many edges are incindent on vertex B and G.

From picture we see that number of edges incident on vertex B = 2

Hence degree of vertex B = 2

From picture we see that number of edges incident on vertex G = 4

Hence degree of vertex g = 4

6 0
3 years ago
Help me solve please! The math club has 57 members who are in sixth or seventh grades. There are twice as many sixth graders as
saul85 [17]
We know there is 57 members are in the math club and there is twice as many sixth grades than the seventh. To find out how many sixth graders are in the club, we do:

x = seventh graders
2x = sixth graders

2x + x = 3x

57=3x
57 ÷ 3 = 3x ÷3
19 = x

So there is 19 seventh graders and 19×2= 38 sixth graders
7 0
3 years ago
4. The perimeter of a church window is 60 inches. If the window is in the shape of a regular pentagon, what is the length of eac
mihalych1998 [28]
I think the answer is C
5 0
3 years ago
5. Jada is making circular birthday invitations for her friends.
Novosadov [1.4K]

Answer:

Step-by-step explanation:

Jada is making circular invitations

we have d=12 cm, the radius r=6

she needs to find out the circumference

C=2x3.14x r

C=2x 3.14x6=37.68

180/37.68=4.77

she can make just 4 invitations

5 0
3 years ago
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